Answer:
I just did this lesson; this answers are right.
1: Given 1: ∠1 = ∠2, ∠3 = ∠4, D is midpoint of segment BE, BC = DE
2: BD = DE 2: Definition of midpoint
3: BC = BD 3: Substitution
4: Triangle ABD congruent to Triangle EBC 4: ASA
5: ∠A = ∠E 5: CPCTE
Step-by-step explanation:
Area = 7x + 3
Perimeter = 14x + 6
Answer:
Step-by-step explanation:
Given
Required
The perimeter
First, calculate the distance between each point using:
So, we have:
So, the perimeter (P) is:
Answer:
<em>p</em> = 2
Step-by-step explanation:
Happy to help.
When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:
2(3 + 4) = 2(7), or 14.
But, the two can also be distributed into both numbers in the parenthesis, like this:
2(3 + 4) = 2*3 + 2*4
That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.
9(<em>p</em> - 4) = -18
9*<em>p</em> - 9*4 = -18
9<em>p</em> - 36 = -18
Add 36 on both sides to isolate the variable (in this case, <em>p)</em>
9<em>p</em> = -18 + 36
You can also write it like this; 9<em>p</em> = 36 - 18
9<em>p</em> = 18
Divide 9 to isolate <em>p</em>
<em>p</em> = 2
So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!
Good luck!
