Perimeter is 2width+2length
Therefore since you already know that the perimeter is 60 and the length is 14 you can set up the equation;
60= 2w+14
with this you then need to find w so;
60=2w+14
-14 -14
46=2w
(46/2)=(2w/2)
13=w
The width is 13
Answer:
<em>Riley has 72 tokens</em>
Step-by-step explanation:
<u>System of Equations
</u>
We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that
![x+y=135](https://tex.z-dn.net/?f=x%2By%3D135)
Solving for y
![y=135-x](https://tex.z-dn.net/?f=y%3D135-x)
The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as
![\displaystyle \frac{x}{y}=\frac{8}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B8%7D%7B7%7D)
Or equivalently
![7x=8y](https://tex.z-dn.net/?f=7x%3D8y)
Replacing y from the first equation
![7x=8(135-x)](https://tex.z-dn.net/?f=7x%3D8%28135-x%29)
Operating
![7x=1080-8x](https://tex.z-dn.net/?f=7x%3D1080-8x)
Simplifying
![15x=1080](https://tex.z-dn.net/?f=15x%3D1080)
![\boxed{x=72}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D72%7D)
Riley has 72 tokens
Answer:
CD = 5
Step-by-step explanation:
AC = 5
BC = 7
∆ACB ≅ ∆DCE, therefore,
AC = CD,
BC = CE, and,
AB = DE
Thus,
AC = CD = 5
CD = 5
Answer: ![\frac{13}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B24%7D)
Step-by-step explanation: 11/12 - 3/8
1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.
12: 12, 24, 36, 48, 60, 72, 84, 96
8: 8, 16, 24, 32, 40, 48, 56, 64, 72
2. Next, we will choose the smallest common multiple. That would be 24.
3. Now, we will work this out.
11/12 = 22/24
3/8 = 9/24
4. Subtract.
22/24 - 9/24
= 13/24
= ![\frac{13}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B24%7D)
I found the denomenators by multiplying.
Hope this answer helped!
Answer:
y=-3x+3
Step-by-step explanation:
your y in your points in the b in y=mx+b because it's the y intercept and then the slope is -3