Answer:
See below.
Step-by-step explanation:
When Brian passes Alex they both have travelled the same distance.
Call this distance d.
Let the speed that Brian passes = x miles/hour.
Distance = speed * time so:
For Alex:
d = (x - 5) * 1.5 ( Alex cycles for 1 + 30 minutes = 1.5 hours)
For Brian:
d = x * 1
So substituting d = x in Alex's equation:
x = 1.5(x - 5)
x = 1.5x - 7.5
7.5 = 0.5x
7/5 / 0.5 = x
15 = x.
ANSWER:
Brian's speed is 15 miles/hour.
Alex's speed is 15 - 5 = 10 miles/hour.
Answer: Two sides are 7in, and the two other sides are 9.5 in.
Step-by-step explanation:
Since there are two sides that will be longer than the other two, 2.5 will be subtracted twice:
33in -2.5in -2.5in = 28in
Since there are 4 sides, 28in is divided by 4:
28in/4 = 7in
To find the 2 larger sides, add 2.5 back to the side length:
7in +2.5in = 9.5in
Answer:
The measure of each angle is 143 degrees.
Step-by-step explanation:
We are given the following in the question:
A nonagon in which measure of seven angles are:
138, 154, 145, 132, 128, 147, 130.
Angle sum property of a nonagon:
- The sum of interior angles if a nonagon are 1260 degrees.
Let the two equal angle of nonagon be x degrees. Thus, we can write:
Thus, the measure of two equal angles is 143 degrees.
So, use the distance between two points formula:squareroot((x2-x1)^2+(y2-y1)^2)
squareroot((-7--4)^2+(8-7)^2)
squareroot((-3)^2+(1)^2)
squareroot((9+1)
squareroot(10)
squareroot 10 can be simplified to 3.2 units