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3 years ago

What is the common angle of pqt and rsq

Mathematics

2 answers:

Travka [436]3 years ago

7 0

Are you at GACA?
If so the answers to the quick check are:

1. A
2. D
3. D
4. B
5. D

kenny6666 [7]3 years ago

5 0

I think the image you were referring to is this:
This image shows two triangles that intersect each other at a common angle. The two triangle are triangle PQT and triangle RSQ. Both triangles meet at a common angle, and that is angle Q, or in other words, angle PQR

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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo

nlexa [21]

Given:

Equation of line $7x-4y=-12$ .

To find:

The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

$7x-4y+12=0$

Slope of line is

$\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}$

$m_1=-\dfrac{7}{(-4)}$

$m_1=\dfrac{7}{4}$

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

$m_1m_2=-1$

$m_2=-\dfrac{1}{m_1}$

$m_2=-\dfrac{4}{7}$ $[\because m_1=\dfrac{7}{4}]$

Now, the slope of perpendicular line is $m_2=\dfrac{4}{7}$ and it goes through (-21,2). So, the equation of line is

$y-y_1=m_2(x-x_1)$

$y-2=-\dfrac{4}{7}(x-(-21))$

$y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)$

$y-2=-\dfrac{4}{7}x-12$

$y=-\dfrac{4}{7}x-12+2$

$y=-\dfrac{4}{7}x-10$

Therefore, the required equation in slope intercept form is $y=-\dfrac{4}{7}x-10$ .

7 0

3 years ago

Ms. Lee works at a pizzeria. She delivers an average of 3 pizza orders per hour. The pizzeria is offering a bonus to employees w

alexandr1967 [171]

Answer:

58 hours.

Which can also be 2days 10 hours.

Step-by-step explanation:

3 pizza orders = 1hour

200 deliveries per month= bonus

26 orders so far this month.

X= 200-26= 174

174 divided by 3 = 58 hours.

6 0

2 years ago

Find the slope of the line that passes through (3, 11) and (10, 6).

igomit [66]

Answer:

-5/7

Step-by-step explanation:

remember slope is eqaul to rise over run.

6-11 = -5 so it rose down by 5 units

10 - 3 = 7 so it ran 7 units

thus

slope= -5/7

5 0

2 years ago

Solve each inequality.<br> X+5 < 6 <br> Pls help

agasfer [191]

Answer:

x<1

Step-by-step explanation:

You would just subtract 5 from both sides of the equation. The sign does not flip because you are not multiplying or dividing any negative number across the sign. So simply x+5 (-5) < 6 (-5). On the left side the 5 would cancel out. on the other side 6-5 is equal to 1.

Answer: x<1

3 0

1 year ago

Read 2 more answers

Aubrey ran 13 1/6 miles and walked 9 5/6 miles. How much farther did Aubrey run than walk?

leonid [27]

Answer:

Aubrey ran 3 1/3 miles further than what she walked.

Step-by-step explanation:

This would be your basic subtraction problem. So, 13 1/6 - 9 5/6.

Since you can't subtract 5/6 from 1/6, let's borrow from 13. Now, instead of 13, it would be 12. Adding the whole (1) or 6/6 to the 1/6, you'll get 7/6. Now you can subtract. 7/6 - 5/6 = 2/6. Moving on, 12 - 9 = 3.

Therefore, your answer is 3 2/6. In simplified terms, it would be 3 1/3.

3 0

2 years ago