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2 years ago

I need help with my homework

Mathematics

1 answer:

maxonik [38]2 years ago

4 0

Answer:

The measure of the arc RQ is 160°

Step-by-step explanation:

<em>In any circle, the measure of the subtended arc of an inscribed angle is twice the measure of this inscribed angle</em>

<em>The measure of any circle is 360°</em>

Let us use these rules to solve the question

In the given figure

∵ ∠RPQ is an inscribed angle subtended by arc RQ

∴ m of arc RQ = 2 × m∠RPQ

∴ m∠RPQ = 5x + 15

∴ m of arc RQ = 2 × (5x + 15)

→ Multiply the bracket by 2

∴ m of arc RQ = 2(5x) + 2(15)

∴ m of arc RQ = 10x + 30

∵ The measure of the circle = 360°

∵ The sum of the measures of arcs RQ, QP, and PR equals the measure

of the circle

∵ m of arc QP = 6x - 12

∵ m of arc PR = 9x + 17

→ Add them and equate the sum by 360°

∴ 10x + 30 + 6x - 12 + 9x + 17 = 360

→ Add the like terms in the left side

∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360

∴ 25x + 35 = 360

→ Subtract 35 from both sides

∴ 25x = 325

→ Divide both sides by 25 to find x

∴ x = 13

→ To find the measure of arc RQ substitute x by 13 in its measure

∵ m of arc RQ = 10(13) + 30 = 130 + 30

∴ m of arc RQ = 160°

∴ The measure of the arc RQ is 160°

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Answer:

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Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph

(x1, y1) = (2,60)
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The standard form of a linear equation is:

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We know the slope of the function can be found as following:

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Step-by-step explanation:

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A ship sails 250km due North qnd then 150km on a bearing of 075°.1)How far North is the ship now? 2)How far East is the ship now

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The answers to the bearing problems are listed below:

How far North is the ship now ___________ 38.82 km
How far East is the ship now ____________ 144.89 km
How far is the ship from its starting point_____241.48 km
On what bearing is it now from its original position____035°

<h3>Meaning of bearing.</h3>

Bearing can defined as branch of mathematics that describes the accurate location of an object at any point in time.

<h3>Analysis</h3>

The answers to the problem from 1-3 can be gotten by using sin and cos to find the missing sides.

The final value can be gotten using the cosine rule

4). bearing from original position = $cos^{-1}$ ( $a^{2}$ + $b^{2}$ ﹣ $c^{2}$ ) / $2ab$ = 35°

In conclusion, the answers for each is given in the list above.

Learn more about Bearing: brainly.com/question/24142612

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