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Anestetic [448]
3 years ago
9

1

Mathematics
1 answer:
lora16 [44]3 years ago
4 0

Answers:

  1. Angle MNP is congruent to Angle OPN- Given 1
  2. MN is congruent to OP- Given 2
  3. Np is congruent to NP- Reflexive Property
  4. Triangle MNP is congruent to Triangle OPN- SAS
  5. Mp is congruent to No- CPCTC

I've attached a diagram that visually shows the congruency!!

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Gilbert purchased a car for 34000. The car depreciates at a rate of 14% per year. The exponential function that represents this
lyudmila [28]

Answer:

.86

Step-by-step explanation:

Exponential function formula

y = a ( 1 + or - r ) ^t

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

4 0
3 years ago
At a large university a simple random sample of five female professors is selected and a simple random sample of 10 male profess
Aloiza [94]

Answer:

D. All of the above

Step-by-step explanation:

Samples may be classified as:

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this problem:

Two random samples are selected and combined. The combination is a random sample. So A. is correct.

They are not balanced. More male professors than female are chosen. So B. is correct.

The teachers are divided into groups(male and female). And some members of each group are selected. So C. is correct.

So the correct answer is:

D. All of the above

6 0
3 years ago
To get to his parent's house, Isaiah would have to drive due north 9 kilometers. To get to his grandparents' house, he would hav
DaniilM [7]

let us represent the question with a diagram for better understanding.

Using Pythagoras theorem

\begin{gathered} c^2=12^2+9^2 \\ c^2=144+81 \\ c=\sqrt[\square]{225} \\ c=15\text{ km} \end{gathered}

The distance between the parents and grandparent house = 15 km

6 0
1 year ago
What is the answer of the equation 7n+2= 4n+17
beks73 [17]

Answer:

n = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

3 0
3 years ago
Expand and simplify 2(3x + 2) + 3(x + 1)
Eddi Din [679]

Answer:

Expand: 6x+4+3x+3

Simplify: 9x+7

3 0
3 years ago
Read 2 more answers
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