Answer:
B
Step-by-step explanation:
(3x+1) + (2x+8) = 180
5x+9=180
5x=171
Answer:
A(an) <u> altitude </u> of a prism is a perpendicular segment that joins the planes of the bases. (The height h is the length of one.)
Step-by-step explanation:
AN ALTITUDE - An altitude of a triangle is a line segment that passes through a vertex and is perpendicular to (i.e. forms a right angle with) the base line (the side opposite the vertex). The expanded base of the altitude is the line that contains the opposing side. The foot of the altitude is the point where the extended base meets the altitude. The area of a triangle can be calculated using altitudes: one half of the product of an altitude's length and its base's length equals the triangle's area. As a result, the longest altitude is perpendicular to the triangle's shortest side. Through trigonometric functions, the heights are also connected to the triangle's sides.
<u>Hence , the answer is an altitude .</u>
First equation is: x - y = 12
x = 12 + y
Now, substitute this in 2nd equation,
2x - 3y = 27
2(12+y) - 3y = 27
24 + 2y - 3y = 27
-y = 27 - 24
y = -3
In short, Your Answer would be -3
Hope this helps!
We can see that a and b are parallel, and c and e are parallel, so the correct option is E.
<h3>
Which line must be parallel?</h3>
On the diagram, we can see that the angles in the third quadrant of the intersections between a and c, and the intersections between b and c, are the same angle.
Then, lines a and b must be parallel.
For the intersections with line d, we can see that this time the angle is on the fourth quadrant, so c and d are not parallel.
Finally, for line e, we can see that the known angle is on the first quadrant.
Notice that the angle on the first quadrant will be equal to the angle on the third quadrant.
So for the intersections of a and e, and b and e, on the third quadrant we have the known angle (the same one as in the intersections of a and c, and a and b).
Then c and e are parallel.
Then A and C are true.
Thus, the correct option is E.
If you want to learn more about parallel lines:
brainly.com/question/24607467
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