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4 years ago

URGENT HELPP!!!

Mathematics

2 answers:

tatuchka [14]4 years ago

6 0

All three sides are parallel to the corresponding sides, and all corresponding angles are congruent.

Aleonysh [2.5K]4 years ago

3 0

<span>All three sides of triangle X'Y'Z' must be parallel to the corresponding sides in triangle XYZ and the corresponding angles are congruent .

The dilated triangle will be similar to the original triangle, which means all angles will be the same.

</span><span>The sides of the two triangles will also be parallel. You can test this by observing the slopes:
Line XY has a slope of 2/3, moving from -4,2 and passing through -1,4.
Line X'Y' has the same slope, moving from (-6,3) to (-3,5)

You can see that this is the case for all corresponding sides' slopes. </span>

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How do you create a truth table to prove that for any statement, p,~(~p) equals p?

Fynjy0 [20]

If $p$ is true, then $\sim p$ is false, which in turn means $\sim(\sim p)$ is true.

If $p$ is false, then $\sim p$ is true, and so $\sim(\sim p)$ is false.

So, because $p\equiv\sim(\sim p)$ in both cases, the statement is a tautology (always true).

If you were to put this in a table, you would have one column each for $p,\sim p,\sim(\sim p)$ . In the first column ( $p$ ) you can think of $p$ as an independent variable that can only take two values, true and false. In the next column ( $\sim p$ ), you would negate the value in the previous column. And so on.

It should roughly look like this:

p ... ~p ... ~(~p)
T ... F ... T
F ... T ... F

3 0

4 years ago

A polynomial function has roots of -5,2 and 7

sveta [45]

Answer:

P(x) =x³-4x²-31x+70

Step-by-step explanation:

The function is expressed as:

P(x) = (x+5)(x-2)(x-7)

P(x) =(x²-2x+5x-10)(x-7)

P(x) = (x²+3x-10)(x-7)

P(x) = x³-7x²+3x²-21x-10x+70

P(x) =x³-4x²-31x+70

Hence the polynomial is P(x) =x³-4x²-31x+70

3 0

3 years ago

The surface areas of two similar figures are 4 in2 and 9 in2. If the volume of the larger figure is 216 in3, what is the volume

OverLord2011 [107]

We know that
surface area smaller figure=scale factor²*surface area larger figure
scale factor=√[surface area smaller figure/surface area larger figure]
scale factor=√[4/9]-----> scale factor=2/3
so
volume smaller figure=scale factor³*volume larger figure
volume smaller figure=(2/3)³*216----> (8/27)*216----> 64 in³

the answer is
the volume of the smaller figure is 64 in³

8 0

3 years ago

Mr. Thompson is on a diet. He currently weighs 240 pounds and is loosing 8 pounds per month. what would be the equation in slope

wolverine [178]

Y=-8x+240
look honestly im not sure if this is correct but its worth a shot

5 0

3 years ago

Find the sum by first finding the equivalent fractions so that both of the fractions have common denominators. Three eighths plu

Iteru [2.4K]

Answer:

thirteen sixteenths

Step-by-step explanation:

Three eighths plus seven sixteenths equals blank

3/8 + 7/16 = ?

= (2*3)+(1*7)/16

= (6+7)/16

= 13/16

13/16 is equivalent to thirteen sixteenths

5 0

3 years ago