Answer:
see below
Step-by-step explanation:
1st: x
2nd: 5x + 8
x(5x + 8) = 36
5x² + 8x = 36
5x² + 8x - 36 = 0
(x - 2)(5x + 18) = 0
(x - 2) = 0
x - 2 = 0
x = 2
1st: x = 2
2nd: 5x + 8 = 5(2) + 8 = 18
(5x + 18) = 0
5x + 18 = 0
5x = -18
x = -3.6
1st: x = -3.6
2nd: 5x + 8 = 5(-3.6) + 8 = -18 + 8 = -10
Answer:
see explanation
Step-by-step explanation:
Since the triangles are similar
(a)
The corresponding angles are congruent , that is
∠ A = ∠ D , ∠ B = ∠ E , ∠ C = ∠ F
(b)
The ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
24 ? = 168 ( divide both sides by 24 )
? = 7
Total: 54
Boys: 36
Girls: x
54 - 36 = x
x = 18
There would be 18 girls at the swim meet