Answer:
y = |x| -13
Step-by-step explanation:
recall for any function y = f(x), to translate the function vertically by any value "a", we simply have to add "a" to f(x).
If a is positive, then the graph is translated in the positive y-direction (i.e upwards), if a is negative, then the graph is translated in the negative y-direction (i.e downwards)
In our case , the graph is translated vertically by 13 units (i.e a = 13) and it is to be translated downwards (i.e negative)
hence we add a= -13 to the original function.
y = f(x) + (-13)
y = |x| + (-13)
y = |x| -13
<span>1) supplementary angles => sum of angles' measure is 180°
Two lines intersecting creating four angles with the left obtuse angle labeled one and the acute angle to the right labeled two
= > angle 1 + angle 2 = 180°
Then those two match.
2) complementary angles => sum of the two angles = 90°
Two lines intersecting in a right angle with a square indicating a right
angle in quadrant one and a ray splitting quadrant two with a two
labeling the left angle and one labeling the angle on the right
=> angle 2 + angle 1 = 90°
Then those two match
3) vertical angles
Two parallel horizontal lines intersected by a vertical line with a
square indicating a right angle in quadrant one of the top line and a
one labeling the angle in quadrant two and two labeling quadrant four of
the top line
Those two matches because the angle label 1 and the angle label 2 are vertical angles as per the definittion.
4) adjacent angles
Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees
Those two match becasue the angle of 157° and the angle of X° are adjacent.
</span>
Answer:
value of expression = 12
Step-by-step explanation:
[(-10+2)-1]+(2+3)
= [(8)-1]+(5) ∵according to PEMDAS, we first solve the Parenthesis
= (7)+(5)
= 12
Answer:
The answer is D. -6
Step-by-step explanation:
Remember that the total of the angles always equals 180 degrees
4x + 2 + 8 + 6x + 30 = 180
Now solve
4x + 2 - 2 + 8 + 6x + 30 = 180 - 2
4x + 8 - 8 + 6x + 30 = 178 - 8
4x + 6x + 30 - 30 = 170 - 30
4x + 6x = 140
10x = 140
10x ÷ 10 = 140 ÷ 10
x = 14
Now that we know what x is we can fill in the blanks
4(14) + 2
58 + 2
58
Angle O is 58 degrees
8 + 6(14)
8 + 84
92
Angle R is 92 degrees
To check we can add them all up
30 + 58 + 92 = 180
x = 14
