Answer: Fran's number is 70
Step-by-step explanation:
Let x represent Jen's number.
Let y represent Carrie's number.
Let z represent Fran's number.
When you add their numbers together you get 207. This means that
x + y + z = 207 - - - - - - - - - -1
Jen's number is 9 more than Carrie's number. It means that
y = x - 9
Fran's number is 3 less than Jen's number. It means that
z = x - 3
Substituting y = x - 9 and z = x - 3 into equation 1, it becomes.
x + x - 9 + x - 3 = 207
3x - 12 = 207
3x = 207 + 12 = 219
x = 219/3 = 73
y = x - 9 = 73 - 9
y = 64
z = x - 3 = 73 - 3
z = 70
X + 60 = 100 (because they are vertical angles, which means that because they are directly opposite of each other, they are of the same measurements).
Solve for x. Isolate the x, subtract 60 from both sides
x + 60 = 100
x + 60 (-60) = 100 (-60)
x = 100 (-60)
x = 40
40° should be your answer
hope this helps
Answer:
-2/3
Step-by-step explanation:
-1.5 - 0.5 / 2.5 - (-0.5)
= -2/3
Answer:
In your equations, there is only one variable you're using: y. I do not know what you mean by 2 variables, but probably you copied the wrong equations.
......Anyways......
To solve it, you must know that the sum of all 3 angles of a triangle is 180°.
To set up the equation, add all three angle measures on one side of the equation, and then 180 on the other side. It should be like this:
(6y+1)+(4y-7)+(9y+3) = 180
Now that you're done with the set-up, I assume you know what to do next. We can't always do the work for you. ^_~
> Add up the measures of each angle.
> Isolate the equation with only variable on one side and only number on the other side.
> Substitute each variable y for each angle measure and solve it.
Hope this helps a lot. ^_^
3/8x+1=9/4
3/8x=9/4 -1
3/8x=1.25
0.375x=1.25
x=3.333
