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tatuchka [14]
3 years ago
11

4. Look at the figure below. Are triangles ABC and DEF congruent? Explain why or why not.

Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

You see that angle D and angle A are congruent, and you see that angle C and angle F are congruent. In addition, line AC is congruent to DF. This means that yes, those triangles are congruent because of the ASA postulate.

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While traveling to and from a certain destination, you realized increasing your speed by 40 mph saved 4 hours on your return. Th
Sholpan [36]

<u>Answer:</u>

An equation that relates the speeds of the two legs of the trip

  \frac{640}{x-40}+\frac{640}{x}=4

<u>Explanation:</u>

Given, we have to use x to represent the speed on the second leg

Speed on first leg when increasing your speed by 40 mph will be (x-40)

Distance is given as 640 miles and time is calculated as  

\text { Time }=\frac{\text { Distance travelled }}{\text { speed }}

According to the question, increasing speed saved four hours

Therefore, the equation that relates the speeds of the two legs of the trip will be

\frac{640}{x-40}+\frac{640}{x}=4

5 0
3 years ago
-2x^2– 196 = 0<br> What is the discriminate?
KiRa [710]

Answer:

-784

Step-by-step explanation:

4 0
3 years ago
Connie Harris, in charge of office supplies at First Capital Mortgage Corp., would like to predict the quantity of paper used in
Amiraneli [1.4K]

Answer:

y = 0.325X + 7.5 ;

21.5 ;

R^2 = 0.7655 ;

r = 0.8749

Step-by-step explanation:

No. of loans originated ____ sheets of p/paper

45 ______________22

25 ______________ 13

50 _____________ 24

60 _____________ 25

40 _____________ 21

25 _____________ 16

35 _____________ 18

40 _____________ 25

Using the linear regression calculator : the linear model obtained is:

y = 0.325X + 7.5

y = predicted variable = sheets of photocopy paper

X = number of loans originated

0.325 = slope

Intercept = 7.5

B.)

X = 42

y = 0.325(42) + 7.5

y = 21.15

C.)

The Coefficient of determination as determined using the correlation coefficient calculator is :

R^2 = 0.7655 ; this means that about 76.55% of change in number of photocopy performed is explained by the number of loans originated.

D.) The correlation Coefficient (r) :

r = sqrt(R²)

r = sqrt(0.7655)

r = 0.8749

This shows that a strong positive correlation exists between the number of loans originated and the volume of photocopying done.

3 0
3 years ago
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