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
Answer:
The Answer is: The y intercept form for a line that is parallel to the given equation and passes through the given point is: y = 1/2x + 6.
Step-by-step explanation:
Given a point: (4, 8)
Given and equation:
y = 1/2x - 3
Write an equation parallel that passes through the point (4, 8).
Start with the point-slope form of the equation, use the slope m = 1/2 from the given equation:
y - 8 = 1/2(x - 4)
Solve for y to get the slope intercept form:
y - 8 = 1/2x - 2
y = 1/2x - 2 + 8
y = 1/2x + 6
Proof:
Solve for f(x) when x = 4
f(4) = 1/2x + 6
= 1/2(4) + 6
= 2 + 6 = 8, giving the point (4, 8)
Range is all the y values included in the graph. Look at the image below for the y values:
As you can see the highest y value this graph reaches is 6 and the lowest is -5 therefore the range is...
-5 ≤ g(t) ≤ 6
Hope this helped!
~Just a girl in love with Shawn Mendes
Total number of pounds of garbage = 25 pounds.
Total number of plastic in 25 pounds of garbage = 16 pounds.
We need to find the percentage of plastic contain in total number of pounds of garbage.
<em>In order to find the percentage of the 16 pounds of plastic in 25 pounds of garbage, we need to divide 16 by 25 and then finally multiply by 100.</em>
On dividing 16 by 25 we get 0.64.
Now, we need to multiply 0.64 by 100, we get 64.
<h3>Therefore, 64 % of the garbage are plastic.</h3>
