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2 years ago

What is the value of x?

Mathematics

1 answer:

NemiM [27]2 years ago

4 0

Alternate interior angles are congruent. Therefore, set the two angles equal to each other and solve for x.

3x+4= 115
3x+4 -4 = 115 -4

3x = 111
x= 111/3---> 37. Therefore, x = 37.

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2/3x-5=7 how to find x

My name is Ann [436]

Is the x
$\frac{2}{3x}$
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2 years ago

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For each of the finite geometric series given below, indicate the number of terms in the sum and find the sum. For the value of

kotykmax [81]

Answer:

Number of term N = 9

Value of Sum = 0.186

Step-by-step explanation:

From the given information:

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} + \cdots + 3 (0.5)^{13}$

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} +3 (0.5)^{8}+3 (0.5)^{9} +3 (0.5)^{10} +3 (0.5)^{11}+3 (0.5)^{12}+ 3 (0.5)^{13}$

Number of term N = 9

The Value of the sum can be determined by using the expression for geometric series:

$\sum \limits ^n_{k=m}ar^k =\dfrac{a(r^m-r^{n+1})}{1-r}$

here;

m = 5

n = 9

r = 0.5

Then:

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.5^5-0.5^{9+1})}{1-0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.03125-0.5^{10})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{(0.09375-9.765625*10^{-4})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =0.186$

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2 years ago

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zalisa [80]

Answer:

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2 years ago

I quite don’t get this question and I have 4 minutes remaining

gregori [183]

The length of one of the sides of the larger pentagon is 24 cm. The length of one of the sides of the smaller pentagon is 8 cm.

$24$ ÷ $8=3$

So, if the larger pentagon is 3x the size of the smaller pentagon, we can find the area of the smaller pentagon by dividing the area of the larger pentagon by 3.

$135$ ÷ $3=45$

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2 years ago

Help with the step by step

Nataliya [291]

Step-by-step explanation:

First, distribute the -4 to the parenthesis:

24a-22=-4+24a

Add 22 to both sides:

24a-22+22=-4+22+24a

Simplify:

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Subtract 24a from both sides:

24a-24a=18+24a-24a

Simplify:

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3 years ago

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