Answer:
1 1/3
Step-by-step explanation:
3/3 = 1 Whole
Therefore 4/3 = 1 1/3
We have a right triangle with
a = one leg = 28
b = other leg = 21
c = hypotenuse = 5x
use the pythagorean theorem (a^2+b^2 = c^2) and solve for x
a^2+b^2 = c^2
28^2+21^2 = (5x)^2
784+441 = 25x^2
1225 = 25x^2
25x^2 = 1225
(25x^2)/25 = 1225/25
x^2 = 49
sqrt(x^2) = sqrt(49)
|x| = 7
x = 7 or x = -7
Since the hypotenuse has length 5x meters, this means
5x = 5*7 = 35
or
5x = 5(-7) = -35
Toss out the negative length as it makes no sense.
The only value of x is x = 7
Therefore the final answer is x = 7
Answer is d = 50.
Step by step. These are vertical angles so the (d + 70) will equal the opposite angle of 120.
Equation is d + 70 = 120.
Solve for d. Subtract 70 from both sides of the equal sign to solve for d.
d + 70 - 70 = 120 - 70
d = 50
