I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.
2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)
Next, I add 20 on both sides.
2x + 90 + 3x = 200º
I combine like terms (2x and 3x)
5x + 90 = 200º
I subtract 90 from both sides.
5x = 110º
Divide 110 by 5 to get x.
x = 22
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For problem two, I label all the angles I know.
49º + 80º + r = 180º
I add 80 and 49.
129º + r = 180º
I subtract 180 and 129 and get 51º, which is your angle for R.
For angle X, you know that angle R plus angle X equals half of a circle, which is 180º
We know from before that 129º is 180º without R, so X is 129º
I hope this helps! Let me know if I'm wrong!
Answer:
Option A is the correct answer.
Explanation:
The given pyramid has 3 lateral triangular side as shown below.
Base of triangle = 12 unit
We need to find perpendicular.
By Pythagoras theorem we have
Perpendicular² = 10²-6²
Perpendicular = 8 unit
So area of 1 lateral triangle = 1/2 x Base x Perpendicular.
= 1/2 x 12 x 8 = 48 unit²
Area of lateral side = 3 x 48 = 144 unit²
Option A is the correct answer.
Parallel lines have the same slope.
So I plug in the -5 and -4
-4 = 1/2(-5) + b
-4 = -2.5 + b
b = -1.5
So I get y = 1/2x - 3/2
It is a simple multiplication problem. If you work for 39 hours, and you get paid $8.17 for every hour you work, just multiply 8.17 by 39 to get the gross pay.
8.17 x 39 = 318.63
The gross pay is $318.6.
Hope this helps =)
Answer:
$3,190.80
Step-by-step explanation:
yr 1:
27500 x .35 = 9625
27500 - 9625 = 17875
yr 2:
17875 x .35 = 6256.25
17875 - 6256.25 = 11618.75
yr 3:
11618.75 x .35 = 4066.5625
11618.75 - 4066.5625 = 7552.1875
yr 4:
7552.1875 x .35 = 2643.265625
7552.1875 - 2643.265625 = 4908.921875
yr 5:
4908.921875 x .35 = 1718.12265625
4908.921875 - 1718.12265625 = 3190.79921875
