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Cloud [144]
2 years ago
7

Can anyone help me with this

Mathematics
1 answer:
belka [17]2 years ago
4 0

Answer:

  47.2°

Step-by-step explanation:

Triangles PRQ and SRQ are congruent by HL. In these right triangles, the acute angles are complementary.

angle PRQ  = angle SRQ = 90° -42.8° = 47.2°

The measure of angle PRQ is 47.2°.

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Write an equation in point slope form for the line that passes through the given point and is perpendicular to the graph of the
USPshnik [31]

Answer:

y=-3x-8

Step-by-step explanation:

y=1/3x+9

slope is 1/3

perpendicular slope = m

(m)(1/3) = -1

m = -3

Point slope form

(y+2)/(x+2)=-3

y+2=-3x-6

y=-3x-8

4 0
3 years ago
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l
Papessa [141]

2l + 2w = 16

2(l + w) = 16

l + w = 8

Lengths could be any numbers greater than 0 and less than 8

0 < l < 8

5 0
3 years ago
Read 2 more answers
Please I need help!
Monica [59]

Answer:

1)

\text{ Slope = -3}

2)

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

3)

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.

1)

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

2)

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)

3)

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
3 years ago
Read 2 more answers
Mrs. Lynch has noted that 7 out of every 10 pieces of mail she gets are junk mail. What percent of her mail is junk?
ikadub [295]
The answer to this question is 70%
6 0
3 years ago
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Rebecca filled 28 glasses with orange juice for a camp breakfast. if each glass holds 1 cup of juice, how many quarts of orange
Art [367]

The number of quarts of orange juice did Rebecca use is 7

Given that 28 glasses with orange juice are filled for a camp breakfast

Each glass holds 1 cup of juice

We need to find the number of quarts of orange juice did Rebecca use  

We know that a quarts has 4 cups

We need to calculate the quarts from 28 glasses  

Let the number of the quarts be x

So the equation formed is

4x = 28

Where x is number of quarts and 28 are the number of glasses

x = 7

Hence the number of quarts is 7

Learn more about Logical reasoning here

brainly.com/question/14458200

#SPJ4

7 0
2 years ago
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