Find the measure of the base angles in an isosceles triangle if the third angle measures 47° .... Show work please

Answers

Answer 1

In any triangle, the angle values must add up to 180 degrees. If the third angle is 47 degrees and the remaining two angles are the same value, it would be really simple to solve.
First, subtract 47 from 180. You are left with 133. That is the sum of the two base angles combined.
In order to find the value for EACH base angle, divide 133 by 2. You are left with 66.5.
That is the answer! Both of the base angles are 66.5 degrees each.

Answer 2

Final answer:

Each base angle of the isosceles triangle measures 66.5°, found by subtracting the given angle from 180° and dividing the remainder by 2.

Explanation:

To find the measure of the base angles in an isosceles triangle when one angle measures 47°, we will use the fact that the sum of all angles in any triangle is always 180°.

Additionally, we know from geometry that in an isosceles triangle, the angles opposite the equal sides are equal. Applying these principles, we first subtract the given angle from the total sum of the angles:

180° (total angles in a triangle) - 47° (given angle) = 133°.

Now, since the remaining two angles are equal, we divide 133° by 2 to find the measure of each base angle:

133° ÷ 2 = 66.5°.

Thus, each base angle of the isosceles triangle measures 66.5°.

Related Questions

at the pet shelter,for every 7 dogs there are 5 cats.what is the ratio of dogs to cats?
a.5:7
b.7:5
c.7:12
d.12:7

Answers

B Because there a 7 dogs and five cats

The answer would be B. When it asks Dogs to Cats. The value for dogs would go first. If it was cats to dogs the cat value would be first

Some students in a school were surveyed to determine how many hours they study per night and their grade-point averages. The results are shown in the table.

If the data are entered into a regression calculator, what is the approximate y-intercept of the resulting regression line?

–1.76
–0.63
0.63
1.76

Answers

It appears either the teacher provided the calculator result or you did so yourself. Either way, the regression equation is approximately y = 0.628x + 1.759

The equation is in slope intercept form y = mx+b
m = slope = 0.628
b = y intercept = 1.759

The value 1.759 rounds to 1.76 which is the answer

1.76 is the answer
:)

Examine the system of equations. y = –3x – 2, y = 7 The value of x is . The solution to this system of equations is .

Answers

Hello!

You can substitute y into the other equation

7 = -3x - 2

Add 2 to both sides

9 = -3x

Divide both sides by -3

-3 = x

The answer is -3

Hope this helps!

The value of x is -3 and the solution to this system of equations is (-3 , 7).

When a number of variables are involved, the system of equation is generated. The system of equation has been the set of simultaneous equations as well.

Given :

[tex]y = -3x-2[/tex] ---- (1)

[tex]y=7[/tex] ----- (2)

Solution :

From, equation (1) and (2) we get the value of x to be:

[tex]7=-3x-2[/tex]

[tex]9=-3x[/tex]

[tex]x=-3[/tex]

Therefore, the value of x is -3.

For more information, refer the link given below

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Jill has a balance of $5,000 on her credit card with an annual interest rate of 15%. To pay off the $5,000 in three years, Jill will have to make a minimum payment of $173.33 per month. To pay off the $5,000 in five years, Jill will have to make a minimum payment of $118.95 per month. How much more does Jill have to pay when the length of the loan changes from 3 years to 5 years? A) $1,239.88 B) $1,957.68 C) $2,137.00 D) $897.12

Answers

mark me brainlyest if i get this right 1 sec
 c is what it is

Answer:

The answer is D) $897.12

Step-by-step explanation:

3 years = 36 months

173.33 * 36 = 6239.88

5 years = 60 months

118.95 * 60 = 7137.00

7137.00 - 6239.88 = 897.12

An equation is shown below:

5(2x − 3) = 5

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work.

Answers

10x -15 = 5
10x = 20
x = 2

This equation has one solution.

The solution would be x = 2

A) This equation has only one solution. B) The solution would be x = 2.

How to find the solution to the given system of equation?

For that ,we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.

If there comes a = a situation for any a, then there are infinite solutions.

Given equation is 5(2x − 3) = 5

By solving further,

10x -15 = 5

10x = 20

x = 2

A) This equation has only one solution.

B) The solution would be x = 2

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The graph below represents which system of inequalities?

Option A

y > 2x − 3

y > −x − 3

Option B

y < 2x − 2

y < −x + 3

Option C

y ≤ 2x − 2

y > −x + 3

Option D

None of the above

Answers

I don’t know the graph

An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answer to the nearest hundredth. (Use 3.14 for π.)
10.47 in.3
20.93 in.3
5.23 in.3
15.7 in.3

Answers

we know that
[volume of a cone]=(1/3)*pi*r²*h
for r=2/2---> 1 in
h=5 in

[volume of a cone]=(1/3)*pi*1²*5-----> 5.23 in³

the answer is
5.23 in.3

To find the volume of the cone, you will use the formula for the volume of a cone and replace the r(radius and the h(height) with the given values.

V = 1/3 x pi x r^2 x h
1/3 x 3.14 x 1^2 x 5
V = 5.2281

The volume is approximately 5.23 cubic inches.

Which of the following best describes the symmetry of a trapezoid? Select all that apply.
a) point
b) line
c) plane
d) rotational

Answers

I believe the answer is A

Answer: A.) Point.

Step-by-step explanation:

The Smith family has a two-and-a-half-foot-long sandwich to share. One-half foot of the sandwich will serve one person. How many one-half foot servings are in this sandwich?

Answers

To find the amount of servings, we divide the total sandwich by the amount given to one person:
2 1/2 / 1/2
This can simplify into:
5/2 / 1/2
Dividing a fraction is basically multiplying it's flipped side:
5/2 * 2
10/2 = 5
There are 5 servings in the sandwich

PLESE HELP FAST!!!!!! WILL GIVE BRAINLIEST!!!! I NEED HELP ASAP!!
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r. Jones took a survey of college students and found that 60 out of 65 students are liberal arts majors. If a college has 8,943 students, what is the expected number of students who are liberal arts majors?

Answers

the answer to your question is 8255 or 92%

Here, we need to calculate the expected number of students who are liberal arts major.

It is given that, 60 out of 65 students are liberal arts major.

So, we will calculate the percentage of liberal arts major from the total.

Percentage of liberal arts major = [tex] \frac{Number of liberal arts major}{Total students} [/tex] X 100

Percentage of liberal arts major = [tex] \frac{60}{65} [/tex] X 100

Percentage of liberal arts major = 92.31 %

Now, we will calculate for 8,943 liberal arts majors -

In total students of 8,943, liberal arts majors = 92.31 % X 8,943

In total students of 8,943, liberal arts majors =8,256 students (approximately)

brainliest FOR WHO HELP ME a spherical mini donut hole has a diameter of 6 centimeters. A large spherical donut hole has a diameter of 9 centimeters. Approximately how much greater is the volume of a large donut hole than the volume of a mini donut hole?
86 cm³
113 cm³
226 cm³
268 cm³

Answers

4/3 *3.14*4.5^3-Donut Hole
4/3 *3.14*3^3-Mini Donut

Then Subtract the greater answer from the smaller one.

the answer is 113 if my math is correct

Find P(C|Y) from the information in the table.

To the nearest tenth, P(C|Y) =

Answers

From the definition of conditional probability,

[tex]\mathbb P(C\mid Y)=\dfrac{\mathbb P(C\cap Y)}{\mathbb P(Y)}[/tex]

and by the law of total probability,

[tex]\mathbb P(Y)=\mathbb P(Y\cap A)+\mathbb P(Y\cap B)+\mathbb P(Y\cap C)[/tex]

In other words, each cell in the grid left of and above the total column and row represents the joint probabilities (e.g. [tex]\mathbb P(X\cap A)=\dfrac{32}{146}[/tex]). So,

[tex]\mathbb P(C\mid Y)=\dfrac{15}{30}=\dfrac12=0.5[/tex]

Answer:0.5

Step-by-step explanation:

William gave 4 football cards to each of the 6 friends.Suppose he had 54 cards left. Write and solve an equation to find how many cards each friend a initially had.

Answers

T=total

T = 6(4) + 54
William had 78 at the start

Reply if you need more help!

I dont know this one!

Please answer the picture.

Answers

I hope that helps. Feel free to message me anytime if you need more help

PLEASE help!!! what is 4y + 12x= 24 in y intercept form????

Answers

4y + 12x = 24
Solve for y. Subtract 12x from both sides.

4y = 24 - 12x
Divide both sides by 4.

y = 6 - 3x

Y=3x+6. Subtract over the 12x then divide by 4 to get the answer

Solve for x.
a) x=7.5 b) x=16 c) x=17.5 d) x=27.5

Answers

x = 17.5

Note: This is done in the interior triangle as the angle will be equivalent to the other two angles.

Here's how you solve it:

You have to use the law of cosine for the interior triangle; the law of cosine is: c^2 = a^2 +b^2 - 2ab times cos (C)

Substitute each factor so that the equation now appears as so:

h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80)

This will give you: h = 11.67

Now, you have to apply this to the law of sin which is a over sin(A) = b over sin (B) = c over sin (C). (Lowercase letters are the opposite side of uppercase angles.)

This will then give you:

11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)

sin -1 ((8 times sin (80)) over 11.67) is equal to S

sin -1 ((10 times sin (80)0 over 11.67)) is equal to T

Because you now know the angles of S and T, you need to use the law of sin again.

t over sin (T) = s over sin (S)

t = 10 + x
s = 8 + 18 = 22

Thus, you need to substitute the variables to get this equation:

10 + x over sin (57.54) = 22 over sin (42.45)

x = 22 times sin (57.54) over sin (42.45) and next to this is -10

Thus, getting the answer of x = 17.50

Answer: x = 17.5

Step-by-step explanation:

You're using interior angles

Use the law of cosine: c^2 = a^2 +b^2 - 2ab times cos (C)

h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80) so h = 11.67

11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)

sin -1 ((8 times sin (80)) over 11.67) is equal to S

sin -1 ((10 times sin (80)0 over 11.67)) is equal to T

t over sin (T) = s over sin (S)

t = 10 + x

s = 8 + 18 = 22

10 + x over sin (57.54) = 22 over sin (42.45)

x = 22 times sin (57.54) over sin (42.45) and next to this is -10

the answer of x = 17.50

Hope this helps, have a BLESSED and wonderful day! :-)

-Cutiepatutie <3

the price for dinner in a resteraunt was $80. The customer paid an addition 7% meals tax and left a $15 tip. how much meals tax did the customer pay?

Answers

Final answer:

The customer paid a meal's tax of $5.60 on an $80 dinner, calculated by converting the 7% tax rate to a decimal (0.07) and multiplying it by the cost of the meal.

Explanation:

The question pertains to calculating the meal's tax that the customer paid when the price for dinner at a restaurant was $80 and the meal's tax rate was 7%. To calculate the meal's tax, we need to convert the percentage to a decimal and then multiply it by the total cost of the meal.

To do this:

Convert the percent to a decimal: 7% becomes 0.07.

Multiply this decimal by the cost of the meal: 0.07 × $80 = $5.60.

Therefore, the customer paid $5.60 in meal's tax.

A bag contains a total of 25 marbles. Five of the marbles are blue, 3 are red, 8 are green, and 9 are white. If a marble is drawn from the bag and then replaced 50 times, about how many times would a green marble be drawn?
A. 4
B. 8
C. 16
D. 24

Answers

There is an 8/25 chance of drawing a green marble, and since the marbles aee being drawn 50 times, then you have to muliply 8 by 2 to get 16/50. Since the marble is replaced after it’s drawn, the chances of drawing a green marble stay the same with each new pick, so 16/50 probability means that about 16 marbles will be drawn. (C)

Anthony purchased 6 fruit bars and 3 chocolate-nut bars for a camping trip. He spent $4.12 on the bars. Anthony wrote the following equation: . What did he define as the variable x?

Answers

X is the number of bars that in trip

He used x to represent the number of items in which he bought the fruit bars. The piece of information missing is that we need to know the price, guessing it look like this
(price of FB)x+(price of CB)x=4.12

Find the slope of the line that passes through each pair of points.

1. (5,2),(3,1)

2.(-7,4),(-5,0)

Answers

1. (1-2)/(3-5) = (-1)/(-2) = 1/2

2. (0-4)/(-5-7) = (-4)/(-12) = 1/3

To find the slope you’d do the second y-value minus the first y-value over the second x-value minus the first x-value.

What is likely to happen if a new aggregate demand curve moves to the right?

Answers

If the aggregate demand curve shifts to the right it refers to the increase in total quantity of the demanded goods and services. It also signifies economic expansion. If there are also new fiscal policies, then there will also be an increase in aggregate demand.

Answer:

Prices and output would rise, and the equilibrium point will change.

A company is deciding which box to use for their merchandise. The first box measures 8 inches wide, 6.25 inches long, and 10.5 inches high. The second box measures 9 inches wide, 5.5 inches long, and 11.5 inches high. What is the separate surface areas of both boxes?

Answers

Box 1: 525 cubic inches Box 2: 581.625 cubic inches

1) In a trapezoid ABCD with legs

AB

and

CD

, the diagonals intersect each other at point O. Compare the areas of: ΔABD and ΔACD

and then

2) In a trapezoid ABCD with legs

AB

and

CD

, the diagonals intersect each other at point O. Compare the areas of:

ΔABO and ΔCDO

pleassssee help

Answers

Answer:

1) Area of ΔABD = Area of ΔACD and

2) Area of ΔABO = Area of ΔCDO

Step-by-step explanation:

1) In the given trapezoid ABCD,

AD || BC

Triangles ΔABD and ΔACD lie on the same base AD and lie between the parallel lines AD and BC.

Hence, they are equal in area.

Therefore, Area of ΔABD = Area of ΔACD.

2) From 1), we have

Ar (ΔABD) = Ar(ΔACD)

Subtract Ar (ΔAOD) from both sides,

Ar (ΔABD) - Ar (ΔAOD) = Ar(ΔACD) - Ar (ΔAOD)

Ar (ΔABO) = Ar (ΔCDO)

There are 16 pink jelly beans in a bag. The ratio of red to pink jelly beans in the bag is 3/4. Which proportion could NOT be used to find r, the number of red jelly beans in the bag

Answers

the complete question in the attached figure

Let
r----------> the number of red jelly beans in the bag
p---------> the number of pink jelly beans in the bag

we know that
r/p=3/4
p=16
so
r/p=3/4--------> r/16=3/4-----> r=(3/4)*16-----> r=12

therefore

case A) 3/4=r/16-----> is correct, the proportion could be used to find r

case B) 16/r=4/3----> r=16/(4/3)----> r=16*3/4-----> r=12-----> is correct
the proportion could be used to find r

case C) 3/4=r/16-----> is correct, the proportion could be used to find r

case D) 3/4=r/16-----> is correct, the proportion could be used to find r

the answer is
All proportions could be used to find r

A circular plate has circumference 21.4 inches. What is the area of this plate? Use 3.14 for pi.

Answers

Final answer:

Given a circle with a circumference of 21.4 inches, first calculate the radius using the circumference formula, then use the radius to calculate the circle's area, which results in approximately 36.29 square inches.

Explanation:

This question involves determining the area of a circle given its circumference. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a constant (approximated to 3.14). Given that the circumference is 21.4 inches, we can rearrange this formula to find the radius (r = C/2π), giving us a radius of approximately 3.4 inches.

Now, knowing the radius, we can use it to find the area using the formula for the area of a circle, which is A = πr². Plugging in the values, we find that the area is approximately 36.29 square inches.

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the greatest common factor gcf of 2 monomiald is 3x^2y. One of the monomials is 3x^4y . Which couod be the other monomial.

Answers

While I cannot see your answer choices, the correct answer would be one that has a coefficient that is a multiple of 3 and has an x raised to an exponent of no more than 2. It could have any other variables in it.

The reason this has to be is because of the GCF. Since 3 is part of the GCF, and the other monomial has a coefficient of 3, this means the missing monomial must be divisible by 3 as well.

Since x² is part of the GCF, the missing monomial must contain x². However, if it were to contain x³ or anything larger, the GCF would have x with a higher exponent.

Final answer:

The other monomial must have the factors of 3x^2y, with the possibility of having higher powers of y, but not lower, as this would change the GCF. An example of a compatible monomial with 3x^4y is 3x^2y^2.

Explanation:

The question is asking for the other monomial given that the greatest common factor (GCF) of two monomials is 3x^2y and one of the monomials is 3x^4y. Since the GCF is the product of the lowest powers of common factors in the monomials, the other monomial must have at least the factors 3, x^2, and y to a certain power. It can have these factors to higher powers as well, but not to lower powers, since it would then alter the GCF.

An example of another monomial that could be paired with 3x^4y is 3x^2y^2, because it has the factors of the given GCF with potentially higher powers, without affecting the GCF. Therefore, any monomial of the form 3x^2y^n (where n is greater than or equal to 1) could be the other monomial.

Need help with this one

Answers

Multiply 5 by 3 and get 15.4 + 15 = 19

That's cake! You have to multiply 3 by 5 to get 15. Then you add that to 4 and viola! 19! :3

If the sum of three numbers is 144, what is the average of the three numbers?

Answers

The average will always be 48. No matter what the numbers are, they will equal 144 and there will always be 3 numbers so you divide 144 by 3 and that equals 48.

Final answer:

The average of three numbers that sum to 144 is 48, found by dividing 144 by 3.

Explanation:

The average of three numbers is the sum of those numbers divided by three. In this case, if the sum of three numbers is 144, then the average can be found by dividing 144 by 3. Calculating this, we get the average, which is 48 (144 ÷ 3 = 48). Hence, the average of the three numbers is 48.

-1 ≥ -8; Multiply both sides by -2

Answers

2[tex] \leq [/tex]16

Determine the factors of ax + ab + 2by + 2xy.

Answers

ax + ab + 2by + 2xy =(ax + ab) + (2by + 2xy)=

=a(x+b) + 2y(x+b) =(x+b)(a+2y)

ax + ab + 2by + 2xy = (x+b)(a+2y)

Answer: (x+b) (a+2y)

Step-by-step explanation:

ax+ab+2by+2xy

split the equatuion in half

1. ax+ab 2. 2by+2xy

gcf=a gcf=2y

ax/a=x 2by/2y= b

ab/a=b 2xy/2y= x

a(x+b) 2y(x+b)

Answer :(x+b)(a+2y)

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.Which statement best represents the belief in laissez-faire? F. Government should protect children by prohibiting the employment of anyone under the age of 16. G. Monopolization over any one industry should be made illegal as it hurts other businesses ability to compete. H. Railroads may not charge farmers higher rates for transporting crops over shorter distances than longer ones. J. Government regulation in the steel business hurts the ability of industries to make a significant profit Which form of cell transport allows small molecules to move from an area of higher concentration to an area of lower concentration without energy being required from the cell? 1/1+sin theta + 1/1-sin theta Equal volumes of 1 molar hydrochloric acid (hcl) and 1 molar sodium hydroxide base (naoh) are mixed. after mixing, the solution will be: The presence of abnormal amounts of protein in urine can be used as an indicator of ________ damagea. loop of henleb. pctc. dctd. glomerular Read Mary Antins biography from "The Promised Land."Mary Antin (1881-1949), immigration rights activist, came to the United States during the third great wave of immigration (1881-1920), when more than 23 million immigrants came to America. These new arrivals were largely from eastern and southern Europe. Although born into poverty, Antin rose out of it through education and eventually attended Columbia University.What is the most likely reason why this biography was included before the main text? A) to entertain the reader with exciting details about the authors life B) to persuade the reader to feel sympathy for the author C) to inform the reader that the author's education was very unusualD) to help the reader understand the author's purpose for writing the story can someone please explan how I got this wrong? Solve for x in the triangleusing laws of cosine 7th grade math! Proportionality and similar shapesPLEASE answer all or as much as you can, thank you! Social loafing is most likely to occur amonga. audience members who are asked to applaud after a speaker is introducedb. factory workers paid on the basis of individual level of productivityc. a group of runners competing for first place in a raced. students who are each assigned a different topic for their course term papers Which classifiers would be best used to indicate a vehicle parking on the street? Essay on '' Role of Students in the fight against Tobacco, Alcohol and Drugs '' maximum length of essay is 1000 words You have two containers of equal volume. one is full of helium gas. the other holds an equal mass of nitrogen gas both gases have the same pressure how does thegas. bothgaseshavethesamepressure. howdoesthetemperature of the helium compare to the temperature of the nitrogen? What was the main concern of the portion of Roosevelt's audience that wanted the United States to stay neutral in the conflict? A.That Roosevelt wanted to spend money on something that wasn't important B.That Roosevelt didn't understand the true nature of the conflict in Europe C.That Roosevelt didn't care about people who were suffering in other nations D.That Roosevelt was trying to lead them into a war they didn't want or need Fifty-eight boys were asked if they play football and/or baseball. Thirty-one of them said they do not play baseball. Sixteen of them said they play football. Twenty of them said they do not play baseball or football.Enter your answers in the boxes to complete the two-way table based on the given data. How does the home above create a strong sense of security? a. the windows surrounding the home b. the stone and stucco materials used c. the roofs and terraces that jut out d. all of the above What term is given to the actual name of a color? David took a survey of 12 people to find out what their favorite animal is.mOf those, 1/3 of the people said they like dogs best. How can you find out how many people liked dogs the best? based on the details in the riddle of the rosetta stone, what event helped scholars determine that the demonic language was related to the egyptian language? Could someone help me with government class? What factor determines the climate in Bolivia's different regions?