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fiasKO [112]
3 years ago
15

Which sequence of transformations creates triangles that are similar instead of congruent?

Mathematics
2 answers:
Anvisha [2.4K]3 years ago
8 0

Answer:

Option D. dilation and reflection

Step-by-step explanation:

we know that

A reflection, rotation and a translation transformations, creates a triangles that are congruent

A dilation transformation, create a triangles that are similar

therefore

the answer is the option D

alisha [4.7K]3 years ago
7 0

Answer:

D. dilation and reflection.

Step-by-step explanation:

We know that A reflection, rotation and translation transformations create triangles that are congruent A dilation transformation, create triangles that are similar, so the answer is option D

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The table gives the surface areas, in square kilometres, of five seas.
zlopas [31]

The table is missing, so i have attached it.

Also, the correct question is;

The surface area of the East China Sea is k times the surface area of the Baltic Sea.

Work out the value of k.

Give your answer to the nearest whole number

Answer:

k = 3

Step-by-step explanation:

From the attached table,

Surface area of east china = 1.25 × 10^(6) km²

Surface area of Baltic sea = 4.22 × 10^(5) km² = 0.422 × 10^(6) km²

We are told that the surface area of East China Sea is k times that of the surface area of the Baltic Sea.

Thus;

1.25 × 10^(6) = k × 0.422 × 10^(6)

k = 1.25/0.422

k = 2.96

Approximating to whole number gives;

k = 3

4 0
3 years ago
A fisherman uses a spring scale to weigh a tilapia fish. He records the fish weight as a kilograms and notices that the spring s
belka [17]

Answer:

k = \frac{980a}{b}

Step-by-step explanation:

Fisherman noticed a stretch in the spring = 'b' centimetres

Weight of the fish = a kilograms

If force applied on a spring scale makes a stretch in the spring then Hook's law for the force applied is,

F = kΔx

Where k = spring constant

Δx = stretch in the spring

F = weight applied

F = mg

Here 'm' = mass of the fish

g = gravitational constant

F = a(9.8)

  = 9.8a

Δx = b centimetres = 0.01b meters

Therefore, 9.8a = k(0.01b)

k = \frac{9.8a}{0.01b}

k = \frac{980a}{b}

Therefore, spring constant of the spring will be determined by the expression, k = \frac{980a}{b}

4 0
3 years ago
The average (arithmetic mean) of y numbers is x. if 30 is added to the set of numbers, then the average will be x - 5. what is t
Anastasy [175]
Given,

AM of y numbers = x.

Let the sum of y numbers be s.

AM of y numbers = x

\frac{s}{y} = x

s = y*x

Given, when 30 is added to the y numbers, the AM becomes x - 5.

\frac{s + 30}{y + 1} = x - 5

\frac{y*x + 30}{y +1} = x - 5


y*x + 30 = (x -5)( y +1)

y*x + 30 = y*x + x - 5y -5

5y = x - 5 -30 = x - 35


y =  \frac{x -35}{5} 
8 0
3 years ago
Answer if u love cats & dogs
eimsori [14]

Answer:

<em>(7, 5.25)</em> lies on the graph.

Step-by-step explanation:

We are given the following values

x = 4,   6,  8, 12 and corresponding y values are:

y = 3, 4.5, 6, 9

Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.

Equation of a line passing through two points (x_1,y_1) and (x_2,y_2) is given as:

y=mx+c

where m is the slope.

(x,y) are the coordinates from where the line passes.

c is the y intercept.

Here,

x_{1} = 4\\x_{2} = 6\\y_{1} = 3\\y_{2} = 4.5

Formula for slope is:

m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \dfrac{4.5-3}{6-4}\\\Rightarrow m = \dfrac{1.5}{2}\\\Rightarrow m = \dfrac{3}{4}

Now, the equation of line becomes:

y=\dfrac{3}{4}x+c

Putting the point (4,3) in the above equation to find <em>c</em>:

3=\dfrac{3}{4}\times 4+c\\\Rightarrow 3=3+c\\\Rightarrow c =0

So, final equation of given function is:

y=\dfrac{3}{4}x

OR

4y=3x

As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.

So correct answer is (7, 5.25).

6 0
3 years ago
Simplify (1 − cos x)(1 + cos x). (2 points)
Vadim26 [7]

Answer:

sin²x

Step-by-step explanation:

we have

(1 − cos x)(1 + cos x)=1-cos²x

Remember that

sin²x+cos²x=1 ------> i-cos²x=sin²x

therefore

(1 − cos x)(1 + cos x)=sin²x

4 0
3 years ago
Read 2 more answers
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