9514 1404 393
Answer:
x = 22.5°
Step-by-step explanation:
The interior angle at E is (180 -4x), the supplement of the exterior angle there, 4x. The sum of angles 2x and (180-4x) will be equal to 6x, because alternate interior angles at transversal BE are congruent:
2x +(180 -4x) = 6x
180 = 8x . . . . . . . add 2x and simplify
22.5 = x . . . . . . . divide by 8
The value of x is 22.5°.
3x + 4y = 16 Write original equation
3x + 4y - 4y = -4y + 16 Subtract 4y from each side
3x = -4y +16 Simplify
3x/3 = -4y/3 + 16/3 Divide each side by three
x = -4y/3 +16/3 Simplify
I hope this helps!
The percent of said number must be over 100% because 100% is the whole value of a number
Ex:
105% of 20 is 21 because, 100% of 20 is 20 and 5% of 20 is 1
150% of 20 is 30 because, 100% of 20 is 20 and 50% of 20 is 10
Hope this helps
The graph that represents the inequality has been shown in the attachment.
<h3>How to solve for the graph</h3>
We have these equations
y ≤ −3x + 1
y ≤ x + 3
We remove the inequality sign from both of these equations
y = −3x + 1
y = x + 3
−3x + 1 = x + 3
such that
x = -0.5
we use this value for x in any of the equations
x + 3 = -0.5 + 3
= 2.5
the point of intersection is at 2.5, -0.5
we test for the origin. 0,0
3x + 1
= 3*0 + 1
= 1
for x + 3
0+3 = 3
This is 0≤1 and 0≤3
Hence the graph should be shaded to the origin.
Read more on a graph here: brainly.com/question/14030149
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