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Tom [10]
2 years ago
8

Work out the value of x.

Mathematics
2 answers:
Vinil7 [7]2 years ago
4 0

Answer:

\huge\boxed{x=20}

Useful Information:

Co-interior angles add to 180°

Step-by-step explanation:

The first step is to add 4x to 5x, which gives you 9x. This is because co-interior angles add up to 180, so 4x+5x=180. Co-interior angles can be spotted by their C shape.  

To work out the value of x you would need to divide 180 by 9, which gives you 20°.  This is because 9x is equal to 180. This means that x is equal to 180 divided by 9.

1) Add 4x to 5x.

4x+5x=9x

2) Divide 180 by 9.

\frac{180}{9}=20

xeze [42]2 years ago
3 0

Answer:

x = 20

Step-by-step explanation:

4x+5x = 180° (sum of int angles)

     9x = 180°

       x = 20°

Hence, x = 20.

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Find measurement of arc JL.
Tresset [83]
4x-2 + 7x-18 + 6x+6 = 360 degrees

combine like terms

17x-14  = 360

add 14 to both sides

17x =374

 divide both sides by 17
x = 374 / 17 = 22

JL = 7x-18
replace x with 22 and calculate
7(22) - 18 = 154 -18 = 136 degrees

4 0
4 years ago
Three circles are placed in a rectangle with width 12 cm, as shown below. Find the area of the shaded region. Use the value 3.14
azamat

Answer: area of rectangle

7x(7x2x3)

=294

area of 3 semicircles

7x2x3.14x0.5x3

=65.94

Answer

294-65.94

=228.06cm2

Step-by-step explanation:

7 0
2 years ago
Please help i have no clue
kozerog [31]

Answer:

Step-by-step explanation:

Question (1)

x² + 10x + 12

= x² + 2(5x) + 5² - 5² + 12

= [x² + 2(5x) + 5²] - 5² + 12

= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]

= (x + 5)² - 13

Question (2)

y² - 6y - 15

= y² - 2(3y) - 15

= y² - 2(3y) + 3² - 3² - 15

= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]

= (y - 3)² - 3²- 15

= (y - 3)² - 9 - 15

= (y - 3)² - 24

6 0
3 years ago
Akiko is multiplying -15 by a positive integer. Which of the following statements describes the product Akiko should get?
Lesechka [4]

Answer:

Step-by-step explanation:

-15

8 0
3 years ago
How can you indentify the opposite and the absolute value of a rational number?
defon
View the absolute value of a number as its distance from zero. When you take the absolute value of a number, you always end up with a positive number (or zero). Whether the input was positive or negative (or zero), the output is always positive (or zero).

Hope it helped
5 0
3 years ago
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