Answer:
The answer is they are congruent.
Step-by-step explanation:
They have two congruent sides and share one side, so they are congruent by SSS.
I hope this helps! :)
Angles that equal 180 degrees
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
Answer:
The Sitting Store has a better price at $97.50 while The Dining Depot is at $107.95
Step-by-step explanation:
We need to write the equation in its vertex form so we have to know the general equation for the vertex form. It is written as:
y = (x - h)^2 + k
where h and k represents the point of the vertex.
We go as follows:
y = (x^2 + 4x) – 3
y +4= (x^2 + 4x+4) – 3
y = (x + 2)^2 - 7
Therefore, the correct answer from the choices is option B.
