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Yanka [14]
3 years ago
7

Given: circle k (O) , m

Mathematics
2 answers:
bixtya [17]3 years ago
6 0

Answer:

YL=130 (PWP)

m<YPL=65 (Inscribed < th)

Step-by-step explanation:

Snezhnost [94]3 years ago
4 0

Answer:

m\angle YPL=65^{\circ}

Step-by-step explanation:

We have been given an image of a circle and we are asked to find the measure of angle YPL.

Since the degree measure of circumference of a circle is 360 degrees, so we can set an equation to find the measure of arc LY as:  

m\widehat{LY}+m\widehat{PL}+m\widehat{PY}=360^{\circ}

Upon substituting our given values in above equation we will get,

m\widehat{LY}+80^{\circ}+150^{\circ}=360^{\circ}

m\widehat{LY}+230^{\circ}-230^{\circ}=360^{\circ}-230^{\circ}

m\widehat{LY}=130^{\circ}

We can see that angle YPL is inscribed angle of arc LY, so the measure of angle YPL will be half the measure of arc LY.

m\angle YPL=\frac{1}{2}m\widehat{LY}

m\angle YPL=\frac{1}{2}\times130^{\circ}

m\angle YPL=65^{\circ}

Therefore, the measure of angle YPL is 65 degrees.

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KIM [24]
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3 years ago
One-Half the difference of a number and 15
slega [8]

Answer:

x - 15 ÷ 2

Step-by-step explanation:

Since it wants you to find the half of your answer after you find the difference, be sure to leave the two at the end of your equation. With that said, let's move into finding out what "the difference of a number and fifteen is". Whenever they tell you 'a number', it means they want you to put a variable, such as x, since you do not know the number and it could be any number. Now, the "difference" of something usually means...you guessed it, subtraction! Now that you've decoded your equation, you now know it means that x - 15 is the first part, and you can now put the one half right after it.

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5 0
4 years ago
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Likurg_2 [28]

Answer: B. 0 ≤ x ≤ 4

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3 years ago
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ankoles [38]

Answer:

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Step-by-step explanation:

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3 years ago
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