Problem 44
The term "bisect" means "cut in half".
Since BD bisects angle ABC, this means the smaller angles ABD and DBC are congruent.
angle ABD = angle DBC
x+15 = 4x-45
15+45 = 4x-x
60 = 3x
3x = 60
x = 60/3
x = 20
<h3>Answer: x = 20</h3>
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Problem 45
We use the same idea as the previous problem
angle ABD = angle DBC
2x+35 = 5x-22
35+22 = 5x-2x
57 = 3x
3x = 57
x = 57/3
x = 19
<h3>Answer: x = 19</h3>
Answer:
38.88
Step-by-step explanation:
The answer is D.
explain:
A^2 + b^2 = c^2
Answer:
Step-by-step explanation:
a) Pythagorean theorem,
altitude² + base² = hypotenuse²
h² + (w² - 1)² = (w² + 1)²
h² = (w² + 1)² - (w² - 1)²
{Compare with (a + b)² - (a -b)² = 4ab where a =w² & b = 1}
h² = 4*w²*1
h² = 4w²

b) Area of triangle = 

c) w =2
Area of triangle = 3w = 3*2 = 6
Answer:
The answer is on the site
Step-by-step explanation:
https://www.bartleby.com/questions-and-answers/find-the-equation-of-a-line-passing-through-point-32-and-perpendicular-to-the-line-2x-3y-40./009bf91e-86e4-4b09-9d15-2d08cb5293fd