What is the proportion for x

For the top part, both equations are vertical angles, so both equations will equal the same angle.

(4 + 23x) = (24x)

4 + 23x = 24x

4 = 24x - 23x

4 = x

Plug in x = 4 into both equations.

4 + 23(4) = 24(4)

4 + 92 = 96

96 = 96

Since x = 4 is a solution for both equations, the angle that is equal to both is 96 degrees.  

--------------------------------------------------------------------------------------------------------------

For the bottom part, both equations lie on the same straight line, so adding both equations together will equal 180 degrees.

(x + 120) + (x + 80) = 180

x + 120 + x + 80 = 180

2x + 200 = 180

2x = 180 - 200

2x = -20 (don't worry about having a negative solution)

x = -10

Plug in x = -10 into both equations.

(-10) + 120 + (-10) + 80 = 180

110 + 70 = 180

180 = 180

Since x = -10 is a solution for both equations, the angle for equation (x + 120) is 110 degrees and angle for equation (x + 80) is 70 degrees.

Answer:

23

Step-by-step explanation:

if you break this shape into 2 shapes it will be easier to solve

Answer:

Defining variable: x = per week

Equation: 37 + 6.5x = 9 + 8.25x

Answer: 16 weeks

Step-by-step explanation:

x = per week

Jack:

37 + 6.5x

Diane:

9 + 8.25x

Equation:

37 + 6.5x = 9 + 8.25x

-1.75x = -28

x = 16

Answer:

answer is 0.697 !

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

Given that the candy store that is due south of her school and due west of her favorite skate park, the distance between the the school and the skate park when considered with the distance between the candy store and her school and that between the candy store and her favorite skate park gives us a right angled triangle.

The distance between the school and the skate park is the longest side (hypotenuse of the triangle so formed). As such, using Pythagoras theorem

10^2 = 8^2 + x^2 where x is the distance between the Candy store and the skate park

100 = 64 + x^2

100 - 64 = x^2

36 = x^2

6^2 = x^2

x = 6

The distance between the  candy store and the skate park is 6 miles

Answer:

13^2 is 169

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

13^2 is 13x13= 169

Hope this helps :)

(PS I included an explanation on exponents)

when you have an exponent you multiply the base number by itself as many times as the exponent says.

Example: 13^5

13 x 13 x 13 x 13 x 13= 371,293

Answer:

J

Step-by-step explanation:

Answer:

the answer is --1, 0 and 6, -1

Step-by-step explanation:

your welcome :) have a good day!

Answer:

B and D

Step-by-step explanation:

I took the test edg 2022 ur welcome

Looking at the letter arrangement in the problem B is similar to W

Set those equal to each other and solve.

X + 24 = 2x -2

Subtract x from both sides:

24 = x -2

Add 2 to both sides:

X = 26

Now replace x in the equation for B

2x -2 = 2(26)-2 = 52-2 = 50

B = 50 degrees

The 3rd choice is the answer.

Answer:

BBC News is a British free-to-air television news channel ;)

Step-by-step explanation:

It was launched as BBC News 24 on 9 November 1997 at 5:30 pm as part of the BBC's foray into digital domestic television channels, becoming the first competitor to Sky News, which had been running since 1989.

Step-by-step explanation:

[tex]2(6)( - 2) = \\ = 2( - 12) = \\ = - 24[/tex]

Answer: 488cm^2

Step-by-step explanation:

The area of the triangle is 12*19/2= 114cm

The area of the rectangle is 17*22=374

114+374= 488cm^2 is the area

Answer:

n+5×4-7

Step-by-step explanation:

We can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.

For finding volume of the considered figure, we somehow needs measurement of its correct dimensions by which we would be able to recreate the figure. By any means, if we could get enough measurement, then we'd be able to characterize the figure, and thus, get its volume.

Case 1. Could you use an inscribed prism to derive the volume of a hemisphere? Why or why not? Are there any other ways you could approximate a hemisphere, and what problems would you encounter in finding its volume?

Yes, if the prism fits perfectly, and we know about the prism, then it would tell us about the radius of the hemisphere. For example, we can fit a cubic prism inside it, and diagonal of that cube's base will give diameter of that hemisphere.

Case 2.Could you use a circumscribed regular n-gon as the base of a pyramid to derive the formula for the volume of a cone?

Yes, because the the base of the pyramid can give the details about radius of the cone's base, and due to the n-gon being regular and circumscribed, the height of the cone would be same as that of the height of that n-gon.

Thus, we can always get the volume of the figure whenever we get enough data to recreate that considered figure, because it provides us with necessary measurements needed for finding the volume.

Learn more about volume here:

https://brainly.com/question/2952465

Answer:

The slope is -1/2 and the y intercept is 1

Step-by-step explanation:

Answer:

36.4

Step-by-step explanation:

56x.35=19.6

56-19.6=36.4

Answer:

$204.98

Step-by-step explanation:

407(1+0.06)^7

611.98

611.98-407

204.98

So it made $204.98

Hope this helps

Answer:

4. 28 sq. inch

Step-by-step explanation:

First, Area of the square = l² = 2² = 4

Area of the triangle = 1/2 x b x h

= 1/2 x 2 x 6

= 6

Total surface area = Area of square + 4 x area of triangle

= 4 + 4 x 6

= 28

Answer:

144

Step-by-step explanation:

the height is sqrt(65^2-25^2) = 60

the length of the unknow side of the largest triangle is sqrt((25+x)^2-65^2)

or also sqrt(x^2+60^2)

set them to equal

sqrt((25+x)^2-65^2) = sqrt(x^2+60^2)

==> x = 144

Answer:

The answer would be x=144

☁️ Answer ☁️

a. y = 4

b. n = 16

Hope it helps.

Have a nice day noona/hyung ￣▽￣

Answer:

y=4, n=16

Step-by-step explanation:

4y+3=19

4y=19-3

4y=16

y=16/4

y=4

1/2n-3=5

1/2n=5+3

1/2n=8

n=8÷1/2

n=8/1×2/1

n=16

Answer:

w= -3, therefore the value of 9w-10= -37

Step-by-step explanation:

i hope this helps :)

Answer:

x is equal to 12 mm

Answer:

=> membership fee = $50

=> monthly fee = $55

=> First month = 105$

=> 50 + 55(x)

=> 50 + 55 (15)

=> 50 + 825

=> 875

Workout gym

=> membership fee = $200

=> monthly fee = $45

=> First month = 245$

=> 200 + 45(x)

=> 200 + 45(15)

=> 200 + 675

=> 875

Answer:

Step-by-step explanation:

The common denominator of these 2 fractions is 10.

Turn the mixed number 3 4/5 into an improper fraction which would be

19/5.

Then multiply the numerator and denominator with 2 to get the denominator to be 10.

19/5 x 2 = 38/10

Now turn 2 1/10 into an improper fraction= 21/10

Now subtract...

38/10 - 21/10 = 17/10

So Timberly spent 17/10  or  1 7/10 more hours then Misty at the gymnastics practice

Answer:

The minimum force required would be 50-N!

Answer:

Step-by-step explanation:

Given system

Variables in this system are x and y.

Isolating a variable means rearranging the equation so that a variable of our interest is on its own in one side of the equal sign.

We see variable x is isolated in the first equation.

In the second equation both of the variables are on the same side so they are not isolated.

Answer:

x

Step-by-step explanation:

The x variable is isolated here as it's solo on left side

Solve the equations

Equate

x=10-1=9