Answer:
Side AC is congruent to side DF
Step-by-step explanation:
We are given that
Side AB=5 cm
BC=6 cm
Side DE=5 cm
Side EF= 6cm
We have to find an additional information would need to prove that
by SSS.
When two triangles are congruent by SSS it means three sides of one triangle are congruent to corresponding sides of other triangle.
We have in triangle ABC and triangle DEF



Then ,
DEF
Reason: SSS postulates
Answer: Side AC is congruent to side DF
To solve this you need to know Pythagorean theorem.
First, EG is 24, so the halfway points are 12. Knowing Pythagorean triples, you can use 5,12,13 and 12,16,20.
DF = 5+16
DF = 21
If you don't know Pythagorean triples, I have worked it out on the image attached.
The slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.
The given coordinate point is (-1, 5) and slope=-4.
<h3>What is the slope intercept form?</h3>
The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Substitute (x, y)=(-1, 5) and m=-4 in standard form of the slope intercept form, we get
5=-4×(-1)+c
⇒ c=5-4
⇒ c=1
Substitute m=-4 and c=1 in y=mx+c, we get
y=-4x+1
Therefore, the slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.
To learn more about the slope intercept form visit:
brainly.com/question/9682526.
#SPJ1
Cross multiply X×4=3×1
4x=3
X= 3/4