m∠RSV = 3x + 5, m∠RST = 8x - 14 <em>given</em>
m∠RSV ≅ m∠VST <em>definition of segment bisector</em>
m∠RSV + m∠VST = m∠RST <em>angle addition postulate</em>
(3x + 5) + (3x + 5) = (8x - 14) <em>substitution</em>
6x + 10 = 8x - 14 <em>simplify (added like terms)</em>
10 = 2x - 14 <em>subtraction property of equality</em>
24 = 2x <em>addition property of equality</em>
12 = x <em>division property of equality</em>
Answer: x = 12
Answer:
<em>u</em> = 7.21
Step-by-step explanation:
The magnitude of <em>u</em> is just the distance between the two points. The coordinates of the left-most point are (-2,-8) and the coordinates of the right point are (4, -4). I'm assuming the x coordinates here because we don't actually know the scale.
Ok so from these points, you can draw a triangle (u can see it in the attached file).
From the coordinates we can tell the lengths of the sides, and the triangle shows that <em>u</em> is the hypotenuse of the triangle. This triangle is also a right triangle, so u can use Pythagoras' theorem to find the length of <em>u</em>.

Since c = <em>u</em>, we know now that the magnitude of <em>u</em> is 7.21
Hope this helps!
Answer:
B. Pentagon
Step-by-step explanation:
Pentagon (figure having 5 sides) is the shape of the cross-section of the figure.