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.
Answer:
-9.5 is larger by 2 units
Step-by-step explanation:
-9.5 - (-11.5)
= -9.5 + 11.5
= 2.
Answer:
= 78
= 3.5
Step-by-step explanation:
First we need to find
.
We can use the equation
to solve for
.
We can then change that equation to
, since the Commutative Property of Addition says that you can have any addition in any order.
Now, we can solve the equation.

Now that we solved
, we can now solve for
.
Since 25 equals
, we can solve the equation
.
Here is how you solve it:

Since
equals 3.5, which is the simplest form, that is the answer.
Hope this helps, and please mark me brainliest! :)
X+0.0825x=216.5
1.0825x=216.5
x=216.5 / 1.0825
x=200
Answer: C.) x=200
Step-by-step explanation:
First, you have to find what's the height of the shape and you also have to find the base. Then you multiply those together. If there 2 sides, multiply 2 and you will golet your answer.