Answer:
x=14/3
Step-by-step explanation:
5x-y=6
+ -2x+y=8
----------------
5x+(-2x)-y+y=6+8
5x-2x-y+y=6+8
3x=14
x=14/3
I apologize if something is incorrect, please me know how to fix it. Thank you!
Answer:
Step-by-step explanation:
we are given
y varies directly as x
so, we can write equation as
where
k is constant of proportionality
We have
at x=-1 , y=6
so, we can use it to find k
so, we get
now, we can plug it back
now, we can plug x=5
and we get
Answer:
x = 80, y = 122
Step-by-step explanation:
I got this equation by using vertical angles to create a complimentary angle pair (they sum to 90 degrees).
3/4x+2/5x-2=90°,
23/20x - 2=90°,
23/20x = 92°,
92/(23/20)
20/(1/4)
20(4)
= 80.
Since the angles are a linear pair on the left side(they sum to 180 degrees). Just subtract 180 from 3/4x-2 and substitute x into the expression.
180-(3/4(x)-2), 180-3/4(80)+2 = 120+2 = 122
Assuming that both triangles are an exact copy of one another, it is safe to assume that 3y-7 is equal to 41. Set up an equation
3y-7=41
Add 7 to both sides
3y=48
Divide both sides by 3
y=16
Now to find PN.
Based on what we know, we can assume that MP = PN. Let's make some equations!
MP = 17x-8 PN = 11x+4
17x-8 = 11x+4
Subtract 11x from both sides
6x-8 = 4
Add 8 to both sides
6x = 12
Divide by 2
x=2
Substitute 2 in for x in the equation for PN
11(2)+4
Multiply 11 by 2
22+4 = 26
PN = 26
