Mathematics, 28.01.2021 07:00 mprjug6

Sara drew five shapes on her paper. The fraction that represented the number of rectangles in the set was Two-fifths. Later, she doubled the size of her set by drawing the same five shapes again. The shapes in the set are the only items drawn on Sara’s paper. Which statements are true? Check all that apply. There are 4 rectangles on Sara’s paper.
There are 7 shapes on Sara’s paper.
There are 14 shapes on Sara’s paper.
There are 10 shapes on Sara’s paper.
There are 6 rectangles on Sara’s paper.

Answers: 3

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Answers

Answer from: ADKREBS

Trash L

Step-by-step explanation:

Elmo's Song

Song by Sesame Street

Overview

Listen

Lyrics

This is the song

La la la la

Elmo's song.

La la la la,

Elmo's song.

La la la

La la la la, la

La la la

La la la la, la

He loves to sing,

La la la la,

Elmo's song.

La la la la,

Elmo's song.

He wrote the music.

He wrote the words.

That's Elmo's song.

This is the song,

La la la la

Big Bird's song.

La la la la,

Big Bird's song.

La la la

La la la la, la

La la la

La la la la, la

I love to sing,

La la la la,

Big Bird's song.

La la la la,

Big Bird's song.

I love the music.

I love the words.

That's Big Bird's song!

This is the song,

La la la la

Snuffy's song.

La la la la,

Answer from: Quest

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

Answer from: Quest

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

$\frac{1}{2}$ (0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

$\frac{1}{2}$ (4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

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