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3 years ago

URGENT!!!!

Mathematics

2 answers:

rusak2 [61]3 years ago

8 0

Answer:

Step-by-step explanation:

Ed2020

storchak [24]3 years ago

7 0

Answer: a dilation and a rotation

Step-by-step explanation:

A reflection is a rigid transformation that maps every point of a figure in the plane to point of image of figure, across a line of reflection .
A rotation of some degrees is a rigid transformation which rotate a figure about a fixed point known as the center of rotation.
A translation is a rigid transformation of a figure that moves every point of the figure a fixed distance in a particular direction.
A dilation is a transformation in which a figure is enlarged or reduced with respect to a point known as the center of dilation.

From the given figure it can be seen that ΔABC is reduced to ΔA"B"C" so there must be dilation.

Also, when there is rotation about point C to create ΔA"B"C".

Therefore, the transformations could have occurred to map ΔABC to ΔA"B"C" are a dilation and a rotation.

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Find the value of x<br> .

LenKa [72]

Answer:

x = 9

Step-by-step explanation:

5x + 27 = 45 + 3x

Subtract 3x from both sides

2x + 27 = 45

Subtract 27 from both sides

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Divie both sides by 2

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2 years ago

If BD⊥ AC, m∠DBE = (2x – 1 )and m∠CBE = (5x – 42)find the value of x.

nikklg [1K]

Answer:

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Step-by-step explanation:

Angle DBE + Angle CBE = 90

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2 years ago

1) A business man gives N18 000,00 to his three children

pashok25 [27]

Answer: The least share is N450000

Step-by-step explanation:

Given that :

Amount shared = N18 00000

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Amount shared by each child :

Total ratio = (5 + 4 + 3 )= 12

First share :

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2 years ago

Find the distance between the following pairs of points. Give your answer correct to 2 decimal places if necessary.

Ghella [55]

Answer:

(a) 5

(b) 10

Step-by-step explanation:

We know the distance between two points is:

d= $\sqrt{(x_{2} -x_{1} )^{2} +(y_{2}-y_{1})^{2}}$

we have the following pairs of points:

(a) (2, 4) and (5, 0)

$d=\sqrt{(5 -2)^{2} +(0-4)^{2}} \\\\d=\sqrt{(3)^{2} +(-4)^{2}} \\\\d=\sqrt{9+16}\\\\d=\sqrt{25} = 5$

(b) (8, 1) and (2, -7)

$d=\sqrt{(2 -8)^{2} +(-7-1)^{2}} \\\\d=\sqrt{(-6)^{2} +(-8)^{2}} \\\\d=\sqrt{36+64}\\\\d=\sqrt{100} = 10$

$d=\sqrt{(1 -(-4))^{2} +(-6-6)^{2}} \\\\d=\sqrt{(5)^{2} +(-12)^{2}} \\\\d=\sqrt{25+144}\\\\d=\sqrt{169} = 13$

6 0

3 years ago

Simplify the following algebraic expression: 2 (2x + 3y) + 3 (5 – 2x) +1+y

Gnoma [55]

Answer: -2x+7y+16

Step-by-step explanation:

1. Distribute 2 through the parentheses

4x+6y+3(5-2x)+1+y
4x+6y+15-6x+1+y

2. Collect like terms

-2x+6y+15+1+y
-2x+7y+15+1
-2x+7y+16

3. Solution, -2x+7y+16

5 0

2 years ago