Answer:
I am having a hard time reading the letters, so I hope this makes sense. I think that the numbers for the top triangles is given is 6 and 3. That means that the scale factor from the little to the big is 2 and from the big to the little is 1/2. It is the same for the bottom triangles.
Step-by-step explanation:
If the triangles are similar the scale factors will be the same for all three corresponding sides of the triangle. You find the two sides that are corresponding and ask yourself what do I have to multiple the side of of triangle to get the new triangle.
If one side is 3 and the other triangles side is 6. I am asking myself what do I have to multiple 3 by to get 6? 2. That is my scale factor.
3x = 6
x = 2
The scale factors are always reciprocals of each other. If I go the other direction I can write the equation
6x = 3 and when I divide both sides by 6, I get a scale factor of 1/2.
The bottom triangles:
2.5 x = 5
x = 2
and
5x = 2.5
x =1/2
The original price of the sweater is $80 which is 100% of the price.
If the price is reduced by 25%, then the new price is 75% of the original price since 100% - 25% = 75%.
Now we need to find 75% of $80.
To find a percent of a number, multiply the percent by the number.
To convert a percent into a decimal, divide the percent by 100 which is the same as moving the decimal point two places to the left.
Here's how to change 75% into a decimal.
75% = 75/100 = 0.75
Here's how you calculate 75% of $80.
75% of $80 =
= 75% * 80
= 0.75 * $80
= $60
Answer: The sale price is $60.
Weird that the only choices are given as integrals with respect to
. (Integration along the
axis would be way easier, but whatever)
The fourth option should do it.
So for eliminating, you only solve for one variable first.
I solved for y, so I multiplied by -4 to eliminate the x.
Then I got y= -1
I then substituted that to one of the equations to get x.
