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Genrish500 [490]
3 years ago
6

A shopper seeking a bargain combined a 25% off coupon and brought enough money to cover 25% of the base price. Why did this shop

per go home disappointed?
Mathematics
1 answer:
zheka24 [161]3 years ago
7 0

Let's pretend the base price is $100

If the shopper brings enough money to cover 25% of the base price then they are bringing $25

The bargain promises 25% off of the base price of $100, meaning that the bargain price will be $75

The shopper cannot purchase the item because they only brought $25 when they should have brought $75

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You want to figure out what the variables equal to, all of these are parallelograms meaning opposite sides and angles are equal to each other.

In question 1 start with 3x+10=43, this means that 3x is 10 less than 43 which is 33, 33 divided by 3 is 11 meaning x=11.

Same thing can be done with the sides 124=4(4y-1), start by getting rid of the parentheses with multiplication to get 124=16y-4, this means that 16y is 4 more than 124, so how many times does 16 go into 128? 8 times, so x=11 and y=8

Question 2 can be solved because opposite angles are the same in a parallelogram, so u=66 degrees

You can find the sum of the interial angles with the formula 180(n-2) where n is the number of sides the shape has, a 4 sided shape has a sum of 360 degrees, so if we already have 2 angles that add up to a total of 132 degrees and there are only 2 angles left and both of those 2 angles have to be the same value then it’s as simple as dividing the remainder in half, 360-132=228 so the other 2 angles would each be 114, 114 divided into 3 parts is 38 so u=66 and v=38

Question 3 and 4 can be solved using the same rules used in question 1 and 2, just set the opposite sides equal to each other
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