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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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Can someone please help me with these 3 answers. aiaf you can not see them make sure to click on the image.
Dafna11 [192]
For the first one I’m not sure, but for 2 it is B and 3 is 5.
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3 years ago
F(x)=3+2 in in radical form
lilavasa [31]
f(x)=3+2=\sqrt{9}+\sqrt{4}.
3 0
3 years ago
Over the last three evenings, Mary received a total of 116 phone calls at the call center. The third evening, she received 3 tim
Tanya [424]
<h2>Answer:</h2>

First day - 25 calls

Second day - 16 calls

Third day - 75 calls

<h2>Step-by-step explanation:</h2>

You need to set variables and create system of equations first.

First evening=  x

Second evening= y

Third evening = z

x+y+z=116

z=3x

y=x-9

Now you plug in the values into the equation x+y+z=116

x+(x-9)+(3x)=116

5x-9=116

5x=125

x=25

You plug in the value of x into the other equations.

x= 25

z= 3*(25)=75

y=(25-9)=16

Rearrange so it corresponds with days...

First day - 25 calls

Second day - 16 calls

Third day - 75 calls

5 0
3 years ago
Read 2 more answers
Select the correct answer!<br> Help asap thanks
tester [92]

The area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6

<h3>Calculating area </h3>

From the question, we are to determine the area of the shaded region

The area of the shaded region = Area of the semicircle - Area of the triangle

First, we will determine the diameter, d, of the semicircle

d² = 3² + 4² (<em>Pythagorean theorem</em>)

d² = 9 + 16

d² = 25

d = √25

d = 5

∴ Diameter of the semicircle is 5

Thus,

Radius, r = 5/2 = 2.5

Now,

Area of the shaded region = 1/2(π×2.5²) - 1/2(3×4)

Area of the shaded region = 1/2(π×6.25) - 1/2(12)

Area of the shaded region = 3.125π - 6

Hence, the area of the shaded region is 3.125π - 6. The correct option is E. 3.125π - 6

Learn more on Calculating area here: brainly.com/question/14989383

#SPJ1

7 0
2 years ago
Apples cost 25p each. Bananas cost 20p each. The total cost of a apples and b bananas is C. Write a formula for the total cost o
Anit [1.1K]

Answer:

a+b=c=45p

Step-by-step explanation:

6 0
3 years ago
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