Answer:
x=20
Step-by-step explanation:
First, find LJ
Angle L = 60 (180 - 30 - 90)
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(L)=adj/hyp
cos(60)=LJ/40√2
LJ = cos(60)*40√2
LJ = 20√2
Now you can use LJ to find x. You also know the value of each angle, 45
x=20√2⋅cos(45)
x=20
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: $7.6502
Step-by-step explanation:
Grape cost $1.19 per pound. 3.16 pounds are bought. The total amount paid for grape will be:
= $1.19 × 3.16
= $3.7604
Peaches cost $1.29 per pound. 1.35 pounds are bought. The total amount paid for peaches will be:
= $1.29 × 1.35
= $1.7415
Peers cost $0.99 per pound. 2.17 pounds are bought. The total amount paid for pears will be:
= $0.99 × 2.17
= $2.1483
Total bill paid will be:
= $3.7604 + $1.7415 + $2.1483
= $7.6502
Its 3
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(4,7.8) is your answer please give brainliest!
