Answer:






Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms


step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x

step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have

substitute


step 4
Find the measure of angle c
we know that
----> by vertical angles
we have

therefore

step 5
Find the measure of angle d
we know that
----> by corresponding angles
we have

therefore

step 6
Find the measure of angle e
we know that
----> by alternate exterior angles
we have

therefore

step 7
Find the measure of angle f
we know that
----> by vertical angles
we have

therefore

Answer:
The velocity is 8.93 meters/second.
Step-by-step explanation:
It is given that Elena runs for 28 seconds and finishes at 250 meters.
Here the displacement is 250 meters and the time is 28 seconds.
We know that 
Substitute displacement = 250 and time = 28 in above formula.

meters/second
Hence, the velocity is 8.93 meters/second.
Answer:
x=5,y=3
Step-by-step explanation:
the first step is to decide whether you want to substitute y and find x, or substitute x and find y.
(it doesn't matter which way you will choose.If you do the math correctly you will get the correct answer,one way or another).
for example, let's substitute y into the first equation:
x=17-4*(x-2)
so now,we will organize the equation:
x+4x=17+8
5x=25/(÷5)
x=5
now we will substitute x with 5 in the second equation(or the first one,it doesn't matter)in order to find y:
y=5-2
y=3
Answer:
A
Step-by-step explanation:
JK is longer than JL and isn't 9 units long