Question

unit 1 exam review
if point m is between points x and y use the information below to find xm.
xm = -w + 13
my = 6w + 22
xy = 50
xm =

Explanation:

Step1: Apply segment - addition postulate

Since point M is between X and Y, we have $XM + MY=XY$. Substitute the given expressions: $(-w + 13)+(6w + 22)=50$.

Step2: Simplify the left - hand side

Combine like terms: $(-w+6w)+(13 + 22)=50$, which gives $5w+35 = 50$.

Step3: Solve for w

Subtract 35 from both sides: $5w=50 - 35$, so $5w=15$. Then divide both sides by 5: $w=\frac{15}{5}=3$.

Step4: Find XM

Substitute $w = 3$ into the expression for XM: $XM=-w + 13=-3 + 13$.

Answer:

$10$