The formula of the length of the segment AB:
We have:
Substitute:
Answer:
B) 10.
Answer:
12:44, or if simplified 3:11
Step-by-step explanation:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14 (or 4∶7).
9514 1404 393
Answer:
14. C) 136°
15. C) 40°
Step-by-step explanation:
Inscribed angles are half the measure of the arc they intercept. For an inscribed quadrilateral, this means opposite angles are supplementary.
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14) ∠H +∠W = 180°
34x +55x +2 = 180
89x = 178 . . . . . . . . . subtract 2
x = 2 . . . . . . . . . . . . . divide by 89
arc VX = 2(34x) = 68(2) = 136 . . . degrees
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15) The sum of angles in the triangle is 180°.
? + 80° + (120°/2) = 180°
? = 40° . . . . . . . . . . subtract 140°
Answer:
Mimi is 15.
Step-by-step explanation:
Set up two equations, and solve by elimination.
2(m+5) = d+5
- 3(m-5) = d-5
_____________
2(m+5) - 3(m-5) = 10
2m + 10 - 3m + 15 = 10
-m + 25 = 10
-m = -15
<u>m = 15</u>
Plug this back in to get dad's age.
2(m+5) = d+5
2(15+5) = d + 5
2(20) = d + 5
40 = d + 5
<u>d = 35</u>
<u></u>
Answer:
Step-by-step explanation:
Because of the power of a power property, which states that 
, where m and n are real numbers, the expression you mentioned can be simplified by applying this property like this: 
