All categories

3 years ago

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

You might be interested in

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

Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee

Pachacha [2.7K]

Answer: A, scale factor is 3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

I WILL MARK BRAINLEST PLS

neonofarm [45]

Answer:

b) 10 years

Step-by-step explanation:

8,000 x .04 = 800 x 10 = 8000

Hope that helps!

6 0

3 years ago

Read 2 more answers

2. If GFE~GJH, find the value of FG.

Alex73 [517]

Answer:

77 units

Step-by-step explanation:

Given two similar triangles.

Corresponding parts of similar figures have same ratio.

Use ratios to find the value of x:

(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

Find the value of FG:

FG = 4*20.5 - 5 = 77

5 0

3 years ago