Answer:
Step-by-step explanation:
As per midsegment theorem of a trapezoid,
Segment joining the midpoints of the legs of the of the trapezoid is parallel to the bases and measure half of their sum.
Length of midsegment = 
3). MN = 
= 14
4). MN = 
= 66.5
5). MN = 
7 = 
14 = AB + 10
AB = 14 - 10
AB = 4
6). 15 = ![\frac{1}{2}[(3x+2)+(2x-2)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%283x%2B2%29%2B%282x-2%29%5D)
30 = 5x
x = 6
A segment bisector is a geometric figure that divides the line segment exactly in half.
Vertical angles theorem states that vertical angles, angles that are opposite to each other and formed by two intersecting straight lines, are congruent.
Answer:

Step-by-step explanation:
We have the compound inequality:

Let's solve each of them individually first:
We have:

Divide both sides by 2:

Add 1 to both sides:

We have:

Subtract from both sides:

Divide both sides by -4:

Hence, our solution set is:

Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformations are<em> reflection, rotation, translation and dilation.</em>
Translation is the movement of a point either <em>up, left, right or down</em> in the coordinate plane.
Triangle ABC is translated 3 units to the left and downward 10 units to form triangle A'B'C', then dilated by a factor of 2 to form triangle A''B''C''.
Hence:
Triangle A"B"C" are similar triangles to triangle ABC and all corresponding angles are congruent. Also, triangle A"B"C" is twice the size of triangle ABC.
Find out more on transformation at: brainly.com/question/4289712
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Answer:
False: A function is a rule that assigns each vale of the independent variable to exactly one vale of the dependent variable.
Step-by-step explanation: