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Ratling [72]
2 years ago
12

Find the missing angle measure, arc measure or solve for x. Show all work!

Mathematics
1 answer:
n200080 [17]2 years ago
5 0

Answer:

mYW = 151°

Step-by-step explanation:

∠XWY is an inscribed angle because it has a vertex on the circle. This means that m∠XWY is half of the arc it intercepts, which is XY. We can model the situation using an equation:

m∠XWY = mXY / 2

37° = mXY / 2

mXY = 74°

All arcs in a circle add up to 360°. Because of this, we can say:

mXY + mYW + mWX = 360°

74° + mYW + 135° = 360°

209° + mYW = 360°

mYW = 151°

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3/6

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If b = 3, then 3x + y = 1 and bx - y = 3 are parallel.<br> True or <br> False ...?
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To make sure you can check it using : </span>y=-3x+1&#10;&#10;y=3x-3 Hope now it's obvious. Regards!
4 0
3 years ago
Use the given values of n to generate the 7th and 8th terms of the sequence.
lozanna [386]

Answer:

f(n) = 74 + 11(n - 1)

<u>For the 7th term</u>

n = 7

f(7) = 74 + 11(7 - 1)

= 74 + 11(6)

= 74 + 66

<h2>= 140</h2>

<u>For</u><u> </u><u>the</u><u> </u><u>8</u><u>t</u><u>h</u><u> </u><u>ter</u><u>m</u>

n = 8

f(8) = 74 + 11( 8 - 1)

= 74 + 11(7)

= 74 + 77

<h2 /><h2>= 151</h2>

Hope this helps you

7 0
3 years ago
There is a balcony that forms part of a circle around a stage, and they need to put up a safety railing. How long of a railing d
alexandr1967 [171]

A sector is a <u>part</u> of a <u>circle</u> that is formed by two<em> radii,</em> and an <em>arc</em>. So that the length of the <em>safety railing</em> required is 31.4 feet.

A sector is a <em>part </em>of a <u>circle</u> that is formed by two <u>radii</u>, and an <u>arc</u>, thus forming a <em>central</em> angle.

Thus the required <em>length</em> of safety railing can be considered as the <u>arc</u> of the<em> sector. </em>

So that;

<u>length</u> of an <u>arc</u> = (θ / 360^{o}) * 2\pir

where θ is the <u>measure</u> of the <em>central angle</em> of the sector, and r is the <u>radius</u> of the sector.

From the given question, θ = 45°, and r = 40 feet.

So that,

<u>length</u> of the<em> safety railing </em>= (45° / 360^{o}) * 2 * 3.14 * 40

                                 = 0.125 * 2* 3.14* 40

<u>length</u> of <em>safety railing</em> = 31.4

Therefore, the <u>length</u> of the <em>safety railing</em> required is 31.4 feet.

For more clarifications on the length of an arc, visit: brainly.com/question/2005046

#SPJ1

6 0
1 year ago
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