MATHEMATICS HIGH SCHOOL

Given that j || k, what is the measure of the missing angle?A) 30°
B) 40°
C) 60°
D) 120°

Answers

Answer 1

Answer:

Answer:

the measure of the missing angle is 60°

Step-by-step explanation:

GIVEN : j || k

solution :

We will use the property of linear pairs

120° + ∠1 = 180° (sum of linear pairs is 180°)

⇒ ∠1 = 180°- 120°

⇒∠1 = 60°

now since j || k

So, we can use corresponding angle properties

So, ∠? = ∠1 (corresponding angles are equal)

⇒∠? = ∠1 = 60°

Thus ? = 60°

Answer 2

Answer: 60 degrees or C. Since the missing angle is the opposite of the 120 degree angle, 180 degrees minus(since that is the amount of degrees in a straight line, and a circle contains 360 degrees) the other angle gives you your answer.

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Answers

  y = |x - 3|
  3x + 3y = 27
3x + 3|x - 3| = 27
3x + 3|x - 3| = ±27
3x + 3|x - 3| = 27 or 3x + 3|x - 3| = -27
3x + 3(x - 3) = 27      or       3x + 3(x - 3) = -27
3x + 3(x) - 3(3) = 27   or    3x + 3(x) - 3(3) = -27
  3x + 3x - 9 = 27     or         3x + 3x - 9 = -27
  6x - 9 = 27         or           6x - 9 = -27
  + 9   + 9 + 9   + 9
6x = 36               or               6x = -18
6 6 6 6
x = 6        or        x = -3
y = |x - 3| or y = |x - 3|
y = |6 - 3| or y = |-3 - 3|
y = |3| or y = |-6|
y = 3 or y = 6
(x, y) = (6, 3)    or       (x, y) = (-3, 6)

The two systems of equations of the graph is only equal to (6, 3). It is not equal to (-3, 6) because one of the systems of equations - y = |x - 3| - only has one solution to the function. So the answer to the problem is 3 - (6, 3) is the solution to the system because it satisfies both equations.

If you can’t see it’s (2/5)^2

Answers

Answer: 0.16

Step-by-step explanation:

2/5=.4

.4^2=0.16

Answer:

0.16

Step-by-step explanation divide 2 with 5 you get 0.4. After that you have an exponent. You will take 0.4 to the 2nd power

You have been cleaning diesel dispensers for 35 minutes. You have completed 6 of them . how many minutes has it taken you to clean 1 dispenser?

Answers

35÷6=7
so 7 minutes to clean 1 dispenser

The value of a book is $150 and decreases at a rate of 4% per year. Find the value of the book after 12 years

Answers

If it decreases at 4% every year, then its value becomes:

100% - 4% = 96% = 96/100 = 0.96

At the end of the 1 year its value becomes: 150*(0.96)

At the end of the 2 years its value becomes: 150*(0.96)*(0.96) = 150*(0.96)²

At the end of the 3 years its value becomes: 150*(0.96)*(0.96)*(0.96) = 150(0.96)³

So similarly at the end of 12 years, its value becomes 150*(0.96)¹²

=50*(0.96)¹² simplify with calculator.

≈ 91.91

Value at the end of 12 years becomes ≈ $91.91

I hope this helps.

Ryker is given the graph of the function y= 1/2x^2 - 4 . He wants to find the zeros of the function but is unable to read them exactly from the graph. Find the zeros in simplest radical form

Answers

$y= (1)/(2)x^2 - 4 \n \ny=0 \n \n (1)/(2)x^2 - 4 =0\ \ / *2\n \nx^2-8 =0 \n \n(x-√(8))(x+√(8))=0 \n \n x-√(4 \cdot 2)=0 \ \ or \ \ x+√(4 \cdot 2)=0 \n \n x-2√( 2)=0 \ \ or \ \ x+2√( 2)=0 \n \n x=2√( 2) \ \ or \ \ x=-2√( 2)$