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vovikov84 [41]
2 years ago
10

Find the measure of the angle indicated in bold

Mathematics
1 answer:
Marianna [84]2 years ago
4 0

Answer:

x=5

Step-by-step explanation:

hey there

the angles given are corresponding angles meaning that they are congruent

so we set up an equation

23x-5=21x+5

step 1 subtract each side by 5

5-5 cancels out

-5-5=-10

now we have

23x-10=21x

step 2 subtract each side by 23x

21x-23x=-2x

now we have

-2x=-10

step 3 divide each side by 2

-10/-2=5

so we can conclude that

x=5

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Select the correct answer. Which sentence correctly describes a data set that follows a normal distribution with a standard devi
Artyom0805 [142]

Answer: Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation: Given :  a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the  sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean  and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

5 0
2 years ago
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What is the sum of the geometric sequence -3, 18, -108, ... if there are 8 terms
creativ13 [48]

Answer:

Step-by-step explanation:

common ratio=18/-3=-108/18=-6, a=-3

sn=a(r^n-1)(r-1)

sn=-3((-6)^n-1)(-6-1)

sn=-3(-6)^8-1)/(-7)

s8=-3(1679615)/(-7)

s8=719836

6 0
2 years ago
How to work out the equation
sveta [45]

first, distribute -6 to (2b + 1), giving you -12b - 6, and then on the another side of the equation, distribute -2 to (5 + 4b) giving you, -10 - 8b. now we need to put our coefficients on one side so we will add 8b to each side of the equation, giving us -6 = -10 - 8b + 12b, then we will add 10 to both sides of the equation giving us, 10 -6 = -8b +12b, this gives u 4 = 4b. then, you would solve for b, which equals 1.

8 0
3 years ago
How many 1/4 cup servings are in 2 1/2 cups of yogurt?
slava [35]

Answer:

10

Step-by-step explanation:

Hope it helps! :D

3 0
3 years ago
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A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
Nata [24]

Answer:

The equations represent the situation is y=2x+6 and y=5+3x.

Step-by-step explanation:

Consider the provided information.

First convert the statement into mathematical representation.

Consider the smaller number is <em>x</em> and the larger number is <em>y</em>.

<em>y</em>, is equal to twice the sum of a smaller number and 3.    

This information can be written as: y=2(x+3)

Which can be further solve as:

y=2x+6

The larger number is also equal to 5 more than 3 times the smaller number.

This information can be written as: y=5+3x

Thus, the equations represent the situation is y=2x+6 and y=5+3x.

Which can be further solve as:

2x+6=5+3x

x=1

Now, substitute the value of <em>x</em> in y=5+3x.

y=5+3

y=8

3 0
3 years ago
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