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ivolga24 [154]
3 years ago
12

Look at the figure shown below:

Mathematics
1 answer:
kow [346]3 years ago
8 0

Answer:  b) two sides and the included angle are congruent

<u>Step-by-step explanation:</u>

  RS = QS                 SIDES are congruent

∠PSR ≡ ∠PSQ         ANGLES are congruent

 PS = PS                  SIDES are congruent

ΔPSR ≡ ΔPSQ by the Side-Angle-Side (SAS) Congruency Theorem

Since we know the triangles are congruent, we can state that their parts are congruent:

Congruent-Parts of-Congruent-Triangles are-Congruent (CPCTC)

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What Is the dependent variable the shoe size or the height
Maurinko [17]

Answer:

The dependent variable is the shoe size

Step-by-step explanation:

7 0
2 years ago
Kira walks 8 and a half blocks in 17 minutes. If Kira continues to walk at a steady pace, how many blocks will she walk each min
nlexa [21]

Answer:

Half a block ( 0.5 or 1/2 )

Step-by-step explanation:

8 1/2  blocks can also be written as 8.5 blocks.

If Kira walks 8.5 blocks in 17 minutes [and continues to walk at this steady pace], divide 8.5 by 17.

8.5/17 = 0.5

So, Kira walked 0.5 or 1/2 blocks in a minute.

I hope this helps! :)

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2 years ago
Prove that P(2,3), (3, 4), R(5, 6) and S(4,5) are the<br>vertices of a rhombus​
MatroZZZ [7]

<u>Solu</u><u>tion</u><u> </u><u>:</u><u>-</u>

Given coordinates to us are ,

  • P(2,3) .
  • Q(3,4).
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  • S(4,5)

Here it is asked to Prove that these are vertices of Rhombus . So we know that all sides of a Rhombus are equal .So if we show that value of all sides lenght are equal , then it will be a Rhombus .

We will use Distance Formula .

Now , here ,

<u>Dista</u><u>nce</u><u> </u><u>betwe</u><u>en</u><u> </u><u>P</u><u> </u><u>and</u><u> </u><u>Q</u><u> </u><u>:</u>

⇒ x = √ (2 - 3)² + (3-4)² .

⇒ x = √ (-1)² + (-1)² .

⇒ x = √ 1 + 1 .

⇒ x = √2 .

<u>Dista</u><u>nce</u><u> </u><u>betwee</u><u>n</u><u> </u><u>Q</u><u> </u><u>and</u><u> </u><u>S</u><u> </u><u>:</u>

⇒ x =√ [ (3-4)² + (5-4)².

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⇒ x = √ 1 + 1 .

⇒ x = √2 .

Similarly we can prove other distances equal.

3 0
3 years ago
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asambeis [7]

Answer:

Is an arithmetic sequence

Step-by-step explanation:

This is an arithmetic sequence, because it is a sequence of numbers in which the common difference between consecutive terms is 5

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