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°.
BRAINLY BRAINLY BRAINLY the answer is C
Answer:
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Step-by-step explanation:
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Answer:
Fatima should shade 3 groups of 8 small squares or 24 small squares.
Step-by-step explanation:
Consider the provided information.
Fatima is shading this model to show 0.08 × 3. Shade the correct amount of boxes that will show the product.
Here 3 represents the number of groups and 8 represents the small square.
Multiplication is repeated addition.
We can rewrite the above multiplication as: 0.08 + 0.08 + 0.08
Therefore 0.08 × 3 = 0.24
Here 0.24 represents 24 small squares.
The required model is shown below:
Hence, Fatima should shade 3 groups of 8 small squares or 24 small squares.
