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Mumz [18]
3 years ago
6

Look at the figures. How can you prove these triangles are congruent?

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

Answer:

A. \Delta ABC\cong \Delta DEF by the SAS postulate.

Step-by-step explanation:

We have been two triangles. We are asked to determine the theorem by which both triangles could be proven congruent.

We can see that side DF of triangle DEF is equal to side AC of triangle ABC.

We can also see that side BC of triangle ABC is equal to side EF of triangle DEF.

The including angle between sides AC and BC of triangle ABC is equal to the including angle between sides DF and EF of triangle DEF.

Since both triangles have two sides and their included angles equal, therefore, triangle ABC is congruent to triangle DEF by SAS (Side-Angle-Side) congruence and option A is the correct choice.

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How many times can 200 go into 487
DedPeter [7]
2.435 times or if it’s to the nearest whole number then it can go into it twice. 200+200= 400. It can’t go in 3 times because that would be 600.
8 0
3 years ago
The following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10
Oksanka [162]

The distance from their house the Bensons' after 412 hours will be 18, 640 miles

<h3>What is a function?</h3>

A function is an expression or rule that explains the relationship between a dependent and independent variable.

Given the function;

d= 45 t + 100

Where;

  • d is the total distance
  • t is the time taken

If t = 412 hours

Substitute into the formula

d = 45 ( 412) + 100

d = 18540 + 100

d = 18, 640 miles

Thus, the distance from their house the Bensons' after 412 hours will be 18, 640 miles

Learn more about functions here:

brainly.com/question/2456547

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6 0
1 year ago
Robert believes that the lengths 8 in, 13 in, and 20 in will form a triangle. Is he correct?
adell [148]

Answer: I think it’s D

Step-by-step explanation:

it’s because 8^2 + 13^2 equals 233 and when square rooted equals 15.26 not 20 so no.

7 0
2 years ago
Help with algebra 2 I can’t figure out how to solve the problem .
defon

Answer: D

Step-by-step explanation:

Using the equation plot in the coordinates of the points to see if they fit the equation.

5x-3y < 30  

A)  5(-3) -3(5) < 30

   -15 -15 < 30

    -30 < 30   This is true

B)  5(0) -3(0) < 30

     0 - 0 < 30

     0< 30     This is true

C)  5(-5) - 3(3) < 30

    -25 - 9  < 30

      -34 < 30    This is also true

D) 5(3) - 3(-5) < 30  

   15 + 15 < 30

  30 < 30         This is not true because 30 is not greater that 30

   

3 0
3 years ago
What is the first step in simplifying the expression 11x-2-3(1-7x)^2/(x+1) ? square the binomial multiply the binomial by 3 divi
Delicious77 [7]

Answer:

Square the binomial :)


Step-by-step explanation:


6 0
3 years ago
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