1. Angle PAB is 90 degrees, as it is formed from the tanget to the circle at A, and the radius drawn to A.
2. AB=BC, because tangents drawn to a circle from the same point are equal.
3. PB is Common, so by the side-side-side congruence postulate, triangles ABP and CBP are congruent.
4. So measure of m(BPA)=x/2 and m(ABP)=73/2.
5.
, x= 107 degrees.
Answer:
42 degrees
Step-by-step explanation:
92 - 50 = x
42 degrees = x
The perimeter of an object is found by adding all of the sides. The sides of his frame would be 2 ft, 2 ft, 1.5 ft (18 inches / 12 inches per foot = 1.5 feet), 1.5 feet. Adding these together we get a total length of 7 feet. However, he may want to use a slightly longer board to account for any errors!
Answer:
x = 5
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles in the triangle and equate to 180, that is
10x - 4 + 8x + 3 + 91 = 180
18x + 90 = 180 ( subtract 90 from both sides )
18x = 90 ( divide both sides by 18 )
x = 5
Answer:
1168/3 or 389 1/3 as a mixed fraction
Step-by-step explanation:
Simplify the following:
4^2 (4×36/6 + 1/3)
4×36/6 = (4×36)/6:
4^2 ((4×36)/6 + 1/3)
4^2 = 16:
16 ((4×36)/6 + 1/3)
36/6 = (6×6)/6 = 6:
16 (4×6 + 1/3)
4×6 = 24:
16 (24 + 1/3)
Put 1/3 + 24 over the common denominator 3. 1/3 + 24 = 1/3 + (3×24)/3:
16 1/3 + (3×24)/3
3×24 = 72:
16 (1/3 + 72/3)
1/3 + 72/3 = (1 + 72)/3:
16 (1 + 72)/3
1 + 72 = 73:
16×73/3
16×73/3 = (16×73)/3:
(16×73)/3
| | 7 | 3
× | | 1 | 6
| 4 | 3 | 8
| 7 | 3 | 0
1 | 1 | 6 | 8:
Answer: 1168/3
