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4 years ago

I need help solving this math problem.

Mathematics

1 answer:

Afina-wow [57]4 years ago

8 0

Answer:

∠RQS = 100°

Step-by-step explanation:

The angles 5x + 5 and 11x - 65 form a linear pair. That is they sum to 180°

Sum the 2 angles and equate to 180, that is

5x + 5 + 11x - 65 = 180

16x - 60 = 180 ( add 60 to both sides )

16x = 240 ( divide both sides by 16 )

x = 15

∠RQS = 11x - 65 = (11 × 15) - 65 = 165 - 65 = 100°

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3 years ago

Read 2 more answers

In the figure below, the radius of the larger circle is 6,8 and the radius of the smaller circle is 4.5. Which of the following

Anna [14]

A circle is a figure bounded by a curved side which is referred to as circumference. Thus the area of the shaded region is option D. 81.65.

A circle is a figure bounded by a curved side which is referred to as circumference. Some of its parts are radius, diameter, sector, arc, etc.

The area of a circle can be determined by the given expression:

Area = π $r^{2}$

where r is the radius of the circle and π = $\frac{22}{7}$

So, the area of the shaded region can be determined as:

Area of the shaded region = area of the larger circle - area of the smaller circle

Area of the shaded region = π $(6.8)^{2}$ - π $(4.5)^{2}$

= π (46.24 - 20.25)

= $\frac{22}{7}$ x 25.99

= $\frac{571.78}{7}$

Area of the shaded region = 81.683

Thus the appropriate answer to the question is option D. 81.65.

For more clarifications on the area of a circle, visit: brainly.com/question/3747803

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2 years ago