Triangle PQR is similar to triangle STU, where P, Q, and R correspond to S, T, and U, respectively. In triangle PQR, the length of PQ is 2 and the length of QR is 8. In triangle STU,
the length of ST is 9. What is the length of TU?
9
11
18
36

TU=36

Step-by-step explanation:

use the side lengths of PQR to determine the proportionality of the two triangles. 9/2=4.5 so, multiply 8 by 4.5 to find TU.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions