Answer:
8A + 11A = A(19)
Step-by-step explanation:
8A + 11A
= A(8 + 11) Factor out the common factor A
= A(19)
Answer:
The measure of the two supplementary angles are 65 degrees and 115 degrees.
Step-by-step explanation:
The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,
According to given condition,
One supplementary angle is 15 degrees less than twice the other, it means,
Putting the value of x from above equation in equation (1),
Now put the value of y in equation (1), so,
So, the measure of the two supplementary angles are 65 degrees and 115 degrees.
Well perimeter is lengthx2 and widthx2 so 7x2=14
then 64-14=50
50÷2= 25
length=25
The first step to solving a story problem is identifying variables. For this problem, I will identify the variables as:
D = Drew's age
J = Jimmy's age
Once the variables are identified, we need to find as many equations as we have variables. Since we have two variables, we will have to write two equations.
Since Drew is 3 years younger than Jimmy: D + 3 = J
Since the sum of the brothers' ages is 21: D + J = 21
Once I have two equations is two variables, I can solve the system using either substitution method or elimination method. For this problem, I will use substitution method.
D + J = 21 Equation 2
D + (D + 3) = 21 Substitution of value of J from equation 1 into equation 2
D + D + 3 = 21 Associative property of addition
2D + 3 = 21 Simplify
2D + 3 - 3 = 21 - 3 Subtract 3 from each side
2D = 18 Simplify each side
2D/2 = 18/2 Divide each side by 2
D = 9 Simplify each side
Now that we have D, we can substitute it into equation 1 to get the value of J
D + 3 = J Equation 1
9 + 3 = J Substitution
12 = J Simplify
