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2 years ago

Can someone please help me with this thanks

Mathematics

1 answer:

xenn [34]2 years ago

3 0

Answer:

24 (units)

Step-by-step explanation:

Because Quadrilateral EFGH is being dilated by a scale factor of 3/4, this means that each side of E'F'G'H' gets multiplied by 3/4. In this case, we are going to divide by 3/4 to return to the original figure (or multiply by 4/3 since that is the reciprocal)

This means that side HE is 18/(3/4) = 18(4/3) = 72/3 = 24 units

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timurjin [86]

Hi!

A is FALSE - If you shrink a shape, it is not increased a shape, yet it is still dilating.

B is TRUE - When you dilate an angle, you're really just shortening or lengthening the sides, but the angle isn't changing.

C is FALSE - Explained above.

D is FALSE - Two triangles that are congruent are exactly the same, therefore if you dilate a triangle, you are changing the size so they are not the same.

E is TRUE - Similar shapes are always the same except for their size. When you dilate a shape, you only change the size, therefore they are equal in every other way and they are similar.

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2 years ago

If z=15, what would the expression z2 – 2z + 15 be equal to?

svet-max [94.6K]

Answer:

Step-by-step explanation:

z2 - 2z + 15

(15)2 - 2(15) + 15

30 - 30 + 15

0 + 15

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2 years ago

Read 2 more answers

14. Determine if the statement is true or false.

Effectus [21]

It depends if x is positive or negative and the same as in y

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3 years ago

The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba

siniylev [52]

The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

$x(x+5)=204 \\
x^2+5x=204 \\
x^2+5x-204=0 \\
x^2+17x-12x-204=0 \\
x(x+17)-12(x+17)=0 \\
(x-12)(x+17)=0 \\
x-12=0 \ \lor \ x+17=0 \\
x=12 \ \lor \ x=-17$

The length of the base of a parallelogram must be a positive number, so x=12.

$\hbox{the base:} \\ x=12 \\ \\
\hbox{the height:} \\ x+5=12+5=17$

The base is 12 feet long, the height is 17 feet long.

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2 years ago

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mamaluj [8]

Answer:

He should pay $2,790.7.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

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After t years, the total amount of money is:

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