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Phoenix [80]
3 years ago
14

What needs to happen before you can use the reason CPCTC?

Mathematics
1 answer:
zaharov [31]3 years ago
4 0
Answer: before you can use the reason CPCTC it must be stated that the triangles are congruente.

Explanation:

1) CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

2) Therefore, to use that reason you first need to prove that the the triangles are congruent.

3) Once, it has been stated that the triangles are congruent, then you can use the reason to state the the corresponding segments are congruent which will let you to state the length of any side of one triangle known the corresponding side of the other triangle, because they are congruent (have the same length).
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The population of a city in 2005 was 18,000. By 2010, the city’s population had grown to 45,000. Economists have determined that
tensa zangetsu [6.8K]
2005= 18,000
2010= 45,000


1) make 2005 year "0", and 2010 year "5"
2)in order to solve this problem and figure out the rate of change, we must use the equation for exponential functions y=ab^x
3) a= the y- value of y intercept ( what does y equal when x is zero) in this case a population number so, a= 18,000; b= the unknown rate of change; x= time and since we're finding  b we can plug in 5 for the time in years; y= the value of y in terms of the x-value, so when x is 5, y is 45,000
4) you end up with something like this
45,000= 18,000b^5
5) in order to proceed to solve you must get b alone
6) divide both sides by 18,000
7) so you no have 2.5= b^5
8) take the fifth root of both sides 
9) now you have your answer b=<span>1.20112443398</span>
6 0
3 years ago
Read 2 more answers
28÷x=168<br>What is the value of "x"​
coldgirl [10]
It is 1/6 or .16 I used Photomath
7 0
3 years ago
If a boy 5 feet tall casts a shadow 14 feet long, what will be the length of the shadow of a tree that is 25 feet high?
klemol [59]

Answer:

70 feet

Step-by-step explanation:

This problem can be answered by using proportions based on similar triangles.

Notice that a person and its shadow on the ground form a right angle (therefore they can be considered the two "legs" of a right angle triangle)

The same runs for the tree and its shadow.

Since the inclination of the rays of the sun are the same at the same time for both objects (the boy and the tree), their hypothenuses form the same angles with the ground and therefore belong to similar triangles.

We can create the following proportion to solve for the shadow of the tree (ST) using the information provided: the height of the boy (HB), the shadow of the boy (SB), and the height of the tree (HT)

\frac{SB}{HB} =\frac{ST}{HT}\\\frac{14}{5} =\frac{ST}{25}\\\frac{ST}{25}=\frac{14}{5} \\ST=\frac{14*25}{5}\\ST=70\,\,ft

6 0
4 years ago
Katy runs a day care center . So far this year , the enrollment has consisted of 2 toddlers and 8 children of other ages . Consi
Y_Kistochka [10]

Answer:

You should expect 4 of the next 20 children to enroll to be toddlers.

Step-by-step explanation:

This question is solved by proportions.

So far:

We have that of 2 + 8 = 10 children, 2 are toddlers, so the proportion of toddlers is 2/10 = 0.2.

How many of the next 20 children to enroll should you expect to be toddlers?

0.2 out of 20, so: 0.2*20 = 4

You should expect 4 of the next 20 children to enroll to be toddlers.

5 0
3 years ago
Find the surface area of a pyramid that is 5 by 7
OLga [1]
The answer is 35 so that's it
4 0
3 years ago
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