Answer:
- 1) 64, 2) 6, 3) 26, 4) 33
Step-by-step explanation:
<h3>#1</h3>
<u>Sum of interior angles is 180</u>
- 70 + 46 + x = 180
- 116 + x = 180
- x = 64
<h3>#2</h3>
<u>Sum of interior angles is 180</u>
- 84 + 7x + 1 + 9x - 1 = 84
- 16x + 84 = 180
- 16x = 96
- x = 6
<h3>#3</h3>
<u>Vertical angles are same, the sum of remaining angles is same for both triangles:</u>
- 35 + 25 = 34 + x
- 60 = 34 + x
- x = 60 - 34
- x = 26
<h3>#4</h3>
<u>Exterior angle is same as the sum of non-adjacent interior angles:</u>
- 5x - 7 + 6x + 3 = 84
- 11x - 4 = 84
- 11x = 88
- x = 8
- m∠G = 5x - 7 = 5*8 - 7 = 40 - 7 = 33
Answer:
Step-by-step explanation:
9.81 times 10 to the -5th power
Answer:
For the triangle, the area is 7.5 in.
For the trapezoid, the area should be 90 cm
Step-by-step explanation:
The formula for a triangle is A=1/2bh and for a trapezoid it is (a+b)/2×h
Circumcerence = distance travelled in one full rotation = 2 x π x 8 = 16π
for 2 minutes and 15 seconds,
multiply 16π by 2.25 as 2 minutes is twice the distance of one rotation and 15 seconds is a quarter more
therefore answer is 36π = 113.1 inches
