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3 years ago

When constructing a perpendicular bisector, why must the compass opening be greater the 1/2 than the length of the segment?

Mathematics

1 answer:

Alex787 [66]3 years ago

8 0

Answer.

It is Important to open the compass more than half the length so that the arcs made would meet.

Explanation.

When you want to construct a perpendicular line to a line segment, say line AB, the follow steps are taken;

1) Open your compass to a radius greater than half the line AB.

2) With A as your center make an arc on top and below line AB.

3) Using the same radius and with B as our center, make other arcs on top and below line AB to meet the first arcs on both sides of the line.

4) Join the two intersection of the two arcs to cut line AB at M.

In so doing the line AB is said to be bisected perpendicularly. If the compass was opened less than half line AB, then the arcs could not have meet.

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Which equation represents a direct variation

Mazyrski [523]

Direct variation is is when the x and y a direct relation

without constants added or subtracted

With being times by each other

so the only one that meets the definite is the first one

y = 0.5x means y is equal to half of x. So you know that every y is directly related to half of x

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3 years ago

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What is the value of n?

bogdanovich [222]

Answer:

Step-by-step explanation:

Look at the picture.

We know: Angles on one side of a straight line always add to 180°.

Therefore:

$\alpha=180^o-142^o=38^o\\\\\beta=180^o-133^o=47^o$

We know: the sum of the measures of the angles of the triangle is equal to 180 °.

Therefore:

$\gamma+47^o+38^o=180^o$

$\gamma+85^o=180^o$ <em>subtract 85° from both sides</em>

$\gamma=95^o$

$n^o+95^o=180^o\to n^o=180^o-95^o=85^o$

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2 years ago

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Is 7.29 a rational number?

ExtremeBDS [4]

Answer:

Yes

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction. In this case, the fraction is being expressed by a decimal. So therefore 7.29 is a rational number.

Hope This Helps :)

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3 years ago

In this figure m<3=130 <br> What is m<6 ?

Georgia [21]

Answer: $m\angle6=50\°$

Step-by-step explanation:

You can observe in the figure two parallel lines that are intersected by a transversal and several angles are formed.

The angles m∠3 and m∠6 are located inside the parallel lines and on one side of the transversal, this angles are known as "Consecutive interior angles" and they are supplementary (which means that they add up 180°).

Therefore, you know that:

$m\angle3+m\angle6=180\°$

So you can substitute m∠3=130° and solve for m∠6. Then you get:

$130\°+m\angle6=180\°\\m\angle6=180\°-130\°\\m\angle6=50\°$

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3 years ago

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At the state fair 4 employees were paid $8.20 an hour to work at a corn-dog stand. They worked for 10 hours at regular pay and t

Katen [24]

Answer:

<u>The four employees earned $ 452.80 in total</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Hour rate = $ 8.20

Overtime hour rate = $ 2.20 extra

Regular hours = 10

Overtime hours = 3

Number of employees = 4

2. How much money did they earn in total?

Let's find out the individual pay for an employee and then we'll calculate the pay for the 4 employees:

Individual pay = 10 * 8.20 + 3 * 10.40

Individual pay = $ 113.20

Total pay = Individual pay * 4

Total pay = 113.20 * 4

<u>Total pay = $ 452.80 </u>

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2 years ago