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nordsb [41]
3 years ago
5

Algebraic math question

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer:

7 \:  {ft}^{2}

Step-by-step explanation:

Area of the trapezoidal table

=\frac{1}{\cancel 2}(4 + 3)\times  \cancel 2

= 7 \:  {ft}^{2}

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Please write down your work on the loose leaf, take a CLEAR picture, and upload here. Thank you.
Zigmanuir [339]

Answer:

m(∠C) = 18°

Step-by-step explanation:

From the picture attached,

m(arc BD) = 20°

m(arc DE) = 104°

Measure of the angle between secant and the tangent drawn from a point outside the circle is half the difference of the measures of intercepted arcs.

m(∠C) = \frac{1}{2}[\text{arc(EA)}-\text{arc(BD)}]

Since, AB is a diameter,

m(arc BD) + m(arc DE) + m(arc EA) = 180°

20° + 104° + m(arc EA) = 180°

124° + m(arc EA) = 180°

m(arc EA) = 56°

Therefore, m(∠C) = \frac{1}{2}(56^{\circ}-20^{\circ})

m(∠C) = 18°

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Work Shown:

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