Answer:
<Q = 30
Step-by-step explanation:
2x + 70 + x - 10 = 180
3x + 60 = 180
3x = 120
x = 40
x - 10
40 - 10
30
<Q = 30 because of vertical angles
1 week is 7 days.
3 weeks = 21 days. Answer D. is correct.
A hour is 3600 seconds
24 hours ( a day ) is 86400 seconds
21 days is 1814400 seconds. * This is not an option *
Since 24 hours are in a day 24 hours x 21 days is 504 hours
Answer A. is correct
504 hours x 60 minutes per hour is 30240
Answer B. is correct. These are all the correct answers, A,B, and D.
Answer:
∠C=90°
∠A=67°
∠B=23°
Step-by-step explanation:
For angle C:
Thales' Theorem states that an angle inscribed across a circle's diameter is always a right angle.
Therefore, since AB is the diameter(hypotenuse) then angle C is the right angle. (90°)
For Angle A:
The measure of arc BC= 134 degrees. We can just use a formula for an inscribed triangle. ∠A = 1/2 (mBC)
∠A= (1/2)134
∠A= 77°
For angle B:
All triangle angles all add up to 180. We can just subtract angles A and C from 180°:
∠B = 180-(90+67)
∠B = 23°
1) No; you are incorrect. "0" is NOT a solution.
Plug in "0" for "x" ;
8*0² + 23 =? 823? ;
8*0 + 23 =? 823? ;
0 + 23 = ? 823 ? ; No! ; "0 + 23 = 23 " ; NOT "823" .
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2) The answers: x = 10, -10 ; or, write as: x = ± 10 .
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To solve:
GIven: 8x² + 23 = 823 ;
Subtract "23" from EACH SIDE of the equation:
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8x² + 23 - 23 = 823 - 23 ;
to get:
8x² = 800 ;
Now, divide EACH SIDE of the equation by "8" ;
8x² / 8 = 800 / 8 ;
to get: x² = 100 ;
Take the "square root" of EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
√(x²) = √(100) ;
x = <span>± 10 .
The answers: x = 10, -10 ; or, write as: x = </span><span>± 10 .
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Answer:
8
10 divided by 5 is 2, and 2 cubed is 8
