Answer:
angle FEA is 100°
angle AEC is 20°
angle CEG is 60°
Step-by-step explanation:
angle AEC=angle DEB=20°
angle AEG=angle FED=80°
80°-20°=60°; angle CEG=60°
angle FEA+angle AEC+ angle CEG=180°
angle FEA=100°
The option C) 49 inches is the circumference of the circular mat.
<u>Step-by-step explanation:</u>
- Tricia made a circular mat from a square piece of cloth.
- The measure of the side length of the square = 14 inches.
- The length of the side is same as the diameter of the circle.
- Therefore, the diameter of the circular mat = 14 inches.
<u>To find radius :</u>
Radius = diameter / 2
⇒ 14/2
⇒ 7 inches.
<u>To find the circumference of the circular mat :</u>
Circumference = 2πr
where,
π has the default value of 3.14
r is the radius of the circular mat.
⇒ 2 × 3.14 × 7
⇒ 44 inches.
∴ The circumference of the circular mat is 44 inches.
Since, it is not given in the option. The option C) 49 inches which is close to 44 inches is the right option.
Answer: 83,662,774
Step-by-step explanation:
Perpendicular = opposite sign and reciprocal slope
Y = 3/2x + 1
The slope is 3/2, opposite sign = -3/2 now reciprocal = -2/3
Y = -2/3x + b
Plug in the point (6,-2)
-2 = -2/3(6) + b
-2 = -12/3 + b
-2 = -4 + b, b =2
Solution: y = -2/3x + 2
X=3.8
Sin41/2.5 = sin90/x
Sin90 x 2.5 = sin41 x X
Sin90 x 2.5/ sin41
X=3.8
