Answer:
29.5788
Step-by-step explanation:
Multiply all of the terms together
Step-by-step explanation:
x = 144 ( corresponding angle)
y = 180- 144 ( linear pair)
y= 36°
Answer:
Ratio: 3:2
LN = 18
Step-by-step explanation:
"similar" means that all the angles are the same and the sides were all increased by the same proportion.
Thus, we know that MN/YZ = LM/XY = NL/ZX
First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.
MN/YZ = 15/10 = 3/2
(If you want, you can double check this using LM nd XY. 8 * 3/2 = 12, so this is correct)
To find the missing side, we simply multiply XZ by 3/2.
12 * 3/2 = 18, so LN = 18.
In each table, the x-values differ by 6. A linear function will also have a constant difference of y-values. Only the 4th table has that.
(x, y) = (-6, -3), (0, 2), (6, 7), (12, 12)
_____
An increase in x by 6 produces an increase in y by 5. The slope of this linear function is 5/6. In slope-intercept form, the equation is y = (5/6)x + 2.
Answer:
Monthly fare of employer = $ 10
Fare for swiping = $ 0.15
No. of times swiped = 40
Total cost spent = $10 + $ 0.15
= $ 10.15
Total cost of swipe = $ 0.15 × 40
= $ 0.60