Answer:
4 miles
Step-by-step explanation:
Let
x ----> the time to returned back biking in hours
d ---> the distance in miles
s ---> speed in miles per hour
Remember that
The speed or rate is equal to divide the distance by the time
The distance is equal to multiply the speed by the time
we know that
The distance to his friend's house and the distance of return is the same
so
solve for x
subtract 4x both sides
The total distance of the round trip is
substitute the value of x
An arithmetic sequence starts with one number and you add the common difference to the previous term to get the current term
So...
f(x)=mx+b
m=common difference
b=starting point
f(11)=125=11m+b
-
f(1)=5=1m+b
--------
120=10m
Divide both sides by 10
12=m
Your common difference is 12.
If 1 cm = 3 ft, then 5 cm = 5*3 = 15 ft.<==
8) factor 6+17g+10g^2
10g^2+17g+6
(5g+6)(2g+1)
C is the answer.
9) which one is a perfect square?
4x^2-14x+49 doesn't factor
4x^2-28x+49=(2x-7)(2x-7)
x^2-x+1 doesn't factor
x^2-2x+2 doesn't factor
B is the answer.
11) factor y^2-2y-48
(y+6)(y-8)
D is the answer
12) for the last one you can multiply the answers out of factor.
Sorry this took forever. It's hard to use the website cuz I'm used to the app.
Best wishes!
Answer:
x = 67; y = 40
Step-by-step explanation:
You are correct with y. Angles y + 23 and 63 are vertical, so they are congruent. That gives you y + 23 = 63, which gives y = 40.
To find x, look at angles 2x - 17 and 63.
They are adjacent angles whose outside rays lie on a line. Angles like these are called a linear pair, and they are supplementary. That means their measures add up to 180 deg.
2x - 17 + 63 = 180
2x + 46 = 180
2x = 134
x = 67
