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amm1812
3 years ago
6

∠3 and ∠6 are alternate interior angles. If m∠3 = 75, what is the measure of ∠6

Mathematics
1 answer:
sp2606 [1]3 years ago
7 0

Answer:

<h3>B. m<3 = m<6 = 75degrees</h3>

Step-by-step explanation:

First you must understand that in geometry, the alternate interior angles are equal

Hence if ∠3 and ∠6 are alternate interior angles, then <3 = <6

Given that m<3 = 75 degrees

m<6 will also be 75 degrees since both angles are equal

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Solve and graph the absolute value inequality: |2x + 4| &gt; 14.
Aloiza [94]

Answer:

"number line with open circles on negative 9 and 5, shading going in the opposite directions."

Step-by-step explanation:

Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.

|u|>14 means that the number u has to be greater than 14 or less than -14.  These numbers I describe just now all have a distance greater than 14 from 0.

So |u|>14 implies u>14 or u<-14.

But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.

2x+4>14

Subtract 4 on both sides:

2x    >10

Divide both sides by 2:

x      >5

2x+4<-14

Subtract 4 on both sides:

2x    <-18

Divide both sides by 2:

x      <-9

So our solution is x>5 or x<-9.

Graphing!

~~~~~~~O                                         O~~~~~~~~

-----------(-9)---------------------------------(5)---------------

So we shaded to the right of 5 because our inequality says x is bigger than 5.

We shaded to the left of -9 because our inequality says x is less than -9.

4 0
3 years ago
twice the sum of a number and 6 is equal to 3 times the difference of the number and 8. Find the number
Serhud [2]

In order to solve this problem, we must solve an equation.

First, we need to define our unknown.

Let's call our number "n".


So, the sum of the number and 6 is the same as saying n+6

Then we need to multiply it by 2 (since it's twice the sum)

2(n+6)

This whole thing is equal to three times of the difference of the number and 8

n-8 is equal to the difference between the number and 8, then we need to multiply it by three.

3(n-8)

now, we set both sides equal and solve

2(n+6)=3(n-8)\\2n+12=3(n-8)\\2n+12=3n-24\\12=n-24\\36=n

The number is 36

5 0
3 years ago
Based on the Egyptian Social Pyramid, which statement below is true?
Novosadov [1.4K]

Answer:

Third Option

Step-by-step explanation:

Lets use process of elimination to find the answer to this question. It's not the first option because a scribes job was mainly in the government district as writers/record keepers meaning they don't really protect the kingdom from invasion. It's not the second options because Merchants were traders, meaning they don't make up the Pharaohs police force because all they do is sell goods to Egyptians. Then it's not fourth option because farmers, servants, and slaves make up way more then 20% of ancient Egypt. Leaving the third option meaning it's your answer.

Hope this helps.

7 0
3 years ago
A frog is climbing out of a well that is 11 feet deep. The frog can climb 3 feet per hour but then it rests for an hour, during
Dimas [21]

Answer:

It takes the frog 7 hours to get out of the well.

Step-by-step explanation:

We know that the well is 11 feet deep and the frog can climb 3 feet per hour.

Each time it climbs, it rests for an hour, and decreases its height by 1 foot.

So, if the frog reaches 3 feet in the first hour, then in the next hour it is 2 feet.

Lets calculate with the same pattern:

1st hour: 3 feet

2nd hour: 3-1=2 feet

3rd hour: 2+3=5 feet

4th hour: 5-1=4 feet

5th hour: 4 +3= 7 feet

6th hour: 7-1=6 feet

5th hour: 6+3=9 feet

6th hour: 9-1=8 feet

7th hour:  8+3= 11 feet

Therefore, it takes the frog 7 hours to get out of the well.

4 0
3 years ago
Can someone plz help ASAP -5+30&lt;-10
Zigmanuir [339]

Answer:

This is False

Step-by-step explanation:

-5+30<-10

False

6 0
3 years ago
Read 2 more answers
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