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Anna007 [38]
2 years ago
8

. If CD = 4 and the perimeter of △ABC is 23, what is the perimeter of △ABE?

Mathematics
1 answer:
OlgaM077 [116]2 years ago
6 0

Answer:

31

Step-by-step explanation:

ABC has a perimeter of 23, so

   AB + BC + AC = 23

The perimeter of ABE would be the sum of these sides:

  AB + BC + CD + DE + AE

We also know:

  AE = AC, CD=4 and DE=4 because ACD is congruent to AED

So, AB + BC + CD + DE + AE = AB + BC + 4 + 4+ AC = 23+8 = 31

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Which equation is a point-slope form of the equation of this line (-2, 1 ) and (1, 7 )
lana [24]

The point-slope formula:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have (-2, 1) and (1, 7).

Substitute:

m=\dfrac{7-1}{1-(-2)}=\dfrac{6}{3}=2

y-1=2(x-(-2))\\\\y-1=2(x+2)

6 0
3 years ago
Find two consecutive integers whose sum is 45. List the numbers from smallest to largest separating them with a comma (6, 7).
lana66690 [7]

Answer:

(22, 23)

Step-by-step explanation:

x + ( x + 1) = 45

2x + 1 = 45

2x = 45 - 1

2x = 44

x = 44 ÷ 2

x = 22

22, 23

7 0
3 years ago
Help me Please help please
MA_775_DIABLO [31]
The answer is 37/6 or by decimal form 6.16
3 0
3 years ago
What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.5 x)?
tatuchka [14]

Answer:

Step-by-step explanation:

15x - 10 = 10 + 6 + 2x

15x - 10 = 16 + 2x

Bringing like terms on one side

15x - 2x = 16 + 10

13x = 26

x = 26/13

x = 2

6 0
2 years ago
Factor completely. 5x2 - 45 A. 5(x + 3)(x - 3) B. 5(x2 - 45) C. 5(x - 9)(x + 9) D. (5x + 9)(x - 5)
zimovet [89]

Answer:

The correct answer is A. 5(x + 3)(x - 3)

Step-by-step explanation:

In order to solve this, we start by pulling out the greatest common factor.

5x^2 - 45

5(x^2 - 9)

Now we can use the difference of two squares to factor the rest of the equation.

5(x + 3)(x - 3)

4 0
3 years ago
Read 2 more answers
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