Answer:
238
Step-by-step explanation:
Important note: ∠FAH is an inscribed angle and arc mFGH is it's intercepted arc
opposite angles in a quadrilateral formed inside of a circle area supplementary
Supplementary meaning that they add up to equal 180
So 13x + 15 + 8x - 3 = 180
We now solve for x
step 1 combine like terms
13x + 8x = 21x
15 - 3 = 12
12 + 21x = 180
step 2 subtract 12 from each side
12 - 12 cancels out
180 - 12 = 168
21x = 168
step 3 divide each side by 21
21x / 21 = x
168 / 21 = 8
we're left with x = 8
Now we substitute 8 for x in 13x + 15
13 ( 8 ) + 15
13 * 8 = 104
104 + 15 = 119
So ∠FAH = 119
Recall that an included angle is equal to half the measure of its intercepted arc.
so arc mFGH = 2 (119)
2 * 119 = 238
Therefore your answer is A
Answer:
(1/2, 1)
2
Step-by-step explanation:
x² + y² − x − 2y − 11/4 = 0
x² − x + y² − 2y = 11/4
Complete the squares.
x² − x + 1/4 + y² − 2y + 1 = 11/4 + 1/4 + 1
(x − 1/2)² + (y − 1)² = 4
The center of the circle is (1/2, 1) and the radius of the circle is 2.
Answer:
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Answer:5x-20y=12
Step-by-step explanation:
Answer:
Surface area of the given prism = 63 square feet
Step-by-step explanation:
Surface area of the given triangular prism = Area of two triangular bases + Area of three vertical rectangles
Area of triangular bases = 2[] (Since the bases of this prism are right triangles)
= 3 × 3
= 9 square ft
Area of one vertical rectangular face = (Length × Width)
= (3 × 6)
= 18 square feet
Area of all vertical sides = 3 × 18 = 54 square feet
Total surface area = 9 + 54 = 63 square feet