Answer:
d. HL CBCTC
Step-by-step explanation:
The hypotenuse and one leg are congruent so the reason for congruency is HL.
<span>Width = 6
Length = 30
We know the perimeter of a rectangle is simply twice the sum of it's length and width. So we have the expression:
72 = 2*(L + W)
And since we also know for this rectangle that it's length is 6 more than 4 times it's width, we have this equation as well:
L = 6 + 4*W
So let's determine what the dimensions are. Since we have a nice equation that expresses length in terms of width, let's substitute that equation into the equation we have for the perimeter and solve. So:
72 = 2*(L + W)
72 = 2*(6 + 4*W + W)
72 = 2*(6 + 5*W)
72 = 12 + 10*W
60 = 10*W
6 = W
So we now know that the width is 6. And since we have an expression telling us the length when given the width, we can easily determine the length. So:
L = 6 + 4*W
L = 6 + 4*6
L = 6 + 24
L = 30
And now we know the length as well.</span>
<h3>
Answer: 16</h3>
Work Shown:
range = max - min = 10 - (-6) = 10 + 6 = 16
The range is the distance from the smallest item to the largest. Use of a number line might help sort out the values to see which is the smallest and largest.
Answer : b. $65.10
1 appetizer: $7.39=7.39
2 entrees: $16.99 each= 2 * 16.99=33.98
1 dessert: $5.29= 5.29
2 drinks: $2.30 each=4.6
cost = 7.39 + 33.98 + 5.29 + 4.6 =$51.26
7% tax = 51.26 * 0.07 = 3.5882
20% gratuity = 51.26 * 0.2= 10.252
Total cost = 51.26 + 3.5882 + 10.252 =65.1002
the total amount = $65.1
