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Bess [88]
4 years ago
10

Which set of side lengths could be the sides of a triangle?

Mathematics
1 answer:
nydimaria [60]4 years ago
4 0
The right answer is probably C
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Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Anettt [7]

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

  • <u>AB = RS</u>
  • <u>∠ABC ~ ∠RST</u>
  • <u>ΔABC = ΔRST</u>
  • <u>m∠BAC = m∠SRT</u>

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

  • <u>AB = RS</u>; Image formed by rigid transformation
  • <u>∠ABC ~ ∠RST</u>; Definition of similarity
  • <u>ΔABC = ΔRST</u>; By definition of congruency
  • <u>m∠BAC = m∠SRT</u>; by the definition of congruency

Learn more here:

brainly.com/question/11787764

7 0
3 years ago
Which of the following is the inverse of N(r) if N(r)=8r+17
BaLLatris [955]
N=8r+17 \\ 8r=N-17 \\ r= \frac{N-17}{8}  \\  Inverse \ is \ \frac{r-17}{8}
8 0
3 years ago
Can someone help me with my math ?
shepuryov [24]
Easy! Just substitute.

That will be 3 + 8 * 4

Remember PEMDAS? Multiplication comes before addition, so FIRT MULTIPLY.

3+ 32= 35
Final answer= 35
3 0
4 years ago
Find the volume of the composite solid.
ioda
I hope this helped, have a nice day

6 0
3 years ago
Read 2 more answers
Part C Now try this one. Write a description of the partitioned function using known function types, including transformations.
Sever21 [200]

Answer:

Following are the function description to the given question:

Step-by-step explanation:

In the given-question, three functions are used, that can be defined as follows:  

In function 1:

This function is also known as the modulus on the absolute value function, for example:

f(x)=| x| \left \{ {{x , \ \ \ x>0} \atop {-x, \ \ \ \x

In the given in the above graph, that is f(x) = -x , \ \  x

In function 2:

In this function, It is an algebraic function that is y=x^2

It is also a part of the quadratic polynomial function, and its value is y=x^2 , \ \ \ x> 0  

In function 3:

In this function, it is the cubic polynomial equation that's value is y=x^3

In the graph its value is:

y=-x^3\\\\and \\ \\\to y= f(x) \\\\ \to y=-f(x)\\

6 0
3 years ago
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