We are asked to show a proof that m∠1 is equal to 62° and the line l is parallel to line m which has an angle of 180°. If two lines are parallel the summation of angles are 180 degrees and they are also considered as a supplementary angle. Hence, by this we have formed the equation and solution below:
m∠l + m∠m = 180°
replacing the value of two angles, we have:
62° + 118° = 180°
180° = 180°
Therefore, the two lines are parallel.
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
Step-by-step explanation:
The LCM of 4 and 10 is 20.
10 math problems i think
i hope this helps
