-43 - 4r = 3 - 27r
Add 27r to both sides. -43 - 4r + 27r = 3 -27r + 27r or -43 + 23r = 3
Add 43 to both sides. -43 + 43 +23r = 3 + 43 or 23r = 46.
Divide both sides by 23 to get r by itself. 23r / 23 = 46 / 23 or r = 2
r = 2
Answer:
k = 140°
Step-by-step explanation:
The sum of the interior angles of any triangle = 180°.
64° + 76° + x = 180°
x = 40°
40° + k = 180° because they are supplementary angles
k = 140°
2(5-n) can be an expression of "twice the difference of 5 and n".
-2y + 5z = -3
y = -5x - 4z - 5
x = 4z + 4
-2(-5(4z + 4) - 4z - 5) + 5z = -3
-2(-20z - 20 - 4z - 5) + 5z = -3
-2(-20z - 4z - 20 - 5) + 5z = -3
-2(-24z - 25) = -3
48z + 50 = -3
<u> - 50 - 50</u>
<u>48z</u> = <u>-53</u>
48 48
z = -1⁵/₄₈
x = 4(-1⁵/₄₈) + 4
x = -4⁵/₁₂ + 4
x = ⁵/₁₂
y = -5(⁵/₁₂) - 4(-1⁵/₄₈) - 5
y = -2¹/₂ + 4⁵/₁₂ - 5
y = 1¹¹/₁₂ - 5
y = -3¹/₂
(x, y, z) = (⁵/₁₂, -3¹/₂, -1⁵/₄₈)
Answer: yes
Step-by-step explanation:
yes
