Since the given figure is a trapezoid, here is how we are going to find for the value of x. Firstly, the sum of the bases of the trapezoid is always equal to twice of the median. So it would look like this. 2M = A + B.
Plug in the given values above.
2M = (<span>3x+1) + (7x+1)
2(10) = 10x + 2
20 = 10x + 2
20 - 2 = 10x
18 = 10x < divide both sides by 10 and we get,
1.8 = x
Therefore, the value of x in the given trapezoid is 1.8. Hope this is the answer that you are looking for.
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1. The answer would be RS. 2. The matching angle would be T.
If the radius of the circle exists 2.4 kilometers and is intercepted by a central angle measuring 150° then the length of the arc exists 5π inches.
<h3>What was the relation between the
central angle and its
intercepted arc?</h3>
- If the vertex of an angle exists in the center of the circle and the two sides of the angle are radii in the circle, then this angle exists named a central angle.
- Each central angle exists subtended by the opposite arc, the name of the arc exists the starting point and the finish point of the angle.
- There exists a relation between the central angle and its subtended arc the measure of the central angle equals half the measure of its subtended arc.
- The length of the subtended arc relies on the measurement of its central angle and the length of the radius and the measure of the arc.
- The measurement of the circle exists at 360°.
- The length of the circle exists at 2πr.
The radius of the circle r = 2.4 kilometers
The measure of the central angle exists at 150°.
The length of the arc = central angle/360 × 2πr
The length of the arc = 150°/360° × 2 × π × 2.4 = 2π
The length of the arc exists 2π kilometers.
To learn more about arc length refer to:
brainly.com/question/11134371
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No, because if y is in fact 9 then the expression
evaluates to
which is a false hence y cannot be 9 but rather
.
Hope this helps.