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Blababa [14]
3 years ago
12

Please help! 60 points and brainiest

Mathematics
1 answer:
aleksley [76]3 years ago
5 0

Answer:

If ∠Q ≅ ∠M and ∠M ≅ ∠T, then ∠Q ≅ ∠T

Step-by-step explanation:

The transitive property of congruence states that if figure A is congruent to figure B and figure B is congruent to figure C, then figure A and figure C are also congruent.

~Hope this Helps!~

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Simplify <br> -2.5·4<br><br><br><br> thanks hhhhhhhhh
ICE Princess25 [194]

Answer:

-10

Step-by-step explanation:

-2.5 times 4

-10

4 0
3 years ago
Read 2 more answers
this reading selection is a special kind of advertisement called a... a.diagram b.flier c.menu d.fhoto please answer
eimsori [14]
Probably b. flyer

Of course, it's tough to tell without the selection.

7 0
3 years ago
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial
maks197457 [2]

Answer:

The initial population P0 is 7500

Step-by-step explanation:

First of all, we are told that the population is proportional to time. This means that as time goes by, the population will increase. This type of relationship between two variables has the form of a linear equation expressed as:

y = mx + b,

where m is the slope of the curve and b is the intercept of it.

In this case we can state the following equation:

P = mt + P0

Where P is the population at a certain time "t", "m" is the slope of the curve, "t" is the time (this is the independent variable) and P0 is the intercept of the curve and represents the initial population.

Once we state the equation, let's see what we know:

If t = 0, then P = P0

If t = 3, then P = 12000 just as we are told

and if t = 5, then P = 2 P0 because after five years the population has doubled compared to the initial population (P0).

From the definition of the slope of the curve:

(Y2 - Y1)/(X2-X1) = m

and using the data described before we can formulate the slope value:

m = (2P0 - P0)/(5-0)

m = (2P0 - P0)/5

m = P0/5

Then, let's replace the value of m in the following equation:

P = mt + P0

12000 = (P0/5) × 3 + P0 → This is the equation presented when 3 years has gone by and we now have a population of 12000.

12000 = (3/5) P0 + P0

12000 = (8/5) P0

12000×5/8 = P0 = 7500

Then we can calculate the value of the slope m:

m = P0/5

m = 7500/5 = 1500

Now, knowing the value of m and the initial population P0 we are able to calculate the population at any value of "t".

6 0
3 years ago
Select the point that is a solution to the system of inequalities.<br> y≤2x-2<br> y≤ x²-3x
miss Akunina [59]

Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are y\leq 2x-2 and y\leq x^{2} -3x.

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), -1\leq 2(-2)-2 \implies -1\leq -6.

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), 3\leq 2(1)-2 \implies 3\leq 0

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), 1\leq 2(2)-2 \implies 1\leq 2.

1\leq 2^{2} -3(2) \implies 1\leq -2

This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.

For (4,2), 2\leq 2(4)-2 \implies 2\leq 6

2\leq 4^{2} -3(4) \implies 2\leq 4

Both statements are true. Therefore (4,2) is a solution and option D is correct.

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

7 0
2 years ago
Three consecutive integers are n, n+1, and n+2. Four times the sum of the least and greatest integers is 12 less than three time
polet [3.4K]

Answer:

-4

Step-by-step explanation:

let n be least.

3n-12=4(n+n+2)

3n-12=8n+8

3n-8n=8+12

-5 n=20

n=-4

4 0
3 years ago
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