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alexandr1967 [171]
2 years ago
8

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

Mathematics
2 answers:
icang [17]2 years ago
8 0

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.

zvonat [6]2 years ago
5 0
The answer is for sure b.
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Answer:

subtract the number you have from the number you're going to. For example, if you were trying to figure out the distance between 6 and 18, you would subtract 6 from 18 which is 12. I hope this answers your question!

Step-by-step explanation:


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Step-by-step explanation:

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2 years ago
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luda_lava [24]

Answer:

(-6, 4)

Step-by-step explanation:

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3 years ago
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solmaris [256]

Answer:

The initial mass of the sample was 16 mg.

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P(t)=A(r)^t

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Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

\displaystyle P(t)=A\Big(\frac{1}{2}\Big)^{t/4}

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\displaystyle 2=A\Big(\frac{1}{2}\Big)^3

Simplify:

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Thus, the initial mass of the sample was:

A=16\text{ mg}

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