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Yuki888 [10]
3 years ago
11

The two pentagons shown are similar.

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0
The answer is D but correct me if I’m wrong
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In the diagram below, MNPQ is a parallelogram whose diagonals are perpendicular. Prove: MNPQ is a rhombus.
katen-ka-za [31]

Answer:

Given : MNPQ is a parallelogram whose diagonals are perpendicular.

To prove :  MNPQ is a rhombus.

Proof:

In parallelogram MNPQ,

R is the intersection point of the diagonals MP and NQ( shown in below diagram)

\implies MR\cong RP (Because, the diagonals of parallelogram bisects each other)

\angle MRQ\cong \angle QRP (Right angles )

QR\cong QR  (Reflexive)

Thus, By SAS postulate of congruence,

\triangle MRQ\cong \triangle PRQ

By CPCTC,

MQ\cong QP

Similarly,

We can prove, \triangle MRN\cong \triangle PRN

By CPCTC,

MN\cong NP

But, By the definition of parallelogram,

MN\cong QP and MQ\cong NP

⇒ MN\cong NP\cong PQ\cong MQ

All four side of parallelogram MNQP are congruent.

⇒ Parallelogram MNPQ is a rhombus.

Hence, proved.

4 0
3 years ago
I need help finding the sin cos tan​
jonny [76]

Answer:

a. Sin (θ) = 3 / 5

b. Cos (θ) = 4 / 5

c. Tan (θ) = 3 / 4

Step-by-step explanation:

a. Sin (θ) = 6 / 10 = 3 / 5

b. Cos (θ) = 8 / 10 = 4 / 5

c. Tan (θ) = 6 / 8 = 3 / 4

3 0
2 years ago
kay Kay walks upstairs to make her legs stronger. Every day at work, she walks up 9 flights of stairs. If there are 13 steps in
Elis [28]

Answer:

585

Step-by-step explanation:

9 flights = 13 steps

9x13=117 (117 is steps per day)

5x117= 585

7 0
3 years ago
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Write an equivalent expression for (x-3)(x-2)
Anastaziya [24]

This expression is factored completely. However, if we foil, we can make it to it's original expression.

When you foil, you get:

x^2-2x-3x+6

Simplify.

x^2-5x+6

6 0
3 years ago
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There are 1250 students at Cypress Middle School. 42% of the students are enrolled in PE.
Luden [163]

Answer:

525

Step-by-step explanation:

multiply 1250 by the decimal form of the percentage (42% turns to .42)

4 0
2 years ago
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