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3 years ago

7

Triangle PQR is transformed to similar triangle P′Q′R′:

2 answers:

Harrizon [31]3 years ago

8 0

Answer:The scale factor of the dilation is 1/2.

Step-by-step explanation:

I took the test

Arturiano [62]3 years ago

4 0

Answer: The scale factor of the dilation is 1/3.

In a dilation, we are multiplying all the points by a constant to get a set of new points. The shapes will be similar.

In this case, we are moving from Point P at (-6, 6) to Point P' at (-2, 3).

So how does the point change. Let's write and solve the following equations.

-6k = -2 or 6k = 2
k = 1/3 k = 1/3

In both cases, the point was multiplied by 1/3. This is true of all the points.

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2 years ago

EF is the median of trapezoid ABCD.

BARSIC [14]

Answer:

Part A) $x = 11$

B) length of BC = x + 12 = x + 12 = 11 + 12 =23

length of EF = 4x - 18 = 4(11) - 18 = 44 - 18 =26

length of AD = 3x - 18 = 3(11) - 4 = 33 - 4 =29

Step-by-step explanation:

Median of trapezium is $m=\frac{base1+base2}{2}$

In provided figure, base1 is x+12 and base2 is 3x-4

A) solve for value of x

calculate the median $m=\frac{base1+base2}{2}$

$4x-18=\frac{x+12+3x-4}{2}$

$4x-18=\frac{4x+8}{2}$

$4x-18=2x+4$

$2x-18=4$

$2x = 18 + 4$

$2x = 22$

$x = 11$

B) To find the length of BC, AD and EF , put the value of x in equation of lines

length of BC = x + 12 = x + 12 = 11 + 12 =23

length of EF = 4x - 18 = 4(11) - 18 = 44 - 18 =26

length of AD = 3x - 4 = 3(11) - 4 = 33 - 4 =29

5 0

3 years ago

I don’t know what to do, please help!!

Rainbow [258]

Answer:

b 7

Step-by-step explanation:

open the bracket and the power gets cancelled because it will be 5/5

then answer will be 7 to the power 1 which is equals to 7

7 0

2 years ago

An aquarium measures 61 cm long, 30.5 cm wide, and 30.5 cm high.If the tank is only filled to 80% capacity with water, how much

LiRa [457]

Answer:

$V=45396.2\ cm^3$

Step-by-step explanation:

Given that,

The dimensions of an aquarium are 61 cm long, 30.5 cm wide, and 30.5 cm high.

The tank is filled to 80% capacity with water.

We need to find the water needed for this tank.

The volume of cuboid is given by :

$V=lbh$

As it is filled to 80% capacity, so,

$V=\dfrac{80}{100}\times lbh\\\\=0.8\times 61\times 30.5\times 30.5\\\\V=45396.2\ cm^3$

So, $45396.2\ cm^3$ of water is needed for this tank.

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2 years ago

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2 years ago