I’m guessing that x is the angle on the right that isn’t shown?
Anyways if that’s the case then:
We know that the sum of all the angles of a triangle add up to 180 degrees.
In this triangle we know that one angle is 55 degrees and the other is 90 degrees, so to find the last angle we do the sum of all the angles and we remove the 2 angles:
180- (55+90)= 35 degrees.
x= 35 degrees
First you have all ten books, but then every time after, you loose one because you can't put the same book in the group twice.
10 * 9 * 8 * 7 = 5040 groups
Since distance equals speed times time (d = st), we have
t = d/s
where d = 120 miles and s = 15 miles per hour
t = d / s
t = 120 / 15
t = 8
It will take 8 hours to drive 120 miles at a speed of 15 miles per hour.
Here is my theory. I did not use the Pythagorean Theorem. I used basic cross multiplication.
z = 25
t = 24
Use <em>CPCTC</em> and make ratios and proportionalities to find the value of segment PW:
If △WPJ∼△DNJ, then according to CPCTC, WP must be proportional to DN and PJ must be proportional to JN. Now, we can make a ratio:
Substitute the values that are given in the diagram.
DN=87.5
NJ=56
PJ=64

Solve for x. You can do it by cross-multiplication.
The measure of segment WP is 100 meters.