The 3 sides of the triangle are PR = 8.4, OR = 5.4 and OP = 3.1
Step-by-step explanation:
Step 1 :
Given
PR = 3x - 0.6
OP = x + 0.1
OR = x + 2.4
Also the 2 sides OR and PR are said to be equal.
So we have OR = PR
=> 3x - 0.6 = x + 2.4
=> x = 2.4 + 0.6 => x = 3
Step 2 :
we have ,
PR = 3x - 0.6 = 3(3) - 0.6 = 8.4
OR = x + 2.4 = 3 + 2.4 = 5.4
OP = x + 0.1 = 3 + 0.1 = 3.1
Step 3 :
Answer :
The 3 sides of the triangle are
PR = 8.4
OR = 5.4
OP = 3.1
The Pythagorean theorem can be used to find the length of the diagonal (d) of a square.
d² = (3√2)² + (3√2)² = 18 + 18 = 36
d = √36 = 6
The measure of the diagonal is 6.
Answer:
(1,4)
x= 1
y= 4
(I checked on desmos and this is correct)
Step-by-step explanation:
I'm going to solve this by substitution
To do this we need to get a variable by istelf in any equation
We'll start with 18x-2y=10
We can add 2y and divide by 2 to get
y=9x-5
This is what y will equal for now and we can plug this in for y in the second equation
3x+16(9x-5)=67
This is rather easy to solve
147x-80=67
147x=147
this means that x=1
We can then use this value for x and plug it into any equation
let's just do the first one
18*1-2y=10
This is easy to solve as well and you should get
-2y=-8
y=4
this means that x=1
y=4
When handling problems of this nature make sure you setup the equations.
x = number of times they rent a boat.
Members
Cost = 105 + 9.50x
Non members because members don't have to pay the 105 we leave it out.
Cost = 14.75x
so now to determin when cost would be equal we set the two equations = to each other
105 + 9.50x = 14.75x
now solve for x
105 = 5.25x
20 = x
so they would have to rent 20 times to equal each other.
