The answer is 102
3x+2x+50=180
5x+50=180
5x+50-50=180-50
5x=130
5x/5=130/5
X=26
2(26)+50=102
Ray OE is the angle bisector of angle AOD
ray oc is the bisector of angle BOD
Answer:
2 ROUTE 113
Step-by-step explanation:
Pythagorean theorm.
Factor it out.
Simplify the radical.
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°.
You would do 3/4 of 20.
20 / 4 = 15
15 pens have black ink.
