Answer:
y>0, -3>x> -1
y<0, -3<x<-1
y = 0, x = -3 and x = -1
Step-by-step explanation:
Answer:
31 square units
Step-by-step explanation:
See the picture below.
Each full or almost full square was counted first. There are 24 of them.
Then parts of squares of counted together to add to 1 square. They are color coded in the figure below. After adding them all up, the total was 31.
Step-by-step explanation:
14 gallons bought for $34.72
1 gallon bought for
=$2.48
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°.
I think the answer is 558.04
