Answer:
32
Step-by-step explanation:
Daisy's mom is 4 times as old as she.
m = 4d
The sum of their ages 6 years ago was 28.
(m - 6) + (d - 6) = 28
Substitute for m = 4d
(4d - 6) + (d - 6) = 28
Combine like terms
5d - 12 = 28
5d = 40
Divide by 5
d = 8
m = 4d
m = 4 * 8
m = 32
The barn, the ground, and the ladder form a right triangle. If we represent the height on the barn by y, then the Pythagorean theorem tells us
... hypotenuse² = (side1)² + (side2)²
... (12 ft)² = (3 ft)² + y² . . . . . . . . . . . . fill in given information
... 144 ft² - 9 ft² = y² = 135 ft² . . . . . .subtract (3 ft)²
... y = 3√15 ft ≈ 11.6 ft . . . . . . . . . . . take the square root
The ladder reaches 11.6 feet high on the barn.
Since she makes $13 per hour, she would have to work 5 hours to make $65.
Similar Polygons
Similar polygons are polygons whose corresponding angles are congruent and their corresponding sides are proportional. In other words, Polygons that have the same shape but not necessarily the same size are called similar polygons.
The answer is, A) No solution
