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3 years ago

11

Find the distance between the points given. (-3, -6) and (3, 2)

1 answer:

vlada-n [284]3 years ago

5 0

Answer:

10 units

Step-by-step explanation:

Moving from (-3, -6) to (3, 2), x increases by 6. Draw a triangle and use this 6 as the length of the base. y increases by 8. Label the height of the triangle with this 8. Then find the hypotenuse (which is also the desired distance) by using the Pythagorean Theorem:

6^2 + 8^2 = d^2, where d is that distance:

36 + 64 = 100 = d^2, and so d = 10. The distance in question is 10 units.

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The measure of angle P is five less than four times the measure of angle Q. Of angle P and angle Q are supplementary angles, fin

Andru [333]

Answer:

m∠P=140°

Step-by-step explanation:

Given:

∠P and ∠Q are supplementary angles.

The measure of angle P is five less than four times the measure of angle Q.

To find m∠P

Solution:

The measure of angle P can be given as:

A) $m\angle P=4(m\angle Q-5)$

And

B) $m\angle P+ m\angle Q=180$ [Definition of supplementary angles]

Substituting equation A into B.

$4(m\angle Q-5)+ m\angle Q=180$

Solving for $m\angle Q$

Using distribution:

$4m\angle Q-20+ m\angle Q=180$

Simplifying by combining like terms.

$5m\angle Q-20=180$

Adding 20 to both sides.

$5m\angle Q-20+20=180+20$

$5m\angle Q=200$

Dividing both sides by 5.

$\frac{5m\angle Q}{5}=\frac{200}{5}$

$m\angle Q=40$

Substituting $m\angle Q=40$ in equation B.

$m\angle P+ 40=180$

Subtracting both sides by 40.

$m\angle P+ 40-40=180-40$

$m\angle P=140$

Thus, we have:

m∠P=140° (Answer)

7 0

3 years ago

Write a three digit number that is divisible by 6<br>

FinnZ [79.3K]

Answer:150

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

if the hypotenuse of a special triangle of 45 45 90 was 10 radical 6 how would u solve for the hypotenuse

Vinvika [58]

Just do it it’s quite easy

3 0

3 years ago

Marilyn lives 3.5 block from the library. She leaves the library and walks 3.5

fenix001 [56]

Answer:

3.5 blocks.

Step-by-step explanation:

After walking 3.5 blocks back she is back at her starting point.

7 0

3 years ago

A box of popcorn weighs 15/16 pounds the box contains 1/3 butter popcorn and 2/3popcorn how much is a cheesy popcorn weigh

lyudmila [28]

Total weight of box of popcorn =15/16 pounds.

We are given two types of popcorns are there, butter popcorns and cheesy popcorns.

Butter popcorn is the one third of the total weight = 1/3 of Total weight

Plugging value of total wight, we get

= 1/3 * 15/16 = 5/16 pounds.

Cheesy popcorn = 2/3 of Total weight

Plugging value of total wight, we get

= 2/3 * 15/16 = 10/16 or 5/8 pounds.

Therefore, cheesy popcorn weigh is 5/8 pounds.

4 0

3 years ago