The best answer is D.
According to the pythagorean theorem, a^2+b^2=c^2 in a right triangle where a and b are the legs and c is the hypotenuse.
The diagram given gives the length of both legs, so plug it into the equation to get c^2= 24^2+45^2
Answer:
$966
Step-by-step explanation:
6/7 = 828/x
Write a proportion.
6x = 7(828) Use cross products.
6x = 5796 Multiply.
x = 966 Divide both sides by 6.
Paul's investment was $966.
Answer:
∠ ABC = 116°
Step-by-step explanation:
Since the angles are supplementary, they sum to 180° , that is
8x - 36 + 4x - 12 = 180
12x - 48 = 180 ( add 48 to both sides )
12x = 228 ( divide both sides by 12 )
x = 19
Then
∠ ABC = 8x - 36 = 8(19) - 36 = 152 - 36 = 116°
