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Keith_Richards [23]
3 years ago
7

Find the value of Z in the picture

Mathematics
2 answers:
vivado [14]3 years ago
7 0

Answer:

172°

Step-by-step explanation:

Connect the center of the circle with two endpoints of the chord. You'll get the isosceles triangle with the angles adjacent to the base of

94^{\circ}-90^{\circ}=4^{\circ}

Then the angle between two congruent sided (two radii of the circle) is

180^{\circ}-2\cdot 4^{\circ}=172^{\circ}

This angle is central angle subtended on the arc z, so the measure of z is 172°.

stepan [7]3 years ago
7 0

Answer: OPTION B.

Step-by-step explanation:

It is important to remember that:

Tangent\ chord\ angle=\frac{1}{2}(Intercepted\ arc)

We can identify in the figure that 94° is the measure of a tangent chord angle. Then, we can find "x":

94\°=\frac{1}{2}x\\\\(2)(94\°)=x\\\\x=188\°

Since there are 360° in a circle, we can subtract 360° and the value of "x" to find the value of "z". Then we get:

z=360\°-x\\\\z=360\°-188\°\\\\z=172\°

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Use the figure to the right to find the value of PT. T is the midpoint of PQ.
Monica [59]

Answer:

PQ = 42

Step-by-step explanation:

Given

PT = 3x + 3

TQ = 5x - 9

Midpoint, T

Required

Determine PT

First, the value of x has to be calculated;

Since T is the midpoint, then:

PT = TQ

This implies

3x + 3 = 5x - 9

Solve for x

3x - 5x = -3 - 9

-2x = -12

x = -12/-2

x = 6

Length PQ can then be calculated using:

PQ = PT + TQ

PQ = 3x +3 + 5x -9

Collect Like Terms

PQ = 3x+ 5x +3  -9

PQ = 8x -6

Substitute 6 for x

PQ = 8 * 6 - 6

PQ = 48 - 6

PQ = 42

6 0
3 years ago
A circular pool with a 10 foot diameter is surrounded by a deck. What is the area of the deck which surrounds the pool? use 3.14
zavuch27 [327]

Answer:

146.5 sq. feet.

Step-by-step explanation:

Area of the deck = Large Square (with 15 ft side) - Circular Pool (with radius 10/2=5)

Large Square area = s^2=(15)^2=225

Circular Pool area = \pi r^2=\pi (5)^2=\pi (25)\\=25(3.14)\\=78.5

Thus, area of deck surrounding pool = 225-78.5=146.5 sq. feet

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lutik1710 [3]

Answer:

1/2

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Step-by-step explanation:

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We are asked to find the probability that our spinner will land on blue or yellow so we do (blue+yellow)/all = (2+2)/8=4/8=1/2.

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Answer:

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MArishka [77]

Answer:

60

Step-by-step explanation:

15*4 = 60

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3 years ago
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