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Murljashka [212]
3 years ago
7

Which statements describe a parallelogram that must be a square? Select each correct answer.

Mathematics
2 answers:
Oxana [17]3 years ago
8 0

That would be B, C and E.

A and D could be a rhombus.

DiKsa [7]3 years ago
4 0

Answer:

(D) and (E)

Step-by-step explanation:

From the properties of square, we know that all the four sides of the square are always congruent, the diagonals of the square are always equal and the four angles of the square are equal and are of the measure 90°.

Therefore, from the options, D and E are the correct ones because the sides of square are congruent and the angles are also congruent but the diagonals are not perpendicular.

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The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the
Firdavs [7]

Answer:

\boxed{\frac{23}{3} ~in} or \boxed{7,7~in}

.

Step-by-step explanation:

Suppose, the first side is a, the second side is b, and the third side is c. So:

→ a = s - 4

→ b = s

→ c = (s - 4) + 3

→ a + b + c = 15

First step, find the value of s

a + b + c = 15

(s - 4) + s + (s - 4) + 3 = 15

3s - 5 = 15

3s = 15 + 5

3s = 20

s = \frac{20}{3}

So, the third side is

c = (s - 3) + 4

c = s + 1

c = \frac{20}{3} + 1

c = \frac{23}{3}

.

Happy to help :)

5 0
3 years ago
Read 2 more answers
You purchase a $100,000 life insurance policy for a $300 premium each year. If the probability of living is 0.999, find the expe
Lemur [1.5K]

Answer:

The expected value for the insurance company is $200

Step-by-step explanation:

In order to calculate the expected value for the insurance company we would have to make the following calculation:

expected value for the insurance company=expected value live+expected value die

expected value live=Net gain*probability of living

expected value live=$300*0.999=$299.70

expected value die=Net gain*probability of die

expected value die=(-$100,000 + $300)*0.001

expected value die=$-99.70

Therefore, expected value for the insurance company=$299.70-$99.70

expected value for the insurance company=$200

The expected value for the insurance company is $200

4 0
3 years ago
A rectangle has a length of √18 + √32, and a width of √27. Find the area and the perimeter of the rectangle.
Katena32 [7]

Answer:

A=21√6

p=6√3 + 14√2

Step-by-step explanation:

Area =L*W

P=2(L+w)

3 0
3 years ago
Jeremiah opened a savings account with a one-time deposit of $500. His savings account will pay a 5% simple interest per year. H
jolli1 [7]

Answer:

Jeremiah

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
(4x^5 + 3x^2 – x^4) +(6x^2 - 2x^5)
Monica [59]

Answer:

The simplified equation is as follows 2x^5 -x^4 + 9x^2

Step-by-step explanation:

Remove the parentheses around each equation and pair like exponents together

4x^5 - 2x^5 - x^4 + 3x^2 + 6x^2

Then combine the like terms

2x^5 - x^4 + 9x^2

It is in that order due to the proper form being to go from the highest to lowest exponents in an answer

5 0
3 years ago
Read 2 more answers
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