LTLICKME7437

24.05.2020 • 

Mathematics

2.What is the arc length of RT?
3.Given that the diameter of Circle E is 11 cm, and the radius of Circle F is 7 cm, what can be concluded about the two circles?

4.The measure of ABC is 120°. The length of radius BA is 5 centimeters. What is the area of the shaded, larger sector? Use 3.14 for
5.In the figure above, line AG is tangent to circle C at point F, the measure of BFA = 61°, and the measure of = 34°.

If the measure of = 64°, what is m GFE?
6.In the circle above, RV and SW are chords which intersect at point T.

If ST = 10 ft, TV = 20 ft, and TW = 30 ft, what is the length of RT?

Ответ:

sandyyknguyen2155

12.12.2020

Mathematics

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The question is incomplete missing the attached figure.

The correct answer option 2 ⇒ (x + 16)° + (6x − 4)° = 180°

Step-by-step explanation:

The measure of ∠PQR can be measured by the property of inscribed quadrilateral.

In an inscribed quadrilateral the opposite angles are supplementary.

Which mean that:

∠O + ∠Q = 180° ⇒ (1)

∠R + ∠P = 180° ⇒ (2)

Given that: ∠O = x+16  , ∠Q = 6x-4   ,   ∠R = 2x+16

Using (1) to find ∠Q

∴ (x+16)° + (6x-4)° = 180°

So, The answer is option 2 ⇒ (x + 16)° + (6x − 4)° = 180°

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