Answer:
B. AC = 22, BC = 22, AB = 44
C. AC = 30, BC = 30, AB = 60
Step-by-step explanation:
B.
at C. (given)
(perpendicular dropped from the center of the circle to the chord bisects the chord)
AB = AC + BC = 22 + 22 = 44
C.
at C. (given)
(perpendicular dropped from the center of the circle to the chord bisects the chord)
AB = AC + BC = 30 + 30 = 60
Answer: 20%.
Step-by-step explanation:
Given, The price of a shirt is marked down from $12.50 to $10.00.
Previous price = $12.50
New price = $10.00
Change in price = Previous price - New price
= $12.50 - $10.00
= $2.50
Now, the percent decrease of the shirt = 
Hence, the percent decrease of the shirt = 20%.
Answer:
3) x = 15; 95 and 85 4) x = 12; 98 for both angles
Step-by-step explanation:
2x + 65 + 3x + 40 = 180 Set the equations equal to 180
5x + 105 = 180 Combine like terms
- 105 - 105 Subtract 105 from both sides
5x = 75 Divide both sides by 5
x = 15
Plug 15 into both equations
2(15) + 65 = 95
3(15) + 40 = 85
4) 5x + 38 = 9x - 10 Set the equations equal to each other
- 5x - 5x Subtract 5x from both sides
38 = 4x - 10
+ 10 + 10 Add 10 to both sides
48 = 4x Divide both sides by 4
12 = x
Plug 12 into both equations
5(12) + 38 = 98
9(12) - 10 = 98
Answer:
162
Step-by-step explanation:
Note that you can split the given shape into a triangle and a rectangle.
Area of rectangle = base x height
base = 12
height = 9
Plug in the corresponding numbers into the corresponding variables:
Area of rectangle = 12 x 9
= 108
Area of triangle = (base x height)/2
base = 12
height = 9
Area of triangle = (12 x 9)/2
= (108)/2
= 54
Next, add the two areas together to get the full area:
108 + 54 = 162
162 is your answer.
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