Answer: 4600
Step-by-step explanation:
Jack divided his fortune of 92,000 into 8 equal parts. This means a part will be equal to:
(92000 ÷ 8) = 11500.
He gave 4 parts to his wife. This means his wife has:
(11500 × 4) = 46000.
1 part to his son means that his son has: (1 × 11500) = 115000.
He gave the last 3 parts and evenly it among 5 charities. This means:
(3 × 11500) = 34500 was shared among 5 charities. Each charity will get: (34500 ÷ 5) = 6900
To calculate how much more money did his son get than the charities will be:
11500 - 6900 = 4600
To find the variable x, set the two outside equations equal to each other because all sides are equal
x+13=3x+3
13=2x+3
10=2x
x=5
then to find h, you set the equation equal to 90 because that's how many degrees it is
2h-45=90
2h=135
h=67.5
Since line t is a transversal line all angle which are perpendicular with 63 will equal to the same value (63) and also line m is a straight line where it’s total will be 180
So,
3x + 2x + 63 = 180
5x + 63 = 180
5x = 180 - 63
5x = 117
Divide by 5 throughout
X = 23.4degrees
Using the law of cosine:
Cosine(angle) = Adjacent leg / Hypotenuse
You are given the angle, and the adjacent leg and need to solve for X, which is the hypotenuse.
Using the formula above you have:
Cosine(58) = 17 / x
Solve for x by dividing 17 by cos(58)
x = 17 / cos(58)
x = 32.08
