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zhannawk [14.2K]
3 years ago
5

Find the value of x such that the data set has the given mean. 31.7, 42.8, 26.4 x: mean 35

Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer:

x = 39.1

Step-by-step explanation:

<u>Points to remember</u>

Mean of a data set is given by

Mean = (sum of data set)/Total number of data

<u>To find the value of x</u>

It is given a data set

31.7, 42.8, 26.4, x

Mean = 35

Sum of data set = 31.7 + 42.8 + 26.4 + x = 100.9 + x

(100.9 + x)/4 = 35

100.9 + x = 35 * 4 = 140

x = 140 - 100.9 = 39.1

Therefore x = 39.1

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If SV⊥RT, m∠RSU = (17x – 3)°, and m∠UST = (6x – 1)°, find TSV
goblinko [34]

Applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.

<h3>How to Apply the Linear Pair Theorem?</h3>

Given the following angles in the image above:

Measure angle RSU = (17x - 3)°,

Measure angle UST = (6x – 1)°

To find the measure of angle TSV, we need to find the value of x in the given expressions as shown below:

m∠RSU + m∠UST = 180 degrees (linear pair]

Substitute the values

17x - 3 + 6x - 1 = 180

Solve for x

23x - 4 = 180

23x = 180 + 4

23x = 184

x = 8

m∠TSV = 180 - 2(m∠UST) [Linear Pair Theorem]

m∠TSV = 180 - 2(6x - 1)

Plug in the value of x

m∠TSV = 180 - 2(6(8) - 1)

m∠TSV = 86°

Therefore, applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.

Learn more about the linear pair theorem on:

brainly.com/question/5598970

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1 year ago
Can you guys help with me
Anika [276]

Answer:

x=8

Step-by-step explanation:

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Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula y = mx + b. We can write an equation in point-slope form first, then convert it to that form.

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m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1

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2) Now, since we know a point the line intersects and its slope, use the point-slope formula y-y_1=m(x-x_1) and substitute values for m, x_1, and y_1. From there, we can convert the equation into slope-intercept form.

Since m represents the slope, substitute 1 in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

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