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3 years ago

How Can Cassie probe the quadrilateral ABCD is a parallelogram

Mathematics

1 answer:

Mashcka [7]3 years ago

7 0

Answer:

Explained below.

Step-by-step explanation:

A quadrilateral with two opposite pair of sides parallel to each other is known as a parallelogram.

To prove that a quadrilateral is a parallelogram, the following properties can be used:

The two pair of opposite sides are same in length, i.e. AB = CD and AD = BC.
The two pair of opposite angles are congruent, i.e. ∠A ≅ ∠C and ∠B ≅ ∠D.
The two pair of consecutive angles are supplementary, i.e. ∠A + ∠B = 180° and ∠B + ∠D = 180°.
The diagonals of the quadrilateral bisect each other. i.e. AE = EC and BE = ED.

If the quadrilateral ABCD satisfies these properties then it can be proved that the quadrilateral ABCD is a parallelogram.

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The sides of a triangle have lengths 3, 25, and 27. What kind of triangle is it ?

Andrew [12]

Answer:

Step-by-step explanation:

it's obtuse the sides are to wide

3 0

2 years ago

A clothing store has a section of jeans on sale. There is a 30% chance of picking a pair with a 30-inch inseam; a 25% chance of

Andrej [43]

The expected value of the inseam length of the jeans is found as

30% of 30+ 25% of 32+ 10% of 34+ 10% of 36 + 10% of 38 + 15% of 40

= $\frac{30}{100}\times30 +\frac{25}{100}\times32+ \frac{10}{100}\times34+ \frac{10}{100}\times36 +\frac{10}{100}\times38+ \frac{15}{100}\times40$

= $9+8+3.4+3.6+3.8+6=33.8$

Hence, the third option 33.8 is the correct expected value.

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3 years ago

1. Alice invests $1000 at 2% interest compounded monthly over a 5 year period. Assuming no other money is deposited or withdrawn

eduard

Answer:

$1,105.08.

Step-by-step explanation:

Given that Alice invests $ 1000 at 2% interest compounded monthly over a 5 year period, assuming no other money is deposited or withdrawn, to determine what is the total amount of money in her account after 5 years, the following calculation must be performed:

X = 1,000 (1 + 0.02 / 12) ^ 5x12

X = 1,105.08

Thus, the amount of money in her account after 5 years would be $ 1,105.08.

6 0

3 years ago

How many odd numbers are in 10 to 50?

dlinn [17]

Answer:

Step-by-step explanation:

11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49

3 0

2 years ago

HELP Asap :-/!!!! AHHHHHHHHHHH

pychu [463]

Answer:

x = 9

Step-by-step explanation:

If ΔMNO ≅ ΔPST, their corresponding sides must also be ≅(congruent).

NO is corresponds to TS, thus sides NO and side TS are ≅.

=> 20 = 3x - 7

=> 3x = 27

=> x = 9

6 0

2 years ago