Answer:
<em>See Reasoning Below</em>
Step-by-step explanation:
To prove that AB = BL, or in other words AB ≅ BL, let us consider the triangles CED and BEL. If we were to prove they were congruent, then by CPCTC ( corresponding parts of congruent triangle are congruent ) DC ≅ BL. As AB ≅ DC by " Properties of Parallelogram " it would be that through transitivity, AB ≅ BL / AB = BL;
Now for " part 2 " we can consider that AB = DC, from part 1. If AB = BL, then AL = 2 ( AB ) by the Partition Postulate. AB = DC, so we can also say that AL = 2 ( DC ) - Proved
See attachment in statement reasoning form for part 1;
Answer:
Step-by-step explanation:
The side triangles are: 352.35
Middle triangle is: 113.4
352.35 + 113.4 = 465.75
<span>The answer is B.
The reason being is that in this option they have set both sides of the equation separately equal to y. Since they are equal to each other, they would both have to be equal to an unknown y. This would look like this.
y = 1/4x - 3
y = 1/2x + 8.
Then to remove the fractions in each, they multiplied by the denominator associated with x. So, you multiply the first equation by 4.
4y = x - 12.
Then they solve for the numerical value at the end.
4y - x = -12.
You can do the same with the second equation.
y = 1/2x + 8
2y = x + 16
2y - x = 16
These are now the two equations above. </span>
You could write it as a fraction (3/4) or you could say "3 to 4".
Answer:
She paid 9% of sales tax
Step-by-step explanation:
The sale price of diamond = $375
Let x be percent of sales tax
So, amount of tax = 
So, Amount including tax = 375+3.75x
We are given that Bethany paid $408.75 for a pair of diamond stud earrings.
So, 375+3.75x=408.75
3.75x=408.75-375
x=9
Hence She paid 9% of sales tax
