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lianna [129]
3 years ago
10

A triangle has angle <1 and <2 as a remote interior angles with respect to exterior angle <3. Given that m<1 =50 and

m<2=70, Alicia reasoned that m<3 must be 60. Explain Alicias error
Mathematics
1 answer:
Step2247 [10]3 years ago
7 0
∠1 = 50°
∠2=70°
If ∠3 is exterior ansgle with respect to ∠1 and ∠2, ∠3 must be ∠1+∠2 = 50°+70° =120°..Whereas, the interior angle with ∠3 will be 180°-120°=60°
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3 years ago
henry has 68 miles to destination after 45 minutes and 51.5 miles to destination after 71 minutes of driving. How many miles to
Airida [17]
Let d represent the distance of the destination from the starting point.

After 45 min, Henry has already driven d-68 miles.  After 71 min., he has already driven d-51.5 miles.

So we have 2 points on a straight line:

(45,d-68) and (71,d-51.5).  Let's find the slope of the line thru these 2 points:

                                 d-51.5 - (d-68)         16.5 miles
slope of line = m = ----------------------- = ------------------
                                     71 - 45                   26 min

Thus, the slope, m, is   m = 0.635 miles/min

The distance to his destination would be d - (0.635 miles/min)(79 min), or 

d - 50.135 miles.  We don't know how far his destination is from his starting point, so represent that by "d."

After 45 minutes:  Henry has d - 68 miles to go;

After 71 minutes, he has        d - 51.5 miles to go; and

After 79 minutes, he has         d -  x miles to go.  We need to find x.

Actually, much of this is unnecessary.  Assuming that Henry's speed is 0.635 miles/ min, and knowing that there are 8 minutes between 71 and 79 minutes, we can figure that the distance traveled during those 8 minutes is

(0.635 miles/min)(8 min) = 5.08 miles.  Subtracting thix from 51.5 miles, we conclude that after 79 minutes, Henry has (51.5-5.08), or 46.42, miles left before he reaches his destination.




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3 years ago
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2 years ago
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Answer:

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2 years ago
Read 2 more answers
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