Answer:
<h2>Zero.</h2>
Step-by-step explanation:
Well, assuming that the cards are numbered 1, 2, 3, 4 and 5, then the probability of getting 6 is zero, because there's no card with such number.
Remember that a simple probability is a ratio between the possible events and the total number of outcomes. In this case, the total number of outcomes is 5 and the events are zero, because there's no card with 6.
Answer:
d.
Step-by-step explanation:
Let's examine each statement:
Option A: m<CUD = m<VUM (CORRECT)
Rationale: vertical angles are congruent to each other.
Option B: m<AUV + m<DUA = 180 (CORRECT)
Rationale: angles on a straight line
Option C: m<MUC - m<MUD = m<CUD (CORRECT)
Rationale:
m<MUC = m<MUD + m<CUD
Subtract m<MUD from each side
m<MUC - m<MUD = m<CUD
Option D is FALSE
Rationale:
m<PUD + m <VUP = 180° (angles on a straight line)
m<PUM + m<CUA ≠ 180°
Therefore,
m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.
Given:
Segment AC = 130 feet
Segment CD = 70 feet
I think that I'll be using the Pythagorean Theorem in finding the value of r. r will be the hypotenuse
Segment CE = (r - 70 feet)
r² = a² + b²
r² = 130² + (r-70)²
r² = 16,900 + (r-70)(r-70)
r² = 16,900 + r² - 70r - 70r + 4900
r² - r² + 140r = 16,900 + 4,900
140r = 21,800
r = 21,800/140
r = 155.71 feet
The radius of the circle is 155.71 feet.
The standard form:

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<em>use distributive property</em>
<em>multiply both sides by 8</em>

<em>add 2x to both sides</em>
<em>add 8 to both sides</em>

Answer:
10.
Step-by-step explanation:
Since 60 is the profit you need to make, you plug in 60 into P(x). So, you get the equation 60=0.3
+7x-40. The answer to this equation is 10. I think this is the correct answer.