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
Let w = number of weeks.
In week w,
Laura has: 720 + 30w
Taylor has: 1200 - 30w
Set the two amounts equal and solve for w, the number of weeks.
720 + 30w = 1200 - 30w
60w = 480
w = 8
They will have the same amount of money in 8 weeks.
Laura will have in 8 weeks:
720 + 30w = 720 + 30 * 8 = 720 + 240 = 960
Taylor will have in 8 weeks:
1200 - 30w = 1200 - 30 * 8 = 1200 - 240 = 960
They will both have $960 in 8 weeks.
X = -126/5 or -25.2 or -25 1/5
The formula in computing the area of the circle is:
A = pi (r)^2
Where r = the radius of the circle
Since you are only given the diameter of the circle, you
have to solve for its radius. The radius of the circle is half its diameter. Therefore,
the radius of the circle is 5 (10/2).
Now, you substitute the measurements to the formula:
A = 3.14 (5)^2
A = 3.14 (25)
A = 78.5 sq. units
7 brown, 3 yellow, 8 red...total of 18 cards
there are 15 cards not yellow and a total of 18 cards....so the probability of not picking a yellow card is : 15/18 rounds to 5/6
