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adoni [48]
3 years ago
6

In the given figure, what is the measure of angle CPE?

Mathematics
1 answer:
Alina [70]3 years ago
3 0

Answer:

Option B

Step-by-step explanation:

The 2 lines in this circle make a linear pair. this means that ∠CPE and ∠FPD are congruent this also means that their arcs are congruent. so you start out by setting 2x + 28 equal to 4x + 12. after you solve for x you should get x=8, inputting this into the angle equation (x + 60) and you should get 68

Please mark brainliest :)

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One of my classmates stated a hypothesis that all organisms must have an organ system is my classmates hypnosis valid answer
WARRIOR [948]
Incorrect. Take plants for example they do not have organisms but they are living organisms.
8 0
3 years ago
The ratio of the areas of the two squares is 25 to 9. The side length of the smaller square is 30 meters. How long is the side l
Ratling [72]
Ratios of Area of the two squares = 25:9
So then let the areas be A1 = 25A and A2 = 9A, A is common element
Side of the smaller area S2 = 30 meters
Area of the smaller square A2 = 30 x 30 = 900
We have area of smaller square as 9A = 900 => A = 100
Area of the large square = 25A = 25 x 100 = 2500.
Hence S1^2 = 2500 => S1 = 50 meters which is 20 meters longer than the
side of the smaller square.
6 0
2 years ago
In 2000, the mayo clinic conducted a study of whether air dryers eliminate more germs than paper towels. researchers recruited 1
WARRIOR [948]

Answer:

This is an observational study based on a stratified sample.

Step-by-step explanation:

This study aimed to check which clean-up/drying up method after handwashing was more effective; that is, do dryers eliminate more germs than paper towels.

It involved 100 people that took part in the study. The 100 of them contaminated their hands and were instructed to wash their hands with soap and water for 15 seconds before the participants are randomly grouped into two strata; one stratum/group (consisting of 50 participants) that dries their hands with a dryer and another (also consisting of 50 participants) that dry their hands with paper towels.

An observational study is one in which data is collected only by monitoring the events of the study. The conductor of the study in no way tries to intervene or control any of the variables being studied. No control, no tweaking of factors, just observe and record data.

An observational study based on a stratified sample is an observational study that uses the stratified sampling method to carry out its objectives. It randomly puts each of the participants being observed into groups or strata. Each group of randomly assigned participants are then required to run the test for one of the variables being compared.

This is exactly what the study in the question describes. This is why this study is undoubtedly an observational study based on a stratified sample.

Hope this Helps!!!

3 0
3 years ago
Estimate 58% of 112 using benchmark percents. Explain your answer.
vitfil [10]

Answer:

64.96

Step-by-step explanation:

The most common benchmark percents are 0\% , 10\% , 25\% , 50\% , 75\% and 100\%

We are given 58\% which is closest to 50\%.

Now we calculate 50\% \ of \ 112 which is equal to 56.

We are left with 8\% more to add.

We can say 1\% \ of \ 112 \ is\ 1.12

Therefore 8\% \ of \ 112 \ would \ be \ 1.12\times8=8.96

Now add the two.

56+8.96= 64.96

Thus 64.96 is the answer.

3 0
3 years ago
Compare the equation, y = 9x - 4x2, the graph below, and the table below. Which has the steepest rate of change from x = 1 to x
jeka57 [31]
The correct answer to this question is  C. equation, –3

The equation is 
<span>y = 9x - 4x^2
</span>y = -4x^2 + 9x
y = -x(4x - 9)

The steepest rate of change from x = 1 to x =2

x = -1 ; y = 0
x = 1 ; y = 2
x = 2 ; y = 0
x  =3 ; y = -4

So, based from the table show, the steepest rate of change is <span>C. equation, –3</span>
4 0
3 years ago
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