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3 years ago

What’s the value of X ???!!!!

Mathematics

1 answer:

Alexus [3.1K]3 years ago

7 0

Answer:

Step-by-step explanation:

So since triangle jkl and wyz are similar angles j and w must equal each other, angles k and y must equal each other, and angles l and z are equal. So to find x just set 4x-13 equal to 71

4x-13=71

add 13 to both sides to cancel the -13 from the left

4x=84

and divide both sides by 4 to cancel the 4 on the left

x=21

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The larger of two numbers is four more than the smaller number.If the sum of the numbers is 61,find the numbers

sergij07 [2.7K]

Answer:

28.5 and 32.5

Step-by-step explanation:

create an equation to solve:

x + (x+4) =61

2x + 4 = 61 combine like terms

2x = 57 subtract 4 from both sides

x = 28.5 divide 2 from both sides

28.5 is the smaller number

the larger number is 4 more so:

28.5 + 4 = 32.5

32.5 is the larger number

check your work:

28.5 + 32.5 = 61

6 0

3 years ago

Find x use picture for question.

katrin2010 [14]

Answer:

x = 8

Step-by-step explanation:

Firstly, create an equation or formula

- because they are congurent, IN = AT, so:

2x+10 = 26 (minus 10 from both sides)

2x = 16 (divide both sides by 2)

x = 8

Sub into the formula:

2 x 8 + 10 = 26

26 = 26

8 0

3 years ago

Read 2 more answers

Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv

Natasha2012 [34]

Answer:

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=652.6$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size

Soltuion to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=50-1=49$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$