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3 years ago

Parallelogram ABCD is dilated to form parallelogram EFGH. Side AB is

Mathematics

1 answer:

denis23 [38]3 years ago

4 0

Answer:

Step-by-step explanation:

All you have to do is look at the order of the letters/segments and line them up. Like:

ABCD

EFGH

AB AND EF ARE PROPORTIONAL.

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Find the measure of the the sides of DEF then classify it by it sides. <br> D(8,-6) E(-1,-3) F(-2,5)

Mama L [17]

Answer:

Part a) The measure of the sides of triangle DEF are

$d_D_E=\sqrt{90}\ units$

$d_E_F=\sqrt{65}\ units$

$d_D_F=\sqrt{221}\ units$

Part b) Is a scalene triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the coordinates

D(8,-6) E(-1,-3) F(-2,5)

step 1

Find the length side DE

D(8,-6) E(-1,-3)

substitute in the formula

$d=\sqrt{(-3+6)^{2}+(-1-8)^{2}}$

$d=\sqrt{(3)^{2}+(9)^{2}}$

$d_D_E=\sqrt{90}\ units$

step 2

Find the length side EF

E(-1,-3) F(-2,5)

substitute in the formula

$d=\sqrt{(5+3)^{2}+(-2+1)^{2}}$

$d=\sqrt{(8)^{2}+(-1)^{2}}$

$d_E_F=\sqrt{65}\ units$

step 3

Find the length side DF

D(8,-6) F(-2,5)

substitute in the formula

$d=\sqrt{(5+6)^{2}+(-2-8)^{2}}$

$d=\sqrt{(11)^{2}+(-10)^{2}}$

$d_D_F=\sqrt{221}\ units$

step 4

Classify the triangle by the measure of its sides

we have

$d_D_E=\sqrt{90}\ units$

$d_E_F=\sqrt{65}\ units$

$d_D_F=\sqrt{221}\ units$

Is a scalene triangle, because is a triangle in which all three sides have different lengths.

6 0

3 years ago

Write the expanded notation for 15,729?

pshichka [43]

Step-by-step explanation:

15,729 = 10 000 + 5 000 + 700 + 20 + 9

= (1 x 10000) + (5 x 1000) + (7 x 100) + (2 x 10) + (9 x 1)

We can also write it like this :

(1 x 10⁴) + (5 x 10³) + (7 x 10²) + (2 x 10¹) + (9 x 10⁰)

8 0

3 years ago

Select all of the integers less than -3<br><br>1: -12<br>2: 0<br>3: -4<br>4: 3<br>5: -10

MatroZZZ [7]

1,3,5 because they are all negatives less than -3

5 0

3 years ago

The graphs of f(x) and g(x) are shown below: graph of function f of x open upward and has its vertex at negative 7, 0. Graph of

dexar [7]

The equation of the function is g(x)=(x+7)² -2 , Option D is the correct answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement that defines relation between two variables.

The f(x) = (x+7)²

The equation for g(x) is ?

graph of function f of x open upward and has its vertex at (-7,0).

Graph of function g of x opens upward and has its vertex at (-7,2).

g(x) is formed by the translation of the function f(x) such that it's vertex is (-7,-2)

Therefore the equation of the function is

g(x)=(x+7)² -2

Therefore , the translation is a shift of the function f(x) 2 units down

Option D is the correct answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

3 0

2 years ago

Maxi is trying to stack books on a shelf that is 18 inches tall. If the books are each 4/5 inch thick, how many can she stack?

kari74 [83]

I believe it should be 22½ or 22 books

You would need to divide 18 and ⅘

18 ÷ ⅘ = 22½

I hope this helps, even though I’m not totally sure :)

7 0

3 years ago