The ratio of the measure of three angles of a triangle is 2:3:10. Find the measure of the largest angle.
2 answers:
Answer:
120 degrees
Step-by-step explanation:
Let the constant of proportionality between the angles of the given triangle be x.
Hence,
The Measure of The First Angle = 2x
The Measure of The Second Angle = 3x
The Measure of The Third Angle = 10x
The Angle Sum Property Of A Triangle says that the sum of all angles of any triangle is 180.
Hence,
As the Constant Of Proportionality obtained is 12
Hence,
The Measure of The First Angle = 2*12 = 24
The Measure of The Second Angle = 3*12 = 36
The Measure of The Third Angle = 10*12 = 120
As The Third Angle is the largest, its measure is 120.
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51.82 miles in one hour, so 51.28 x 3 = <span>155.46 miles in 3 hours.
Your answer is </span><span>155.46 miles in 3 hours.</span>
<h2><u>Answer with explanation</u>:</h2>
Let be the distance traveled by deluxe tire .
As per given , we have
Null hypothesis :
Alternative hypothesis :
Since is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.
Test statistic :
where, n= sample size
= sample mean
= Population mean
=sample standard deviation
For , we have
By using z-value table,
P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23) [∵P(Z≤-z)=1-P(Z≤z)]
=1-0.9871=0.0129
Decision : Since p value (0.0129) < significance level (0.05), so we reject the null hypothesis .
[We reject the null hypothesis when p-value is less than the significance level .]
Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.