Answer:
See below
Step-by-step explanation:
Here we need to prove that ,
Imagine a right angled triangle with one of its acute angle as 
.
- The side opposite to this angle will be perpendicular .
- Also we know that ,
And by Pythagoras theorem ,
Where the symbols have their usual meaning.
Now , taking LHS ,
- Substituting the respective values,
Since LHS = RHS ,
Hence Proved !
I hope this helps.
Answer:
y=4/5x
Step-by-step explanation:
y=mx+b
plug in y and x into each equation and solve!
4=5m+b
8=10m+b
4=5m
m=4/5
b=0
y=4/5x+0
Solution: Z= -9
Reasoning: -6 - 3 = -9
Answer:
y= 5x+20
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
The slope is 5 and a point on the line is (-4,0)
Substituting this information into the equation, we can solve for b
0 = 5(-4) +b
0 = -20+b
Add 20 to each side
0+20 = -20+20+b
20 = b
y = 5x+20
Answer:
105°
Step-by-step explanation:
11x-5 + 6x+5 + x = 180
18x = 180
x = 10
m∠Q = 11(10)-5 = 110-5 = 105°
