1) given that those two lines are parallel, we can deduce that 9/45=x/75.
9/45 simplifies to 1/5 so 1/5 = x/75. Cross multiply to get this: 5x = 75.
Divide both sides by 5 to get x.
Final answer: x = 15
2) Again, we can set up a proportion to solve for x because we know the lines are parallel. 24/36=x/12. 24/36 simplifies to 2/3 so 2/3=x/12. Cross multiply to get this: 3x = 24. Divide both sides by 3 to get x.
Final answer: x = 8
Answer:
12 dollars
Step-by-step explanation:
29+12=41 or 12-49=29
Answer:
x=6√3
Step-by-step explanation:
In 30-60-90 triangles, if the hypotenuse is <em>x</em>, the longest leg is
, and the shortest leg is
.
If the longest leg is 6, then 
Multiply by 2,

If x=12,


So, the shortest leg is 6√3.
Answer:
y = 2x - 18
Step-by-step explanation:
There are lots of different methods to do these types of questions, but this is the way i like to do it.
Coordinate (x1, y1) : (4, -10) and Gradient (m): 2
Start with this generic equation:
y- y1 = m(x-x1)
Substitute in the values they have given you:
y - (-10) = 2(x-4)
This becomes:
y + 10 = 2x - 8
Keep solving by moving the 10 over to the other side:
y = 2x -8-10
y = 2x - 18
<u>An easy way to double check:</u>
1) the coefficient of x is the slope. We got 2x, and the slope is 2, so that's correct.
2) Substitute x=4 into the equation, and we get -10, which is the exact coordinate that they gave us. This is also right.
Hope this helped : )
We use tan.
tan 35 = x/660
multiply both sides by 660
660 tan 35 = x <------------------ANSWER
x = 462.13 ft