Answer:
base = b = 5
height = h = 13
Step-by-step explanation:
Given Data:
Area of Parallelogram = A = 65 
base = b = x -4
height = h = x+4
Formula:
A = b×h
Solution:
A = b×h
65 = (x-4)×(x+4)
65 =
∴ (a-b)(a+b) = 
65 = 
= 65 + 16
= 81



Now,
base = b = x -4 = 9-4
base = b = 5
height = h = x+4 = 9+4
height = h = 13
<em>1.) </em><em>510 miles</em>
<em>Take the values you have been given which is 153 miles and 3 gallons of gas </em>
<em>Now divide 153 by 3 to find put the Miles per gallon (MPG)</em>
<em>153/3=51</em>
<em>now take 51 and multiply it by 10</em>
<em>51x10=</em><em>510</em>
<em>2.) </em><em>$16 per yard of plywood</em>
<em>Let's take the values we have been given </em>
<em>3/4 of a yard of plywood and $12 for it</em>
<em>Now let's divide it </em>
12/ 3/4=$16
Answer:
-34.64
Step-by-step explanation:
-20.3-14.34
-34.64
Answer:
Side-side-side postulate
Step-by-step explanation:
In the first statement, we are given that AC = BD ....... (1){It is given}
Now, in the second statement, we are given that AB = DC ...... (2){ Because the parallelogram has equal opposite sides}
Now, again we are given that AD = DA ........... (3) {From the symmetric property}
Now, conditions (1), (2), and (3) are applicable to say that Δ ABD and Δ ACD are congruent.
Since there are three sides involved to say Δ ABD ≅ Δ ACD, so it is by Side-side-side postulate. (Answer)
Answer:
4
Step-by-step explanation:
To simplify
÷ 
Change division to multiplication and turn the second fraction upside down, that is
× 
Cancel the factor (x + 3) on the numerator/ denominator , leaving
= 4