Step-by-step explanation:
<h3>>> ▪︎ 3x-ax=2x+5 ▪︎<< </h3><h3>>> ▪︎ 3x-ax-2x=5 ▪︎<<</h3><h3>>> ▪︎x(3-2-a)=5 ▪︎<<</h3><h3>>> ▪︎x=5/1-a ▪︎<<</h3>
Answer:
Sorry I know that im late responding but better late then never
Step-by-step explanation:
A: It’s a rectangle.
B: Opposite sides are congruent.
D: Opposite sides are parallel.
E: All angles are right angles.
In shorter words the answer is
A, B, D, E.
You are welcome :D
Answer:
VP = 117 mm
Step-by-step explanation:
Corresponding sides of similar quadrilaterals are proportional.
VP/FD = BP/KD
VP = FD·BP/KD = (45 mm)·(78/30) . . . . multiply by FD; fill in the givens
VP = 117 mm
Answer:
6
Step-by-step explanation:
Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:
120/(n+24) = (120/n) -16
Multiplying by n(n+24) gives ...
120n = 120(n+24) -16(n)(n+24)
0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms
n^2 +24n -180 = 0 . . . . . . . . . . . . . divide by -16 to make the numbers smaller
(n +30)(n -6) = 0 . . . . . . . . . . . . . . factor the quadratic
The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.
The woman bought 6 items.
_____
Check
When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.
