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3 years ago

100Points! show work

Mathematics

1 answer:

ozzi3 years ago

6 0

THEOREM:

Angle sum theorem —: The sum of the measures of the interior angles of a triangle is 180°.

ANSWER:

By angle sum property,

x + 43° + 73° + 70° = 180°
x + 186° = 180°
x = 180° – 186°
x = –6°

So, <u>Correct choice</u> - [C] –6.

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Use the algebra tiles to help you solve the equation 4x-12=16. What is the first step in solving the equation using algebra til

-BARSIC- [3]

Add 12 to 16 on the other side to make 4x = 28. Then divide 28 by 4, which equals 7. Solution is x = 7

8 0

3 years ago

Please I need help!

Monica [59]

Answer:

$\text{ Slope = -3}$

$y+4=-\frac{7}{8}(x-7)$

$y=-\frac{7}{8}x+\frac{17}{8}$

Step-by-step explanation:

We want to write the equation of the line that passes through the points (7, -4) and (-1, 3) first in point-slope form and then in slope-intercept form.

First and foremost, we will need to find the slope of the line. So, we can use the slope-formula:

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

Let (7, -4) be (x₁, y₁) and let (-1, 3) be (x₂, y₂). Substitute them into our slope formula. This yields:

$m=\frac{3-(-4)}{-1-7}$

Subtract. So, our slope is:

$m=\frac{7}{-8}=-7/8$

Now, let's use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute -7/8 for our slope m. We will also use the point (7, -4) and this will be our (x₁, y₁). So, substituting these values yield:

$y-(-4)=-\frac{7}{8}(x-7)$

Simplify. So, our point-slope equation is:

$y+4=-\frac{7}{8}(x-7)$

Finally, we want to convert this into slope-intercept form. So, let's solve for our y.

On the right, distribute:

$y+4=-\frac{7}{8}x+\frac{49}{8}$

Subtract 4 from both sides. Note that we can write 4 using a common denominator of 8, so 4 is 32/8. This yields:

$y=-\frac{7}{8}x+\frac{49}{8}-\frac{32}{8}$

Subtract. So, our slope-intercept equation is:

$y=-\frac{7}{8}x+\frac{17}{8}$

And we're done!

7 0

4 years ago

Read 2 more answers

A Swimming pool is in the shape of a rectangular prism. the pool is 5 ft deep. Its length is 3 times its width. The volume of th

Natasha2012 [34]

To solve for the width and the length of the pool, you will use the formula for finding the volume of a rectangular prism. You will represent the length and the width of the pool in terms of w, the width.

Please see the attached picture for the work.

The width of the pool is 20 feet.

The length of the pool is 3 x 20 ft or 60 feet.