Answer:
x=14
Step-by-step explanation:
11x+18=172, subtract 17 from both sides, 11x=154, divide 11 from both sides, x=14
Answer:
https://www.bartleby.com/solution-answer/chapter-91-problem-80es-mathematical-excursions-mindtap-course-list-4th-edition/9781305965584/solve-the-formula-for-the-indicated-variable-ana1n1dd-mathematics/b6652e41-6bcd-11e9-8385-02ee952b546e
Step-by-step explanation:
Obliviously check my work but if B is 42 then so is y. There are 360 degrees total so 360-2(42)= 276. Divide that by two and you get x=138
Because M is the midpoint of AB, then AM and MB are equal distances. And because a segment can be written as the sum of its pieces, AM + MB = AB.
So,
AM + MB = AB <--- distance of a segment is the sum of its pieces
AM + AM = AB <--- M is the midpoint, so AM = MB
3x + 3 + 3x + 3 = 8x - 6 <--- substituting known amounts that were given
6x + 6 = 8x - 6 <--- collect like terms on the left side
6x = 8x - 12 <--- subtract 6 on both sides
-2x = -12 <--- subtract 8x on both sides
x = 6 <--- divide both sides by -2
Because x = 6, we put it back into AM. 3(6) + 3 = 18 + 3 = 21
Thus, AM is 21 units.