Tyrone’s hourly wage is $18 and his net pay is 72% of his earnings. Tyrone spends about $1,800 on his monthly expenses. If Tyron
2 answers:
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Consider two triangles AEB and CEF. In these triangles:
- ∠AEB≅∠CEF (as vertical angles);
- ∠EAB≅∠ECF (lines AB and CD are parallel and AC is transversal, then these angles are congruent as alternate interior angles);
- ∠ABE≅∠CFE (lines AB and CD are parallel, BF is transversal, then these angles congruent as alternate interior angles).
Thus, by AAA theorem,
Corresponding sides of similar triangles are proportional, then
ABCD is a parallelogram, then AB=CD.
Therefore,
CD=2CF and CD=DF+CF. Equate these two expressions:
DF+CF=2CF,
DF=CF.
This gives you that DF:CF=1:1.
Answer: 1:1
Answer:
a) 1.92
b) 3.25
c) 1.5
d) -5.23
Step-by-step explanation:
We are given the following in the question:
4, 7, -1, 1, 0, 5, -2, 2, -1, 6, 5, -3
a) mean of score change
b) standard deviation for this population
where are data points,
is the mean and n is the number of observations.
Sum of squares of differences = 126.92
c) median change score
Sorted data: -3, -2, -1, -1, 0, 1, 2, 4, 5, 5, 6, 7
Median =
d) change score that is 2.2 standard deviations below the mean.