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Sergeu [11.5K]
3 years ago
12

Complete the pairs of corresponding parts if RST=TXY

Mathematics
1 answer:
o-na [289]3 years ago
6 0

Answer:

  • R ⇔ T
  • S ⇔ X
  • T ⇔ Y
  • RS ⇔ TX
  • RT ⇔ TY
  • ST ⇔ XY

Step-by-step explanation:

Corresponding parts are listed in the same order in the congruence statement:

  RST ≅ TXY

  R ⇔ T

  S ⇔ X

  T ⇔ Y

  RS ⇔ TX

  RT ⇔ TY

  ST ⇔ XY

_____

Above, we have used ⇔ to mean "corresponds to."

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The lengths of the sides of a rectangular window have the ratio 1.2 to 1. The area of the window is 811.2 square inches. What ar
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Answer:

a. 26 inches by 31.2 inches

Step-by-step explanation:

The lengths(X) of the rectangular is 1.2 times longer than the width (Y), so you can put it into this equation

x= y * 1.2

x= 1.2 y

The area of the window is 811.2 square inches, so you can put this equation

x * y= 811.2

Combining both equations, you can get

x * y= 811.2

(1.2y) * y = 811.2

1.2y^2= 811.2

y^2= 676

y= 26

x= 1.2 y

x= 1.2(26)= 31.2

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4 years ago
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This is a cubic binomial.
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3 years ago
The table below represents the distance of an airplane from its destination as a function of time:
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\bf \begin{array}{ccllll}
time(hours)&distance(miles)\\
-----&-------\\
0&2700\\
1&2160\\
2&1620\\
3&1080\\
4&540
\end{array}

part A)

y-intercept is when the graph "intercepts" or touches the y-axis, and when that happens, x = 0, on that table, is the very first row, 0, 2700.

what does that mean? well, at 0 hours, the plane was 2700 miles away.
or another way to put it, the plane was still on the runway at the airport and hadn't taken off at 0 hours, and the airport where it was is 2700 miles away from its destination.

part B)

from the table, we can see the x = 1, y = 2160, and when x = 4, y = 540,
so our two points are (1, 2160) and (4, 540).

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 1}}\quad ,&{{ 2160}})\quad 
%   (c,d)
&({{ 4}}\quad ,&{{ 540}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{540-2160}{4-1}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}
\\\\\\
\cfrac{-1620}{3}\implies \boxed{-540}

or -540/1, well the top is the rise(miles) and the bottom is the run(hours)... so it means -540 miles per each 1hour,
or
for every passing hour the plane is travelling, the distance from its origin and its destination is shrinking, namely, is getting closer to its destination.

part C)

well, we know for every hour is dropping by 540, so, 4hrs is 540, so 5hours it will drop another 540, or 540 - 540 = 0

so, the domain will be [0, 5], since after 5hours it'd be at its destination, because at 5hrs the miles away is 0, meaning it arrived at the destination.
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Answer:

No solution equation

Step-by-step explanation:

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