Answer:
x = 12
Step-by-step explanation:
In similarity triangles angles are congruent.
∠D = ∠A
x² - 8x = 48
x² - 8x - 48 = 0
x² + 4x - 12x - 48 = 0
x(x + 4) - 12(x + 4) = 0
(x +4)(x - 12) = 0
x - 12 = 0 {Ignore x + 4 = 0, as measurements won't have negative values}
x = 12
Answer:
The answer is B. 12 cm
Step-by-step explanation:
ABC is a right triangle
AB and BC are the legs and AC is the hypotenuse.
The Pythagorean theorem a^2 + b^2 = c^2 can be manipulated to solve for a and get 12.
<span>Pete's age is 15/3 = 5 years old
Bryan's age is 15 years old
Philip's age is 15+5 = 20 years old
20+15+5= 40</span>
9x-7= 29
9x-7+7= 29+7
9x= 36
Divide by 9 for 9x and 36
9x/9= 36/9
x= 4
Check answer by using substitution method
9x-7= 29
9(4)-7=29
36-7= 29
29= 29
Answer is x=4 (second choice)
3a+20=-25
Subtract 20 from both sides
3a=-45
Divide both sides by 3
a=-15
Final answer: a=-15
