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Feliz [49]
4 years ago
9

Justify your answer

Mathematics
1 answer:
BaLLatris [955]4 years ago
7 0

Answer:

8cm

Step-by-step explanation:

x is similar to the side 12cm.

We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.

Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.

Find the scale factor:

Triangle 1/Triangle 2

Divide two similar sides.

6/9 = 2/3

Multiply the scale factor by the similar side to find x.

x = 12*(2/3)

x = 8

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Use the equation k = x÷ y to find the constant of proportionality for the set of values
Lubov Fominskaja [6]

The constant of proportionality is 1/3

and three more values are

x       1        2        3        4        5        

y       3       6        9        12       15

<h3>Variation</h3>

From the question, we are to determine the constant of proportionality

The given equation is

k = x ÷ y

From the given information,

When x = 1, y = 3

∴ k = 1 ÷ 3

k = 1/3

Thus, the constant of proportionality is 1/3

Now, we will determine the values of y for the values x = 3, x = 4, and x = 5

Since

k = x ÷ y

Then,

y = x ÷ k

When x = 3

y = 3 ÷ 1/3

y = 3 × 3

y = 9

When x = 4

y = 4 ÷ 1/3

y = 4 × 3

y = 12

When x = 5

y = 5 ÷ 1/3

y = 5 × 3

y = 15

Hence, the constant of proportionality is 1/3

and three more values are

x       1        2        3        4        5        

y       3       6        9        12        15

Learn more on Variation here: brainly.com/question/19641181

#SPJ1

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