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Kay [80]
3 years ago
14

Which best explains whether or not triangles RST and ACB are congruent?

Mathematics
2 answers:
Galina-37 [17]3 years ago
5 0

Answer:

<em><u>A. The figures are congruent. ΔRST can be mapped to ΔACB by a reflection over the x-axis and a translation 2 units to the left. </u></em>

Step-by-step explanation:

I JUST TOOK THE TEST!!!!!

amm18123 years ago
3 0

Answer: A

Well, the triangles <u>are</u> congruent. So we can eliminate C & D.

B is incorrect. This is because if you map triangle RST across the y-axis, it won't even be close to ABC. Even if you did move the triangle down 2 units, to wouldn't perfectly fit onto ABC.

A is correct because if you reflect it across the x-axis, RST will make the same shape as ABC. Moving it left by 2 spaces will make RST perfectly fit onto ABC.

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After withdrawing $58, Mark
Fofino [41]
$258 dollars. He started with 258, took away 58, and was left with 200.
7 0
3 years ago
P=$4000.00,A=$5300.00,t=5 years
defon

Answer:

The rate of Simple Interest is 6.5 %  

Step-by-step explanation:

Given as :

Principal = $ 4000.00

Amount = $ 5300.00

The time period of loan = 5 years

Let The rate of simple interest = R

Now,

From Simple Interest method

Simple Interest = \frac{Principal\times Rate\times Time}{100}

 And , Simple Interest = Amount - Principal

  So ,  Simple Interest = $ 5300.00 - $ 4000.00

  Or,   Simple Interest = $ 1300

Now, Simple Interest = \frac{Principal\times Rate\times Time}{100}  

So,     $ 1300  = \frac{ 4000\times Rate\times 5}{100}  

Or,     $ 1300 × 100 = $ 4000 × Rate × 5

Or,     Rate  =  \frac{1300\times 100}{4000\times 5}

Or,     Rate  = 6.5  

Hence The rate of Simple Interest is 6.5 %   Answer

3 0
3 years ago
The sum of the page numbers on the facing pages of a book is 629. what are the page numbers
jok3333 [9.3K]
So basically, these numbers have to be consecutive because they're facing pages.

So you can just divide this by 2, and then add one to the second number.

629/2 = 314 R1

So the first page number is 314, and for the second one, just add one, and you get 315.
8 0
3 years ago
Read 2 more answers
Find the zeros of the polynomial function: <br> f(x) = 9x^3 - 27x^2 - 4x + 12.
hichkok12 [17]

Answer:

  {-2/3, 2/3, 3}

Step-by-step explanation:

The equation can be factored by grouping.

  f(x) = (9x^3 -27x^2) +(-4x +12)

  f(x) = 9x^2(x -3) -4(x -3)

  f(x) = (9x^2 -4)(x -3)

We recognize the first factor as the difference of squares, so know it can be further factored to give ...

  f(x) = (3x -2)(3x +2)(x -3)

The zeros are the values of x that make these factors be zero:

  3x -2 = 0   ⇒   x = 2/3

  3x +2 = 0   ⇒   x = -2/3

  x -3 = 0   ⇒   x = 3

The zeros of the polynomial are x = -2/3, 2/3, 3.

3 0
3 years ago
A plane travels at a speed of 205mph in still air. Flying with a tailwind, the plane is clocked over a distance of 975 miles. Fl
irakobra [83]

Answer:

T1 = 975 / (205 + V)         flying with wind

T2 = 975 / (205 - V)         flying against wind

T2 = T1 + 2

975 * {1 / (205 - V) - 1 / (205 + V)] = 2

(205 + V + V -205) / (205^2 - V^2) = 2 / 975

V^2 + 975 V - 42025 = 0          rearranging

V = 41.3

Values of flying are  246.3 and 163.7

Check:  

T1 = 975 / 246.3 = 3.96 hrs

T2 = 975 / 163.7 = 5.96 hrs

6 0
3 years ago
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