Answer: 
Step-by-step explanation:
<u>The goal of the question</u>
Find the value of 2abcosC
<u>Given information</u>
a = 4
b = 3
c = 2
<u>Given formula (Law of Cosine)</u>

<u>Substitute values into the formula (Leave 2abcosC as it is)</u>

<u>Simplify the exponents</u>

<u>Simplify by addition</u>

<u>Add 2abcosC on both sides</u>


<u>Subtract 4 on both sides</u>


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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:
If this is for a triangle then the answer is 45°
Step-by-step explanation:
Triangles are always 180° so if you have a right angle know that, that means the angle is 90°. So angle CAB is 90° and angle DAB is 45°. You take 180° and subtract 90° which leaves you with 90°. Then you take that 90° and subtract 45° and that leaves you with 45°.
Answer:
-90/11
Step-by-step explanation:
convert each mixed number into a improper fraction
27/11 - 117/11
= -90/11
Answer:
x=2°
Step-by-step explanation:
(5x+35)°=45° because they are alternative angle
5x+35°=45°
5x=45°-35°
5x=10°
x=10°/5
x=2°