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frez [133]
3 years ago
11

Find the value of the variable in the triangle below. Round decimal answers to the nearest tenth.

Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

x = 7.5  

Step-by-step explanation:

This is a right angle triangle so the Pythagorean rule applies

The hypotenuse is opposite the right angle and it is also the longest side

Now, apply the Pythagorean rule

15^2 = 13^2 + x^2

225 = 169 + x^2

225 - 169 = x^2

56 = x^2

Take the square root of both sides

7.48 = x

x = 7.5        .........to the nearest tenth

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The equation in slope-intercept form is y = 13/8x -17/8 and the equation in standard form is 13x -8y = 17

<h3>Equation of a line</h3>

A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b while as a standard notation is Ax+By = C

Given the coordinate points (-3, -7) and (5, 6)

<u>Determine the slope</u>

Slope = 6-(-7)/5-(-3)

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<u>For the y-intercept</u>

6 = 13/8(5) + b

6 = 65/8 + b

b = 6 - 65/8

b = -17/8

The equation in slope-intercept form is y = 13/8x -17/8

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8y = 13x - 17

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13x -8y = 17

Hence the equation in standard form is 13x -8y = 17

Learn more on equation of a line here: brainly.com/question/13763238

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