Plot the given point B(3,5) and a vertical line through it:
Next draw several possibilities for A(x,3), for instance
A(-4,3), A(-1,3), A(1,3), and A(5,3
Draw a line through them:
Now you can see that the only value of x is the value where the
blue line crosses the green vertical line, which is at A(3,3)
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Answer:
x = -3.5
Step-by-step explanation:
-2(5x – 3) = 41
-10x + 6 = 41
-10x + 6 - 6 = 41 - 6
-10x/-10 = 35/-10
x = -3.5
Using vertical angles, it is found that:
A. The solution for y is of y = 4.
B. The angle measures are given as follows:
<h3>Vertical Angles</h3>
If two angles are opposite by the same vertex in crossing segments, these angles are called vertical angles, and they are congruent, that is, they have the same measure.
In the context of this problem, the angles of 6y + 42 and of 66 are vertical, hence the value of y is calculated as follows:
6y + 42 = 66
6y = 24
y = 24/6
y = 4.
Angles A and C are supplementary, meaning that the sum of their measures is of 180º, hence:
<C + 66º = 180º
<C = 180º - 66º
<C = 114º.
Angles C and D are vertical, hence the measure of angle D is calculated as follows:
<D = 114º.
More can be learned about vertical angles at brainly.com/question/1673457
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