Think About the Process In the​ diagram, m∠1=(117−y)°​, m∠2=25°​, and m∠3=(x+46)°. Write an equation to solve for x and an equation to solve for y. Find the values of x and y.

1

2

3

​(The figure is not shown to​ scale.)

Write an equation to solve for x and an equation to solve for y. Choose the correct answer below.

A.

25+x+46=90 and 117−y=90

B.

x+46=90 and 25+117−y=90

C.

25+x+46=90 and 117−y=180

D.

25+x+46=180 and 117−y=90

Answer:

a=π9² is the formula with the radius plugged in

radius is half

Answer:

243in^2

Step-by-step explanation:

18/2=9

3 x 9 x 9=243

Answer:

9x>63$

Step-by-step explanation:

nine $ aquarium , at most > 63$

Answer:

c

Step-by-step explanation:

because i said so

Answer:

15.9

Step-by-step explanation:

Answer:

2.1 pounds

Step-by-step explanation:

Given that :

Number of baseballs = 7

Weight of each baseball = 0.3 pounds

1 block = 0.1 pounds

Hence, each ball will represent 0.3 / 0.1 = 3 blocks

Hence, 3 blocks = 1 ball

7 balls will be : 3 * 7 = 21 blocks

Recall:

1 block = 0.1

Hence, 0.1 * 21 = 2.1

Therefore, the weight of the 7 balls = 2.1 pounds

Answer:

hi

Step-by-step explanation:

omhg hi

Answer:

1. Three fourths

2. 3/4

3. 0.75

4. 75%

Step-by-step explanation:

i dont know which one you want

Answer:

.75

Step-by-step explanation:

3 over 4 means [tex]\frac{3}{4}[/tex], and a fraction is just a division problem. 3 ÷ 4 = .75

Answer:

254.34 in²

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex]

d = 18 inches, so r = d/2 = 9 inches

Area = 3.14 * 9 * 9

= 254.34 in²

Answer:

76,

Step-by-step explanation:

If you divide 57 by 3, you get 19. If you times 19 by 4 that is the total number of students there were in all.

Answer:

Use this formula

[tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

Answer will be option A

Process:

V= [tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

   = 4/3 *[tex]\pi }[/tex]*[tex]8^{3}[/tex]

   =[tex]\frac{2048\pi }{3}[/tex]

   =2144.66[tex]m^{3}[/tex]

Answer:

6

Step-by-step explanation:

It is given that Cosmo bought a new shirt which have several horizontal strips printed on the shirt that forms horizontal rings when the shirt is buttoned up. When Cosmo rightly button up the shirts, the horizontal strips forms seven closed rings.

One day when Cosmo wrongly wear the shirt and wrongly buttoned up the shirt, the horizontal strips on the shirt did not matched properly.

So as seen from the figure, when Cosmo wrongly button up the shirt, the closed strips forms 6 horizontal rings around Cosmo's waist.

Answer:

3.2 x 10^13

Step-by-step explanation:

(8x10^4)(4x10^8)

reorder the terms using the commutative property

(8x4)x(10^4x10^8)

multiply

32x (10^4 x 10^8)

= 32 x 10^4+8

= 32 x 10^12

now convert to scientific notation

=3.2 x 10^13

Answer:

Product of two integers = - 84

One integer = 4

Other integer = x

[tex]4 \times x = - 84 \\ 4x = - 84 \\ x = \frac{ - 84}{4} \\ x = - 21[/tex]

⎆ The value of the other integer is - 21

Answer:

y=6x+24

Step-by-step explanation:

Answer:

28 hrs

Step-by-step explanation:

in 8 hrs she earns $320,

so in 1 hr she earns $320/8=$40

no. of hrs she takes to earn $1120 is,

=1120/40= 28 hrs

Annie would need to work 28 hours to earn $1,120 at the same rate.

To determine how long Annie would have to work to earn $1,120 at the same rate, we can set up a proportion based on the given information.

Let's define:

x = the number of hours Annie needs to work to earn $1,120.

According to the information given, Annie earns $320 for 8 hours of work. This can be expressed as the rate: $320/8 hours.

We can set up the proportion as follows:

320/8 = 1120/x

To solve this proportion, we can cross-multiply and then solve for x:

320x = 8 * 1120

320x = 8960

Dividing both sides of the equation by 320:

x = 8960/320

x = 28

Therefore, Annie would need to work 28 hours to earn $1,120 at the same rate.

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Answer:

Step-by-step explanation:

Let the age of a man = x

Age of his brother = y

Three yrs hence, a man will be three time his brother age

This is written as:

x + 3 = 3(y + 3)

x + 3 = 3y + 9 .... Equation 1

The sum of present age is 18

= x + y = 18

x = 18 - y

We substitute 18 - y for x in Equation 1

find their present age

18 - y + 3 = 3y + 9

Collect like terms

21 - 9 = 3y + y

12 = 4y

y = 12/4

y = 3 years

x = 18 - y

x = 18 - 3

x = 15 years

Answer:

14.31

Step-by-step explanation:

Answer:

A. 25 cm^3.

Step-by-step explanation:

Volume = 1/3 * area of base * perpendicular height,

= 1/3 * 5^2 * 3

= 5^3

= 25.

The correct option is A. Volume of the pyramid is 25 cm³ which is option A.

What is the volume of the pyramid?

The volume of a pyramid is given by lbh/3. It is also given by the product of the base area and height of the pyramid and then divided by 3.

The base of the pyramid is in the form of a square as all sides are 5 cm. Find the area of the square that is the base area.

5×5=25 cm²

Now multiply 25 by the height of the pyramid which is 3 cm.

25×3=75 cm³

Divide 75 by 3 to find the volume of the pyramid.

75÷3=25 cm³

Thus, the volume of the pyramid is 25 cm³ which is option A.

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Answer:

Each Towel is 4.95 each

Step-by-step explanation:

We can use 8t = 39.60 as our equation

8t = 39.60

Divide 8 on both sides.

t = 4.95

Hope this helps! ^^

Answer:

(Xm, Ym) = [ x1+x2/2, y1 + y2/2]

Given (6,3) (-3,-7)

x1 y1 x2 y2

Step-by-step explanation:

(Xm,Ym) =[ 6-3/2, 3-7/4]

= [ 3/2, -1]

Answer:

Area of the parallelogram is approximately 4,456.2 square feet

Step-by-step explanation:

The lengths of the sides of the parallelogram are 65 feet and 87 feet

The measure of the angle between the sides, Y = 52°

The formula for finding the area of a parallelogram is given as follows;

Area of a parallelogram = A·B·sin(Y)

Where;

'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them

Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;

Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²

Answer:

[tex]f(x) = 18(1.46) {}^{x} \\ initially : x = 0 \\ f(0) = 18 \times {(1.46)}^{0} \\ = 18[/tex]

Answer:

<DCA and <BCF

Step-by-step explanation:

vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex

Answer:

(-1.5, 1.5), '(-1.5, 1) and (0.5, -1)

Step-by-step explanation:

Given the coordinate (x, y) If dilated by a factor k, the resulting coordinate will be (kx, ky).

Similarly given the coordinates of a triangle  (−3, 3), (−3, 2), and (1, −2)

when dilated by a factor of 1/2, the new coordinates will be at;

A (-3, 3) = A'(1/2*-3, 1/2 * 3) = A'(-1.5, 1.5)

B (-3, 2) = B'(1/2*-3, 1/2 * 2) = B'(-1.5, 1)

C (1, -2) = C'(1/2*1, 1/2 * -2) = C'(0.5, -1)

Answer:

d

Step-by-step explanation:

Answer:

Our rate is, 10:125

Let's make it a unit rate!

Divide by 10 on both sides:

1:12.5

Step-by-step explanation:

She makes 12.50 dollars per hour.