Answer:
w==77
Step-by-step explanation:
The sum of the 2 opposite interior angles equals the exterior angle.
w-36 +w-20=w+21
combine like terms: 2w-56=w+21
subtract w from both sides: w-56=21
add 56 to both sides: <u>w=77</u>
Answer:
a no solution
b is all real numbers
c x=12
Step-by-step explanation:
a has no values of x that make it true
b any value of x makes it true
c simplify both sides of the equation then isolate x
Answer:
23.52 miles
Step-by-step explanation:
Let us find the number of miles that they would have run.
Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.
Let the time she has spent so far be t.
Speed is given as:
s = d / t
where d = distance and t = time
=> d = s * t
Therefore, for Kana:
d = 7 * t = 7t _____________(1)
Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.
25 minutes = 25/60 hour = 0.42 hour
So, his time (compared to Kana's) is t - 0.42.
therefore, for Ji-Hun:
d = 8 * (t - 0.42)
=> d = 8t - 3.36 ____________(2)
Equating (1) and (2):
7t = 8t - 3.36
=> 8t - 7t = 3.36
t = 3.36 hours
Therefore, let us find d:
d = 7 * 3.36 = 23.52 miles
So, Ji-Hun will catch up to Kana after 23.52 miles.
Answer:
<u>Proportional relationship formula:</u>
- y = kx, where k is the constant of proportionality
Use one of the ordered pairs to calculate the value of k
<h3>Company A</h3>
Point (2, 20)
The equation: y = 10h
<h3>Company B</h3>
Point (3, 20)
- 20 = k*3
- k = 20/3
- The equation: y = 20/3h
Company A has greater unit rate as 10 > 20/3
