for the first term:
n= 1 there is 1 item
n=2 there are 2+1 = 3 items
n = 3 there are 3+2+1 = 3+2 = 6 items
n = 4 there are 4+3+2+1 = 4+6 = 10 items
We are adding the "n" term each time
n = 5 10+5 = 15
n= 6 15+6 = 21
n = 7 21+7 = 28
n = 8 28+8 = 36
There would be 36 items in the 8th step
The measure of angle E is (b) 50°
<h3>How to determine the angle measure?</h3>
The given parameters are:
- ΔCAB is similar to ΔCED
- AB and ED are parallel
The similarity of the triangles implies that:
- angle C = angle C
- angle A = angle E
- angle B = angle D
From the figure, we have:
angle A = 50
Substitute angle A = 50 in angle A = angle E
angle E = 50
Hence, the measure of angle E is (b) 50°
Read more about similar triangles at:
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Answer:
Distributive?
Step-by-step explanation:
The way the problem is laid out confuses me but if it is the problem that you laid out, it should be Distributive.
The condo costs $163,000, earns $2,986 per month, spends no more than 25% of her income, then if she pays $33,000 for the down payment, the remaining amount would be $130,000. Since 20% of the initial cost is only $32,600, she can adjust her down payment to 20.25% of the initial cost so that the annual payments would be less.