Answer:
x = 13
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
78(11x - 13) = 10140 ( divide both sides by 78 )
11x - 13 = 130 ( add 13 to both sides )
11x = 143 ( divide both sides by 11 )
x = 13
Answer:
20 times an hour so 20 times 48 is 960 1920-960 is 960 gallons so there is 960 gallons of water left
Answer:
AT = 8
Step-by-step explanation:
Using the sine ratio in the right triangle
and sin45° = 
sin45° =
=
= 
Multiply both sides by AT
AT × sin45° = 8, that is
AT ×
= 8
Multiply both sides by 
AT = 8
9^2 - 4^2 = (9 + 4)(9 - 4)
So the polynomial identity used here is