Answer:
Yes.
Step-by-step explanation:
Set the equations equal to each other to determine their equality.
-4[3(x - 7)] = 6(14 - 2x)
Distribute the 3 and the 6 into their respective parenthesis.
-4[3x - 21] = 84 - 12x
Distribute the -4 into the brackets.
-12x + 84
Rearrange the equations.
84 - 12x = 84 - 12x
Since the equations come out to be the same thing on both sides so that any value satisfies it, the equations are equivalent.
1/3 times 1/5 equals 1/15. That is already simplified :).
Answer:
A.) The first graph
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
Supplementary angles are angles which add up to 180°
∠1 and ∠3 add up to 180°, so they are supplementary.
Answer:
3.16 units
Step-by-step explanation:
It has been given that the triangles JKL and the triangle RST are congruent.
That implies that, the length of the side JK, KL, and JL is equivalent to the length of the sides RS, ST, and RT respectively.
Now, to find the length of JK we need to find the length of the side RS. The coordinates of the points R and S are
and
.
The length of the side RS is equal to the distance between point R and S.
RS ![=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
![= \sqrt{(2-(-1))^2+(-1-(-(-2))^2}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%282-%28-1%29%29%5E2%2B%28-1-%28-%28-2%29%29%5E2%7D)
![=\sqrt{3^2+(-1+2)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B3%5E2%2B%28-1%2B2%29%5E2%7D)
![=\sqrt{9+1}=\sqrt{10}=3.16](https://tex.z-dn.net/?f=%3D%5Csqrt%7B9%2B1%7D%3D%5Csqrt%7B10%7D%3D3.16)
Now that we have the length of the side RS, and the triangles JKL and RST are congruent therefore, the length of the side JK is 3.16 units.