If ABCD ~ EHFG what do you know about the corresponding sides? Be specific.

Please help me. (20 points)

alexandr402 [8]

Hello from MrBillDoesMath!

Answer:

75

Discussion:

A plane triangle has 180 degrees. Using this in the diagram gives

x + 81 + angle BAC = 180 (***)

(The diagram is a bit fuzzy but I think the above numbers are accurate)

The diagram also shows that (156 + angle BAC )= 180 as a straight line has 180 degrees. So

angle BAC = 180 - 156 = 24

Substituting this in (***) above gives

x + 81 + 24 = 180 =>

x + 105 = 180 => (as 81 + 24 = 105)

x = 180 107 = 75

Check: Does

x + 81 + angle BAC = 180 ?

75 + 81 + 24 = 180. Yes

Thank you,

MrB

7 0

3 years ago

This year, Arvin and Mariah were in charge of making orange juice for campers. They planned to make the juice by mixing water an

zavuch27 [327]

Answer:

Mix A is the most orangey, Mix C is the least orangey

Step-by-step explanation:

Mix A largest proportion of concentrate to water

Mix C is the smallest proportion of concentrate to water

8 0

3 years ago

A rectangular swimming pool is 25 ft long and 20 1/2 ft wide, and it must be filled to a depth of 4 1/2 ft. One cubic foot of wa

bazaltina [42]

ANSWER

307½ gallons of water

EXPLANATION

The volume of the rectangular swimming pool is

$V = l \times w \times h$

where l=25ft and w=20½ ft.

when it is filled to a depth of 4½ ft ,then the height is , h=4½ ft.

We substitute these values into the formula to get:

$V = 25\times 20.5\times 4.5$

$V = 2306.25 {ft}^{3}$

If one cubic foot of water is 7½ gallons, then 2306.25 cubic feet will be

$\frac{2306.25}{7.5} = 307.5gallons$

We need 307.5 gallons of water to fill the pool.

4 0

3 years ago

In the cafeteria, 70 milk cartons were put out for breakfast. After breakfast, there were 60 milk cartons

aev [14]

Answer:

1. The ratio of milk cartons taken to total milk cartons,

70 - 10 = 60 were taken

73/100 is the ratio of milk cartons taken to total milk cartons

2. The ratio of milk cartons remaining to milk cartons taken

10 / 60 is the ratio of milk cartons remaining to milk cartons take

4 0

3 years ago

Read 2 more answers

Find the area of the shaded region in the figure below, if the radius of the outer circle is 4 and the radius of the inner circl

denis-greek [22]

TheThe area of the shaded region if the radius of the outer circle is 4 and the radius of the inner circle is 2 is 12π.

<h3>Area of the shaded region</h3>

Area of a circle = πr²

r =radius of the circle

Area of the outer circle:

Area of the outer circle = π(4)²

Area of the outer circle = 16π

Area of the inner circle:

Area of the inner circle = π (2)²

Area of the inner circle = 4 π

Area of the shaded Region :

Area of the shaded Region = 16π - 4 π

Area of the shaded Region = 12π

Therefore the area of the shaded region if the radius of the outer circle is 4 and the radius of the inner circle is 2 is 12π.

Learn more about area of the shaded region here: brainly.com/question/19577281

#SPJ1

5 0

1 year ago