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2 years ago

The measure of arc QS is (4x – 18)°. What is the value of x? 40. 5 49. 5 94. 5 180.

Mathematics

1 answer:

postnew [5]2 years ago

7 0

The measure of the value of x is 49.5 degrees, the correct option is B.

Given

The measure of arc QS is (4x – 18)°.

<h3>The measure of arc</h3>

Arc QS is a semicircle and hence subtended angle by semicircle at the center is 180 degrees.

The measure of the arc QS is (4x – 18)° is equal to 180 degrees.

Then,

The value of x is;

$\rm 4x-18=180\\\\4x=180+18\\\\4x=198\\\\x=\dfrac{198}{4}\\\\x=49.5$

Hence, the measure of the value of x is 49.5 degrees.

To know more about arc click the link given below.

brainly.com/question/4024774

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Line l is the perpendicular bisector of AB. What is the perimeter of ABC

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Answer:

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Step-by-step explanation:

because l bisects AB:

3y+1 = 5y-5

reduce:

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and:

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reduce:

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substitute for y

AB = 8(3)-4

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Perimeter = (2x+4) + (4x-12) + 20

reduce:

perimeter = 6x+12

substitute for x:

Perimeter =6(8)+12

reduce:

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A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than

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Answer:

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Step-by-step explanation:

Complete question

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.

1. What is the null hypothesis?

2. What is the alternative hypothesis?

Solution :

The null hypothesis is basically the problem statement that needs to be tested.

Alternate hypothesis is opposite of that of null hypothesis

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b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

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3 years ago

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$\large{ \tt{❃ \: EXPLANATION}} :$

You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.