11) First, add 74 and 43.
74+43=117
Subtract 117 from 180. Do this because this will give you the value of angle 1. This is because the sum of the angles in a triangle will always add up to 180 degrees.
180-117=63
Angle 1 = 63 degrees
Angle 2 also equals 63 degrees, because they are vertical angles.
Angle 2= 63 degrees
Now, add 63 and 79
63+79=142
Subtract 142 from 180
180-142=38
Angle 3 = 38 degrees
12)
First, subtract 56 from 180. Do this to find angle C. They are supplementary angles, so they will equal 180 degrees.
180-56=124
Angle C=124 degrees
Now, add 124 and 20
124+20=144
Finally, subtract 144 from 180
180-144=36
The measure of angle A is 36 degrees
Hope this helped! :)
Answer:
It is a reflection of the y axis, with 2 units down. :)
Step-by-step explanation:
Its the 3rd choice if we have to shade the unwante part
Answer:
B) 4x-5-3x=x+5 has no solution.
Step-by-step explanation:
A) 4x+4=4-4x
4x-(-4x)+4=4
4x+4x+4=4
8x+4=4
8x=4-4
8x=0
x=0/8
x=0
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B) 4x-5-3x=x+5
4x-3x-5=x+5
x-5=x+5
x-x-5=5
-5=5
no solution.
------------------------
C) 4x+15-9x=5x+15
4x-9x+15=5x+15
-5x+15=5x+15
-5x-5x+15=15
-10x+15=15
-10x=15-15
-10x=0
x=0/-10
x=0
------------------------
D) 4x+2-x=4+3x-2
3x+2=3x+4-2
3x+2=3x+2
infinitely many solutions.
Answer:
About 9.1 yards tall.
Step-by-step explanation:
So, we can draw the right triangle shown below:
We want to find h.
Since we know the angle and the side adjacent to the angle and we wan to find the opposite side, we will use the tangent ratio:

So:

Therefore:

Use a calculator. Ensure your calculator is in the correct mode (degrees mode):

The goal post is around 9.1 yards tall.