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3 years ago

Given: Measure of arc AB = measure of arc BC,

Mathematics

1 answer:

emmasim [6.3K]3 years ago

6 0

9514 1404 393

Answer:

100°

Step-by-step explanation:

The relevant relation for angle x is ...

x = (AB +DE)/2

and for angle y, it is ...

y =(AC -DE)/2

Using the second relation to write an expression for DE, we have ...

DE = AC -2y

In the first equation, this lets us write ...

x = (AB +(AC -2y))/2 = (AB +(2AB -2y))/2

2x = 3AB-2y . . . . . . . . . . . . . . multiply by 2

(2x +2y)/3 = AB = AC/2 . . . . . add 2y; divide by 3

AC = (4/3)(x +y) = (4/3)(60° +15°) . . . . multiply by 2, substitute known values

AC = 100°

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3 years ago

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3 years ago

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3 years ago

Matthew scored a total of 168 points in basketball this season. He scored 147 of those in the regular season, and and the rest w

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Answer:

12.5%

Step-by-step explanation:

Step1. Determine the points Matthew had during playoff by subtracting points made during regular season from total points in season.

168 points this season

- <u>147 points regular season </u>

21 points scored in playoff

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3 years ago

The mapping diagram shows a functional relationship

Gre4nikov [31]

Answer:

$f(4)=\frac{1}{2}$

f(x) = 4 when x is 8

Step-by-step explanation:

Domain is the set of x values that make the function defined. Allowed x values for the function (mapping).

The Range is the set of y values that make the function defined. Allowed y values for the function (mapping).

Whenever we need to find f(a), suppose, then we look for "a" in the domain and see its corresponding value mapping in the range.
Whenever we will be given a value for f(x) = a, suppose, and we have to find "x", we look at the value a in the range and find corresponding x value in the domain.

Firstly, we need f(4), so we look for "4" in domain and see which number it corresponds to in range.

That is $\frac{1}{2}$

Thus,

$f(4)=\frac{1}{2}$

Next,

We want "x" value that gives us a "y" value of 4. We look for "4" in the range and see which value it corresponds to. That is "8". So,

f(8) = 4

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3 years ago