Answer:
282°
Step-by-step explanation:
The measure of long arc KLM can be found by first determining the measure of short arc KM. That arc can be found using the inscribed angle theorem.
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<h3>value of x</h3>
The inscribed angle theorem tells you the measure of arc KM is twice the measure of the inscribed angle KLM that subtends it. This relation can be used to find the value of x, hence the measure of the arc.
2∠KLM = arc KM
2(5x -1) = 8x +14
10x -2 = 8x +14 . . . . . . eliminate parentheses
2x = 16 . . . . . . . . . . add 2-8x
x = 8 . . . . . . . . . divide by 2
<h3>measure of arc KM</h3>
The expression for the measure of arc KM can be evaluated.
arc KM = 8x +14 = 8(8) +14 = 78°
<h3>
measure of arc KLM</h3>
The total of arcs of a circle is 360°, so the measure of long arc KLM will bring the total with arc KM to 360°:
arc KM +arc KLM = 360°
arc KLM = 360° -arc KM
arc KLM = 360° -78° = 282°
The measure are long arc KLM is 282°.
Answer:
Step-by-step explanation:
So when we solve the inequality:
2(x - 2) >_ 2
x - 2 >_ 1 (divided 2 from both sides)
x >_ 3 (added 2 to both sides)
So with our final equation, we can work out that the answer is b, but d is also correct so I'm assuming that the inequality needs to be represented on a number line as hey usually are.
Hope this helps,
Cate
Answer:
Step-by-step explanation:
3/12 really is 1/4 (Divide top and bottom by 3) 3/3 = 1 and 12/3 = 4
1/5 + 1/4 = 4/20 + 5/20 = 9/20
There is something we don't know about this question. If you put a remark, I will come back and look at it.
Answer:
2.16
Step-by-step explanation:
12/100=0.12
18 · 0.12=2.16