Solve:
We need to isolate k, so multiply both sides by the denominator, which is 64. When we do that, the fraction will cancel and we get:
If you want to check, plug in your answer to the original equation and see if it is true:
This statement is true, so .
DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
<h3>
Congruent shape</h3>
Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.
Given that DE = AB and BC = EF.
In right triangle DEF, using Pythagoras:
DF² = DE² + EF²
Also, In right triangle ABC, using Pythagoras:
AC² = AB² + BC²
But DE = AB and EF = BC, hence:
AC² = DE² + EF²
AC² = DF²
Taking square root of both sides, hence:
AC = DF
Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.
Find out more on Congruent shape at: brainly.com/question/11329400
Answer:
(3,2) Choice C
Step-by-step explanation:
x-2y = -1
2x+3y =12
multiply the first equation by -2
-2x +4y = 2
add the 2 equations together
2x+3y =12
-2x +4y = 2
-----------------
7y =14
divide by 7
y =2
x-2y = -1
x -2(2) = -1
x-4 = -1
add 4 to each side
x = 3
(3,2)
Answer:
14 = x
Step-by-step explanation:
1. 10 = -4 + x
Add 4 to both sides. 10+4 = 14.
That leaves you with 14 = x.
