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3 years ago

What is X? in decimal form plz

Mathematics

1 answer:

Anika [276]3 years ago

7 0

X should theoretically = 8.8 if you do the Pythagorean theorem.
6^2 + 4.2^2 = x^2
x = 7.3
Then go to the next triangle to find the missing length:
7.3^2 + 5^2 = x^
x = 8.8

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Answer/Step-by-step explanation:

Recall: if two figures are similar, we know that the ratio of their areas = the square of the ratio of their corresponding sides

Apply this knowledge to solve the problems given.

✔️Problem 1 (4-sided polygon):

Let the missing area be x cm²

Therefore,

$\frac{x}{9} = \frac{8^2}{4^2}$

$\frac{x}{9} = \frac{64}{16}$

$\frac{x}{9} = 4$

Multiply both sides by 9

x = 9*4

x = 36 cm²

✔️Problem 2 (3-sided polygon):

Let the missing area be y cm²

Therefore,

$\frac{y}{240} = \frac{8^2}{32^2}$

$\frac{y}{240} = \frac{64}{1,024}$

$\frac{y}{240} = \frac{1}{16}$

Multiply both sides by 240

y = ¹/16 × 240

y = 15 cm²

✔️Problem 3 (5-sided polygon):

Let the missing area be z cm²

Therefore,

$\frac{z}{40} = \frac{3^2}{2^2}$

$\frac{z}{40} = \frac{9}{4}$

Multiply both sides by 40

$z = \frac{9}{4} * 40$

$z = \frac{9}{1} * 10$

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3 years ago