Answer:
x = 3
y = 10
Step-by-step explanation:
In triangle KLN, measure of all angles are equal.
Therefore, it is an equilateral triangle.
All sides of an equilateral triangle are equal.
So,
y - 4 = 6
y = 6 + 4
y = 10
In triangle LMN, measures of angles M and N are equal, Therefore,
LM = LN
x + 3 = y - 4
x + 3 = 10 - 4
x + 3 = 6
x = 6 - 3
x = 3
Step-by-step explanation:
Used desmos, it is a graphing app that is easy to used
Answer:
First, fourth.
Step-by-step explanation:
The g(x) function is basically 
.
All we have to do is substitute. I'll just do that, I hope you'll get it from the visuals.
<u>First option:</u>
<u />
This works.
<u>Second option:</u>
<u />
This does not work
<u>Third option:</u>
<u />
This also does not work.
<u>Fourth option:</u>
<u />
This works.
<u>Fifth option:</u>
<u />
This does not work.
Answer:
53.5 sec
Step-by-step explanation:
Given
Number of times Lucia ran the race=n=3
Slowest time= x_1=56.3 sec
Fastest Time= x_2=52.2 sec
Average time=54.0 sec
Since, we know the average time and two of the three race times, we can use the average formula to calculate the third race’s time.
Let
x_3=the third race^' s time
So,
Average=(Sum of values)/(Number of values)
Average = (x_1+ x_2+ x_3)/n
Putting the values
54.0= (56.3+ 52.2+ x_3)/3
Multiplying 3 with 54.0 and adding 56.3 and 52.2
162= 56.3+52.2+ x_3
162= 108.5+ x_3
x_(3 )=162-108.5
x_(3 )=53.5 sec
..
