Answer: 6
Step-by-step explanation:
From the question, a base angle of isosceles triangle is 30°.We are also informed that one of the legs is 12. The altitude is opposite to the angle having a measure of 30°. The hypoteneous in the right angled triangle which is formed by drawing the altitude is 12. This will be calculated as:
Sin = opposite/hypotenuse
Sin 30°=length of the altitude/12
Note that sin 30° = 0.5
0.5 = length of the altitude/12
length of the altitude = 12 × 0.5
Hence, length of altitude = 6
Answer:
the answer is 2...................
Step-by-step explanation:
-6+8=2
<h3>
Answer: Choice B</h3>
Angle 1 = 147 degrees
Angle 2 = 80 degrees
Angle 3 = 148 degrees
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Work Shown:
(angle 1) + 33 = 180
angle 1 = 180-33
angle 1 = 147 degrees
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Focus on the left most triangle that has angles 33 and 47 as interior angles. The missing angle is 180-33-47 = 100 degrees
The angle exterior to this 100 degree angle is angle 2
angle 2 = 180-100 = 80
We have enough info to conclude the answer must be choice B.
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Let's keep going to find angle 3
The vertical angle for the 100 degree angle is also 100 degrees. This second 100 degree angle is part of the triangle on the right
This triangle on the right has interior angles 100 and 48
The missing interior angle is 180-100-48 = 32
The angle supplementary to this is 180-32 = 148, which is angle 3.
You can divide the polygon into a triangle (VMR) and rectangle(VEDR)
VE=5
VR=6
The area for VEDR would be:
area= VE*VR= 5*6= 30
triangle height=3
VR=6
The area for VMR
area= 1/2 * 3 * 6= 9
Total area= 30 + 9 = 39
I think he would expect $60,000
I hope thats right,
QueenBeauty666
