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Alona [7]
2 years ago
10

is this a alternate interior angle, corresponding angle, vertical angle, supplementary angle or linear pair?

Mathematics
2 answers:
Liula [17]2 years ago
7 0
It is Vertical Angle
Vika [28.1K]2 years ago
4 0
That’s a vertical angle
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19. The population of Jose's town in 1995 was 2400 and the population in 2000 was
Fantom [35]

The linear equation in slope intercept form for population of Jose's town is y = 320x + 2400.

<u>Solution:</u>

Given, the population of Jose's town in 1995 was 2400 and the population in 2000 was 4000,  

Let x represent the number of years since 1995.  

We have to write a linear equation, in slope- intercept form, that represents this data.

Now, let the change in population per year be p.

Then, population in a year = population change per year \times number of years + population in 1995.

⇒population in a year = p\times x + population in 1995

⇒ population in a year = p \times x + 2400

Here we have an case that, population in 2000 is 4000  

Then, number of years since 1995 = 5  

So, 4000 = p \times 5 + 2400 ⇒ 5p = 4000 – 2400 ⇒ 5p = 1600 ⇒ p = 320

Then, our equation will be population in a year = 320x + 2400  

Considering the population in a year as y ⇒ y = 320x + 2400.

Hence, the linear equation in slope intercept form is y = 320x + 2400.

5 0
3 years ago
two brothers marco and fernando are training for a marathon marco runs at a rate of 6miles per hor. Fernando funs at at a rate o
satela [25.4K]
We know that
speed=distance/time
solve for time
time=distance/speed

in this problem
<span>Marco runs at a rate of 6 miles per hour. 
</span><span>Fernando funs at a rate of 7.2 miles per hour
Difference=7.2-6=1.2 miles/hour
so
speed=1.2 miles/hour
distance=0.3 miles
time=?
</span>time=distance/speed-----> 0.3/1.2-----> 0.25 hour-----> 0.25*60=15 minutes
<span>
the answer is
0.25 hour (15 minutes)

Alternative Method
Let 
x---------> Fernando's distance when Marco is 0.3 miles apart

</span>Fernando funs at a rate of 7.2 miles per hour
<span>for distance =x
time=x/7.2------> equation 1

</span>Marco runs at a rate of 6 miles per hour. 
for distance=x-0.30
time=(x-0.30)/6------> equation 2

equate equation 1 and equation 2
 7.2*(x-0.3)=6x-----> 7.2x-2.16=6x
7.2x-6x=2.16------> x=2.16/1.2-------> x=1.8 miles

time=x/7.2-----1.8/7.2=0.25 hour
6 0
3 years ago
Simplify the following leave the answer in radical notation:
Nataliya [291]

Answer:

1- 5xy³√5y

2- 2xy²∛3y²

Step-by-step explanation:

√125x²y^7=

√25*5x²y^6y

5xy³√5y

2) ∛24x³y^8=

∛2³*3x³y^8=

2xy²∛3y²

7 0
3 years ago
The average speed of one team in a relay race is about 10 miles per hour. What is the speed in feet per second?
ki77a [65]

10 miles per second in feet per second is 14.67 feet per second

Step-by-step explanation:

The average speed of one team in a relay race = 10 miles per hour.

We need to find the speed in feet per second.

  • The conversion rule is:

             1 mile per hour = 1.467 feet per second

So, Speed in feet per second is:

 1 mile per hour = 1.467 feet per second

10 miles per hour = 10*1.467 feet per second

                             = 14.67 feet per second

So, 10 miles per second in feet per second is 14.67 feet per second

Keywords: Conversion of units

Learn more about Conversion of units at:

  • brainly.com/question/10940255
  • brainly.com/question/13005855
  • brainly.com/question/6436086

#learnwithBrainly

5 0
3 years ago
Miley is thinking of a number that is between 16,500 and16,700.she wants Denise to guess the number. whice guess is NOT reasonab
Sonbull [250]

Answer:

16, 477.

Step-by-step explanation:

5 0
3 years ago
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