Please please help meee
1 answer:
The perimeter of the given quarter circle is 24.997 cm.
Step-by-step explanation:
Step 1:
The perimeter of a circle is 2π times its radius.
The given figure is only a quarter circle so we divide the entire circle's perimeter by 4 to get this figures circular portions perimeter and add it with the lengths of the two sides of the quarter circle.
The perimeter of a circle
Step 2:
The given circle has a radius of 7 cm and we take
The perimeter of the full circle
The perimeter of the circular portion cm.
The two sides measure 7 cm each.
So the perimeter of the given figure cm.
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<u>Given</u>:
Line m is parallel to line n.
The measure of ∠1 is (4x + 15)°
The measure of ∠2 is (9x + 35)°
We need to determine the measure of ∠1
<u>Value of x:</u>
From the figure, it is obvious that ∠1 and ∠2 are linear pairs.
Thus, we have;
Substituting the measures of ∠1 and ∠2, we get;
Thus, the value of x is 10.
<u>Measure of ∠1:</u>
The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1
Thus, we have;
Thus, the measure of ∠1 is 55°