Mathematics Middle School



Two lines intersect at a point, forming ​ ∠1 , ∠2 , ∠3 , and​ ​ ∠4 ​ .

∠1 and ∠2 are supplementary angles.

∠2 and​ ​ ∠4 are vertical angles.

m∠1=120°

What is the measure of ​​ ∠4 ​?

30°
60°
90°
120°

Answers

Answer 1
The answer is 30. if 1 is 120 then that means 2 is 60 and vertical angles go to 90 so it would have to be 30 to get to 90. I hope this helped:)

Related Questions

What is the approximate solution of this system of equations?

y = x2 + 3x + 3
y = x2 + x + 2

(-0.5, 0.2)
(-0.5, 1.7)
(-0.1, 1.2)
(0.2, 1.5)

Answers

I believe it's the second one, (-0.5, 1.7)


Comment the correct answer. 

Answer:

(B)

Step-by-step explanation:

The given system of equations are:

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

and [tex]y=x^2+x+2[/tex]                                (2)

Subtracting equation (2) from (1), we get

[tex]0=2x+1[/tex]

⇒[tex]2x=-1[/tex]

⇒[tex]x={\frac{-1}{2}}[/tex]

⇒[tex]x=-0.5[/tex]

Now, substituting the value of x=-0.5 in equation (2), we get

[tex]y=0.25-0.5+2[/tex]

⇒[tex]y=1.7[/tex]

Thus, the values of x and y are -0.5 and 1.7.

Therefore, the approximate solution of the given system of the equation is (-0.5, 1.7).

Hence, option (B) is correct.

Dominic is building a bench with a seat in the shape of a trapezoid. One base is 5 feet. The other base is 4 feet. The perpendicular distance between the bases is 2.5 feet. what is the area of the seat

Answers

By definition, the formula for finding the area of a trapezoid is
 A = [(b1 + b2) x h] / 2
 Where,
 b1: Base 1
 b2: Base 2
 h: height, or distance between bases.
 Substituting we have:
 A = ((5 + 4) * (2.5)) / 2
 A = 11.25 feet ^ 2

 Answer: 
 the area of the seat is:
 A = 11.25 feet ^ 2

The area of Dominic's trapezoid-shaped bench seat is 11.25 square feet. This is calculated using the trapezoid area formula with given bases of 5 and 4 feet and a height of 2.5 feet.

To find the area of the seat of Dominic's bench, which is in the shape of a trapezoid, we use the formula for the area of a trapezoid:

Area = 1/2 × (Base1 + Base2) × Height

In this case:

Base1 (b1) = 5 feetBase2 (b2) = 4 feetHeight (h) = 2.5 feet

Substitute these values into the formula:

Area = 1/2 × (5 + 4) × 2.5

Area = 1/2 × 9 × 2.5

Area = 4.5 × 2.5

Area = 11.25 square feet

Thus, the area of the trapezoid-shaped seat is 11.25 square feet.

the length of a rectangular garden is 4 m greater than the width. the area is 96 m to the second. find the dimensions of the garden.

Answers

the width would be 8 and the length would be 12

estimate the area of a circle with a radius of 27 meters

Answers

2289.06 meters squared
2289.06 meters squared 

how you would write an expression that shows the cost to rent the bicycle for d days.

Answers

C= total cost
d= number of days
r= rental cost

C= r * d
C= rd

Example:
If it cost $10 per day and you rented for 5 days, the total cost would be:
C= ($10)(5)
C= $50

Hope this helps! :)

Johanna wants to rent a car for 5 days, and she's interested in the loss damage waiver but not the collision damage waiver. If the daily rate is $29 and LDW totals $62 for the rental period, what is her total rental cost?

Answers

$29 x 5 days = $145 

$145+ $62= $207
 
Her total rental cost would be $207

Answer:

$207

Step-by-step explanation:

yw

Suppose that you have 4 shirts (red, green, blue, yellow) and 3 pairs of shoes (black, brown, red). If you choose your shirt and shoes randomly, what is the probability that your shirt and shoes will NOT be the same color?

Answers

There are 4*3 = 12 different outfits to pick. Imagine laying out a grid where you can list all of the possible choices for the outfit. Think of it like a multiplication table. It might be a handy way to visually sort everything out.

Of these 12 combos, only 1 has your shirt and shoes matching in color. This is when you pick the red shirt and red shoes. The other 12-1 = 11 outfits will not match.

The probability that you do not pick the same color shirt and shoes is 11/12 (exact fraction form) since there are 11 cases of nonmatching outfits out of 12 total. This is approximately equal to 0.9167 in decimal form which converts to 91.67%

Please help I will reward brainly!! Please , will mark brainly please !

Answers

180-46=134
134/2=67
X=67

Answer:

Answer X = 67

Step-by-step explanation:

so what you do is

180 - 46 = 134

then you devide 134 by 2 which is

134/2 = 67

Answer X = 67

please give me Brainliest  if this was helpful, or a thankyou

How do you do this obe

Answers

A*2 + B*2 = C*2

a*2 + 6 = 16
Subtract 6 from both sides
a= 10
= 3.16

Tim fisher received a 1200 discount loan to purchase a computer the loan was offered at 18% for 180 days find the interest in dollars and the proceeds for the following problem

Answers

The interest is $106.30 and the proceeds is approximately $1093.70

Calculating simple interest.

The simple interest is the amount of interest charges on the amount being borrowed and its paid by the borrower.

The simple interest can be determined by using the formula;
[tex]S. I = \dfrac{p\times r \times t}{100}[/tex]

[tex]S. I = \dfrac{1200\times 18 \times \dfrac{180}{365}}{100}[/tex]

S.I = $106.30

The proceeds for the loan = Loan amount - interest

Proceeds = $1200 - $106.30

Proceeds = $1093.70

An iron bar 468 3/4 inches long is to be cut into 6 1/4 inch sections. How many sections of this length will there be?

Answers

468 3/4 divided by 6 1/4 = 75 sections

If the sides of a cube are 2 meters long, then its volume is A) 8 m B) 8 m2 C) 8 m3 D) 8 m4 Eliminate

Answers

Hello there,

The answer to your question would be:

C. [tex] 8m^{3} [/tex]

Hope this answer helps.
Volume = Length x Width x Height 

So 2 x 2 x 2
4 x 2 = 8 and because it's volume (and you are multiplying 3 numbers) the answer is 8m3 or C

A dripping faucet leaks 12 gallons of water per day. How many gallons does the faucet leak in 6 days?

Answers

72, because 12*6 is 72!

A coin is tossed 20 times. It lands on heads 14 times. What is the relative frecuencue of heads?

Answers

THe relative frequence of heads is 0.7.

Laila said 4 equals -4. Is Laila correct? Use the number line and words to support your answer

Answers

[Due to the fact that your question doesnt have enough context here is my answer]

Laila is wrong due to the fact that its not possible to have 4 = -4 on a number line...
She is incorrect, -4 and 4 are different sides of the number line!

Help from 1-3 show work please!!

Answers

1. N represents the length of each side

2. (n) + (n+1) + (n + 2) 
(Not to sure of this one, xd)

3.
30x-40

Miki, a resident of Kyoto, earns an annual salary of ¥6,760,950. If the Japanese government levies a 29.12% income tax on Miki’s tax bracket, what is her yearly take-home pay, to the nearest whole yen?

Answers

Find 29.12% of 6,760,950. You can do this by converting 29.12% to a decimal by moving the decimal 2 places to the left and getting rid of the percent sign. Do this and you figure out 29.12% is .2912 as a decimal. Now you multiply this decimal with 6,760,950 to find what the government takes for taxes from his annual salary. You get 1,968,788.64. This is not your final answer because you want to find the amount of money he keeps after taxes. So you'd subtract 1,968,788.64 from 6,760,950. This gives you 4,792,161.36. This is his take-home pay, but you have to round to the nearest yen, so your final answer is 4,792,161.

Her yearly take-home pay, to the nearest whole yen is 4792161¥

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, Miki, a resident of Kyoto, earns an annual salary of ¥6,760,950.

Since,

the Japanese government levies a 29.12% income tax on Miki’s tax bracket

Thus,

tax she pays = 6,760,950 *29.12%

tax she pays =  6,760,950 *29.12/100

tax she pays =  1,968,788.64¥

remaining income to take home = total income - tax

remaining income to take home = 6,760,950 - 1,968,788.64

remaining income to take home = 4792161.36¥

Therefore, her yearly take-home pay, to the nearest whole yen is 4792161¥

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    A rectangular prism has a length of 2 1/2 meters, a width of 4 meters, and a height of 2 1/4 meters.
What is the volume of the prism?

Enter your answer in the box as a simplified mixed number or a decimal.

Please Help! Quickly!

Answers

First we need to convert our fractions into decimals, it's just a lot easier to work with.
2 1/2 is equal to 2.5
2 1/4 is equal to 2.25
Then we plug our numbers into the formula used to find the volume of a rectangle:
V=L*W*H
Volume equals Length times Width times Height.
V=2.5*4*2.25
V=22.5
22.5 is already in decimal form, or if you'd rather have a mixed number, your answer is 22 [tex] \frac{1}{2} [/tex]

Volume of rectangular prism is [tex]11\frac{1}{4}[/tex] cm³

Volume based problem;

Given that:

Length of prism = [tex]2\frac{1}{2}[/tex] meter = 5/4 meter

Width of prism = 4 meter

Height of prism = [tex]2\frac{1}{4}[/tex] meter = 9/4 meter

Find:

Volume of rectangular prism = lbh

Volume of rectangular prism = [5/4][4][9/4]

Volume of rectangular prism = 45 / 4

Volume of rectangular prism = [tex]11\frac{1}{4}[/tex] cm³

Find out more information about 'Volume'.

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Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.
Climbing atop the rock, Putri spots the cave. She then turns 58 degrees to the right of her original path and walks to the cave. After exploring the cave, she looks back at the big rock and wonders how to get home.
Assuming Putri is facing the big rock, how many degrees to her left should she turn before walking home?

Answers

The Putri turned 36 degrees to her left should she turn before walking home if Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

The total distance between cave to home AC = 3.72 km

The distance she walks AB = 2.60 km

The angle of turn = 58°

As we can see in the triangle ABC we can apply the sin law:

[tex]\rm \frac{AB}{sinx} = \frac{AC}{sin58\°}[/tex]

[tex]\rm \frac{2.6}{sinx} = \frac{3.72}{sin58\°}[/tex]

sinx = 0.5927

x = 36.35 ≈ 36°

Thus, the Putri turned 36 degrees to her left should she turn before walking home if Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.

Learn more about the triangle here:

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Putri should turn 122 degrees to her left when facing the big rock to head back to her home. This direction aligns her with the original path she took to reach the cave.

To determine the number of degrees to her left Putri should turn, we need to analyze her movements using the angles involved.

Putri starts by walking 2.60 kilometers in a straight line.She spots the cave after climbing the rock and turns 58 degrees to the right of her original path.This new path takes her directly to the cave, which is a straight-line distance of 3.72 kilometers from her home.

When Putri is in the cave facing the large rock, to get back to her home, she needs to turn in the opposite direction of her initial right turn:

Initially, she turned 58 degrees to the right.Facing the rock, she must turn 180 degrees - 58 degrees = 122 degrees to her left to be aligned with her starting path towards home.

Putri should turn 122 degrees to her left when facing the big rock to head back to her home.

Which of the following had a graph that is wider than the graph of y=3x^2+2?

A. Y=3x^2+3
B. Y=0.5x^2+1
C. Y=-4x^2-1
D. Y=4x^2+1

Answers

the answer is b y=0.5x^2+1

Answer:

Out of the options given prior to the question, the graph that is wider than the graph y = 3x^2 + 2 would be B) y = 0.5x^2 + 1. Hope we helped! :D

If 16-7w=w+14-6w16−7w=w+14−6w16, minus, 7, w, equals, w, plus, 14, minus, 6, w, what is the value of w-1w−1w, minus, 1?

Answers

-2.1 Is the answr
Hope dis helps

Answer:

Value of w = 1

w - 1 = 1 - 1 = 0

Explanation:

We have 16 - 7w = w + 14 - 6w

Firstly,  we will find the value of w.

In order to find the value of w, we will solve the linear equation for w.

Now combine like terms

16 - 14 = w - 6w + 7w

2 = 2w

2w = 2

w = [tex] \frac{2}{2}  [/tex]

w = 1

Now we will find the value of w - 1

Plug the value of w = 1 into w - 1

1 - 1

= 0

So, final answer is 0

I hope it will help you.

3. Janet is flying a kite on a string that is 75m long. The kite is 62m above the ground. Estimate the distance between Janet and the spot on the ground directly beneath the kite.
(a) Draw a diagram showing Janet and the kite.
(b) What is the length of the string of the kite?
Answer:

Answers

Hey there! :D

For this, you will need to draw your own diagram, but I think you can do this if I explain it. It should look like a triangle. Where the string is a vertex, and the kite is an upper vertex. The bottom is the distance. Look at the example. You can label the distances on it if you want to. 

c= length of the string (75m)

b= height of the kite (62m)

a will equal the distance between Janet and the spot on the ground beneath the kite. 

Now, we plug it into the Pythagorean theorem.

a^2+b^2= c^2

a^2+ 62^2= 75^2

Square the numbers.

a^2+3844= 5625

Subtract 3844 on both sides. 

a^2= 1781

Find the square root. 

√1781= 42.2 or 42. 

I hope this helps!
~kaikers

*Credit for picture to Google Images* 

What is the value of x in simplest radical form ?

Answers

Solve for X (hypotenuse)

Hypotenuse = [tex] \sqrt{a^{2}+b^{2}} [/tex]

Substitute 20 for A and 21 for B
[tex] \sqrt{20^{2}+21^{2}} [/tex]

Solve exponents
20^2 = 400
21^2 = 441
Hypotenuse = [tex] \sqrt{400 + 441} [/tex]

Add
400 + 441 = 841
Hypotenuse = [tex] \sqrt{841} [/tex]

Solve square root
[tex] \sqrt{841}[/tex] = 29
Hypotenuse = 29

the ratio of red circles to blue circles is 1:3 How many more red circles would need to be added to make the ratio of red to blue 3:1?

Answers

8 more red circles will be needed
The answer is 8 because since there are 3 blue circles, you would need to have 3 times as many red circles as there are blue. Therefore, you would need to balance the ratio from 3:1 to 9:3. These are equal, just simplified. So 8 would be your answer. 

What is 5(x+10)+x simplified

Answers

5x + 50 +x
= 5x*2( square ) + 50
Question: 5(x+10)+x
1st step - multiply 5 with everything in the parenthesis.
after multiplying everything in the parenthesis with 5 the answer will be - 5x+50+x.
2nd step - add like terms.  
3rd - the answer will be 6x+50. 
Hope it helps :)

Luis skates 2/3 mile from his home to school. Isabella skates 2/4 mile to get to school. Who skates father?

Answers

In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.

The least common denominator of 3 and 4 is 12.  This means that we have to change both fractions into equal fractions with denominators of 12.

To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions.  We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8

Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.

If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.

Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school.  Because they have the same denominator, we can just compare the numerators.  We know that 8 is greater than 6, thus Luis skates farther to get to school.

Final answer:

Luis skates further to school than Isabella, as 2/3 mile is greater than Isabella's distance of 1/2 mile after simplification.

Explanation:

The question revolves around figuring out who skates further to school, Luis or Isabella. Luis skates 2/3 mile from his home to school whereas Isabella skates 2/4 mile (which can be simplified to 1/2 mile) to get to school. To determine who skates further, we look at the fraction representing the distance each person skates.

Luis's distance is 2/3 mile, and Isabella's distance, after simplification, is 1/2 mile. Since 2/3 is greater than 1/2, Luis skates further to get to school than Isabella.

Plot the following points on number line without measuring

Answers

need more info to answer your question

To plot points on a number line without measuring, it needs to follow various points mentioned below.

What is a number line?

A number line is a visual representation of the real number system, where every point on the line corresponds to a unique real number.

Here,
To plot points on a number line without measuring, you can follow these steps:

Draw a number line with the lowest and highest values of the range you want to plot.Divide the number line into equal segments. The number of segments will depend on the range of the numbers and the precision required for the plot. For example, if you want to plot the numbers from 0 to 10 with a precision of 1 unit, you can divide the number line into 11 equal segments.Label each segment with the corresponding value of the number line. For example, if you divide the number line from 0 to 10 into 11 equal segments, label each segment with the numbers from 0 to 10 in increments of 1 unit.Locate the point you want to plot on the number line. For example, if you want to plot point 4, locate the segment labeled "4".Mark the point on the number line by drawing a small dot or an "X" at the corresponding location.

Repeat steps 4 and 5 for all the points you want to plot on the number line.

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How do u find the mean? I've never done this before the subject is try check and revise

Answers

Example you got

2,4,3,6,5

To find the mean you have to add those numbers

2+4+3+6+5 = 20

So you have to divide 5 by 20 because there are 5 number
20 divide 5 = 4

Mean equal 4

Answer,

The mean is the average of the numbers.  It's quite simple to find the mean. All you do is, add all the numbers togter & divide by how many numbers there are. In simpler words, it is the sum divided by the count.


For example,

The mean of the numbers is, 50

Explanation,

20 + 30 + 40 + 50 + 60 + 70 + 80 = 380

Then we divide 350 by how many numbers there are, 7. Then we get 50.



Hope this helps :-)




This week Luis made 80% of what he made last week. If he made $72 this week, how much did he make last week

Answers

$57.60 is the answer to the question
The answer would be $90

How does the graph of g(x)=⌈x⌉+0.5 differ from the graph of f(x)=⌈x⌉?

A. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted up 0.5 unit.

B. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted left 0.5 unit.

C. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted down 0.5 unit.

D. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted right 0.5 unit.

Answers

In general, a positive constant moves a function upwards and a negative value moves it downwards. Thus, g(x)=⌈x⌉+0.5 is 0.5 units above f(x)=⌈x⌉, as shown in attached picture.

To shift a function left, you add units to the independent variable.To shift it right, you subtract a constant from "x".
Example:
h(x)=⌈x+1⌉ is 1 unit left to f(x).

Answer: Here is your answer!! :)

Step-by-step explanation:

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