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2 years ago

For each question, each pair of triangles are similar but not drawn to scale. Calculate any lettered lengths.

Mathematics

1 answer:

Karolina [17]2 years ago

8 0

Answer:

a. 20

b. 5

Step-by-step explanation:

The scale factor is 5 because 6×5=30

a. 4×5=20

b. 25÷5=5

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bija089 [108]

We can set up a proportion.

32/128 = x/100

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Now we have 128x = 3200.

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3 years ago

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3 years ago

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What does x equal to? “?” = x Solve by using fractions and round to the nearest hundredth if necessary

Anna007 [38]

Answer:

3.5 inches

Step-by-step explanation:

We can rotate the figure to the left 90 degrees clockwise so that it becomes same orientation as the figure to the right.

Since they are similar figures, their corresponding sides are proportional.

The 4 inch side of left figure corresponds to 16 in side of right side figure.

The "?" inch side of left figure corresponds to 14 in side of right side figure.

We can replace "?" with "x" and setup two ratios and equate them:

$\frac{4}{16}=\frac{x}{14}$

Now, we can cross multiply and solve for x:

$\frac{4}{16}=\frac{x}{14}\\16x=4*14\\16x=56\\x=\frac{56}{16}\\x=3.5$

Hence,

the unknown side marked "?" is equal to 3.5 inches

6 0

2 years ago