Percentage increase in the rate of all rail season tickets to London = 4%
Price of the rail ticket from Cambridge to London increased by = 121.60
Let us assume the price before the increase in the fare = x
Then
4% * x = 121.60 dollars
(4/100) * x = 121.60 dollars
x/25 = 121.60 dollars
x = 25 * 121.60 dollars
= 3040 dollars
So the price of the ticket from Cambridge to London before the increase in price was 3040. I hope the procedure is simple enough for you to understand.
Answer:
(4, 0)
Step-by-step explanation:
The circumference of a circle is 
where <em>r</em> is the radius.
In this case, 
. Divide both sides of the equation by 
to get
The center of the circle is on the <em>x</em>-axis, so the intercepts are 5 units to the left of the center and 5 units to the right of the center. The two intercepts are (-1-5, 0) and (-1+5, 0). The point that is on the positive <em>x</em>-axis is (4, 0).
See attached image.
Since y is the original cost, let z represent the final cost. So, we set up the expression, (0.12y + y) - 0.03y = z. That shows first the sale, then the tax. From there, we simplify to get 1.12y - 0.03y = z, then simplify it more to get 1.09y = z. We take away the z, and get that the cost, which is 1.09, or 109%, or y (1.09y).
9514 1404 393
Answer:
B) False
Step-by-step explanation:
Triangles are similar when their angles are the same measures. Because the angles sum to 180°, we only need to show that 2 angles of one triangle are equal to 2 angles of the other triangle.
All three of the angles of the first triangle are given: 20°, 40°, 120°.
One of the angles of the second triangle matches: 40°; but the other angle (80°) doesn't match either of 20° or 120°.
The angles aren't the same, so the triangles are not similar.
__
If we want to go to the trouble, we can figure the third angle of the second triangle. It is 180° -40° -80° = 60°.
Then the angles in the two triangles, listed smallest to largest, are ...
20°, 40°, 120°
40°, 60°, 80°
It is clear the angles of these triangles are not the same.
Answer:
70
Step-by-step explanation:
Since these two are same side interior angles, their measures must be supplementary. This means that they must add up to 180 degrees. Therefore:
45+2x-5=180
2x+40=180
2x=140
x=70
Hope this helps!
