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3 years ago

The question is in the picture please help

Mathematics

1 answer:

ahrayia [7]3 years ago

4 0

Answer:

Claim 2

Step-by-step explanation:

The Inscribed Angle Theorem* tells you ...

... ∠RPQ = 1/2·∠ROQ

The multiplication property of equality tells you that multiplying both sides of this equation by 2 does not change the equality relationship.

... 2·∠RPQ = ∠ROQ

The symmetric property of equality says you can rearrange this to ...

... ∠ROQ = 2·∠RPQ . . . . the measure of ∠ROQ is twice the measure of ∠RPQ

_____

* You can prove the Inscribed Angle Theorem by drawing diameter POX and considering the relationship of angles XOQ and OPQ. The same consideration should be applied to angles XOR and OPR. In each case, you find the former is twice the latter, so the sum of angles XOR and XOQ will be twice the sum of angles OPR and OPQ. That is, angle ROQ is twice angle RPQ.

You can get to the required relationship by considering the sum of angles in a triangle and the sum of linear angles. As a shortcut, you can use the fact that an external angle is the sum of opposite internal angles of a triangle. Of course, triangles OPQ and OPR are both isosceles.

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The difference between a number and 12 is 20

matrenka [14]

X + 12 = 20
x + 12 -12 = 20 -12
x = 8

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3 years ago

What is the value of x

Andru [333]

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3 years ago

What is the area of a rectangle with a dimension of 5 cm and 3/4 cm? PLEASE EXPLAIN AND I WILL MARK YOU BRAINLIEST.

wlad13 [49]

Answer:

3.75 cm^2

Step-by-step explanation:

Area of a rectangle = Length x Width.

If we are given that the length is 5 cm and width is 3/4 cm ( you could convert this to a 0.75 if you want to as well ) we can plug this in:

Area = 5 cm x 3/4 cm

Solving for Area we get:

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8 0

3 years ago

Read 2 more answers

A data set is normally distributed with a mean of 115 and a standard deviation of 23. What is the probability that a value in th

Alecsey [184]

Answer:

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

Step-by-step explanation:

Step(i):-

Given mean of the Population = 115

Given standard deviation of the Population = 23

Let 'x' be the random variable of normal distribution

Let x = 162

$Z = \frac{x-mean}{S.D} = \frac{162-115}{23}$

z = 2.043

Step(ii):-

The probability that a value in the data set is greater than or equal to 162

P(X>x) = P(Z>z) = P(Z> 2.043)

P(X≥162) = P(Z≥2.043) = 1-P(Z≤ 2.043)

= 1- ( 0.5 +A(2.043)

= 1-0.5 -A(2.043)

= 0.5 - 0.4793

= 0.0207

Final answer:-

The probability that a value in the data set is greater than or equal to 162

P(X≥162) = 0.0207

8 0

4 years ago

Your company is hosting a benefit 5 kilometer race How long will the race be to the nearest tenth of a mile?

8090 [49]

In this question the main part is to convert the kilometer to miles and then writing the answer to the nearest tenth of a mile. the information given in the question is that the race is for a distance of 5 kilometers.
Now we already know
1 km = 0.6214 mile
Then
5 km = ( 0.6214 * 5) miles
= 3.107 miles
= 3.11 miles
So the actual distance when converted to miles will be 3.11 miles. I hope this is the answer you were looking for. This is the simplest way for doing such problems and in future you can follow this method to find the answers without the need of any help.

4 0

4 years ago