Answer
Find out the value of x.
To prove
Definition of mid- segment
It is a segment connecting the midpoints of two sides of a triangle.
It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
As shown in the triangle given below.
As given
DE = 5x and BC = 11x – 15
Thus




15 = 11x - 10x
15 = x
Therefore the value of x is 15 .
Answer:
It's 1/6, hope this helps!
The length of HJ is 3.5 cm
<h3>What is Congruency?</h3>
Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.
Given:
AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm
As, ΔABC ≅ ΔHJK
So,
AB = HJ
BC = JK
AC = HK
Thus, HJ= AB = 3.5 cm
Learn more about this concept here:
brainly.com/question/4229988
#SPJ1
Answer: 3x-2y=24 in slope intercept form is 
The graph of the equation is in the attachment
Step-by-step explanation: Slope intercept form is y = mx + b
m is the slope b is the y-intercept x is the "input" in the equation y is the "output" or the y-value in the graph for a given x-value.
You need to rearrange the standard form to slope-intercept to isolate y on the left side of the equation.
3x - 2y = 24 Standard form. Subtract 3x from both sides.
-2y = -3x + 24 divide both sides by -2
-2y/-2 = -3x/-2 + 24/-2 . Simplify.
y = 3x/2 - 12 .
To clarify the slope as a fraction

-3(c-10) + -4= 2
-3c+ 30+ -4= 2
-3c + 26= 2
-3c= -24
C= 8