The measure of an arc is the measure of its central angle, which is indicated as
Answer: 90°
right there in the figure.
Answer:
28
Step-by-step explanation:
We use the concept of similarity to find the value of X.
Δ APR ≡ ΔCDR
∴ AR/CR = PR/DR
(10+x)/x = (15+42)/42
42(10+x) = 57x
420 + 42x = 57x
57x - 42x = 420
15x = 420
x = 420/15
= 28
Answer:
147
Step-by-step explanation:
since it is straight line, subtract 33 from 180 - - > 180 - 33 = 147
Answer:
The answer is C
Step-by-step explanation:
Move the nine to the other side of the equal sign
Use the quadratic formula
Find a, b, and c
A=2, B=1, C=-10
Plug them in
1 squared minus 4(2)(-10)
1+80
81
Square root of 81=9
<u>-</u><u>1-9</u><u> </u> <u>-1+9</u>
4 4
<u>-</u><u>10</u><u> </u> <u>8</u>
4 4
Simplify
<u>-5</u> <u>2</u>
2 1
<u>-</u><u>5</u><u> </u> 2
2
14.) |3x + 2| - 8 > 21
|3x + 2| > 21 + 8
| 3x + 2| > 29
3x + 2 > 29 3x + 2 < -29
3x > 29 - 2 3x < -29 - 2
3x > 27 3x < -31
x > 27/3 x < -31/3 or - 10 1/3
x > 9
so the answer for this is : x > 9 or x < -31/3 <===
open circle on -10 1/3, shaded to the left and open circle on 9, shaded to the right
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15.) 4|x - 17 | < = 16
| x - 17 | < = 16/4
| x - 17 | < = 4
-4 < = x - 17 < = 4
-4 + 17 < = x - 17 + 17 < = 4 + 17
13 < = x < = 21 <===
closed circle on 13, closed circle on 21, shaded in between
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16.) 14 + |3 - 2x| > = 10
| 3 - 2x | > = 10 - 14
| 3 - 2x | > = -4
this has no solution because an absolute value cannot equal a negative number
