Answer:
ΔABC ≅ ΔEFD by HL
Step-by-step explanation:
The two triangles given, ∆ABC and ∆EFD, are right triangles.
BC in, ∆ABC, is the hypotenuse and has a length of 5 units, which corresponds to hypotenuse, DF, of ∆EFD. DF also has a length of 5 units.
Therefore, BC ≅ DF.
AC in ∆ABC, corresponds to DE in ∆EFD. Both have the same length.
Therefore, AC ≅ DE.
Since we the hypotenuse of both ∆s and 1 of their corresponding legs are equal, we can conclude that both triangles are congruent based on the Hypotenuse-leg congruency statement, which says that if two right triangles have the same hypotenuse length and a corresponding leg that is equal, both triangles are said to be congruent.
Therefore, ΔABC ≅ ΔEFD by HL
Answer:
$1726.59
Step-by-step explanation:
Long form:
$2240×18%=(-$403.20)
$2240-$403.20= $1836.80
Taxes will be deducted from total gross pay first...
$1836.80×6%=(-$110.21)
$1836.80-110.21=$1726.59
Answer:
y=120-4x
Step-by-step explanation:
Here we are given the average speed for Day 1 and Day 2 and the time of ride . We asked to Find an expression to determine the total distance travelled in two days.
Day 1 :
Avg Speed = 8 mph
Let the time for travelling = x hrs
Hence Distace Travelled D1= Speed x Time
D1=8x
Day 2 :
Avg Speed = 12 mph
Total time of travelling for two days is given as 10 hours . Hence the time of travelling for day 2 is
= (10-x) hrs
Hence Distance travelled in Day 2 D2 = speed x time
D2 = 12(10-x)
D2=120-12x
Total Distance travelled = D1 + D2
= 8x+120-12x
=120-4x
If the total distance travelled is denoted by y
The expression will be
y=120-4x
The domain is all real numbers. (-infinity, infinity)
You can put any real number x value into the function.
Answer:
68%
Step-by-step explanation:
<em><u>68-95-99.7% Rule:</u></em>
<em><u /></em>
This is the empirical rule which is used to remember the percentage of values that is within a band of the mean. We say:
- 68% of the data fall within 1 standard deviation of the mean
- 95% of the data fall within 2 standard deviation of the mean, and
- 99.7% of data falls within 3 standard deviations of the mean
Clearly, from the empirical rule, we see that about 68% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean)
