3 years ago

Someone help me on this question.

Mathematics

1 answer:

AfilCa [17]3 years ago

4 0

Answer:

green box: 13

Step-by-step explanation:

The altitude from the right-angle vertex divides a right triangle into similar triangles. Corresponding sides of similar triangles are in proportion, so you have ...

... short side / long side = 4/y = y/9

Multiplying by 9y gives ...

... 36 = y²

... 6 = y . . . . taking the square root

___

z is the hypotenuse of the right triangle with sides 6 and 9. So the value of z will be ...

... z² = 6² +9² . . . . . . Pythagorean theorem

... z = √(36 +81) = √(9·(4 + 9)) = 3√13

You might be interested in

Factor the expression using the GFC 70+95=

DiKsa [7]

Answer:

165

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If a translation maps ∠D onto ∠B, which of the following statements is true?

Svetradugi [14.3K]

Answer:

Since ΔACB is similar to ΔECD we can say that ∠E ≅ ∠A.

5 0

3 years ago

Read 2 more answers

Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find

olga55 [171]

Answer:

$14\text{ and }16$

Step-by-step explanation:

Let the smaller number be $x$ . Since they are consecutive even numbers, the larger number can be represented by $x+2$ .

Therefore, we have the following equation:

$8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}$

Thus, the larger number is $x+2=\boxed{16}$

6 0

3 years ago

X-9=o what is it guys

creativ13 [48]

Add 9 to both sides

x-9=0

x-9+9 = 0+9

x = 9

3 0

3 years ago

At a hockey game, a vender sold a combined total of 204 sodas and hot dogs. The number of sodas sold was three times the number

Zielflug [23.3K]

Answer:

Step-by-step explanation:

Given that at a hockey game, a vender sold a combined total of 204 sodas and hot dogs.

The number of sodas sold was three times the number of hot dogs sold.

Let no of hot dogs be sold be x then no of sodas sold will be 3x

Total number of sodas and hot dogs $= x+3x=204\\x=51\\3x=153$

the number of sodas =153

and the number of hot dogs sold=51

6 0

4 years ago