Answer:
1) Congruent
2) Supplementary
3) Congruent
4) Congruent
Step-by-step explanation:
1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.
3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.
4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.
We solve the question as follows:
Simple interest=Principle×Rate×Time
Thus given:
p=$55000, R=2.5%, time= 1 year
thus
Interest=55000×0.025×1=$1375
To evaluate the amount required to keep up with the inflation, your interest rate should match the inflation rate otherwise prices are going up faster than the savings.
Required interest rate=55000×0.034×1=$1870
The buying power lost will be the difference between your required interest and actual interest.
Thus:
Buying power lost=1870-1375=$495
well, the recursive rule of aₙ = aₙ₊₁ + 7, where a₁ = 15, is simply saying that
we start of at 15, and the next term is obtained by simply adding 7, and so on.
well, that's the recursive rule.
so then let's use that common difference and first term for the explicit rule.
Answer:
k = 3
Step-by-step explanation:
5(ky-6)=15y-30
Factor out a 5 from the right side
5(ky-6)=5(3y-6)
Divide each side by 5
ky -6 = 3y -6
Add 6 to each side
ky = 3y
divide by y
k = 3
