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Sergio [31]
3 years ago
12

A radio station had 78 tickets to a concert. They gave away 2 times as many tickets to listeners as to employees. How many ticke

ts did they give away to employees?
A.
28
B.
2
C.
26
D.
3
Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

26

Step-by-step explanation:

We assume they gave away all 78 tickets.

They gave away x tickets to employees.

Then the number of tickets they gave to listeners is 2x.

Altogether they gave away x + 2x = 3x tickets.

They gave away 78 tickets, so we get the equation

3x = 78

3x/3 = 78/3

x = 26

Answer: 26

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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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Answer:

(A) A scatter plot is used to determine if the linear model is appropriate.

(B) A linear model estimates the value of the dependent variables.

Step-by-step explanation:

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(A)

The <em>R</em> squared value is a statistic that is used to determine the proportion of variation in the dependent variable that can be explained by the independent variables.

<em>R</em> squared value of 93% indicates that 93% variation in the Wingspan is explained y the bird's height when perched.

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Answer:

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Step-by-step explanation:

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