we know that
If the ΔABC and ΔXYZ are similar. then the corresponding sides of the triangles are proportional
we have
Find the ratio
substitute the values
Simplify Divide by 
both numerator and denominator
therefore
<u>the answer is</u>
The factors of this expression are 34, x, and y.
The coordinate of the midpoint of line segment LT is determined as: -12.
<h3>How to Find the Coordinate of the Midpoint of a Line Segment?</h3>
The midpoint of a line segment is the point where the distance between the endpoints of the line segment are equidistant. The distance from that midpoint to each endpoint is the same.
Given the following:
- Coordinate of point L is: -35
- Coordinate of point T is: 11
Distance from point L to T = |-35 - 11| = 46 units.
Half of 46 units would be: 46/2 = 23 units.
This means that, both point L and point T are 23 units from the midpoint of segment LT.
Thus, the coordinate of the midpoint would be 23 units from -35 = -35 + 23 = -12
Or 23 units from the midpoint to point T = 11 - 23 = -12
Therefore, the coordinate of the midpoint of line segment LT is determined as: -12.
Learn more about the midpoint of a segment on:
brainly.com/question/19149725
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Answer:
A
Step-by-step explanation:
Given
12x + 7 < - 11 or 5x - 8 > 40
Solve each inequality
12x + 7 < - 11 ( subtract 7 from both sides )
12x < - 18 ( divide both sides by 12 )
x < -
OR
5x - 8 > 40 ( add 8 to both sides )
5x > 48 ( divide both sides by 5 )
x > 
Solution is
x < - or x > → A
