Answer: (4,4)
Step-by-step explanation:
(1,-4) reflected over the x-axis is (1,4). Then translated 3 units up is (4,4). Hope this helps
Answer:
Step-by-step explanation:
Angle EFB = 180 - 147 = 33 (Angles on a straight line add up to 180 degrees)
Angle FEB = 180 - 4x (Angles on a straight line add up to 180 degrees)
Since the angles in a triangle add up to 180 degrees ,
Remove brackets:
Add/Subtract:
Subtract 213 from both sides:
Divide both sides by -3:
Answer:
Option (B)
Step-by-step explanation:
From the graph attached,
There are two functions graphed,
y = f(x) and y = h(x)
h(1) = 0 [Output value of function 'h' at the input value x = 1]
Since, g[h(1)] = g(0)
Therefore, value of function 'h' (output value) at (input value) x = 0,
g(0) = -5
Option B will be the correct option.
Answer:
knew Orleans
Step-by-step explanation: i think i'm not really sure
Since <em>l</em> and <em>m</em> are parallel, the unlabeled angle adjacent to the 63° one also has measure (7<em>x</em> - 31)° (it's a pair of alternating interior angles).
Then the three angles nearest line <em>m</em> are supplementary so that
(7<em>x</em> - 31)° + 63° + (5<em>x</em> - 8)° = 180°
Solve for <em>x</em> :
(7<em>x</em> - 31) + 63 + (5<em>x</em> - 8) = 180
12<em>x</em> + 24 = 180
12<em>x</em> = 156
<em>x</em> = 13
The bottom-most angle labeled with measure (4<em>y</em> + 27)° is supplementary to the angle directly adjacent to it, so this unlabeled angle has measure 180° - (4<em>y</em> + 27)° = (153 - 4<em>y</em>)°. The interior angles of any triangle have measures that sum to 180°, so we have
(7<em>x</em> - 31)° + 63° + (153 - 4<em>y</em>)° = 180°
We know that <em>x</em> = 13, so 7<em>x</em> - 31 = 60. Then this simplifies to
123° + (153 - 4<em>y</em>)° = 180°
Solve for <em>y</em> :
123 + (153 - 4<em>y</em>) = 180
276 - 4<em>y</em> = 180
96 = 4<em>y</em>
<em>y</em> = 24
