1.D 2.C 3.B 4.B 5.A 6.C 7.C 8.C 9.D. 10. A
Step-by-step explanation:
1.
Area of the remaining part is;
4*3=12 inches
12 *4 =48 inches ----for the 4 parts
4*4=16 inches-----for 1 part
48+16= 64 inches
Total =
2.
Area of a parallelogram is given by product of base and height
A=b*h
A=30*10 = 300 square inches
3.
Area of the round clock is calculated as the area of a circle
A=πr² where π=3.14 and r is radius
Diameter =12 in, radius is half the diameter, r=12/2 = 6 inch
A= 3.14*6*6=113.04 ⇒⇒ 113 square inches
4.
The angle ∠VWZ is corresponding to angle∠ WXY =∠52°
5.
Number of walls =3
Number of windows per wall =8
Area of a single window = area of semi-circle shaped part +area of the rectangular part
Area of glaze used on a single window = 1/2*π *r² = (1/2×π×18² + 36×60)
Area of glaze used in the 8 windows per room =8 (1/2×π×18² + 36×60)
Area of glaze used on the three walls = 3*8*(1/2×π×18² + 36×60)
6
The measure of ∠8=∠6=∠4 = 82°
7. First get ∠4 which equals ∠30° ----alternate angles
∠5 = 180°-∠4
∠5=180°-30°
∠5=180°-30°=150° ------- sum of angles on a straight line
8.The figure can be divided into a rectangle part and a triangle part;
The rectangle part has the dimensions; length =15ft, width =6 ft
The area of the rectangle part = l*w = 15*6= 90 ft²
The area of the triangle part is given by 1/2*b*h
The area of the triangle part is given by 1/2*15*18=135 ft²
Total area=90+135= 225ft²
9.
Alternate exterior angles are those pair of angles formed on the outside of each of those two lines a and b, but on the opposite sides of the transversal. In this case, they are angles ∠4 and ∠5
10.
The sum of same side interior angles is 180°. To get angle x; x= 180°-150°=30°
Learn More
Angles: brainly.com/question/9695253
Keywords: angles, area
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