Answer: Provided.
Step-by-step explanation: We are given two lines 'h' and 'k' which are parallel to each other. Also, there is another line 'j' that is perpendicular to line 'h'.
We are to prove that line 'j' is perpendicular to line 'k'.
Let, m, n and p be the slopes of lines 'h', 'k' and 'j' respectively.
Now, since line 'h' and 'k' are parallel, so their slopes will be equal. i.e., m = n.
Also, lines 'h' and 'j' are perpendicular, so the product of their slopes is -1. i.e.,
m×p = -1.
Hence, we can write from the above two relations
n×p = -1.
Thus, the line 'j' is perpendicular to line 'k'.
Proved.
The value of n is 11.
<u>Step-by-step explanation</u>:
The given expression is (n-9) ÷ 10 = -2
<u>To find the value of n</u> :
- From the expression, it is determined that (n-9) is the numerator and 10 is the denominator.
- Cross multiply the denominator in the left side of the expression to the another side.
The expression becomes (n-9) = (10
-2).
⇒ n-9 = -20
Keep the n term on one side and the constants on other side.
⇒ n = -20+9
⇒ n = -11
Therefore, the value of n is 11.
Answer:
How many candy bars did he have in total?
Step-by-step explanation:
Make your question answerable, please
Answer:
Volume = 120 cubic cm
Step-by-step explanation:
We would apply the formula for determining the volume of a square bases pyramid which is expressed as
Volume = 1/3 x base area x height
From the diagram,
length of square base = 6 cm
The base area = 6^2 = 36
height = 10
Thus,
Volume = 1/3 x 3/6 x 10
Volume = 120 cubic cm
I hope this help you! :)
