Angle UTV is basically given: it's 138°.
Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°
No solution, I hope I helped (:
The measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
We have a length of an arc of a circle of radius 7 is approximately 10.99 cm.
The radius r = 7 cm
The arc length l = 10.99 cm
We know,
l = rθ
θ is the central angle.
θ = l/r = 10.99/7 = 1.57 radians
To convert 1.57 radians into the degree multiply it by 180/π
θ = 89.95 degree
Thus, the measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.
Learn more about circle here:
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Answer:
75
Step-by-step explanation:
750×0.10=75
Tess and Jack are both correct with their claims
<h3>How to determine who is correct?</h3>
The attached image completes the question
From the complete question, we have the following highlights
- The shape has equal side lengths
- The angles at the vertices of the shape are right angles
The above properties represent a square
A rhombus can also have the above properties when the vertices are at 90 degrees
Hence, Tess and Jack are both correct with their claims
Read more about squares and rhombus at:
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