Answer: k ≤ -4 or k ≥ 
<u>Explanation:</u>
| 3k + 4 | ≥ 8
3k + 4 ≥ 8 or 3k + 4 ≤ -8
<u> -4</u> <u> -4 </u> <u> -4</u> <u>-4 </u>
3k ≥ 4 or 3k ≤ -12
<u>÷3 </u> <u>÷3 </u> <u> ÷3 </u> <u>÷3 </u>
k ≥ or k ≤ -4
Answer:
40
Step-by-step explanation:
As the total circumference of a circle is 360 degrees, the measure of the unknown arc is 360-150-130=80 degrees.
So, by the inscribed angle theorem, angle 1 measures 40 degrees.
1
Simplify \frac{1}{2}\imath n(x+3)21ın(x+3) to \frac{\imath n(x+3)}{2}2ın(x+3)
\frac{\imath n(x+3)}{2}-\imath nx=02ın(x+3)−ınx=0
2
Add \imath nxınx to both sides
\frac{\imath n(x+3)}{2}=\imath nx2ın(x+3)=ınx
3
Multiply both sides by 22
\imath n(x+3)=\imath nx\times 2ın(x+3)=ınx×2
4
Regroup terms
\imath n(x+3)=nx\times 2\imathın(x+3)=nx×2ı
5
Cancel \imathı on both sides
n(x+3)=nx\times 2n(x+3)=nx×2
6
Divide both sides by nn
x+3=\frac{nx\times 2}{n}x+3=nnx×2
7
Subtract 33 from both sides
x=\frac{nx\times 2}{n}-3x=nnx×2−3
Answer:
1.) $10.50 + $3.50n
2.) Replace the variable with the given number. In this case, the given number is 20.
n = 20
$10.50 + $3.50(20)
$10.50 + $70 = $80.50
So, the total cost to visit the fair is $80.50.
Answer:
StartFraction 25 Over 9 EndFraction
Step-by-step explanation:
