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Answer:
angles 5,6 are supplementary
angles 7 and 4 are vertical angles
(one solution of many)
Step-by-step explanation:
Lets start with supplementary angles. those are two angles that add up to 180 degrees or make a straight angle. Two angles that fulfill this statement are 5 and 6 because 5 and 6 make a straight angle.
Now lets do vertical angles. Vertical angles are angles that are opposite of each. They are made by intersecting diagonals. One pair of angles that fulfill this are angles 7 and 4. if you can tell, they are opposite of each other.
supplementary= 5 and 6
vertical= 7 and 4
have a wonderful day!
Answer:
x - 2, if x > 5
Step-by-step explanation:
The vertical lines either side of the expression mean absolute value.
The absolute value of a number is its <u>positive numerical value</u>.
if x > 5 then as 5 > 2, the values inside the vertical lines will always be positive. Therefore, we can disregard the absolute value.
Therefore:
x - 2, if x > 5
To find the range (output values) of the expression, substitute x = 5 into the expression:
⇒ 5 - 2 = 3
Therefore, |x - 2| > 3, if x > 5
The answer is C. Would you like me to explain how I got that?
Answer:
D
Step-by-step explanation:
Given a quadratic equation in standard form : ax² + bx + c = 0
We can solve for x using the quadratic formula
x² + 2x + 9 = 0 ← is in standard form
with a = 1, b = 2 and c = 9
x = ( - 2 ±
) / 2
= ( - 2 ±
) / 2
= (- 2±
) / 2)
= (- 2 ±
) / 2
= ( - 2 ± 4i
) / 2
=
± 
= - 1 ± 2i
→ D