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Dafna11 [192]
3 years ago
7

Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 16. Sector X Y Z of the minor angle is shaded.

Mathematics
2 answers:
yan [13]3 years ago
7 0

We can solve for the area of the sector using the formula [ A = 1/2 * r² * θ]. Note that θ equals the measure for the central angle which 3π/4

A = 1/2 * 16² * 3π/4

A = 1/2 * 256 * 3π/4

A = 128 * 3π/4

A = 3π128/4

A = 384π/4

A = 96π

Best of Luck!

GrogVix [38]3 years ago
3 0

Answer:

96pi units²

Step-by-step explanation:

Area of sector = ½ × r² × theta

½ × 16² × (3pi/4)

96pi units²

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Step-by-step explanation:

General equation of slope intercept form : y-y_1=m(x-x_1)

We are supposed to find equations in slope-intercept form for three different lines that intersect at (–2, 3).

(x_1,y_1)=(-2,3)

Substitute the value in the general equation

y-3=m(x+2)

Now substitute any 3 values of m

At m = -1

\Rightarrow y-3=-x-2 \\\Rightarrow y=-x+1

At m =0

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At m =1

\Rightarrow y-3=x+2 \\\Rightarrow y=x+5

They all intersect at the given point.

So, equations in slope-intercept form for three different lines that intersect at (–2, 3) are y=-x+1  ,  y=3  and y=x+5

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

\huge\boxed{130 \textdegree}

Step-by-step explanation:

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We know that all angle in a triangle will add up to 180°. Since we know the measure of 2, we can find the other angle easily.

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So the other angle in the triangle is 50°.

2. The 50° angle and the missing angle are supplementary.

We know that the missing angle and the third triangle angle are supplementary. This means that their angle measures will add up to 180°.

Since we know one, we can find the measure of the other.

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So the missing angle is 130°.

Hope this helped!

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