Answer:
135
Step-by-step explanation:
x = 135 by the vertical angles theorem
Answer:
66
Step-by-step explanation:
Use the PEMDAS order. Multiplication comes before addition so it simplifies to 6(8)+(6)3
=48+18
=66
Answer:
1. 83.6
2. 24
3. 95/2
4. 3
5. 30
6. 84.5
Step-by-step explanation:
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:

Step-by-step explanation:
Since perimeter,
and we know that P=2(l+w) then 
The length will be 
Now 