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photoshop1234 [79]
2 years ago
15

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Mathematics
1 answer:
ANEK [815]2 years ago
4 0

The measure of m<CBD is 63 degrees

<h3>Circle Geometry</h3>

According to line geometry, the sum of angles on a straight line is expressed as:

arcCD + m<CBF = 180

Given that

arcCD= 5x + 3 and;

m<CBF = 11x - 15

Substitute

5x + 3 + 11x - 15 = 180

16x - 12 = 180

16x = 192

x = 12

Determine the measure of m<CBD

m<CBD = arc CD = 5x + 3

m<CBD = 5(12) + 3

m<CBD = 63 degrees

Hence the measure of m<CBD is 63 degrees

Learn more on circle geometry here; brainly.com/question/24375372

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Given quantity;

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
Alborosie
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4 years ago
Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse
Drupady [299]

Answer:

a'(d) = \frac{d}{5} + \frac{3}{5}

a(a'(d)) = a'(a(d)) = d

Step-by-step explanation:

Given

a(d) = 5d - 3

Solving (a): Write as inverse function

a(d) = 5d - 3

Represent a(d) as y

y = 5d - 3

Swap positions of d and y

d = 5y - 3

Make y the subject

5y = d + 3

y = \frac{d}{5} + \frac{3}{5}

Replace y with a'(d)

a'(d) = \frac{d}{5} + \frac{3}{5}

Prove that a(d) and a'(d) are inverse functions

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To do this, we prove that:

a(a'(d)) = a'(a(d)) = d

Solving for a(a'(d))

a(a'(d))  = a(\frac{d}{5} + \frac{3}{5})

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a(a'(d))  = \frac{5d}{5} + \frac{15}{5} - 3

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Solving for: a'(a(d))

a'(a(d)) = a'(5d - 3)

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a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}

Add fractions

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a'(a(d)) = d

Hence:

a(a'(d)) = a'(a(d)) = d

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