Answer:
m<1 = 45°
m<2 = 76°
m<3 = 80°
Step-by-step explanation:
<u>Points to remember</u>
1). Vertically opposite angles are equal
2). Sum of angles of a triangles is 180°
<u>To find the measures of given angles</u>
From the figure we get,
m<1 = 45° [Vertically opposite angles]
By using angle sum property <2 + 59 + 45 = 180
m<2 = 180 - 104
m<2 = 76°
Also m<1 + m<3 + 55 = 180
m<3 = 180 - (m<1 + 55)
= 180 - (45 + 55)
= 180 - 100
m<3 = 80°
The annual fee is 1000000
Answer:
Total area of the gray sections of the target is 678 square inches.
Step-by-step explanation:
Given :
Three concentric circles and we have to find the total area of the gray sections.
Area of white circle having radius 1 foot.
⇒ Area of the white circle - Area of the smaller gray circle.
⇒
⇒
⇒ <em> ...1 foot = 12 inches and 0.5 foot = 6 inches</em>
⇒
⇒
⇒ 339.12 square inches
The total area of the gray sections is the area of the bigger gray circle minus the area of the white circle.
Total area of the gray sections:
⇒
⇒ <em> ....where 1.5 foot = 18 inches</em>
⇒
⇒ square inches.
≅ 678 square inches.
The total area of the gray sections of the target, to the nearest square inch is 678.
Option C is the right choice.
The answer is y -2 = -3x -3
960 X 0.3 = $288
960X 0.45 = $432
960 - 288 - 432 = $240
Katherine will pay $240