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Vlad1618 [11]
3 years ago
6

Given: vu=st, sv=tu prove vx=xt

Mathematics
1 answer:
babymother [125]3 years ago
6 0
Given <span>vu=st, sv=tu 

</span>STUV is a parallelogram :  If both pairs of opp. sides of a quad. are , then the quad is a parallelogram.

VX, XT = The diagonals of a parallelogram bisect each other.


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Choose the expression that represents a quadratic expression. 9x − 2 5x2 + 9x − 1 −2x3 + 8x2 − 7x + 1 x4 − 12x3 + 8x2 − 7x + 1
elena-s [515]

Answer:

5 {x}^{2}  + 9x - 1

Step-by-step explanation:

A quadratic expresion is of the form

a {x}^{2}  + bx + c

where

a \ne0

The give options are:

9x-2

5{x}^{2}+9x - 1

-2x^3+8 {x}^{2}  -7x +1

x^4-12x^3+8 {x}^{2}  -7x +1

From the given options, the only expression which is quadratic is

5 {x}^{2}  + 9x - 1

where a =5, b=9 and c=-1

Therefore the correct choice is the second option.

3 0
4 years ago
Simplify this expression.<br> 17 - 12x - 18 - 5x
sergij07 [2.7K]

Answer:

-17x-1

Step-by-step explanation:

5 0
3 years ago
3x-9=2x+4 solve this equation
alina1380 [7]

Answer:

3x-9=2x+4

-2x    -2x

x - 9 = 4

  + 9   +9

<h2>x = 13</h2>

First isolate the variable into one side.

Then simplify like terms.

Hope this helps.

5 0
3 years ago
Describe and correct the error in finding the sum. -5/8 + 1/8 = -5+1/8 = -6/8 = -3/4
Sav [38]

Answer:  -1/2 is the correct answer

Step-by-step explanation:

(-5/8)+(1/8)

=((-5+1)/8)

= -4/8

=-1/2

8 0
3 years ago
A length of a rope is is stretched between the top edge of a building and a stake in the ground. The head of the steak is at gro
Kay [80]

Answer:

Height of building is 76 feets

Step-by-step explanation:

The scenario is illustrated in the attached photo. The stretched rope is seen coming from the top of the building, passing through the top of the tree which is halfway the height of the building and touching the state which is on the ground.

The distance, x of the tree to the building on the ground is equal to the distance, x of the tree from the stake, hence,

Distance of the stake from the building is 2x

Height of the tree = 38 feets

Height of the building = y feets

The triangles formed are similar triangles. Therefore,

38/x = y/2x

Cross multiplying

2x × 38 = x × y

xy = 76x

y = 76x/x = 76 feets

5 0
4 years ago
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