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Oksanka [162]
3 years ago
14

Work out the value of x and y in this diagram. All measurement are in centimeters​

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0

Answer:

X = 5

Y = 7

Step-by-step explanation:

First we will find x

4x + 2 = 3x + 7

x + 2 = + 7

x = 5

Next we will find y

2y + 9 = 4y - 5

-2y + 9 = -5

-2y = -14

y = 7

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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
4. A value of 500 increases by 12% What is the new value?"​
Nonamiya [84]

Answer:

increase percent=12%

hom much increase

500 of 12%

500×12/100=60

new value=500+60

new value=560

3 0
3 years ago
13 Use the replacement set {4, 6, 12} to find which values will make the equation 2x + 4 = 16 Strue. A None of the values are a
storchak [24]
I think it has to be A
3 0
3 years ago
D
Ber [7]

Answer:

The answer would be B 35.

Step-by-step explanation:

34 is closest to 35.

4 0
3 years ago
This dot plot shows the number of cakes sold each day in aunt alice's cake shop last month. what is the median number of cakes s
skelet666 [1.2K]

Answer:

The median is 2.

Step-by-step explanation:

I just did the test :)

8 0
3 years ago
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