Answer:
See the proof below
Step-by-step explanation:
Let the line AB be a straight line on the parallelogram.
A dissection of the line (using the perpendicular line X) gives:
AY ≅ BX
Another way will be using the angles.
The angles are equal - vertically opposite angles
Hence the line AY ≅ BX (Proved)
Take 3 out of both of them
3(5x+2)
Answer:
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Step-by-step explanation:
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Answer: 71 coins
Step-by-step explanation:
First and foremost, we should note that:
12 months = 1 year
2 years = 12 × 2 = 24 months
Since she has 25 coins in her first month and adds 2 coins to her monthly collections, this means that she has 23 more months. This can be expressed as:
= 25 + 2x
where, x = number of months
= 25 + 2(23)
= 25 + 46
= 71 coins
She will have 71 coins after 2 years.
2x² = 7x + 6
Subtract both terms so that we can get 0 on one side.
2x² - 7x - 6 = 0
Find what factors of - 12 (2 * - 6) add up to be - 7. It's - 4 and - 3.
2x² - 4x - 3x - 6 = 0
2x(x - 2) - 3(x - 2) = 0
(x - 2)(2x - 3) = 0
Now set each equal to 0.
x - 2 = 0
x = 2
2x - 3 = 0
2x = 3
x = 3/2
x = 3/2, 2
