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3 years ago

U = 4i + 9j 8= -8j Find: u +g

Mathematics

1 answer:

weeeeeb [17]3 years ago

5 0

Answer:

4i + j

Step-by-step explanation:

I think you meant g instead of 8.

Given:

u = 4i + 9j

g = -8j

u + g

(4i + 9j) + (-8j)

4i + j

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There are three numbers a ,b,c where a>b and b>c. Describe the positions of the numbers on a number line ????

geniusboy [140]

A is the greatest number and C is the least number.

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3 years ago

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In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.

Hitman42 [59]

$\longmapsto$ The value of "x" is 5.

$\large\underline{\sf{Solution-}}$

Given that,

A trapezium ABCD in which AB || CD such that

AO = x - 1

CO = BO = x + 1

OD = x + 4

Now,

$\rm In \: \triangle \: AOB \: and \: \triangle \: COD$

$\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}$

$\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}$

$\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}$

$\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO}$

$\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4}$

$\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2}$

$\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x$

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3 years ago

Andre says I'm multiplied 4 by 5 then cubed the results select all expressions are equal Andres answer a 4×5 to the power of 3B4

Charra [1.4K]

Answer:

(4 * 5)^3 ;

8000

Step-by-step explanation:

Andre's statement :

Multiply 4 by 5 = 4 * 5 = 20

Cube the result = 20³

The equal expression from the option :

A.) (4 * 5)^3

Also, (4 * 5)^3 = 20^3 = 20 * 20 *20 = 8000

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3 years ago

What’s the value of x in this equation???? Thank u!

andre [41]

Answer:

x = 9

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

50° is an exterior angle of the triangle, thus

38 + 4x - 24 = 50 , that is

14 + 4x = 50 ( subtract 14 from both sides )

4x = 36 ( divide both sides by 4 )

x = 9

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3 years ago

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Which of the following is not part of the Triangle Proportionality Theorem?

natka813 [3]

Answer:

A. AA Similarity Theorem . True

B. Two sides divided proportionally. True

C. A parallel line to one side of a triangle. True

D. A perpendicular line to one side of a triangle. False

Step-by-step explanation:

The Triangle Proportionality Theorem says that if a line is parallel to one side of a triangle, then it splits the other two sides into proportional sections.

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A. AA Similarity Theorem

TRUE, as the angles opposite to equal sides are equal.

And if lines are divided proportionally, both the triangles are Similar by AA similarity theorem.

B. Two sides divided proportionally.

TRUE,as the other two sides of the triangle are divided proportionally by the parallel line.

C. A parallel line to one side of a triangle.

TRUE, as the parallel line divides the other two non- parallel sides in equal proportions.

D. A perpendicular line to one side of a triangle.

FALSE, this part is not required anywhere in the given theorem result.

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