Answer:
A= 29
B=34
C=117
Step-by-step explanation:
<u>A triangle has three sides and a triangle always adds up to be 180</u>
A + B + C = 180
B = A + 5
C = 4A + 1
Plug in.
A + A + 5 + 4A + 1 = 180
6A + 6 = 180
6A = 174
A = 29
<u>Now since you found A, find the other two by plugging A in!</u>
C = 4(29) + 1
C = 117
<u>Plug in the B equation</u>
B = 29 + 5
B=34
Check your answers
29 + 117 + 34 = 180
Answer:
Step-by-step explanation:
GCF mean greatest common factor the both or divisible by h2 and h4 and the greatest of common factor is h4 .
Taking into account the supplied speeds, Boston is from the destination to:
<h3>
Calculation of the
distance between
Boston and Place of
Destination</h3>
To identify the distance between Boston and the destination of the trains, it must be remembered that the <u>speed</u> mentioned for each one is a reference to the distance traveled per hour, therefore, after each hour, each train will travel :
- Regular train: 60 miles
- Express train: 80 miles
According to the information given, when the express train leaves, the regular train has a 60-mile lead, which is getting shorter hour by hour because the express train travels 20 miles per hour more than the normal train.
Therefore, in <u>three hours</u>, the express train would catch up with the regular train, calculating the distance thanks to the speed formula:
And clearing the distance:
Therefore, the destination would be <u>240 miles</u> from Boston, which would take four hours by regular train and three hours by express train.
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Answer:
I'm not that good of math but I think the answer is 3 3 inches
Answer:
0.0869
Step-by-step explanation:
The arc electronic company had an income of 90 million dollars last year.
Mean(μ) = 75 million dollars
Standard deviation (σ) = 11 million dollars
Probability that the randomly selected will earn more than arc did last year = Pr(x>90)
Using normal distribution,
Z = (x - μ) / σ
Z = (90 - 75) / 11
Z = 15/11
Z = 1.36
From the normal distribution table, 1.36 = 0.4131
Φ(z) = 0.4131
Recall that when Z is positive, Pr(x>a) = 0.5 - Φ(z)
= 0.5 - 0.4131
= 0.0869