Answer:
y=19 z=19
Step-by-step explanation:
45 45 90 triangles are this: sides=hyp/sqrt(2)
mathXL lol
Answer: Time it took her to get to the school is 0.6 hours
The distance of the school from their home is 27 miles
Step-by-step explanation:
Mrs Dang drove her daughter to school at the average speed of 45 miles per hour.
Let x miles = distance from the school to their home.
Distance = speed × time
Time = distance / speed
Time used in going to school will be
x/45
She returned home by the same route. This means that distance back home is also x miles.
She returned at an average speed of 30 miles per hour.
Time used in returning home from school will be x/30
x/45
If the trip took one half hour, then the time spent in going to school and the time spent in returning is 1 1/2 hours = 1.5 hours. Therefore
x/30 + x/45 = 1.5
(15x + 10x) /450 = 1.5
15x + 10x = 450 × 1.5 = 675
25x = 675
x = 675/25 = 27
Time it took her to get to the school will be x/45
= 27/45 = 0.6 hours
Answer:

Step-by-step explanation:
Given
See attachment for parallelogram

Required
What is the height?
The opposite sides of a parallelogram are equal and the height is the distance between the parallel sides.
From the question, we have:

Also from the question, the difference between the two parallel sides is 7in.
<em>Hence, the height of the parallelogram in 7in</em>
Slope = (y2-y1)/(x2-x1)
(3+1)/(2-0) = 4/2 = 2
The slope is 2
Hi there!
Since a decimal is a portion of 1 we can simply put a 100 in the denominator to form it into a fraction.
By doing this, we get the fraction 29/100.
Since there is no simplifying we can do for the fraction this is it's final form!
Your answer would be 0.29 = 29/100.