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Dvinal [7]
3 years ago
9

Can someone please help me with this question, giving 20 points.

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0
AM = 2(ME)
4x - 5 = 2(x + 3)
4x - 5 = 2x + 6
2x = 11
  x = 5.5

answer
x = 5.5
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Geometry Pythagorean theorem
lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<h3>________________________________________________</h3>

<u>Question 9:</u>

  • 10² = 6² + x²
  • => 100 = 36 + x²
  • => 100 - 36 = x²
  • => 64 = x²
  • => x = 8
<h3>________________________________________________</h3>

<u>Question 10:</u>

  • 26² = 24² + x²
  • => 676 = 576 + x²
  • => 676 - 576 = x²
  • => 100 = x²
  • => x = 10
<h3>________________________________________________</h3>

<u>Question 11:</u>

  • 15² = 12² + x²
  • => 225 = 144 + x²
  • => 225 - 144 = x²
  • => 81 = x²
  • => x = 9
<h3>________________________________________________</h3>

<u>Question 12:</u>

  • x² = 8² + 12²
  • => x² = 64 + 144
  • => x² = 208
  • => x = √208
  • => x = 14.2 (Rounded)
<h3>________________________________________________</h3>

<u>Question 13:</u>

  • 7² = 2² + x²
  • => 49 = 4 + x²
  • => 49 - 4 = x²
  • => 45 = x²
  • => x = √45
  • => x = 6.7 (Rounded)
<h3>________________________________________________</h3>

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

  • => 5² = 3² + x²
  • => 25 = 9 + x²
  • => 16 = x²
  • => x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

  • (3 + 6)² = 5² + y²
  • => (9)² = 25 + y²
  • => 81 = 25 + y²
  • => y² = 56
  • => y = √56
  • => y = 7.5 (Rounded) units

Answers (Nearest tenth):

  • x = 4 units
  • y = 7.5 units
<h3>________________________________________________</h3>

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

  • 8² = 6² + y²
  • => 64 = 36 + y²
  • => 28 = y²
  • => y = √28
  • => y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

  • x = 2y
  • => x = 2(5.3)
  • => x = 10.6 units

Answer (Nearest tenth)

  • x = 10.6 units
  • y = 5.3 units
<h3>________________________________________________</h3>
5 0
2 years ago
A beetle is 1/5 inch wide and 2/5 inch long. How much greater is the beetle's length than its width?
Neporo4naja [7]

Answer:

2 times as long

Step-by-step explanation:

2/5 divded by 1/5 equals two

6 0
3 years ago
OUT OF A RATIO OF ONE TO TEN, WHAT IS ONE? EXPLAIN.
Andrei [34K]
One is the amount you have, also  its the numerator 
7 0
3 years ago
The large rectangle shown represents one whole . Which division expression does the purple shaded area in the model represent
Hatshy [7]

Answer: The answer is (d)~\dfrac{1}{3}\div 4.


Step-by-step explanation:  Given in the question and the figure a large rectangle consisting of 12 squares of equal areas. We need to choose the right expression for the purple shaded area.

Considering the rectangle in the figure horizontally, there are 4 rows of 3 squares. So, in the last row, the fraction of  purple shaded square is

r_p=\dfrac{1}{3}.

And if consider the figure vertically, then there are 3 columns of 4 squares.

Therefore, the final fraction represented by the purple shaded area is

f_p=\dfrac{1}{3}\div4.

Thus, the correct option is  (d)~\dfrac{1}{3}\div 4.


7 0
3 years ago
Read 2 more answers
The chemist needs the concentration of the final mixture to be 30%. how many milliliters of the 40% solution should she add to t
3241004551 [841]
The answer is 400 mL
4 0
2 years ago
Read 2 more answers
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