Question

fill in the missing information. solve for x, and justify each step. 13. m∠qwt + m∠twx = 90 2x+(x + 6)=? ?+6 = 90 ?=? x=? 14. kl = 3(pm) 5x = 3? 5x =? ?= - 12 x=? lesson 2-4 practice

Explanation:

Step1: Combine like - terms in the first equation

$2x+(x + 6)=3x + 6$. Since $m\angle QWT+m\angle TWX = 90$, we have $3x+6 = 90$.

Step2: Subtract 6 from both sides

$3x+6-6=90 - 6$, so $3x=84$.

Step3: Divide both sides by 3

$\frac{3x}{3}=\frac{84}{3}$, then $x = 28$.

Step4: For the second equation, substitute $PM=2x - 4$ into $KL = 3(PM)$

$5x=3(2x - 4)$.

Step5: Distribute on the right - hand side

$5x=6x-12$.

Step6: Subtract $6x$ from both sides

$5x-6x=6x - 12-6x$, so $-x=-12$.

Step7: Multiply both sides by - 1

$(-1)\times(-x)=(-1)\times(-12)$, then $x = 12$.

Answer:

For the first problem: $x = 28$.
For the second problem: $x = 12$.