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OLEGan [10]
3 years ago
10

AACB = ADCE. If AC = 5 and BC = 7 CD = [ ? ). PLS HELP LOL PLS

Mathematics
1 answer:
FromTheMoon [43]3 years ago
6 0

Answer:

CD = 5

Step-by-step explanation:

AC = 5

BC = 7

∆ACB ≅ ∆DCE, therefore,

AC = CD,

BC = CE, and,

AB = DE

Thus,

AC = CD = 5

CD = 5

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Pls help, needed asap. Thank you and can you explain, im having troubles
Step2247 [10]

Step-by-step explanation:

(I'll be adding more answers to this answer soon!)

Alright, let's start off with the first question. :)

So, the entire length of AC is 60.

AB + BC = AC, as you can infer from the diagram.

We know that AB is 2x + 8, and AC is 3x + 7.

So,

2x + 8 + 3x + 7 = 60.

Now, we can simply evaluate for x:

Combine the like terms to get 5x + 15 = 60

Subtract 15 to get 5x = 45

Divide by 5 to get the first question's answer as x = 5 :)

------

Time for the second question!

AD is a straight angle. If an angle is straight, it measures 180 degrees. So,

AD = 180

From the diagram, we can tell that x+17 and 5x+13 add up to 180.

x + 17 + 5x + 13 = 180

Now, we can simply solve for x!

6x + 30 = 180

6x = 180 - 30 = 150

x = 150 / 6 = 25

So, we get x = 25 as the answer to the second question! :)

8 0
3 years ago
Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.
Umnica [9.8K]

The statements and their individual answers are not provided in the question. However, please check the explanation given below for the equation.

Step-by-step explanation:

  • The equation given is \frac{2x^{4} + 7x^{3} + 18x^{2} + 11x -2}{2x^{2} - 3x + 1 }
  • Divide the leading term of the dividend by the leading term of the divisor: \frac{2x^{4} }{2x^{2} }  = x^{2}
  •  Multiply it by the divisor: x^{2} ({2x^{2} -3x +1) = 2x^{4} - 3x^{3} + x^{2}
  • Subtract the dividend from the obtained result: (2x^{4} + 7x^{3} + 18x^{2} + 11x - 2) - (2x^{4} - 3x^{3} + x^{2} ) = (10x^{3} + 17x^{2} + 11x -2)
  • Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{10x^{3}}{2x^{2} }  = 5x
  • Multiply it by the divisor: 5x (2x^{2} - 3x + 1) = 10x^{3} - 15x^{2} + 5x
  • Subtract the remainder from the obtained result: (10x^{3} + 17x^{2} + 11x -2) - (10x^{3} - 15x^{2} + 5x) = (32x^{2} + 6x - 2)
  • Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{32x^{2} }{2x^{2} } = 16
  • Multiply it by the divisor: 16 (2x^{2} - 3x +1) = 32x^{2} - 48x +16
  • Subtract the remainder from the obtained result: (32x^{2} + 6x - 2) - (32x^{2} - 48x +16) = 54x - 18
  • Since the degree of the remainder is less than the degree of the divisor, then we are done.
  • Therefore,  \frac{2x^{4} + 7x^{3} + 18x^{2} + 11x -2}{2x^{2} - 3x + 1 } = (x^{2} + 5x +16 + \frac{54x - 18}{2x^{2}  - 3x +1})
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3 years ago
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Marianna [84]

Answer:

Two Eighths

Step-by-step explanation:

One eighth is one part of eight equal sections. Two eighths is one quarter

6 0
3 years ago
What is 59% of 75? can some one help me please and thank u
S_A_V [24]
75×59% or 75×59÷100=44.25. As a result, 59% of 75 is 44.25. Hope it help!
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How many degrees are there in angle C?<br> ** multiple choice question
lawyer [7]

There are 50 degrees in angle c

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4 years ago
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