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mrs_skeptik [129]
3 years ago
11

Solve for x in the diagram below. 15 points :3

Mathematics
1 answer:
OLEGan [10]3 years ago
4 0

Answer: x = 6

Step-by-step explanation:

We know that the angles combined are complementary, meaning they add up to 90 degrees.

Therefore, we can make this equation:

(x + 54) + 5x = 90

Then, combine like terms.

x + 54 + 5x = 90

6x + 54 = 90

Now, subtract the 54 from that side.

6x = 90 - 54

6x = 36

Next, divide!

\frac{6x}{6} = \frac{36}{6}

x = 6

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Answers For 1,2,3,4,5,6,7,8,9 Pleas
g100num [7]

Answer:

I don't know ether

Step-by-step explanation:

5 0
3 years ago
. A garden measuring 12 m by 16 m is to have a pedestrian pathway that is ???????? meters wide installed all the way
Radda [10]

Answer:

1.5m

Step-by-step explanation:

Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.

The new area thus becomes:

(12+2x)(16+2x) = 285

24x + 32x + 192 + 4x^2 = 285

4x^2 + 56x + 192 = 285

4x^2 + 56x + 192 - 285 =0

4x^2 + 56x -93 = 0

4x^2 + 62x - 6x - 93 = 0

2x( 2x + 31) - 3(2x + 31) = 0

(2x - 3)(2x + 31) = 0

This means x = 3/2 or -31/2

Since length cannot be negative , we choose the first and neglect the second meaning our answer is 3/2 which is 1.5 meters

4 0
3 years ago
You have the following numbers: 1, 2, 3, 4, 5. Using these numbers, write at least 10 different mathematical expressions. Use at
masya89 [10]

Mathematical expressions allow us to relate numbers using mathematical symbols to make calculations. some examples are:

  • 2 + 3 = 5
  • 4 - 1 = 3
  • 2 × 2 = 4
  • 4 ÷ 2 = 2
  • 2² + 1 = 5
  • (1 + 2) + (2 × 1) = 5
  • (2 + 3) - 4 = 1
  • (2 + 2)² ÷ 4 = 4
  • (2 ÷ 4)² × 4 = 1
  • (2 + 2)² (4 ÷ 2) - (2 × 4)(5 - 1) + 5 = 5

<h3>What is a mathematical expression? </h3>

A mathematical expression is a sequence of characters that are intended to express a general relationship between the terms expressed in the formula.

Mathematical expressions generally have symbols like:

  • Add +
  • Subtraction -
  • Multiplication ×
  • Division ÷
  • Exponent x^{x}
  • Equal =
  • Parentheses ()

According to the above, some examples of mathematical expressions are:

  • 2 + 3 = 5
  • 4 - 1 = 3
  • 2 × 2 = 4
  • 4 ÷ 2 = 2
  • 2² + 1 = 5
  • (1 + 2) + (2 × 1) = 5
  • (2 + 3) - 4 = 1
  • (2 + 2)² ÷ 4 = 4
  • (2 ÷ 4)² × 4 = 1
  • (2 + 2)² (4 ÷ 2) - (2 × 4)(5 - 1) + 5 = 5

Learn more about mathematical expressions in: brainly.com/question/14712183

5 0
2 years ago
On a scale drawing, 9 inches<br> represents 11 miles. How many<br> inches represent 55 miles?
Elodia [21]

Answer: you will get 45

Step-by-step explanation:

If you do 9x5=45 and 11x5=55

So the answer would be 45

6 0
2 years ago
50 inches tall last year and this year you are 60 inches tall. How much did you grow in the 1 year?
DiKsa [7]

You grew 5 feet this year.

You grew 5 feet this year because you know that 1 foot is = to 12 inches. Divide 12 by 60 and you get 5.

Therefore, your answer is 5.

5 0
3 years ago
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