Tickets to the school musical are $5.00 for adults and $2.50 for students. If the total value of the tickets sold was $687.50 an
1 answer:
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Answer:
The statement is equivalent to
,
Step-by-step explanation:
We need to prove that the following statement is equivalent to
with the use of Theorem 2.1.1.
So
by De Morgan's law.
by the Double negative law
by the Distributive law
by the Negation law
by Universal bound law
Therefore
Answer:
Step-by-step explanation:
A line that is perpendicular to a reference line will have a slope that is the negative inverse of the reference line.
In this case, the reference line is y = -x - 1. It has a slope of -1. The negative inverse of this would be -(1/-1) = 1.
We can then write:
y = mx + b
y = 1x + b
To find b, enter the one given point that lines on the line, (-4,2).
y = 1x + b
y = 1x + b for (-4,2)
2 = 1(-4) + b
b = 6
The equation becomes y = x + 6
See attached.
<u>Given</u>:
Given that O is the center of the circle.
AB is tangent to the circle.
The measure of ∠AOB is 68° and we know that the tangent meets the circle at 90°
We need to determine the measure of ∠ABO.
<u>Measure of ∠ABO:</u>
The measure of ∠ABO can be determined using the triangle sum property.
Applying the property, we have;
Substituting the values, we get;
Simplifying, we get;
Thus, the measure of ∠ABO is 22°