Answer:
your question is incomplete! :)
Answer:
L = 55 in, W = 20 in
Step-by-step explanation:
Hi there!
First we have to set up an equation for the length, which can be written as 3x - 5.
The formula for perimeter of a rectangle is 2l + 2w = p, so we can plug in some values here.
l = 3x - 5
w = x
Now we just have to solve!
When we combine like terms and add ten to both sides, we are left with
, which means x = 20
Using this, that means the width is 20
We can find the perimeter by plugging 20 in for x.
This means the length is 55.
Answer:
<ACB is supplementary to the < ECD by the definition of supplementary angles. Therefore the first part of your answer is <ACB = <ECD
We know that similar triangles have the same corresponding angle measurements for their angles and therefore one of the triangles is just a scaled up or down version of the original. Triangle EDC is a scaled down version of ABC. Therefore, the corresponding sides of triangle ECD have the same ratio to the corresponding sides of ABC. For example line segment EC and BC are corresponding line segment and lets find the ratio: 14/21 = 2/3
THe ratio of EC to BC is 2/3 and the ratio of CD to AC is also 2/3 (18 / 27=2/3)
Therefore, CE / BC is equal to DC / AC
Your full answer is
<ACB = <ECD, CE / BC = DC / AC
So triangle ABC ~ triangle CDE
Step-by-step explanation:
When you first pick a ticket, there are 2 winning tickets and 40 total tickets. This means that there is a 2/40 chance of your ticket being a winning one. This fraction can be reduced to 1/20.
After this, there will be 1 winning ticket left and 39 total tickets. There is a 1/39 chance of the next ticket being a winning one. We multiply these two fractions together to get our answer. 1/20 * 1/39 = 1/780, so there is a 1/780 chance of having 2 winning tickets.
Answer:
994.5
Step-by-step explanation:
First, you need to figure out how many people are actually attending the event. It says that there are 50% more so we are going to have to add 56% of 150 to 150.
150 x 0.56 = 84
150 + 84 = 234
Now, we have to multiply this by 4.25, because this is the cost of the food per person.
234 x 4.25 = 994.5