Cna someone help me plzz

If STUV is a square with SW = 2x + 13 and WU = 8x - 41, find VT. 20 points

sergejj [24]

Answer: VT equals 62

Step-by-step explanation: In the square with sides STUV, the point W is a midpoint on the diagonal of the square such that the diagonal line SU is divided into two equal halves by the lines SW and WU. Also note that a square has two diagonals whose measurements are equal, that is, line SU equals line VT.

If the point W is the midpoint of SU, then we can conclude that SW equals WU. This means;

2x + 13 = 8x - 41

Collect like terms and you now have,

13 + 41 = 8x - 2x

54 = 6x

Divide both sides of the equation by 6

9 = x

Having calculated the value of x, remember that SW plus WU equals SU. And diagonal SU equals diagonal VT.

Therefore, VT is calculated as follows;

VT = SW + WU

VT = 2x + 13 + 8x - 41

VT = 2(9) + 13 + 8(9) - 41

VT = 18 + 13 + 72 - 41

VT = 62

8 0

3 years ago

A triangle has side measures of 8, 13, 15. Are these the measures of a RIGHT Triangle?

Andreas93 [3]

Answer:

No.

Step-by-step explanation:

Since we know the side lengths of the triangle, we can figure out whether or not this is a Pythagorean triple.

Pythagorean theorem: a^2 + b^2 = c^2

a and b are both smaller than c.

So,

8^2 = 64.

13^2 = 169.

15^2 = 225.

64 + 169 = 233.

233 is not equal to 225.

Therefore, this is not a right triangle.

6 0

3 years ago

Hannah was asked to make d the subject of the formula d-7=4d+3/e Finish her question.

tigry1 [53]

Answer:

$d = \frac{-1}{e} - \frac{7}{3}$

Step-by-step explanation:

In order to make d the subject of the formula, you need to isolate it.

- You started with d-7 = 4d + 3/e

- Move 4d to the left side by subtracting 4d from both sides to cancel it from the right so you have...

d - 7 = 4d + 3/e This will leave you left with -3d - 7 = 3/e

-4d -4d

- Then move over the -7 by adding 7 to both sides...

-3d - 7 = 3/e This will leave you left with -3d = 3/e + 7

+7 +7

- Finally to get d by itself divide both sides of the equation by -3 and you'll be left with...

$d = \frac{3}{-3e} -\frac{7}{3}$

- You can cancel out the 3 in the -3/3e and make it -1/e so your final answer will be

$d = \frac{-1}{e} - \frac{7}{3}$

5 0

3 years ago

Which of the following statements about rational numbers is not correct? А All whole numbers are also rational numbers. B All ra

iren2701 [21]

Step-by-step explanation:

1736-8166x71662=8177103 :D

3 0

3 years ago

what is the equation of the line described below written in slope-intercept form? the line passing through point (2,2) and perpe

djverab [1.8K]

Answer:

The equation of line passing through point (2 , 2) and perpendicular to line y = x is y = - x + 4 .

Step-by-step explanation:

Given as :

The line equation is y = x

Now, equation of line in slope-intercept form y = m x + c

where m is the slope of line and c is y-intercept

Comparing given line equation with standard line equation

The slope of line y = x is m = 1

Again

Other line is passing through point (2 ,2) and is perpendicular to line y = x

Let The slope of other line = M

∵ From perpendicular lines property

Product of slope of lines = - 1

i.e m × M = - 1

Or , M = $\dfrac{ - 1}{m}$

Or, M = $\dfrac{ - 1}{1}$

∴ M = - 1

Now, Equation of other line in point-slope form

The other line is passing through point (2 , 2) and slope M = - 1

So, y - $y_1$ = M × (x - $x_1$ )

Or, y - 2 = - 1 × ( x - 2 )

Or, y - 2 = - x + 2

Or, y = - x + 2 + 2

Or, y = - x + 4

Hence, The equation of line passing through point (2 , 2) and perpendicular to line y = x is y = - x + 4 . Answer

5 0

3 years ago