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krek1111 [17]
2 years ago
5

Explain the difference between proving triangles congruent using the SAS and SSS congruence postulates.

Mathematics
1 answer:
Tju [1.3M]2 years ago
7 0

Answer:

SAS means the share a common side then an angel then another side SSS means all of the sides are equal

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Below is the five-number summary for 144 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of
bearhunter [10]

Answer:

The IQR is given by:

IQR = Q_3 -Q_1 = 28-18= 10

If we want to find any possible outliers we can use the following formulas for the limits:

Lower= Q_1 - 1.5 IQR

Upper= Q_3 + 1.5 IQR

And if we find the lower limt we got:

Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3

Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43

So then the left boundary for this case would be 3 days

Step-by-step explanation:

For this case we have the following 5 number summary from the data of 144 values:

Minimum: 9 days

Q1: 18 days

Median: 21 days

Q3: 28 days

Maximum: 56 days

The IQR is given by:

IQR = Q_3 -Q_1 = 28-18= 10

If we want to find any possible outliers we can use the following formulas for the limits:

Lower= Q_1 - 1.5 IQR

Upper= Q_3 + 1.5 IQR

And if we find the lower limt we got:

Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3

Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43

So then the left boundary for this case would be 3 days

6 0
3 years ago
Rina is making a nut mixture to sell at the local farmers' market. She mixes 6 pounds of pecans with a nut mixture that is 70% p
Marat540 [252]
So the best way to do these is concentration1 (%) × volume1 = concentration2 × volume2
Or C1V1 + C2V2 = C3V3, where C1 = 100% (bc ALL pecans), V1 = 6 lbs, C2 = 70%, C3 = 82%:
100%×6 + 70%×v2 = 82%×(6+v2)
100%=1.00, 70%=.7, 82%=.82
note: if none is poured out then v3 = v1+v2
6 + .7v2 = .82 (6+v2)
6 + .7v2 = 4.92 + .82v2
6 + .7v2 -.7v2 = 4.92 + .82v2 -.7v2
6 = 4.92 + .12v2
6-4.92 = 4.92-4.92 + .12v2
1.08 = .12v2
.12v2/.12 = 1.08/.12
v2 = 9 lbs
that's only v2!!!

For the final poundage, we need v3:

v3 = 6 + v2 = 6 + 9 = 15 lbs
7 0
3 years ago
Find the 66th term of the arithmetic sequence 25, 10, -5
siniylev [52]

Answer:

970

Step-by-step explanation:

8 0
3 years ago
If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?
mixer [17]

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

4 0
2 years ago
If you know the number of yards for a measurement, you can change that measure to
otez555 [7]

Answer:

f(x) = 0.9144x

Step-by-step explanation:

To convert 3 yards to meters by multiplying 3*0.9144 = 2.7432 meters. This can be done for any number of yards x by writing f(x) = 0.9144x.

7 0
3 years ago
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