Please help me !!!!!!!!!!!!

Mathematics

1 answer:

Law Incorporation [45]3 years ago

8 0

∠A+∠B=∠ACD
So, ∠A=93-31=62°
I think it mean that, right?

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Helpppppppp meeeeeee

natta225 [31]

Answer:

y = 14

Step-by-step explanation:

∠BCF and ∠EFH are same side interior angles and are supplementary, hence

5x - 66 +2x + 50 = 180

7x - 16 = 180 ( add 16 to both sides )

7x = 196 ( divide both sides by 7 )

x = 28

∠BCF = 5x - 66 = (5 × 28) - 66 = 140 - 66 = 74

∠ACD = ∠BCF ( vertical angles ), hence

9y - 52 = 74 ( add 52 to both sides )

9y = 126 ( divide both sides by 9 )

y = 14

6 0

3 years ago

What is the sum of the geometric series

lbvjy [14]

If $S$ denotes the sum of the first $n$ terms of a geometric series with first term $a$ and common ratio $r$ , then

$S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}$
$rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n$
$\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n$
$\implies (1-r)S=a(1-r^n)$
$\implies S=a=\dfrac{1-r^n}{1-r}$

Using summation notation, you have

$S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}$

In this case, you have $a=2$ , $r=\dfrac12$ , and $n=16$ . So the value of the sum is

$\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67$

Rounded to the nearest whole number, the answer would be 3.

4 0

3 years ago

Read 2 more answers

Order the following numbers written in scientific notation from greatest to least: 3.9 × 105, 6.1 × 103, 9.3 × 105, 1.6 × 103 A.

Licemer1 [7]

The numbers are:

3.9 × 105 = 409.5

6.1 ×103 = 628.3

9.3 × 105 = 976.5

1.6 × 103 = 164.8

Arranging from greatest to least and in scientific notation form gives:

9.3 × 105 , 6.1 × 103 , 3.9 × 105 , 1.6 × 103