The value of
is 4.
By Geometry, we know that line segment
, which is equivalent to:

(1)
Now we solve algebraically the resulting expression.
If we know that
, then we solve the equation for
:



The value of
is 4.
We kindly invite to see this question on line segments: brainly.com/question/23297288
Answer:
Candice ran 1/6 of a lap further than Chris.
Step-by-step explanation:
we know that
To find out how much further Candice runs than Chris, subtract the distance Chris runs from the distance Candice runs
so

therefore
Candice ran 1/6 of a lap further than Chris.
Answer:
32 km/h
Step-by-step explanation:
Since there are 60 minutes in an hour, we can find their speed in km/h by multiplying the current distance by 2:
16(2)
= 32
This means the bicyclist can ride 32 km in 1 hour.
So, their speed is 32 km/h
Answer:
18 muffins
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=34 (1)
0.50x+0.75y=21 (2)
where x is the number of muffins and y is the number of bagels.
First, you can isolate x in (1):
x=34-y (3)
Then, you can replace (3) in (2):
0.50(34-y)+0.75y=21
17-0.5y+0.75y=21
0.25y=21-17
0.25y=4
y=4/0.25
y=16
Now you can replace the value of "y" in (3):
x=34-16
x=18
According to this, the answer is that you sold 18 muffins.