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Gre4nikov [31]
2 years ago
13

Need help to solve please?? Need to proof

Mathematics
1 answer:
inysia [295]2 years ago
8 0

Answer:

Step-by-step explanation:

#   Statement   Reasoning

1). KJ║ML    Given

2). ∠KLM ≅ ∠LKJ   Alternate interior angles

3). KL ≅ LK  Reflexive property

4). ΔKJL ≅ ΔLMK  SAS congruence postulate

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Write a story problem that represents 528 ÷ 24.
Minchanka [31]
$528 was raised by a team of 24 students. If it's divided evenly among them, how much money will each student earn?
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3 years ago
What is the absolute value of 8.15
blagie [28]

Answer:

pretty sure its 8.15

Step-by-step explanation:

4 0
3 years ago
John and Tim are looking at the equation the square root of the quantity of 3 times x minus 4 equals square root of x . John say
IgorC [24]
The equation is 
3x - 4 = sqrt(x)
where 'sqrt' is shorthand for 'square root'

Let's solve the equation. To do so, we square both sides. Then we get everything to one side
3x - 4 = sqrt(x)
(3x - 4)^2 = (sqrt(x))^2
9x^2 - 24x + 16 = x
9x^2 - 24x + 16-x = x-x
9x^2 - 25x + 16 = 0

Now use the quadratic formula. See the attached image for those steps.

After using the quadratic formula the two possible solutions are x = 1 or x = 16/9

We need to check each possible solution to see if it is extraneous or not.

----------------------------

Checking x = 1

3x - 4 = sqrt(x)
3*1 - 4 = sqrt(1)
3 - 4 = 1
-1 = 1

The final equation is false, so x = 1 is not a true solution

x = 1 is extraneous. 

So far, John is correct; however, we need to see the nature of the possible solution x = 16/9

So let's check it
----------------------------

Checking x = 16/9

3x - 4 = sqrt(x)
3*(16/9) - 4 = sqrt(16/9)
48/9 - 4 = 4/3
16/3 - 4 = 4/3
16/3 - 12/3 = 4/3
(16 - 12)/3 = 4/3
4/3 = 4/3

The last equation is true, so x = 16/9 is a proper solution.

This solution is considered non-extraneous. So Tim is also correct
----------------------------

They are both correct because there are two possible solutions. One of which is extraneous (x = 1) and the other is non-extraneous (the fraction x = 16/9)

3 0
3 years ago
Which value of x makes the equation -5x-(-7-4x) =-2(3x-4 true?
Ludmilka [50]

Answer:

x = 1/5

Step-by-step explanation:

Step 1: Write equation

-5x - (-7 - 4x) = -2(3x - 4)

Step 2: Solve for <em>x</em>

  1. <u>Distribute:</u> -5x + 7 + 4x = -6x + 8
  2. <u>Combine like terms:</u> -x + 7 = -6x + 8
  3. <u>Add 6x to both sides:</u> 5x + 7 = 8
  4. <u>Subtract 7 on both sides:</u> 5x = 1
  5. <u>Divide by 5 on both sides:</u> x = 1/5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)

-1 - (-7 - 4/5) = -2(3/5 - 4)

-1 - (-39/5) = -2(-17/5)

-1 + 39/5 = 34/5

34/5 = 34/5

5 0
3 years ago
What is 127/100 as a percent
jenyasd209 [6]
1.27, think money.
100 pennies is $1
27 cents left
$1.27
3 0
4 years ago
Read 2 more answers
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