2.8 = 2 + 0.8
*let's analyze the decimal 0.8 as a fraction
0.8 = 8/10
*but if we divide the numerator and denominator by the same common factor of 2, we find that the fraction can be reduced to:
(8/2)/(10/2) = (4)/(5) = 4/5
*now evaluating the whole value of 2 (from the 2.8), we know there are a total of (5) - fifths in order to make a whole, so for 2 whole, we require:
2*(5/5) = (2*5)/5 = 10/5
*Now we add the fractions together:
2 = 10/5
0.8 = 4/5
10/5 + 4/5
*add numerators only, the denominator stays as a 5
(10 + 4)/5 = 14/5
*there are no common factors between 14 & 5 (other than 1, but that won't help reduce the fraction any), so the fraction is in it's simplest form:
answer is: 14/5
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Hope this helped and have an amazing day :)
-yO mAmA
Answer: The three methods most commonly used to solve systems of equation are substitution, elimination and augmented matrices.
Step-by-step explanation:
Substitution is a method of solving systems of equations by removing all but one of the variables in one of the equations and then solving that equation.
Elimination is another way to solve systems of equations by rewriting one of the equations in terms of only one variable. The elimination method achieves this by adding or subtracting equations from each other in order to cancel out one of the variables.
Augmented matrices can also be used to solve systems of equations. The augmented matrix consists of rows for each equation, columns for each variable, and an augmented column that contains the constant term on the other side of the equation.
Good evening
Answer:
<h2>measure of Angle 1 = 81°</h2><h2>Measure of angle 2 = 9°</h2>
Step-by-step explanation:
we need to solve this system
x + y = 90 (1)
x = y + 72 (2)
If we substitute x by y+72 into the equation (1) we will get
(y+72) + y = 90 ⇔ 2y + 72 = 90 ⇔ 2y = 90 - 72 = 18 ⇔ y = 9
then x = 90 - 9 = 81
:)
Step-by-step explanation:
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