Answer:
We know that in a parallelogram two opposite angles are equal -

<u>Given</u><u> </u><u>-</u><u> </u>
- angle x is equal to the two - third of it's adjacent angle y.

Now, by using equation (1) :

<u>Now</u><u>,</u><u> </u><u> </u><u>by</u><u> </u><u>putting</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>k</u><u> </u><u>in</u><u> </u><u>x</u><u> </u><u>and</u><u> </u><u>y</u><u>.</u><u> </u>
- x = 2k = 2 × 36 = 72°
- y = 3k = 3 × 36 = 108°
<u>Therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>right</u><u> </u><u>option</u><u> </u><u>and</u><u> </u><u>small</u><u>est</u><u> </u><u>angl</u><u>e</u><u> </u><u>is</u><u> </u><u>b</u><u>)</u><u> </u><u>7</u><u>2</u><u>°</u><u>.</u>
Answer:
1:B 2:A 3:C 4:none
Step-by-step explanation:
Answer:
$62,490.65
Step-by-step explanation:
If we assume her deposits are at the beginning of the month, and that the interest is compounded monthly, the future value is that of an "annuity due." The formula is ...
FV = P(1+r/n)((1+r/n)^(nt)-1)/(r/n)
where r is the APR (.0276), n is the number of yearly compoundings (12), P is the monthly payment ($280), and t is the number of years (15). Putting the numbers into the formula and doing the arithmetic, we get ...
FV = $280(1.0023)(1.0023^180 -1)/(.0023) ≈ $62,490.65
Angelica's account balance after 15 years will be $62,490.65.
_____
If her deposits are at the end of the month, the balance will be $62,347.25.
Answer:
7.5
Step-by-step explanation:
It is longer than 5, so cross 2.5 and 5 out, 10 is too big, so 7.5 is the correct answer

LCM = 2 × 3 = 6
<u>LCM </u><u>of </u><u>2</u><u> </u><u>and</u><u> </u><u>3</u><u> </u><u>is </u><u>6</u>