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3 years ago

What is the answer?

Mathematics

1 answer:

Mrrafil [7]3 years ago

6 0

Answer:

53°

Step-by-step explanation:

The angle that measures 143 is vertical to the right angle and the ? angle.

Vertical angles have the same measure. <? + <90 = <143

So do 143 - 90 = 53

So the ? angle = 53

Hope this helps ya!!

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Answer:

(a) Side lengths

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(b) Slope

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Step-by-step explanation:

Given

$R = (2,3)$

$S = (4,4)$

$T = (5,0)\\$

Solving (a): Length of each side

This is calculated using distance formula

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

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$RS = \sqrt{(4 - 2)^2 + (4 - 3)^2}$

$RS = \sqrt{5}$

$ST = \sqrt{(5 - 4)^2 + (0- 4)^2}$

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$RT = \sqrt{(5 - 2)^2 + (0 - 3)^2}$

$RT = \sqrt{18}$

Solving (b): The slope of each side

This is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$RS = \frac{4- 3}{4- 2}$

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Solving (c): Classify the triangle

In (a), we have:

$RS = \sqrt{5}$

$ST = \sqrt{17}$

$RT = \sqrt{18}$

None of the sides are equal;

The triangle is scalene

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