Answer:
Step-by-step explanation:
Given
Required
Determine the length of TU (i.e. x)
Because both shapes are similar, then the following equivalent ratios exist:
Substitute values for NO, OP, TU and UV
Represent as fraction
Multiply both sides by 6
Hence:
Answer:
Step-by-step explanation:
Find the rate that was charged for Lara's time
rate = dollars / hour
The use this rate to calculate how many hours it took to clean Roy's house, since the rates are the same. Solve for hours.....
rate for Lara = dollars / hour = $150 / 3 hour = $50 / hour
rate for Roy = dollars / hour Solve for hours
multiply both sides by hours
(rate for Roy) (hour) = (dollars / hour) (hour)
(rate for Roy) (hour) = (hour) (dollars / hour) right side hours cancel
(rate for Roy) (hour) = (dollars) divide both sides by (rate for Roy)
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
now the rate for Roy on the leftside cancel
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
(hour) = (dollars) / (rate for Roy) Plug in $225 charged to Roy
and the $50 / hour rate
hour = $225 / ($50/hour) ( 1 over 1 / hour ) = hour
= $(225/50) hour think about 1 / (1/2) = 2 the same with units
hour = 4.5 hours
Answer:
see attached
Step-by-step explanation:
When the sequence of sides (shortest to longest, for example) remains the same (CW or CCW), then the number of reflections is even, possibly zero. The figure will have been <em>translated</em> if all of the corresponding sides retain their original direction, otherwise <em>rotation</em> is involved.
If the sequence is reversed, as in the upper right and lower left figures, then <em>reflection</em> is involved. The line of reflection will be the line through the midpoints of the segments connecting corresponding vertices.
Answer: y=x+5/2
Step-by-step explanation:
using the slope intercept formula, y=mx+b where m is the slope and b is the y-intercept, you can substitute the two values to get y=x+5/2. Please note that the slope, m, is one so it's not shown.
