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Zarrin [17]
3 years ago
11

Set up a proportion to solve for x in the following similar triangles,

Mathematics
1 answer:
fredd [130]3 years ago
6 0

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

\frac{15}{x-4} = \frac{12}{8} ( cross- multiply )

12(x - 4) = 120 ( divide both sides by 12 )

x - 4 = 10 ( add 4 to both sides )

x = 14

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Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
dalvyx [7]

Answer:

The measure of the side QR is 8.8.

Step-by-step explanation:

Since LMNO \sim PQRS, then SP \propto OL, RS \propto ON, RQ \propto MN and QP \propto LM. From figure we have the following relationship:

k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP} (1)

Where k is the proportionality ratio.

If we know that SP = 13, OL = 55, MN = 37, then the measure of side QR is:

k = \frac{OL}{SP} (1b)

k = \frac{55}{13}

k = \frac{MN}{QR}

QR = \frac{MN}{k} (1c)

QR = \frac{37}{\frac{55}{13} }

QR = 8.745

The measure of the side QR is 8.8.

4 0
3 years ago
Find the range, median, first and third quartiles, and interquartile range for each data set OF THE NUMBERS 52 72 96 21 58 40 75
Andrej [43]

Answer:

Range: 75 Median: 58 1Q: 40 3Q: 75 Interquartile: 35

4 0
3 years ago
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Pachacha [2.7K]

Answer: A, scale factor is 3

Step-by-step explanation:

5 0
3 years ago
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neonofarm [45]

Answer:

b) 10 years

Step-by-step explanation:

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3 years ago
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2. If GFE~GJH, find the value of FG.<br> ​
Alex73 [517]

Answer:

  • 77 units

Step-by-step explanation:

Given two similar triangles.

Corresponding parts of similar figures have same ratio.

<u>Use ratios to find the value of x:</u>

  • (4x - 5)/(x + 7) = 35/12.5
  • (4x - 5)/(x + 7) = 14/5
  • 5(4x - 5) = 14(x + 7)
  • 20x - 25 = 14x + 98
  • 20x - 14x = 98 + 25
  • 6x = 123
  • x = 123/6
  • x = 20.5

<u>Find the value of FG:</u>

  • FG = 4*20.5 - 5 = 77

5 0
3 years ago
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