Step-by-step explanation:
2.3141414...
= 2 + 3/10 + 14/990
= 2 + 311/990
= 2291 / 990
Answer:
<ADC=131°
Step-by-step explanation:
<ADC= <ADB+<BDC
We need to substitute the angle measures and simplify to get:
<ADC=89+42
This simplifies to give us:

The correct answer from the given options is the first choice.
x = 10
_____________________________________________
Answer:

Step-by-step explanation:
ΔDAC and ΔDCB are similar (AA). Therefore the sides are in proportion:

We have DA = 3cm and DB = 8 cm. Substitute:
<em>cross multiply</em>



The formula of arithmetic sequence is
an = a₁ + d(n - 1)
Then we need to find the formula to determine n. I reverse the equation so the 'n' will be on the left side.
a₁ + d(n - 1) = an
Then I move all the terms on the left one by one to the right side except n
a₁ + d(n - 1) = an
d(n - 1) = an - a₁
n - 1 = (an - a₁)/d
n = 1 + (an - a₁)/d
This is the formula to solve n
n = 1 + (an - a₁)/d