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vfiekz [6]
3 years ago
7

Triangle ABC undergoes a transformation using the rule (x,y) → (x + 7. y + 3) to form triangle A'B'C'. Determine if ABC is

Mathematics
1 answer:
storchak [24]3 years ago
5 0

Answer:

ΔABC and ΔA'B'C' are congruent, by the SSS rule of congruency

Step-by-step explanation:

The given parameters are;

The transformation undergone by triangle ABC = (x, y) → (x + 7, y + 3) to give triangle A'B'C'

Therefore, the points on triangle ABC are transformed by a translation of 7 units to the right and 3 units up to form triangle A'B'C'

Given that a translation transformation is a form of rigid transformation, we have;

The lengths of triangle ABC are congruent to the lengths of the sides of triangle A'B'C'

Therefore. ΔABC ≅ ΔA'B'C', by the Side-Side-Side (SSS) rule of congruency.

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Find the range of f(x)=-2x + 6 for the domain {-1, 3, 7, 9}
Blizzard [7]

Answer:

range {4, 12, 20, 24}

Step-by-step explanation:

Plug each of the numbers in for x and solve for y

3 0
3 years ago
Please help me! Giving brainliest!
oksano4ka [1.4K]

Using it's formula, the surface area of the figure is:

A. S=2332 m²

<h3>What is the surface area of a rectangular prism?</h3>

The surface area of a rectangular prism of dimensions l, w and h is given by:

S = 2(lw + lh + wh)

In this problem, the dimensions are:

35m, 9m, 16m

Hence the surface area of the rectangular prism is:

S = 2(35 x 9 + 35 x 16 + 16 x 9) = 2038 m².

<h3>What is the surface area of a cube?</h3>

The surface area of a cube of side length l is given by:

S = 6l².

In this problem, we have that l = 7 m, hence the surface area is:

S = 6 x 7² = 294 m².

<h3>What is the total surface area?</h3>


The total surface area is the sum of the surface areas, hence:

T = 2038 m² + 294 m² = 2332 m².

Which means that option A is correct.

More can be learned about surface area at brainly.com/question/13030328

#SPJ1

5 0
2 years ago
9. Which of the following do you need to know to determine the surface area and volume of a sphere?
Alexxx [7]

Answer:

A: radius of the sphere

Step-by-step explanation:

The formula for surface area is A = 4πr^2

With r being the radius and A the surface area.

For volume it is

V= (4/3)πr^3

6 0
3 years ago
Find x. <br> Side splitter theorem
professor190 [17]

Answer:

x = 9

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

\frac{8}{8+4} = \frac{x-3}{x} , that is

\frac{8}{12} = \frac{x-3}{x} ( cross- multiply )

12(x - 3) = 8x

12x - 36 = 8x ( subtract 8x from both sides )

4x - 36 = 0 ( add 36 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

3 0
3 years ago
How would you write 4n + 3 as a verbal expression
Tatiana [17]
<h3>4 times a number increased by 3.</h3>

When we have a number that appears

right before a variable, it means multiplication.

So 4n means the same thing as 4 times a number.

Remember, n is a variable which is just a

letter that represents any number.

Since we are adding 3 to 4n, we can say

4 times a number increased by 3.

So 4n + 3 can be written as 4 times a number increased by 3.

5 0
3 years ago
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