Question

Having problems with geometry homework, help me please

Answer 1

X=19

Just equal the two equations together and solve


Brainliest?

Answer 2

Answer:

$XZ=146$

Step-by-step explanation:

Since $M$ is the midpoint of segment $XZ$:

$XM+MZ=XZ$

$XM=MZ$

Identify your known values:

$XM=2x+35\\MZ=5x-22$

Solve for $x$:

$2x+35=5x-22$

Subtract $35$ from both sides of the equation:

$2x=5x-57$

Subtract $5x$ from both sides of the equation:

$-3x=-57$

Divide by the coefficient of $x$, which is $-3$:

$x=19$

Substitute:

$XM=2(19)+35\\MZ=5(19)-22$

Solve:

$XM=73\\MZ=73$

Again, we know:

$XM+MZ=XZ$

Therefore:

$XZ=73+73$

Solve:

$XZ=146$