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siniylev [52]
3 years ago
10

Please Help!

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

<u>Given</u>:

Given that O is the center of the circle.

The lines XZ and YZ are the tangents of the circle.

The length of the major arc XY is a.

The length of the minor arc XY is b.

We need to determine the equation that is correct regarding the diagram.

<u>Equation:</u>

Since, we know the property, that "if the measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside the circle is equal to half the difference of the measures of the intercepted arcs."

Hence, applying the property, we get;

m\angle XZY=\frac{major \ arc \ XY - minor \ arc \ XY}{2}

Substituting the values, we get;

m\angle XZY=\frac{1}{2}(a-b)

Therefore, the equation that is correct regarding the given diagram is m\angle XZY=\frac{1}{2}(a-b)

Hence, Option b is the correct answer.

Andreyy893 years ago
3 0

Answer:

B) m∠XZY = One-half(a – b)

Step-by-step explanation:

Angles XOY and XZY add up to 180

b + XZY = 180

b = 180 - XZY

a + b = 360

½(a + b) = 180

b = ½(a + b) - XZY

XZY = ½(a + b) - b

XZY = ½a - ½b

XZY = ½(a - b)

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6 0
2 years ago
Can anyone please help, ;_;
BlackZzzverrR [31]

It was hard to figure this put but I'll just a take an educated guess and say that the answer is 10%.

7 0
3 years ago
If the slope is 2 and the line goes through (3,-3) what is the equation?
motikmotik

Answer:

y = 2x -9

Step-by-step explanation:

To find the equation of a line using slope and a point, first use the slope to create the basic line using the slope and work from there.

For instance, the base equation here is

y = 2x

This line passes through the point (0, 0).

You can then plug in a value for x. In this case, use the value of 3, as it corresponds with your question.

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A point on the line of y = 2x would thus be (3, 6).

To make the y-value equal -3, you must then subtract from the original equation. There are 9 units between 6 and -3, so you must subtract nine units in the equation. You should get this at the end:

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6 0
3 years ago
if any one can help me that would be awesome 1. − 8 = 5 b − 3 b 2. k − 8 + 6 k = 20 3. 723. 4. 6 ( 3 + 3 x ) = 72 364. 5 ( m + 4
Morgarella [4.7K]

Answer:

1)b=-4

2)k=4

3)can u explain what #3 and 4 say

4)?

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Step-by-step explanation:

5 0
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A boy walks 6 km from a point P to a point Q on a bearing of 065. He then walks to a point R at a distance of 13 km on a bearing
Usimov [2.4K]

9514 1404 393

Answer:

  1. see below for a sketch
  2. 12 km

Step-by-step explanation:

The distance can be calculated using the Law of Cosines. The angle internal to the triangle at Q is (180°-(146° -65°)) = 99°. Then the distance PR can be found from ...

  PR² = PQ² +QR² -2·PQ·QR·cos(∠PQR)

  PR² = 6² +10² -2·6·10·cos(99°) ≈ 154.77

  PR ≈ √154.77 ≈ 12.44 . . . . km

The distance PR is about 12 km.

6 0
3 years ago
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