Mathematics, 26.04.2020 13:11 bthakkar25

What is the value of x?

Answers: 1

Show answers

Answers

Answer from: rose5986

H. x = 8

Step-by-step explanation:

Let's label the vertices of the large triangle A, B, and C, and the point splitting the hypotenuse of the large triangle into the lengths x and 10 D (I've uploaded a marked up version of the problem to illustrate this step). The large triangle ABC and the small triangle ADC are similar, since they contain all three of the same angles. This means that the ratios between their corresponding sides are equal to each other. Side AB measures x + 10 and corresponds to side AC, which measures x + 4, so the ratio between their sides is $\frac{x+10}{x+4}$ . Similarly, side AC (measuring x + 4) corresponds to the side AD (measuring x) for a ratio of $\frac{x+4}{x}$ . Equating the two, we have

$\dfrac{x+10}{x+4}=\dfrac{x+4}{x}$

Cross multiplying, expanding and collecting like terms:

$(x+10)\cdot x=(x+4)^2\\x^2+10x=x^2+8x+16\\10x=8x+16\\2x=16\\x=8$

So our answer must be H. x = 8.

Answer from: Quest

ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga

step-by-step explanation:

Answer from: Quest

b) well because you get well

Another question on Mathematics

Mathematics, 21.06.2019 18:00

Does anyone know how to do geometryme with this problem

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Consider the following equation. 1/2x^3+x-7=-3sqrtx-1 approximate the solution to the equation using three iterations of successive approximation. use the graph below as a starting point. a. b. c. d.

Answers: 3

Answer

Mathematics, 21.06.2019 22:30

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.

Answers: 3

Answer

Mathematics, 22.06.2019 00:30

If m_b=mzd= 43, find mzc so that quadrilateral abcd is a parallelogram o 86 137 o 129 43 description