Answer:
The dimensions are length=32 inches and width=24 inches
Step-by-step explanation:
Recall that perimeter of a rectangle is

The ratio of its length to width is 4:3.
This implies that,

We substitute P=112 inches, and l in terms of w to get;





The length is

30 apples bc 5x6 (5 six times) =30
Answer:
8 is the slope . I got m=8 but I got confused where m came from .
We can use elimination for these set of systems.
First, we need to set up our variables.
Belts=b
Hats=h
Now, the situation is 6 belts and 8 hats for $140. The situation after is 9 belts and 6 hats for $132.
Let’s set up our system of equations.
6b+8h=140
9b+6h=132
We need to eliminate a variable. Since b has coefficients of 6 and 9, we can easily eliminate b by multiplying the top equation by 3 and the bottom by -2.
18b+24h=420
-18b-12h=-264
Now let’s add.
12h=156
Let’s divide to get h by itself.
156/12=13=h
So a hat costs $13. We need to put in 13 for one of the equations so we can find the cost of a belt.
9b+6(13)=132
9b+78=132
We need b by itself.
9b=54
54/9=6
Belts are $6
We can also use the first equation to check our answers.
6(6)+8(13)
36+104
140.
So, the price of a belt is $6 while the price of a hat is $13.
Answer:
x=4
Step-by-step explanation:
In triangle MLK
- it is a equilateral triangle
- Hence
- ML=LK=MK=5
Now come to triangle MKJ
- It is a isosceles triangle
- Hence
- MJ=Mk
MK=5
Hence



