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Tpy6a [65]
3 years ago
15

Triangle ABC is similar to triangle DEF with a ratio of 3/5 If the difference of their

Mathematics
1 answer:
barxatty [35]3 years ago
6 0

9514 1404 393

Answer:

  • ΔABC -- 60 inches
  • ΔDEF -- 100 inches

Step-by-step explanation:

If P is the perimeter of the larger triangle, then 3/5P will be the perimeter of the smaller one. The difference in perimeters is ...

  P -3/5P = 40 in

  2/5P = 40 in

  P = (5/2)(40 in) = 100 in

  3/5P = 3/5(100 in) = 60 in

The smaller triangle perimeter is 60 in; the larger is 100 in.

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Solve the system by substitution x=-8y-15 2x+5y=-8
Ghella [55]

To solve this system by substitution, we must substitute in the value we are given for x in terms of y (the first equation) into the second equation.  This is modeled below:

x = -8y - 15

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2 (-8y - 15) + 5y = -8

Now, we should solve this new equation for y.  To begin, we should use the distributive property to get rid of the parentheses on the left side of the equation and begin the simplification process.

-16y - 30 + 5y = -8

Next, we can combine like terms on the left side of the equation by adding together the two terms that both contain the variable y.

-11y - 30 = -8

Next, we should add 30 to both sides in order to move all of the constant (number) terms to the left side of the equation.

-11y = 22

After that, we should divide both sides of the equation by -11 in order to get the variable y alone.

y = -2

Now, we can substitute our value for y back into one of our original equations (it doesn't matter which one you choose; they will yield the same answer).

x = -8y - 15

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To simplify, we should following the order of operations outlined by PEMDAS and compute the multiplication and then the subtraction.

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Therefore, the answer to the system is x = 1 and y = -2, or (1,-2) when written as an ordered pair.  

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3 years ago
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Step-by-step explanation:

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Therefore, the slope of a line that is perpendicular to the x-axis ​is undefined.

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Using the slope formula

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Answer:

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