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Aloiza [94]
3 years ago
12

The following two right triangles are similar.If side PQ = 42, side LM = 28, and side QR = 24, what is the length of side MN?

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

Answer:

a. 16

Step-by-step explanation:

Find the scale:

42 ÷ 28 = 1.5

Use this scale for QR to find MN:

24 ÷ 1.5 = 16

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The ratio of the number of boys to the number of girls in a dance club is 5 : 6. After 6 more boys join the club, the ratio beca
UkoKoshka [18]

44

Step-by-step explanation:

let boys be x and girls be y

x/y=5/6

x=5y/6....(1)

if 6 boys join the club that will be x+6

Therefore:

(x+6)/y=13/12

13y=12x+72

13y-12x=72

Recall x=5y/6

Therefore:

13y-12(5y/6)=72

13y-(2*5y)=72

13y-10y=72

3y=72

y=24 people

Therefore:

x=(5*24)/6

x=20 people

Therefore people in the club before are 20+24=44

5 0
3 years ago
Red and grey bricks were used to build a decorative wall. The number of red bricks and grey bricks was 5/2. There were 140 brick
ozzi

Answer:

100 red bricks

Step-by-step explanation:

Let's say red bricks is equal to 5x

Gray bricks is equal to 2x

We have an equation

2x + 5x = 140

= 7x = 140

Divide through by 7 to get the value of x

X = 140/7

X = 20

Red bricks = 5(x)

= 5(20)

= 100

Gray bricks = 2(x)

= 2(20)

= 40

Therefore in conclusion the number of red bricks is 100.

5 0
3 years ago
Ariane borrows $400 on a 4-year loan. She is charged 5% simple interest per year. How much interest is she charged for 4 years?
Marina86 [1]
20% witch is also 80 bucks
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4 years ago
What is the range of this function: y = x2 −5
Firdavs [7]
I think it might be the last one. Hope it helps:)
7 0
4 years ago
Five sixths yards = inches
Nutka1998 [239]

Answer:

Five sixths of a yard is 30 inches

Step-by-step explanation:

3 0
3 years ago
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