Answer:
The original price is $650
Step-by-step explanation:
There's an actual algebra method for this, but this is my method because I find it way easier to remember.
Since the most you can discount out of an item is 100% (well, it's considered free then) let's subtract 100 - 34, which is 66.
Now, turn it into a decimal because it makes the numbers easier- 0.66.
Since when you're finding the discount of an original price, you multiply the original price by the discount- instead for finding the original price for a discounted item we divide $429 by 0.66 instead, since when you divide a number by another number that's under 1 the quotient is a larger number.
So, 429 ÷ 0.66 = 650.
Therefore, the original price of the $429 sale price for a 34% discount is $650.
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=−845
Step-by-step explanation:
Start by using trig to find the length of the line LJ
The triangle KJL (big right angled triangle) has been given the following dimensions
Hypotenuse =

The adjacent angle is 30 degrees
Since we have the hypotenuse and the angle we must use the equation
opposite = Sin(angle) x Hypotenuse
Opposite= sin30 x

Opposite=

Therefore line LJ is

Now look at the smaller right angled triangle (LMJ)
Hypotenuse is the line LJ which is

The adjacent angle is 45
Since we have hypotenuse and angle we must use the equation opposite = sin(angle) * h
therefore
x=

* sin45= 4