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3 years ago

If ∠1 = 3x, ∠2 = 5x + 18, and s ⊥ r, find m∠1.

Mathematics

2 answers:

Bingel [31]3 years ago

7 0

I hope it will help you.

marysya [2.9K]3 years ago

7 0

Answer:

x = 9

Step-by-step explanation:

angle <1 and angle <2 is complementary and their sum is 90 degrees

3x + 5x + 18 = 90 add like terms

8x + 18 = 90 subtract 18 from both sides

8x = 72 divide both sides by 8

x = 9 to find the measure of angle <1 replace x with the value we found

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Read 2 more answers

Write the equation of the line that passes through the points

sesenic [268]

Answer:

$y+5=2(x-3)$ or $y+9=2(x-1)$

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

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substitute the values

$m=\frac{-9+5}{1-3}$

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step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

Analyze two cases

<em>First case</em>

we have

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$point\ (3,-5)$

substitute

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<em>Second case</em>

we have

$m=2$

$point\ (1,-9)$

substitute

$y+9=2(x-1)$

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

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3 years ago

one bucket of gravel has a mass of 7.05 kilograms. what is the mass for 20 buckets of gravel in kilograms

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Answer:

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Step-by-step explanation:

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