1/5 (150x - 80y + 50 - 50x - 25y + 20) = 20x - 21y + 14
what I did is combined the like terms and multiplied each term within the parenthesis by .2
x - Alma's given number
15•x - the number multiplied by 15 (the correct answer)
5•x - the number multiplied by Alma (Alma's answer)
her answer is 150 less than the correct answer:
5•x = 15•x - 150
15x - 150 = 5x
15x - 5x = 150
10x = 150
<u>x = 15</u>
Answer:
One example is the equation:
2x + 6 = 4x/2 + 12/2
To solve this, we need to transpose like terms to the same side.
2x - 4x/2 = 12/2 - 6
2x - 2x = 6 - 6
0 = 0
Since both sides are zero, it means that the equation has infinite number of solutions.
Step-by-step explanation:
The sin A is equal to 12/13 and the tan (A) is equal to 12/5.
<h3>RIGHT TRIANGLE</h3>
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says:
. And the main trigonometric ratios are:

The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:
adjacent leg=5
hypotenuse=13
Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.

Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:

Finally, you can find the tan (A) since:

Learn more about trigonometric ratios here:
brainly.com/question/11967894
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