Five out of ten or 1/2 depends if it is a 6-numbered die.
Answer:
68°
Step-by-step explanation:
As BA⊥BD, so ∠ABD = 90°
also, ∠ABD = ∠CBD + ∠ABC
⇒ 90° = 4x + 52° + 8x - 10°
⇒ 12x = 48°
⇒ x = 4°
now,
∠CBD = 4x + 52°
= 4(4°) + 52°
= 68°
Answer : $3403.53
Detailed Solution:
<span>principal was 10,675
interest rate was 4.75% per year compounded annually.
additional $939.25 was paid in service charges.
payment on the principal plus interest is shown below:
pv = 10675
i = .0475/12 = .0039583333... per month.
n = 9 * 12 = 108 months.
fv = 0
pmt = 121.6635... per month
total finance charge would be (108 * 121.6635... + 939.25 - 10675).
that equals to 13139.66 + 939.25 - 10675 = 3403.91
</span>
Answer:
x = 12, x = 7
Step-by-step explanation:
The 2 legs of the triangle are congruent, both 2x + 7, then
2x + 7 + 2x + 7 + x + 11 = 85 ← equation for perimeter
5x + 25 = 85 ( subtract 25 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
-----------------------------------------------------------
Opposite sides are congruent, then
2(2x) + 2(5x + 3) = 104 ← distribute and simplify both sides
4x + 10x + 6 = 104
14x + 6 = 104 ( subtract 6 from both sides )
14x = 98 ( divide both sides by 14 )
x = 7
1/a
The b^-3 in the denominator and numerator cancel out
