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Nookie1986 [14]

2 years ago

9

triangle LMN is similar to triangle FGH and LN/FH= 7/4. What is the ratio of the area of triangle LMN to the area of triangle FG

H?

1 answer:

jeyben [28]2 years ago

6 0

Answer:

7

Step-by-step explanation:

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3 years ago

Complete the equation that represents the total value of the nickels and p pennies

vovikov84 [41]

Answer:

<em>Answers below</em>

Step-by-step explanation:

<u>Equation</u>

Let's call:

p = number of pennies Janesa has in her pocket

n = number of nickels Janesa has in her pocket

She has 24 coins in total, thus:

$p + n=24\qquad\qquad [1]$

Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:

$0.01p+0.05n=1$

Multiplying by 100:

$p+5n=100\qquad\qquad [2]$

A. Completing the equation:

$5n+p=100$

B.

From [1]:

$p=24-n$

Substituting into [2]:

$24-n+5n=100$

Simplifying:

$24+4n=100$

Rearranging:

$4n=100-24=76$

$n=76 / 4= 19$

$p=24-19=5$

B. There are 5 pennies in Janesa's pocket

C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05

The total value of the pennies is $0.05

D. The total value of the nickels is 19*$0.05 = $0.95

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Answer:

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Step-by-step explanation:

To find the surface area of a 3d figure, we can imagine all of its faces laid down on a flat plane. In this case, we would have a square, and four congruent triangles. Now all we have to do is find the areas of each shape and add them up.

4 is the base of the pyramid, so it's also the square's side length. Since a square has four equal sides, our square's length and width are both 4.

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