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Nataliya [291]
3 years ago
14

In the diagram below, BD AE, BF bisects ZABD, mC = 88° and

Mathematics
1 answer:
kotykmax [81]3 years ago
5 0

Answer:

40

Step-by-step explanation:

180 - 116 = 64

180 - 64 \times 2 = 52

180 - 52 - 88 = 40

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There is no square root of two
7 0
4 years ago
The flower box is 5 ft​ long, and its ends are in the shape of a trapezoid. The upper and lower bases of the trapezoid measure 1
Nady [450]

Answer:

7560 in^3

Step-by-step explanation:

Hello! The first thing that we must take into account to solve this problem is that the volume of any solid is equal to the transverse area by the height, in this case we must find the area of ​​the trapezoid and then multiply it by the height

V=AL

V= Volume

A=area

L=height=9in

finding area of trapezoid

A=H\frac{a+b}{2} \\

To know what each variable corresponds to, please see the attached file

A=(60)\frac{10+18}{2}=840in^2

finally multiply the area by the height of the box(9in)

V=AL

V=(840in^2)(9in)=7560in^3

the volume of the flower box is 7560 in^3

6 0
3 years ago
Emily's piggy bank contains twice as many dimes as nickels. It contains two more quarters than nickels. Emily calculates that if
ANTONII [103]

Answer:

Emily has 10 nickels, 20 dimes and 12 quarters in her piggy bank

Step-by-step explanation:

The number of dimes in Emily's piggy bank = 2 × The number of nickels

The number of quarters in it = 2 + The number of nickels

Whereby;

The number of quarters = The number nickels

The number of dimes = The number of quarters

The number of nickels = The number of dimes

The total amount = Current amount - $150

Let 'x' represent the number of dimes, let 'y' represent the number nickels, and let 'z' represent the number quarters in Emily's piggy bank, we have;

x = 2 × y

z = 2 + y

The total amount in the piggy bank is therefore;

Total = C = x×0.1  + y×0.05 + z×0.25 = 2·y×0.1 + y × 0.05 + (2 + y) × 0.25 = 0.5·y + 0.5

C = 0.5·y + 0.5

With the second condition, we have;

z = y

x = z

y = x

We get

x × 0.1 + y × 0.05 + z × 0.25 = y ×0.1 + y×0.05 + y×0.25 = 0.4·y = C - 1.5

∴ C = 0.4·y + 1.5

Which gives;

0.5·y + 0.5 = 0.4·y + 1.5

0.1·y = 1.5 - 0.5 = 1

y = 1/0.1 = 10

y = 10

Therefore;

x = 2×y = 2 × 10 = 20

z = 2 + y = 2 + 10 = 12

Therefore;

The number number of nickels in her piggy bank, y = 10

The number of dimes in her piggy bank, x = 20

The number of quarters in her piggy bank, z = 12

3 0
3 years ago
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Pablo goes to the grocery store every 2 days, and Wanda goes to the grocery store every 3 days. If they both went to the grocery
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Answer:

6 more days till they both go to the store at the same day

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3 years ago
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