What is the measure of Angle A? (picture included)

What Is The Measure Of Angle A? (picture Included)

Answers

Answer 1

Answer:

19.4

Step-by-step explanation:

10x-14=180

Answer 2

Answer:

19.4

Step-by-step explanation:

we know a + b + c = 180 so:

x + 5x + 4x -14 = 180

10x = 180 + 14

10x = 194

x = 19.4 degrees


Related Questions

2. Apple Strudle muffins
Makes 12 muffins
You are having 14 people for brunch and each person will eat 2 muffins. How
many muffins do you need? _ Adjust the recipe

I really need a answer right now, I have no idea how to do this please help​

Answers

Answer:

Since there are 14 people who will eat 2 muffins each, you will need to make 28 muffins. To get this many muffins you will have to multiply the recipe by 2 1/3. Multiply each ingredient by 2 1/3 to make enough muffins

Step-by-step explanation:

100% - 9/10
Pleeaaase help

Answers

Answer:

-0.8  or 991/10

(also it can be 10%)

Step-by-step explanation:

991            

 ——— = 99.10000  

 10              

Step by step solution :

Step  1  :

            9

Simplify   ——

           10

Equation at the end of step  1  :

         9

 100 -  ——

        10

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

           100     100 • 10

    100 =  ———  =  ————————

            1         10    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

100 • 10 - (9)     991

——————————————  =  ———

      10           10  

Final result :

 991            

 ——— = 99.10000  

 10              

The value of expression 1/10.

Given that we need to solve expression 100% - 9/10,

To explain the calculation of "100% - 9/10," let's break it down step by step:

First, let's simplify the fraction 9/10. This fraction represents a ratio where the numerator (9) is the number of parts, and the denominator (10) is the total number of parts.

In this case, it means that we have 9 parts out of a total of 10 parts.

Next, we need to calculate the percentage equivalent of 9/10. To do this, we can multiply the fraction by 100.

So, 9/10 × 100 = 90%.

This means that 9/10 is equivalent to 90%.

Finally, we subtract 90% from 100%. Since 100% represents the whole or the entirety, subtracting 90% from it gives us the remaining percentage.

Mathematically, 100% - 90% = 10%

10% = 1/10

Therefore, 100% - 9/10 equals 10%.

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Parallel, intersecting or skew?
AB and BC.
AE and BF.
EF and AD.
Plane ABC and Plane ABF.
Plane AED and Plane BFC.
HELP!!!

Answers

Two lines are:

Parallel if they don't intersect and lie on the same planeIntersecting if...well, they intersect at one pointSkew if they don't intersect and they lie on two different planes

So, we have:

AB and BC intersect at point BAE and BF don't intersect, but both lie on the plane AEFBEF and AD don't intersect and don't lie on a common planeABC and ABF intersect on segment ABAED and BFC are parallel (they're both perpendicular to plane ABC)
Final answer:

The relationships between the lines and planes depend on their orientation in space. Without diagrams, it's only possible to give general descriptions, suggesting various intersecting, parallel, or skew scenarios.

Explanation:

Without diagrams or additional context, it's difficult to determine the relationships between the segments and planes, but I will provide general descriptions. Lines AB and BC appear to intersect if 'B' is the shared point between them. Lines AE and BF could be parallel, intersecting, or skew, depending on their orientation in space. Lines EF and AD again depend on their spatial orientation. Plane ABC and Plane ABF may intersect along line AB, if they are not the same plane. Plane AED and Plane BFC could also intersect, be parallel, or neither, depending on how the points are positioned in space.

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Type of Desserts Number of Students
Ice Cream 8
Cake 6
Banana Pudding 7
Apple Pie 4
Jell-O 3

Myles asked his classmates to name their favorite desserts. He displayed the results in the table here.


Which graph matches the data in the table?
A) A
B) B
C) C
D) D

Answers

if the picture was  bigger  i would be able to help could u get it a  bit bigger

find a formula for the nth term of the arithmetic sequence the first term is -2 and the common difference is 8

Answers

Answer:

a(n) = -2 + 8(n - 1)

Step-by-step explanation:

General formula is a(n) = a(1) + d(n - 1), where d is the common difference.

Here a(n) = -2 + 8(n - 1)

Answer:

a(n)=8n-10

Step-by-step explanation:

thats the answer if you are on Acellus :)

Nolan drove 234 miles in 4 hours. On average, how fast did he drive in miles per
hour? Express your answer in simplest form.

Answers

Answer:

58.5 Miles

Step-by-step explanation:

234 m = 4 hrs

Divide the total amount of miles to hours

234/4 = 58.5

58.5 m = 1 hr

I hope this helped you!

Answer:

12

Step-by-step explanation:

Joe is building a fort for his little brother out of boxes. He is wondering how much room there will be inside the
40 in
20 in
20 in
30 in
60 in
How much space is inside the fort?

Answers

the answer is 1600 square inches
The answer is 1600....

A baker me 5 pounds of the dough 8/9 of the dough to make sandwich rolls how much of the dough is left over

Answers

Answer:

4.444...

Step-by-step explanation:

To do this question you find out 8/9 of 5

8/9 x 5

The method is: you divide by the denominator (bottom number of a fraction) and multiply by the numerator ( top number of a fraction)

= 5 ÷ 9 = 0.555…

= 0.555 x 8 = 4.444 recurring.

Answer:

[tex]4\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{5}{1}[/tex] - [tex]\frac{8}{9}[/tex]

[tex]\frac{45-8}{9}[/tex] = [tex]\frac{37}{9}=4\frac{1}{9}[/tex]

Sofia deposited $6400 into her savings account for a period of six years. How much
simple interest did her money earn at an interest rate of 1.5%?

Answers

Answer:$576

Step-by-step explanation:

To find the simple interest on$6400 on 6yr at 1.5%

Simple interest=prt/100

I=6400×1.5×6/100

I=$576

What is the hypotenuse of

1,2,3

8,7,6

15,20,25

Answers

1,2,3 hypotenuse: 3
8,7,6 hypotenuse: 8
15,20,25 hypotenuse: 25

Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)

Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is unknown.
Group of answer choices

13 meters

14 meters

200 meters

208 meters

Answers

Answer:

The hypotenuse is 14 m to the nearest meter.

Step-by-step explanation:

By Pythagoras:

h^2 = 12^2 + 8^2

h^2 = 208

h = √208

h = 14.4 m.

Answer:

its 14! hope this helps

Step-by-step explanation:

A race begins with 2 1/2 miles through town, continues through the park for 2 1/3 miles, and finishes at the track after the last 1/6 mile. A volunteer is stationed every quarter mile and at the finish line to pass out cups of water and cheer on the runners. How many volunteers are needed?

Answers

Answer:

You would need 20 volunteers

Step-by-step explanation:

If you make all of the fractions have a denominator of 6 then they would all add up to 1 which would be 2+2+1 which is 5 miles. Then you multiply 5 by 4 (for ever quarter mile) and it equals 20

Answer:20 I think

Step-by-step explanation:

So you add all the miles up 2 1/2 + 2 1/3 + 1/6 = 5 miles

A volunteer is stationed every quarter (1/4)

1 mile divided into 1/4 is 4

So 5 times 4 is 20

please answer correctly, will mark brainliest

Answers

Answer:

Since the values vary from 0.5 to 4.5, let's take 5 intervals of width 1 unit each

(Lower boundary is included, upper boundary is not)

Average

no. of --------> frequency

movies

_______ __________

0 - 1 --------------> 1

1 - 2 --------------> 5

2 - 3 --------------> 5

3 - 4 --------------> 2

4 - 5 --------------> 1

For frequencies, just count the data values in each interval

Help me plz now this is very important

Answers

Answer:

A

Step-by-step explanation:

11-2.9= 8.1

so the right answer is of option A

ANSWER FAST!!! Craig's family compared cell phone plans to get the best deal. At A-Mobile, the family plan is $39 for the

first two lines and $9 for each additional line. At B-Mobile, the family plan is $29 for the first two lines and $15

for each additional line. Craig's family needs to purchase 5 cell phone lines. Which family plan should

Craig's family go with? (Step by step ex. pls too)

Answers

Company A: 39+9(x-2)
with x being the number of lines needed (this is because it is 39 for the first two and 9 for any addition lines)

Company B: 29+15(x-2)
with x being the number of lines needed.

plugging in 5 as x because he needs five lines, we get
A: 39+9(3)=66
B: 29+15(3)=74

Because Company A only charges $66 and Company B charges $74, Craig should go with Company A.

how do you find the domain of f(x)= x over 2x^2-5x-3

Answers

Answer:

D = ]-∞ , -1/2[ U ]-1/2 , 3[ U ]3 , +∞[

Step-by-step explanation:

hello :

f(x) = x/(2x²-5x-3)

f exist for : 2x²-5x-3 ≠ 0

2x²-5x-3  = 0

∆ = b² -4ac      a=2  and b= -5  and  c= -3

∆ = (-5)² - 4(2)(-3) = 49 = 7²

X1 = (-b-√∆ )/2a  = (5-7)/4 = -1/2

X2 = (-b+√∆ )/2a  = (5+7)/4 = 3

the domain is : D = ]-∞ , -1/2[ U ]-1/2 , 3[ U ]3 , +∞[

-

Which equation could be used to
approximate the data in the scatter plot
below? *
a. y=-1.4x + 3.5
b. y = 1.4x - 3.5
c. y=-1.4x - 3.5
d. y = 1.4x + 3.5

Answers

D sounds like the best answer math can be hard tho

Which pair of ratios form a proportion? 97 points

5 : 10 and 10 : 15

8 : 12 and 18 : 27

9 : 15 and 24 : 30

6 : 20 and 7 : 30


Answers

Answer:

8 : 12 and 18 : 27

Step-by-step explanation:

5:10 and 10:15 simplify to: 1:2 and 2:3

8:12 and 18:27 simplify to: 2:3 and 2:3

9:15 and 24:30 simplify to: 3:5 and 4:5

6:20 and 7:30 simplify to: 3:10 and 7:30

The ONLY pair of equal proportions is the second one (8 : 12 and 18 : 27), making it the right answer

Answer:

Second one:

8 : 12 and 18 : 27

Step-by-step explanation:

5 : 10 and 10 : 15

5/10 , 10/15

1/2 , 2/3

Not constant, so not proportional

8 : 12 and 18 : 27

8/12 , 18/27

2/3 , 2/3

Constant, so proportional

9 : 15 and 24 : 30

9/15 , 24/30

3/5 , 4/5

Not constant, so not proportional

6 : 20 and 7 : 30

6/20 , 7/30

3/10 , 7/30

Not constant, so not proportional

The number line shows four elevations in Death Valley National Park.Enter the difference ,in feet between the elevation at Zabriskie Point and Furnace Creek.

Answers

Given:

The number of elevations in Death Valley National Park is given below:

Zabriskie Point = 648 feet

Stovepipe Wells = 0 feet

Furnace Creek = -178 feet

Badwater Basin = -282 feet

To find the difference between the elevation at Zabriskie Point and Furnace Creek.

Formula

Difference means subtraction.a-(-b) = a+b

So,

The difference between the elevation at Zabriskie Point and Furnace Creek = (648-(-178)) feet

= 648+178 feet

= 826 feet

Hence,

The difference between the elevation at Zabriskie Point and Furnace Creek is 826 feet.

The elevation difference between Zabriskie Point and Furnace Creek in Death Valley National Park is 826 feet, obtained by adding the positive elevations.

To find the difference between the elevation at Zabriskie Point and Furnace Creek in Death Valley National Park, follow these steps:

Use the formula for subtracting negative numbers:

Difference = Elevation at Zabriskie Point - (Elevation at Furnace Creek)

Given elevations:

Elevation at Zabriskie Point = 648 feet

Elevation at Furnace Creek = -178 feet

Substitute these values into the formula:

Difference = 648 - (-178) feet

Remember that subtracting a negative is the same as adding the positive:

Difference = 648 + 178 feet

Perform the addition:

Difference = 826 feet

Therefore, the difference between the elevation at Zabriskie Point and Furnace Creek is 826 feet.

What is the surface area of the cone? Express your answer in terms of π.b

Answers

Given:

Radius of the cone = 5 ft

Slant height of the cone = 21 ft

To find:

The surface area of the cone

Solution:

Surface area of cone formula:

[tex]SA=\pi r^{2}+\pi r l[/tex]

where r is the radius and l is the slant height.

[tex]SA=\pi \times 5^{2}+\pi \times 5 \times 21[/tex]

[tex]SA=\pi \times 25+\pi \times 105[/tex]

[tex]SA=25 \pi+ 105 \pi[/tex]

[tex]SA=130 \pi[/tex]

The surface area of the cone is 130π square feet.

The total surface area of the cone is 130π square feet.

How to Calculate the Surface Area of a Cone

The surface area of a cone can be calculated using two main components: the base and the lateral (side) surface. If the radius of the base is r and the slant height is l, the formulas for these areas become essential.

The area of the base is found using the formula for the area of a circle: πr².The lateral surface area is calculated using: πrl, where l is the slant height.

Therefore, the total surface area A of the cone is:

A = πr² + πrl


Calculate the surface area using the given values:

A =

HURRY

What is the length of a diagonal of a cube with a side length of 3 cm?
StartRoot 18 EndRoot cm
StartRoot 27 EndRoot cm
StartRoot 33 EndRoot cm
StartRoot 38 EndRoot cm

Answers

For the given cube, the length of the diagonal is given by:

[tex]d = \sqrt{27} cm[/tex]

How to find the diagonal of the cube?

For a cube of side length S, the diagonal of the cube is given by the expression:

[tex]d = \sqrt{S^2 + S^2 + S^2} = \sqrt{3}*S[/tex]

In this case, the side length is equal to 3cm, replacing that we get:

[tex]d = \sqrt{3*S^2} = \sqrt{3*(3)^2} cm = \sqrt{27} cm[/tex]

The correct option is the second one, counting from the top.

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5/8 divided by 1 1/3 in lowest form

Answers

HOPE THIS WILL HELP U...

Answer:

15/32

Step-by-step explanation:

5/8/1 1/3

Which can also be written as 5/8÷ 1 1/3

So let's solve

5/8÷4/3

So remember that the division will change to multiplication and 4/3 will also change to 3/4

5/8×3/4

15/32

This is the lowest form it can be since the two are not divisible by the same number

So the final answer is 15/32

PLZ NEED ANSWERS NOW
Use the figure to find the measure.

Area triangle DEF =

3/4
4/3
3

Answers

Final answer:

The area of triangle DEF cannot be determined without specific measurements for the base and height. To find the area of a triangle, use the formula \( \frac{1}{2} \times \text{base} \times \text{height} \), and be attentive to significant figures.

Explanation:

To determine the measure of the area of triangle DEF, we would need specific information about the dimensions of the triangle, such as the base and the height. Without this information or a corresponding figure provided in the question, we cannot calculate the area. However, I can guide you on how to calculate it once you have the necessary dimensions.

To calculate the area of a triangle, the formula is \( \frac{1}{2} \times \text{base} \times \text{height} \). For example, if you have a triangle with a base of 166 mm and a height of 930.0 mm, the area would be \( \frac{1}{2} \times 166 \text{mm} \times 930.0 \text{mm} \). Make sure to convert the measurements to the same units if they are not already, and pay attention to the proper number of significant figures in your final answer.

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What is the slope of the line?
3(y - 1) = 2x + 2
Choose 1 answer:

Answers

Answer:

2/3

Step-by-step explanation:

3(y - 1) = 2x + 2

3y - 3 = 2x + 2

3y = 2x + 5

3y/3 = 2x/3 + 5/3

y = 2/3x + 5/3

Does that help?



The table shows the number of apples and oranges sold at a grocery store over a 6 day period. Which statement is TRUE?

A) The range of oranges is 43 more than the range of apples.
B) The range of apples is 43 more than the range of oranges.
C) The range of oranges is 76 more than the range of apples.
Eliminate
D) The range of apples is 76 more than the range of oranges

Answers

Answer:

B) The range of apples is 43 more than the range of oranges.

Step-by-step explanation:

The range of Apples:

172 - 98 = 74

The range of Oranges:

96 - 65 = 31

The range of Apples is more than of Oranges in 43 Apples.

The range of apples is 43 more than the range of oranges.

What is Range of data?

The mean represents the sum of all the numbers. In an ordered list, the middle number is the median. The most frequent number is the mode. The highest number less the smallest number is the range.

By deducting the lowest value from the greatest value, the range is computed.

Given:

From the given data

Range for Apples

= Highest - lowest

= 172 - 98

= 74

and, Range for Oranges

= Highest - lowest

= 96 - 65

= 31

Thus, the range of apples is 43 more than the range of oranges.

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Question 7 (5 points)
A class of 24 students went on a picnic. They had a choice between having a turkey
sandwich or a vegetarian sandwich. Eighteen students selected turkey, and the rest
selected vegetarian. Write a ratio to compare the number of turkey sandwiches to the number of vegetarian sandwiches.
1:3
3:1
4:1
4:3

Answers

Answer:

B, 3:1

Step-by-step explanation:

18:6 is 3:1 if you divide both sides by 6

Final answer:

The correct ratio to compare the number of turkey sandwiches to vegetarian sandwiches is 3:1, with 18 students selecting turkey and 6 students selecting vegetarian sandwiches.

Explanation:

The correct ratio to compare the number of turkey sandwiches to the number of vegetarian sandwiches is 3:1.

First, determine that 18 students chose turkey sandwiches, which leaves 6 students choosing vegetarian sandwiches (24 total students - 18 turkey sandwiches).Next, calculate the ratio by dividing the number of turkey sandwiches by the number of vegetarian sandwiches, resulting in 18/6 = 3.Therefore, the ratio of turkey sandwiches to vegetarian sandwiches is 3:1.

The graph shows that f(x)=(one-third) Superscript x is translated horizontally and vertically to get the function (one-third) Superscript x minus h.

On a coordinate plane, 2 exponential functions are shown. f (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 3), (0, 1), (1, 0.3). g (x) decreases in quadrant 1 into quadrant 4. It crosses the x-axis at (4, 0), and goes through (5, negative 2).

What is the value of k?

−5
−3
3
5

Answers

It is the number 3.              

multiply the following: 6z^2(7z^2+3z-2)

Answers

Final answer:

To multiply the expression 6z^2 by the trinomial (7z^2+3z-2), distribute 6z^2 across each term in the trinomial to obtain 42z^4 + 18z^3 - 12z^2.

Explanation:

The student has asked to multiply the expression 6z2 by the trinomial (7z2+3z-2). To solve this problem, we'll apply the distributive property, which entails multiplying the term outside the parenthesis by each term inside the parenthesis.

Multiply the term 6z2 by 7z2, which gives 42z4.Multiply 6z2 by 3z, yielding 18z3.Finally, multiply 6z2 by -2 to get -12z2.

Combine all the products to get the final expanded expression: 42z4 + 18z3 - 12z2.

The product of [tex]\(6z^2\)[/tex] and [tex]\(7z^2 + 3z - 2\)[/tex] is [tex]\(42z^4 + 18z^3 - 12z^2\)[/tex].

To multiply [tex]\(6z^2\)[/tex] by the trinomial [tex]\(7z^2 + 3z - 2\)[/tex], you need to distribute [tex]\(6z^2\)[/tex] to each term inside the parentheses. Here's how you can do it stepwise:

1. Multiply [tex]\(6z^2\)[/tex] by the first term of the trinomial [tex](\(7z^2\))[/tex]:

[tex]\[ 6z^2 \cdot 7z^2 = 42z^4 \][/tex]

2. Multiply [tex]\(6z^2\)[/tex] by the second term of the trinomial [tex](\(3z\)):[/tex]

[tex]\[ 6z^2 \cdot 3z = 18z^3 \][/tex]

3. Multiply [tex]\(6z^2\)[/tex] by the third term of the trinomial [tex](\(-2\))[/tex]:

[tex]\[ 6z^2 \cdot (-2) = -12z^2 \][/tex]

Now, combine these results:

[tex]\[ 6z^2(7z^2 + 3z - 2) = 42z^4 + 18z^3 - 12z^2 \][/tex]

So, the product of [tex]\(6z^2\)[/tex] and [tex]\(7z^2 + 3z - 2\)[/tex] is [tex]\(42z^4 + 18z^3 - 12z^2\)[/tex].

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Three marbles are randomly chosen from the bag.

What is the probability that there is at most one purple marble?

Answers

Answer:Not very great probability

Step-by-step explanation:

   There is not a great probability because there are 8 yellow, 9 green, and 5 red. The less purple marbles there are, the less of a chance that a purple marble will be pulled from the bag because there are only three of the purple marbles.

Answer:

0.971

Step-by-step explanation:

i did it

Question in the picture:)

Answers

Given:

Set A represents rational numbers.

Set B represents integers.

Set C represents whole numbers.

To find:

Which of the value represents a value that could be placed in set C.

Solution:

Rational number is ratio of two numbers which of the form [tex]\frac{p}{q}, \ q\neq0[/tex].

Integer is a set of positive and negative numbers including zero.

Integers: {..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ...}

Whole numbers are positive numbers with zero.

Whole numbers: {0, 1, 2, 3, 4, ...}

Option A: -10

-10 is a integer. So that, it is placed in set B not in set C.

Therefore, it is not true.

Option B: 2.5

2.5 can be written as [tex]\frac{5}{2}[/tex]. It is a rational number.

Rational number placed in set A.

Therefore, it is not true.

Option C: [tex]\frac{1}{4}[/tex]

[tex]\frac{1}{4}[/tex] is a rational number.

Rational number placed in set A.

Therefore, it is not true.

Option D: [tex]\frac{12}{4}[/tex]

[tex]$\frac{12}{4}=3[/tex] (cancelling common factors)

3 is a whole number.

Whole numbers placed in set C.

Therefore, it is true.

Hence [tex]\frac{12}{4}[/tex] is the value that could be placed in set C.

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An arc subtends a central angle measuring 23\dfrac{2\pi}{3}32start fraction, 2, pi, divided by, 3, end fractionradians.What fraction of the circumference is this arc?of the circumference If you drive 27.54 km to school and then 21.86 km to yourfriends, how far do you drive? Help ASAP!! The amount of force needed to keep a 0.3 kg box moving at a constant speed of r m/s of frictionless ice is?A.) 0NB.) 10NC.) 1.2ND.) 0.3NE.) 2N Please I need help with this question What was the effect of having many small states ruled by French nobles ? least three sentences describing the impact of the Montgomery Bus Boycott. Steve went to Macy's to buy clothing, Steve got to the checkout, and he had$96.30 worth of clothing in his arms. If he has a 30% of coupon, how muchwould be his final bill? Roberta introduces Steve to her friends as "my associate." Steve purports to act as Roberta's agent in several business transactions with those friends. If Roberta is liable for Steve's actions, it will be because their relationship is All of the following statements about the map above are true EXCEPT: *Captionless ImageComanche territory is the region west and north of most of the main cities in Texas.This map shows the settlement line that occurred after the Civil War and the westward expansion of the late 1800s.Most Texas cities were in the Southeast.The dotted line represents the boundary of frontier settlement. In terms of bond energies of the chemicals involved, why can hydrogen can be used as a fuel? A monochromatic light passes through a narrow slit and forms a diffraction pattern on a screen behind the slit. As the wavelength of the light decreases, Explain how beaks of finches have adapted to the environment The stockholders equity section of Martino Inc. at the beginning of the current year appears below.Common stock, $10 par value, authorized 1,090,000 shares, 353,000 shares issued and outstanding $3,530,000Paid-in capital in excess of parcommon stock 686,000Retained earnings 578,000During the current year, the following transactions occurred.1. The company issued to the stockholders 142,000 rights. Ten rights are needed to buy one share of stock at $33. The rights were void after 30 days. The market price of the stock at this time was $35 per share.2. The company sold to the public a $219,000, 10% bond issue at 104. The company also issued with each $100 bond one detachable stock purchase warrant, which provided for the purchase of common stock at $31 per share. Shortly after issuance, similar bonds without warrants were selling at 96 and the warrants at $8.3. All but 7,100 of the rights issued in (1) were exercised in 30 days.4. At the end of the year, 80% of the warrants in (2) had been exercised, and the remaining were outstanding and in good standing.5. During the current year, the company granted stock options for 10,600 shares of common stock to company executives. The company, using a fair value option-pricing model, determines that each option is worth $10. The option price is $31. The options were to expire at year-end and were considered compensation for the current year.6. All but 1,060 shares related to the stock-option plan were exercised by year-end. The expiration resulted because one of the executives failed to fulfill an obligation related to the employment contract. Collapse question part(a)Prepare general journal entries for the current year to record the transactions listed above. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No entry" for the account titles and enter 0 for the amounts.) richard loves to golf he has 54 golf balls he bought 18 more and received 2 packs of 12 golf balls for his birthday when he went to play he lost 12 golf balls and gave 14 to his brother how many golf balls does richard have left You perform a doubleslit experiment in order to measure the wavelength of the new laser that you received for your birthday. You set your slit spacing at 1.17 mm and place your screen 8.95 m from the slits. Then, you illuminate the slits with your new toy and find on the screen that the tenth bright fringe is 4.57 cm away from the central bright fringe (counted as the zeroth bright fringe). What is your laser's wavelength expressed in nanometers? Geometry is not something im good at, picture has the info :) Which of these was an effect of the U.S. Supreme Court ruling in Plessy v. Ferguson? AMany African Americans/Blacks became small-business owners.BMany African American/Black youths were required to work in the fields. CAfrican Americans/Blacks were restricted from entering many public places. DAfrican American/Black sutdents had access to a college education for the firs 4. Consider the following polynomials: 6(x2 3) and 5x2 + x + 11a. Find the sum of the polynomials.b. Find the difference of the polynomials. In the figure below, the radius of circle P is 10 units. The arc length of ABC is 16 pi. What is the arc measure of AC, in degrees? Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem isvorth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of eachpoint value are on the test.Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.A)x + y = 29, 5x + 2y = 100B)x + y = 100, 5x + 2y = 29C)5x + y = 29, 2y + x = 100D)2x + y = 100, 5y + x = 29