Answer:
The Slope of both the lines is the same.
Step-by-step explanation:
Given two co-ordinates (x1, y1) and (x2, y2), the slope of a line can be found using the formula:

For the diagonal line of the first triangle, the coordinates are (0, 0) and (2, 1)

For the diagonal line of the large triangle, the coordinates are (2, 1) and (6, 3)

∠A = 24°
∠B = 87°
∠A = 24°
Explanation:
The sum of angles in a triangle is 180 degrees
let measure of angle A = ∠A
∠B = 15 more than three times the measure of angle A
∠B = 15 + 3∠A
∠C = 45° more than the measure of angle A
∠C = 45° + ∠A
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 15 + 3∠A + 45° + ∠A = 180
collect like terms:
∠A + 3∠A + ∠A + 15 + 45 = 180
5∠A + 60 = 180
5∠A = 180 -60
5∠A = 120
∠A = 120/5
∠A = 24°
∠B = 15 + 3∠A = 15 + 3(24)
∠B = 87°
∠C = 45° + ∠A = 45° + 24°
∠C = 69°
Answer:
The diver will be 8 feet from the end of the board when he hits the water.
Step-by-step explanation:
The diver hits the water when y = 0.
To find the distance, we have to find the values of x when y = 0.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this problem, we have that:


So

Then



It is a horizontal distance, so the answer is a positive value.
The diver will be 8 feet from the end of the board when he hits the water.
Answer:
20*20+CD=400+CD
Step-by-step explanation:
Multiply
20
by
20