1. It is fairly tedious to use construction techniques on paper to rotate a figure 90°, and somewhat error-prone to use a protractor. So, the attached makes use of a geometry program to rotate the parallel lines. In each case, XE is rotated to X'E.
d) You notice the resulting lines A'B' and C'D' are both perpendicular to the original AB and CD and are parallel to each other. They are the same distance apart that they were. (Rotation does not change distances or angles.)
2.
a) ∠ABC is supplementary to ∠CBD, so has measure 180°-50° = 130°.
b) ∠EBD is a vertical angle to ∠ABC, so has the same measure, 130°.
c) ∠ABE is a vertical angle to ∠DBC, so has the same measure, 50°.
Who's shaw?
anyway
area=pi times radius^2
pi=3.14
area=78.5
78.5=3.14 times radius^2
divide both sides by 3.14
25=r^2
sqrt both sides
5=r
the radius is 5cm
<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>parallel</em><em>.</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em>
There are 10 digits from 0 to 9
When you say 4 digit number that means it can't start with zero, then
1) there are 9 ways to chose the 1st digit (excluding zero)
2) there are only 1 ways to chose the 2nd digit (only 8))
3) there are 10 ways to chose the 3rd digit
4) there are 10 ways to chose the 4th digit
TOTAL NUMBER OF WAYS: 9 x 1 x 10 x 10 = 900
7/8 gallons in 1/2 hour
Looking for gallons per hour, or
.
So, this is basically a division problem of 7/8 divided by 1/2. Dividing by a fraction is the same as multiplying by that fraction's reciprocal.
Now we simplify by a factor of 2:
And here we are! There are 7/4 gallons leaking per hour. This is the same as 1.75 gallons per hour. Hope this helps! :)