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

Mathematics

1 answer:

sergejj [24]3 years ago

8 0

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

You might be interested in

What is the volume of the carton? V = Bh Area of a triangle = 1/2 x b x h

Angelina_Jolie [31]

Hi there!

$\large\boxed{\text{ 10.5 in}^3}}$

Begin by solving for the area of the base:

A = 1/2 (bh)

Thus:

A = 1/2(2 · 1.5) = 1.5 in²

Multiply by the depth to find the volume:

A = 1.5 × 7 = 10.5 in³

5 0

3 years ago

Read 2 more answers

How can probabilities be used to make fair decisions?

GarryVolchara [31]

he magician starts with the birthday boy and moves clockwise, passing out 100100100100 pieces of paper numbered 1111 through 100100100100. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 100100100100, and chooses the volunteer with that number.

Method2: The magician starts with the birthday boy and moves counter-clockwise, passing out 75757575 pieces of paper numbered 1111 through 75757575. He cycles around the circle until all the pieces are distributed. He then uses a random number generator to pick an integer 1111 through 75757575, and chooses the volunteer with that number.

Method 3\: The magician starts with the birthday boy and moves clockwise, passing out 30303030 pieces of paper numbered 1111 through 30303030. He cycles around the circle until all the pieces are distributed. He gives #1111 to the birthday boy, #2222 to the next kid, and so on. He then counts the number of windows in the room and chooses the volunteer with that number.

yes probabilites can be used to make fair ones

thanx

heya

6 0

4 years ago

Which expression is equivalent to the following complex fraction? 1-1/x/2

pishuonlain [190]

Look at the attached picture

hope it will help u ....