Question

I need help with 9 please it says find the value of x round each answer to the nearest tenth

Answer 1

x=18.7

Step-by-step explanation

Step 1

find the length y ( base of the triangle)

we can set an equation

`\begin{gathered} y+26+y=40 \\ \text{add like terms} \\ 26+2y=40 \\ \text{subtrac 26 in both sides} \\ 26+2y-26=40-26 \\ 2y=14 \\ \text{divide both sides by 2} \\ (2y)/(2)=(14)/(2) \\ y=7 \end{gathered}`

so, we have this triangle

Step 2

solve for x, to find x we can apply the Pythagorean theorem it states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

so

`\begin{gathered} x^2+7^2=20^2 \\ x^2+49=400 \\ \text{subtract 49 in both sides} \\ x^2+49-49=400-49 \\ x^2=351 \\ \text{square root in both sides} \\ √(x^2)=√(351) \\ x=18.7349 \\ \text{rounded} \\ x=18.7 \end{gathered}`

therefore, the answer is

x=18.7