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Leno4ka [110]
3 years ago
7

What is the x value in the figure

Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0

9514 1404 393

Answer:

  • x = 9
  • y = 12

Step-by-step explanation:

The angle marked 5x° is one of two acute angles in an isosceles right triangle, so is 45°.

  5x° = 45°

  x = 9 . . . . . . . divide by 5°

__

The side lengths are equal, so ...

  7y -9 = 5y +15

  2y = 24 . . . . . . . . add 9-5y

  y = 12 . . . . . . . . . .divide by 2

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NEED THE ANSWER QUICK PLS 100 POINTS
Olegator [25]

Hello from MrBillDoesMath!

Answer:

x = 2


Discussion:

From the attached graph the intersection point appears to be x = 2. Let's prove that.

2x - 1 = -x + 5   =>                  (add "x" to each side)

2x + x -1 = -x + x + 5 =>

3x -1 = 5 =>                           (add "1" to both sides)

3x -1 + 1 = 5 + 1 =>

3x = 6 =>

x = 6/3 = 2

Thank you,

MrB



5 0
4 years ago
Read 2 more answers
Consider the equation: 3(–4n – 9) = 21 Use the distributive property and properties of equality to solve for n.
Taya2010 [7]
3(–4n – 9) = 21
Apply the distributive property.

-12n - 27 = 21
Apply the addition property of equality (add 27).

-12n = 48
Apply the division prop.of equality (divide by -12)

n = -4
Final answer!
5 0
3 years ago
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the expression 8x + 12y represents the sum of harry and mike’s total monthly wages, where x represents the number of hours Harry
Makovka662 [10]

Answer:

Given the expression that represents the sum of harry and mike's total monthly wages:

8x+12y

where

x represents the  number of hours Harry worked

y represents the number of hours Mike worked.

The Distributive property says that:

a\cdot (b+c) = a\cdot b+ a\cdot c

8x+12y

Apply the distributive property:

4 \cdot 2x + 4 \cdot 3y

4(2x+3y)

The another way of writing the given expression as: 4(2x+3y)

And we conclude that the rewriting expression 4(2x+3y)  represents the sum of harry and mike's total weekly wages.


5 0
3 years ago
Convert the following decimals to percentages.<br> 0.52 =<br> %
lara [203]

Answer:

52% is the answer

3 0
3 years ago
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Two opposite sides of a square with length x are increased by 3 units each and the other two opposite sides are decreased by 3 u
SCORPION-xisa [38]
All four sides of the original square have length s.

Adding 3 to s results in s+3, the length of the resulting rectangle.
Subtracting 3 from s results in s-3, the width of the rectangle.

The area of the rectangle is (s+3)(s-3) = s^2 - 9 = 27,  

and therefore s^2 = 36, and s = 6 square units.
5 0
3 years ago
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