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2 years ago

What is the measure of angle A?

Mathematics

1 answer:

fgiga [73]2 years ago

5 0

Answer:

∠A=65º

Step-by-step explanation:

A angle of a line is 180º, so we can say that angle ABC=(180-6x)º
The interior angkes of a triangle is 180º, so (x+40)º+(3x+10)º+(180-6x)º=180º
Remove parenthesis, x+40+3x+10+180-6x=180
Combine like terms, -2x+230=180
Subtract 180, -2x=-50
Divide by -2, so x=25

Now:

∠CAB=(25+40)º=65º
∠ABC=[180-6(25)]º=30º
∠BCA=[3(25)+10]=85º

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6) slope is 1, y-intercept is 3, equation in slope-intercept form:

$y=x+3$

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8) Slope = m= $\frac{2}{3}$

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Step-by-step explanation:

6) Create table of coordinate points:

x y

-2 1

-1 2

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1 4

2 5

Identify the slope:

Using formula:

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

Putting values:

$Slope=\frac{2-1}{-1-(-2)}$

$Slope=\frac{1}{-1+2}$

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$Slope=1$

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Identify y-intercept.

y-intercept is found when x=0, so, looking at the table when x = 0, y= 3 so, y-intercept is 3

Equation in the form: y=mx+b

here m is slope and b is y-intercept

Putting values:

$y=mx+b\\y=1x+3\\or\,\,y=x+3$

So, equation in slope-intercept form:

$y=x+3$

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Using formula:

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

Putting values:

$Slope=\frac{3-9}{-5-(3)}$

$Slope=\frac{-6}{-5-3}$

$Slope=\frac{-6}{-8}$

$Slope=\frac{3}{4}$

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$y=\frac{2}{3}x-4$

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The general equation of slope-intercept form is:

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Keywords: Equation of line using Slope

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following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

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