1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ulleksa [173]
3 years ago
12

If CDEF ≅ MNPQ, then ≅ FC

Mathematics
1 answer:
V125BC [204]3 years ago
7 0

Answer:

QM≅FC

Step-by-step explanation:

Two figures are said to be congruent to each other if they have same size and same shape .

Two sides are said to be congruent if their lengths are equal .

Two polygons are said to be congruent if their sides are equal and their corresponding angles are equal .

As CDEF ≅ MNPQ , corresponding angles of CDEF and MNPQ are equal and corresponding sides are also equal .

∠C=∠M , ∠D=∠N , ∠E=∠P , ∠F=∠Q and CD=MN , DE=NP , EF=PQ , CF=MQ

So, QM≅FC

You might be interested in
While the histogram is not perfectly symmetric (there is mild right skewness), it is close enough to being symmetric and mound-s
erma4kov [3.2K]

Answer:

a) 97.1\% b) 13.6\%  c) 772 \:calories

Step-by-step explanation:

\mu=1071,\:\sigma=301

1) The 68-95-99.7 rule tells us how a distribution is divided. 99.7% of the distribution should fall within 3; 95%,  2 and 68%, 1 standard deviation from the mean.

As you can see in the graph.

a). What is the approximate percentage of the Chipotle meals that have more than 469 calories?

By the rule

We have the interval 68% is equal to the mean plus 1 standard deviation and minus one standard deviation.

So

68\%=(\mu-2\sigma,\mu+2\sigma)=(1071-2(301), 1071+2(301)=(469,1672)

But the question wants to know more than 469 calories, then13.6\%+34\%+34\%+13.6\%+2.1\%=97.1\%\\

b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?

Check the graph below

This percentage is the interval, which is a quarter of that 95%

(\mu +\sigma,\mu+2\sigma)=(1372,1673)=\frac{95\%}{4}=13.6\%

c.. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?

Since we're dealing with a Normal Curve, then to find the 16th percentile we need:

  • The Mean and Standard deviation
  • The Z score and then multiply by that Standard Deviation
  • Add this to the mean

.Z\: score=-0.994\\\\(-0.994)*301=-299.194\\-299.194+\mu \Rightarrow -299.194+1071=771.806\approx772

We have the location 772 = 16th percentile. Since this meal is equal to 16th percentile, then this meal has 772 calories.

8 0
3 years ago
(Solve by Graphing)
lapo4ka [179]

Answer:(2,-9)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A negative number divided by a positive number is:
Verdich [7]

Answer:

When you divide a negative number by a positive number then the quotient is negative.

Step-by-step explanation:

hope this helped

7 0
3 years ago
Which of the following systems of equations is an example of one where substitution is the best method?
blondinia [14]

Answer:

The answer is option D.

I hope this helps.

3 0
3 years ago
Read 2 more answers
Help ASAP ILL GIVE 10 POITNS TO ANYONE THAT WILL HELP
DIA [1.3K]
End answer is five hundred and 6

3 0
3 years ago
Read 2 more answers
Other questions:
  • 2.36 as a simplified fraction.
    14·2 answers
  • Does someone know about that
    15·1 answer
  • The rainfall this year was 18.6 centimeters. This is 3.2 centimeters less than half of the rainfall last year. What was the rain
    6·2 answers
  • Janae needs to solve the equation 3x + 5/16 = 3/4 - 1/8x - 1/2. What is an advantage of using the multiplication property of equ
    7·1 answer
  • The zeros of a function P(x)=x2-2x-24
    12·1 answer
  • Find the slope of each line
    5·1 answer
  • HELP PLEASE THIS IS DUE MONDAY! :(( GIVING 25 POINTS !!!
    10·2 answers
  • Find the indicated limit, if it exists. ​
    6·1 answer
  • Sin(x-y)+sin(x-y prove the identity
    9·1 answer
  • Determine the value of the missing sides for the following triangle
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!