Question

pentagon PQRST ~ pentagon XYZVW. find the value of b. will give brainlist ​

Answer 1

Answer:

Step-by-step explanation:

(4a - 3)/(3b + 1) = 39/(a + 1) You are not going to get a numerical answer for this. Cross multiply

(4a - 3)(a + 1) = 39(3b + 1)

4a^2 + a - 3 = 117b + 39

4a^2 + a - 42 = 117b

b = $\frac{a^2 +a - 42}{117}$

Answer 2

Answer:

b = 3

Step-by-step explanation:

I think that the relations are the following

$\frac{QP}{XY}=\frac{RS}{VZ}=\frac{PT}{XW}\\\\\frac{39}{13}=\frac{4a-3}{a+1}=\frac{5a+6b}{5b+1}\\\\3=\frac{4a+3}{a-1}=\frac{5a+6b}{5b+1}$

so we first solve for a and then for b

$3=\frac{4a-3}{a+1}\\\\3(a+1)=4a-3\\\\3a+3=4a-3\\\\4a-3a=3+3\\\\a=6$

and now for b

$3=\frac{5a+6b}{5b+1}\\\\3(5b+1)=5a+6b\\\\15b+3=5a+6b\\\\15b=5a+6b-3\\\\15b-6b=5a-3\\\\9b=5a-3\\\\b=\frac{5a-3}{9}\\\\b=\frac{5(6)-3}{9}\\\\b=\frac{30-3}{9}\\\\b=\frac{27}{9}\\\\b=3$