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2 years ago

Name a pair of Alternate Exterior Angles

Mathematics

2 answers:

Virty [35]2 years ago

6 0

Answer: Z and M

N and Y

Step-by-step explanation:

Well alternate exterior angles are located on the outside of the two parallel lines, but on opposite sides of each other.

So you could say its N and Y or Z and M

pogonyaev2 years ago

4 0

Answer:

M, Z

O, X

P, W

N, Y

Step-by-step explanation:

They are all Alternate Exterior Angles.

<em>Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!</em>

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Tomas bought 80 tickets for rides at an amusement park. Each ride costs 5 tickets, and Tomas has been on x rides so far. Which e

Alex Ar [27]

Answer:

Option A, C and D are correct choices.

Step-by-step explanation:

Let x be the number of rides that Tomas has been on so far. Each ride costs 5 tickets. This means that cost of x rides will be 5x.

We are told that Tomas bought 80 tickets for rides at an amusement park.

To find the number of of tickets that Tomas has left we will subtract cost of x rides from total number of tickets that Thomas bought.

We can represent this information in an expression as: $80-5x$

Now let us see which of our given choices in equivalent to our expression.

A. $80-5x$

Upon looking at option A we can see that it is same as our expression, therefore, option A is the correct choice.

B. $80+5x$

We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option B is not a correct choice.

C. $5(16-x)$

Upon distributing 5 we will get,

$80-5x$

Now this expression is same same as our expression, therefore, option C is the correct choice.

D. $-5x+80$

This expression is also same as our expression as we can rearrange the terms in this expression as: $80-5x$ , therefore, option D is a correct choice as well.

E. $5(16+x)$

Upon distributing 5 we will get,

$80+5x$

We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option E is not a correct choice.

6 0

3 years ago

A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%

Mamont248 [21]

Answer:

a. $A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\$

b. $\frac{dA}{dt}= -11.25 \frac{mg}{h}$

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

$A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\$

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

$\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}$

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0

3 years ago

Variable y varies directly with variable x, and y = 6 when x = 9.

lesantik [10]

X and y are proportional hence when y is multiplied by a number, x is multiplied by the same number.

18=6*3 hence when y=18,x=9*3=27

x=27

5 0

3 years ago

Read 2 more answers

Rani has a stamp collection which consists of Indian stamps and foreign stamps. The ratio of

Lostsunrise [7]

Answer:

2/9

Step-by-step explanation:

2 + 7 = 9

There are two Indian stamps, and the total is 9 stamps.

8 0

3 years ago

There are 60 girls and 45 boys who want to participate in a co-ed basketball tournament. if each team must have the same number

ololo11 [35]

Answer:

15 teams, 4 girls and 3 boys on each team.

Step-by-step explanation:

What's the greatest common multiple of 60 and 45? It's 15.

This is the greatest number of teams that can be formed.

60/15 = 4; thus, there will be 4 girls on each team.

45/15 = 3; thus, 3 boys on each team

5 0

3 years ago