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Gala2k [10]
3 years ago
14

Solve for X on both images (25 points)

Mathematics
1 answer:
gladu [14]3 years ago
3 0

Solving for x on both images; we have; x= 157/12 and x= 11 respectively

<h3>Congruent triangles</h3>

From the law of Congruence in the first image (triangle)

We have;

  • 15/21 = (3x-4)/(5x -16)

  • 75x -241 = 63x -84

  • 12x = 157

x = 157/12

For the second image;

We have;

  • (2x +6)/32 = 52.5/60

  • 120x + 360 = 1680

  • 120x = 1320

  • x = 11

Read more on congruent triangles;

brainly.com/question/1675117

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jolli1 [7]

The two whole numbers are 5 and 6 ⇒ 3rd answer

Step-by-step explanation:

To prove that a square root number lies between which two consecutive integers do that

  • Find a square number less than the number under the root
  • Find a square number greater than the number under the root
  • Find the square root of the square numbers, they will be the two integers that the root lies between them

∵ The number is \sqrt{29}

- Find a square number less than 29

∵ 25 is a square number

∵ 25 is less than 29

- Find a square number greater than 29

∵ 36 is a square number

∵ 36 is greater than 29

∴ 25 < 29 < 36

- Take √ for each number

∴ \sqrt{25} < \sqrt{29} < \sqrt{36}

∵ \sqrt{25}  = 5

∵ \sqrt{36}  = 6

∴ 5 <  \sqrt{29}  < 6

The two whole numbers are 5 and 6

Learn more:

You can learn more about the numbers in brainly.com/question/9621364

#LearnwithBrainly

8 0
4 years ago
It is given that a+b=6 and ab=7. Find the value of a^2 + b^2.
n200080 [17]
Use the identity:-

a^2 + b^2  = (a + b)^2 - 2ab

Plugging in the given values;-

a^2 + b^2 = 6^2 - 2*7    =  36-14  = 22 Answer
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TEA [102]

Answer:

27

Step-by-step explanation:

643-166=477

477÷18=26.5

Then, round to the nearest whole.

Which makes it 27 sets.

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Step-by-step explanation:

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