2 triangles are shown. The first triangle has side lengths 15, 15, and 21. The second triangle has side lengths 20, 20, x. What value of x will make the triangles similar by the SSS similarity theorem? x =

28

Step-by-step explanation:

The ratio of the sides must be the same

15           21

=

20           x

Using cross products

15x = 20*21

Divide each side by 15

15x/15 = 20*21/15

x =28

7

step-by-step explanation:

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