AB = 14
m∠F = 39°
Well the explanation here is simple.
Since the given states that the two triangles, ΔABC and ΔDEF, are congruent, they must have congruent/corresponding parts.
So AB is the same as DE which measures 14, so therefore AB must measure 14.
The same explanation goes to m∠F, ∠C is congruent to ∠F so it must measure 39° too.
Answer:
Part a)
Mean: 13155.6
Mode:None
Median: 12700
Step-by-step explanation:
12700 : 1
15478: 2
12675: 3
11850: 4
13075: 5
Mean :
Mode:
All values are distinct, therefore there is no mode. A mode is value which occurs most frequently.
Median:
Arrange the values in ascending order:
11850 , 12675, 12700, 12075, 15478
The mid value is median: 12700
Part b)
It depends upon the data. In this question the best way to predict how many miles Gina will drive in the next years is by using Median of the data.
The reason is that there is a potential outlier in the data i.e 15478. In case of outlier median tends to give better predictions.
Answer:
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Step-by-step explanation:
(14 – 8) ÷ 2 is equal to 3
14 – 8 ÷ 2 is equal to 10
Twelvethousand-eighthundred-fourteen-seven
Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)
Multiply equation (1) by 2:
22x + 30y + 46 = 0
Multiply equation (2) by 15:
105x - 30y - 300 = 0
Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]
Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3
Therefore, x = 2 and y = -3.
