Question

Find MP. MN=17 NP=3y MP=5y+9

Answer 1

Answer:

$MP = 29$

Step-by-step explanation:

Given:

$MN = 17$

$NP = 3y$

$MP = 5y + 9$

$MN + NP = MP$ (segment addition postulate)

$17 + 3y = 5y + 9$ (substitution)

$3y = 5y + 9 - 17$ (subtracting 17 from each side)

$3y = 5y + 8$

$3y - 5y = 5y - 8 - 5y$ (Subtracting 5y from both sides)

$-2y = 5y - 8 - 5y$

$-2y = - 8$

$y = 4$ (dividing both sides by -2)

$MP = 5y + 9$

Plug in the value of y

$MP = 5(4) + 9 = 20 + 9$

$MP = 29$