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3 years ago

Can a quadrilateral be both a parallelogram and a rhombus?

2 answers:

8 0

It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal. It is also a rectangle and a parallelogram. A rhombus is defined as a parallelogram with four equal sides.

PSYCHO15rus [73]3 years ago

8 0

Yes. A quadrilateral is a 4 sided shape with 2 diagonals and all angles add up to 360

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ABCD is a rectangle. Find the measure of the following angles (select an answer for each row)

RoseWind [281]

Answer:

Angle 1 - 24 degrees

Angle 2 - 48 degrees

Angle 3 - 66 degrees

Angle 4 - 66 degrees

Angle 5 - 24 degrees

Angle 6 - 66 degrees

Angle 7 - 132 degrees

Step-by-step explanation:

I wanted to get this too you as fast as possible. I will add a detailed explanation in the comments.

7 0

3 years ago

Use the Pythagorean theorem

Stels [109]

Answer:

the pythgorean theorem is

a^2 +b^2=c^2

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which of the following is the inverse of f(x)=3-x/5?

pshichka [43]

Answer:

-5x+3 OR 5x-3

Step-by-step explanation:

You find the inverse by replacing the x with the y, and solving for y. Doing this actually gives you -5x+3 but in this case, the closest answer would be 5x-3.

UPDATE: -5x + 3 can be written as 3 - 5x lol

5 0

3 years ago

Read 2 more answers

If the unit selling price is $2.50 and the unit cost is $1.00, what action is needed to maintain the gross margin percentage whe

REY [17]

Get the gross margin percentage of cost and multiply it to the new unit cost to get maintain the same gross margin percentage of cost.

Units Selling Price : 2.50
Unit Cost - <u>1.00</u>
Profit Margin : 1.50

Gross profit margin % on sales: 1.50 / 2.50 = 0.60 x 100% = 60%
Gross profit margin % on cost : 1.50 / 1.00 = 1.50 x 100% = 150%

If the cost increase by $0.25
Unit cost : 1.00 + 0.25 = 1.25

1.25 * 150% = 1.875 gross margin.

Gross margin + Unit Cost = Unit Price
1.875 + 1.25 = 3.125

Gross margin % on sales : 1.875 / 3.125 = 0.60 x 100% = 60%
Gross margin % on cost : 1.875 / 1.25 = 1.50 x 100% = 150%

8 0

4 years ago

Hi. Please help me with these questions <br> See image for question.Answer no 6 and 7

Gnom [1K]

Answer:

6. See solution
7. k = 2, k = -6

Step-by-step explanation:

<u>Given equation:</u>

2(x + 2)² + p(x + 1) = 0

The sum of the roots is q1 and the product of the roots is q2

Need to show that q1+q2 = 0

<h3>Solution</h3>

<u>Bringing the equation into standard form of ax² + bx + c = 0:</u>

2(x + 2)² + p(x + 1) = 0
2x² + 8x + 8 + px + p = 0
2x² + (p + 8)x + (p + 8) = 0

<u>Sum of the roots: </u>

q1 = - b/a = -(p + 8)/2

<u>Product of the roots:</u>

q2 = c/a = (p + 8)/2

<u>We see that q1 and q2 are opposite numbers, therefore their sum equals zero:</u>

q1 + q2 = -(p + 8)/2 + (p + 8)/2 = 0

=============================================

<u>Given quadratic equation:</u>

x² - (k + 2)x + 4 = 0

It has equal roots

Need to find the possible values of k

<h3>Solution</h3>

<u>When the quadratic equation has equal roots, then its discriminant is equal to zero:</u>

D = 0
√b² - 4ac = 0
√(-k -2)² - 4*1*4 = 0
√k² + 4k + 4 - 16 = 0
√k² + 4k - 12 = 0
k² + 4k - 12 = 0
k = {-4 ± √4² -4*1*(-12)}/2
k = (-4 ± √16 + 48)/2
k = (-4±√64)/2
k = -2 ± 4
k = 2, k = -6

7 0

3 years ago