12
--------------------------
Answer:
Base: 8cm. Height: 21cm
Step-by-step explanation:
We know that the base of a rectangle is 13 cm. longer than the height and the perimeter is 58 cm. Here is how we would set up the problem:
2x+2(x+13)= 2x + 2x + 26 = 4x + 26 = 58 (now we use the distributive property:
4x + 26 = 58
-26 -26
4x = 32
So, the base is 8 cm.
Now it's time to find the height.
So, we know the base (in total) is 16 cm. Now we do 58-16=42. Now we divide 42 divided by 2 = 21 cm.
Answer:
Relative frequencies
First row
0.8125 ,0.1875 ,16
Second row
0.555 ,0.444 ,9
third row
18 , 7 , 25
Step-by-step explanation:
Given data
allowance No allowance total
Chores 13 3 16
<u>No chores 5 4 9</u>
<u>Total 18 7 25</u>
<u><em>Relative frequencies</em></u>
allowance No allowance total
Chores
16
No chores
9
Total <u> 18 7 25</u>
The slope m of a line passing through points P(a, b) and Q(c, d) is found using the formula:

.
Thus, the slope in A is

.
The slope in B is

.
Now, to compare 7/6 to 5/3, we can write the second fraction as 10/6.
So, the slope in A is larger than the slope in B.
Answer: A