Answer:
16
Step-by-step explanation:
5+3+2.50x=50
8+2.50x=50
-8 on both sides
2.50x=42
divide both sides by 2.50
x=16.8
She can ride 16 rides.
Answer:

Step-by-step explanation:
AD = BD (CD bisects AB means that it divides the line into two equal parts)
So,
AD = BD = AB/2
So,
AD = 3/2
AD = 1.5
<u><em>Now, Finding AC using Pythagorean Theorem:</em></u>

Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)



Taking sqrt on both sides

Answer:
A. Because the measure of the angle
is
and the angles
and
are Vertical angles. Therefore, they are congruent (
)
B. 
Step-by-step explanation:
<h3> <em><u>The missing figure is attached.</u></em></h3><h3 />
You can observe in the figure that the parallel lines
and
are intersected by a another line
(this is a transversal).
Let's begin with PART B:
Observe that the angles
and
are located inside the parallel lines and they alternate sides of the transversal. Therefore, we can determine that these angles are "Alternate Interior Angles".
Since the lines
and
are parallel, we know that the Alternate Interior Angles are congruent. Then:

Now we can solve the PART A.
Observe the figure.
Since the angle
and the angle
share the same vertex, they are "Vertical angles" and, therefore, they are congruent:

Answer:
The standard deviation is 10.38
Step-by-step explanation:
Given;
Variance, v = 107.76
mean, x = 34.2
The standard deviation is given by;
standard deviation = √variance
standard deviation = √107.76
standard deviation = 10.381
standard deviation = 10.38 (two decimal places)
Therefore, the standard deviation is 10.38
Knowns:
C = mx + b
m = 367
b = 1500
C = 367x + 1500
Cost (c) = 16,600
16600 = 367x + 1500
subtract 1500 from both sides
15,100 = 367x
Divide both sides by 367
x = 41.14
41 Students can attend the trip! Hope this helps