3 years ago

What is the length of DE?

Mathematics

2 answers:

Andrew [12]3 years ago

7 0

Answer:

The length of DE is 5 because they are similar triangle .

Drupady [299]3 years ago

4 0

<h3>Answer: B. 6</h3>

Explanation:

The triangles are similar. We can use the SAS similarity theorem to prove that claim.

Because the triangles are similar, the corresponding sides form a proportion like shown below

12/8 = 9/x

12x = 8*9 ... cross multiply

12x = 72

x = 72/12

x = 6 which is why the answer is choice B

You might be interested in

Where do you prefer to get

pochemuha

Answer:

i do not understand please explain further

5 0

3 years ago

Read 2 more answers

What is the volume of a rectangular prism with a length of 7 centimeters, a width of 3 centimeters, and a height of 2 centimeter

fiasKO [112]

Answer:

42cm³

Step-by-step explanation:

7*2*3=42

7*2=14

14*3=42

5 0

3 years ago

$120 is shared among 3 friends Ava, Ben, and Carlos. If Ava receives $20 less than

kenny6666 [7]

Answer:$20

Step-by-step explanation:

If Carlos had $20

Ben would have $60

And Ava would have $40

8 0

3 years ago

Please help!! Double points! write the ratios for sin X and cos X (Image attached)

Orlov [11]

Answer:

The ratio for sin(X) is $\frac{\sqrt{119} }{12}$

The ratio for cos(X) is $\frac{5}{12}$

Step-by-step explanation:

- The ratio of the sine of a right triangle is:

$sin(\alpha)=\frac{opposite-side}{hypotenuse}$

Since we need the ratio for angle X, $\alpha =X$ . From the picture we can infer that the opposite side of X is $\sqrt{119}$ . The hypotenuse (the side opposite to the right angle) is 12, so replacing the values:

$sin(X)=\frac{\sqrt{119} }{12}$

- The ratio of the cosine is:

$cos(\alpha)=\frac{adjacent-side}{hypotenuse}$

Similarly, $\alpha =X$ , adjacent side = 5, and hypotenuse = 12, so

$cos(X)=\frac{5}{12}$

6 0

4 years ago

Read 2 more answers

What is the GCF of 88 and 36

ra1l [238]

The GCF of 88 and 36 is 4 because 22 × 4 = 88 and 9 × 4 = 36.

5 0

4 years ago