Step-by-step explanation:
m < QRS = m < URS + m < QRU
30x - 4 = 60° + 15x - 4
15x = 60°
X = 4°
<u>m < QRS</u> = 30 * 4 - 4 = <u>116°</u>
Answer:
y=-1/3
Step-by-step explanation:
first combine like terms:
5/y-3/y=-2-4
2/y=-6
now multiply y on both sides:
2=-6y
solve the equation
y=-1/3
The ratio 11:4 means that the total number of spaces is a multiple of 15 parts, this multiple is what value is assigned to each part.
450/15=30 so each part is equal to 30 spaces
Full sized car spaces are 11*30=330 spaces
Compact car spaces are 4*30=120 spaces.
Answer:
<u>The correct answer is B. 1/729</u>
Step-by-step explanation:
1. Probability of any of the nine words would be randomly cited.
Using the Laplace Rule, we calculate that probability is 1/9
2. Now let's calculate the probability of any two - word phrase in specific order from those nine in the dictionary. We should remember that the probability of occurrence of two or more statistically independent events is equal to the product of their individual probabilities. So,
1/9 * 1/9 = 1/81
3. Using the same Multiplication Rule, we can calculate the probability of a random generation of the phrase "three blind mice", in that specific order. Because there are other phrases that could be generated with those three words, but in different order. The question was specific about the order.
1/9 * 1/9 * 1/9 = 1/729
<u>The probability of randomly generating the phrase "three blind mice" is 1/729 or 0.137%</u>
Rewrite in standard form and use the form to find the vertex.
(1, 5)
(x - 1)^2 + 5
