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eimsori [14]
3 years ago
7

How to do the problem and get a solution

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

Answer:

x = 9√3

y = 18

Step-by-step explanation:

Given the angle measures and given length of the triangle, we can see that this is a 30-60-90 triangle which means the angle measures are 30°, 60° and 90°.  A 30-60-90 triangle has special side lengths as indicated in the diagram below.  Since the length given is across from the 30° angle, then x = 9.

In this diagram, x = x√3 or 9√3 and y = 2x or 9(2) = 18.

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In the diagram below, XY and YZ are tangent to O which expression gives the measure of XYZ?
icang [17]

The solution of this question will make use of the Two Tangents from Point Theorem which states that "the measure of an angle formed by two tangents drawn from a point outside the circle is half the the difference of the intercepted arcs".


We can also see that the measure of arcs are: \overarc{XWZ}=245^{\circ} and\overarc{XZ}=115^{\circ}

Thus, as per the theorem, the measure of the \angle XYZ can be calculated as:

m\angle XYZ=\frac{1}{2}(\overarc{XWZ}- \overarc{XZ})

Therefore, we get:

m\angle XYZ=\frac{1}{2}(245^{\circ} -115^{\circ})

Thus, out of the given options, option B is the correct option.

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3 years ago
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This question is ambiguous. The time to count to 1 million could be more or less then 23 days. However, if someone counted to 1 million in 23 days nonstop, the interval between saying the next number would be 2 seconds.
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3 years ago
0.4 divided by 41 (help pls-
sasho [114]
102.5

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3 years ago
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Using the graph, determine the coordinates of the vertex of the parabola.
nadezda [96]

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Hello i need help with question 5 asap!!
sergeinik [125]

Answer:

  arc DB length = 14π feet

Step-by-step explanation:

Assuming point A is the center of the circle, arc DC has measure 180°. Arc DB has measure 40° less, so is 140°. Since you want this in terms of π, we need to convert the degree measure to radians. We do that by multiplying by (π/180) radians per degree:

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Now that we know the arc measure in radians, we can find the length of the arc. It is given by the formula ...

  s = rθ

where r represents the radius and θ is the measure of the arc in radians.

The arc length is ...

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Arc DB has a length of 14π feet.

4 0
4 years ago
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