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3 years ago

Given: m∠APC = 27°, m DC = 27° Find: m AB

Mathematics

2 answers:

Wittaler [7]3 years ago

6 0

Answer:

The unknown angle = 126°

Step-by-step explanation:

From angles in a triangle.

The total sum of angles in a triangle = 180°

Let the unknown angle be x

27 + 27 + x = 180

X = 180-27-27

X= 180-54

X = 126°

pychu [463]3 years ago

4 0

Answer: 81°

Step-by-step explanation:

m<p is a secant exterior angle which equals arcAB-arcDC divided by 2.

plug the numbers in and arcAB-27 / 2 =54 Arc AB is 27+54=81 degrees

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NISA [10]

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Step-by-step explanation:

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3 years ago

Given α and β are Supplementary. Show the necessary steps.

user100 [1]

Answer:

$\alpha = 108\degree, \: \beta = 72\degree$

Step-by-step explanation:

α and β are Supplementary (given)

$\therefore \alpha + \beta = 180\degree.... (1)$

It is given that:

$\alpha= \frac{3}{2} \beta$

Plugging the value of α in equation (1), we find:

$\frac{3}{2} \beta + \beta = 180\degree$

$\therefore \frac{3+2}{2} \beta = 180\degree$

$\therefore \frac{5}{2} \beta = 180\degree$

$\therefore \beta = 180\degree\times \frac{2}{5}$

$\therefore \beta = 72\degree$

$\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree$

So,

$\alpha = 108\degree, \: \beta = 72\degree$

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3 years ago

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3 years ago

What is the quotient of 6/7 and 3/14

lbvjy [14]

Answer:

6/7 divided by 3/14=4

Step-by-step explanation:

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Read 2 more answers

A rectangular box is 8 inches long,

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Answer:

Step-by-step explanation:

To find the volume of a rectangular box, multiply all its dimensions together.

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