Which statements are correct about quadrilaterals?Choose all answers that are correct.

A.
All squares are rhombuses.

B.
All rectangles are parallelograms.

C.
All rhombuses are trapezoids.

D.
All 4-sided shapes have at least one pair of parallel sides.

Answers

Answer 1
Answer: Hello,

A: True (4 sides equals in a square)

B: True all rectangle has a symetry centre

C: True (2 sides // in a rhombuse since is a parallelogram)

D:False


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Simplify. 2.18 x 10 to the power of 4 PLEASE HELP!!

Please help me!!!! So confused

Answers


Question:

The area of the kite is 48 cm². What are the lengths of the diagonals PR and QS?

________


Solution:

You can split the kite into two isosceles triangles:   PSR and PQR.

Assume that both diagonals intersect each other at the point O.


•   Area of the triangle PSR:

           m(PR) · m(OS)
A₁  =  ————————
                     2

           (x + x) · x
A₁  =  ——————
                  2


           2x · x
A₁  =  ————
              2


A₁ = x²        (i)


•   Area of the triangle PQR:

            m(PR) · m(PQ)
A₂  =  ————————
                     2

           (x + x) · 2x
A₂  =  ——————
                  2

           2x · 2x
A₂  =  ————
               2

           4x²
A₂  =  ———
             2


A₂ = 2x²        (ii)


So the total area of the kite is

A = A₁ + A₂ = 48


Then,

x² + 2x² = 48

3x² = 48

            48
x²  =  ———
            3

x² = 16

x = √16

x = 4 cm


•   Length of the diagonal PR:

m(PR) = x + x

m(PR) = 2x

m(PR) = 2 · 4

m(PR) = 8 cm


•   Length of the diagonal SQ:

m(SQ) = x + 2x

m(SQ) = 3x

m(SQ) = 3 · 4

m(SQ) = 12 cm


I hope this helps. =)


Tags:  polygon area triangle plane geometry

How to solve this problem

Answers

Since they are congruent, all will be the same value.

c = 3
∠d = 38°  (asked for the angle)
g = 5

What is 2+x/5+x=7/8?

Answers

Answer:

x = - (15)/(16)

Step-by-step explanation:

2 + (x)/(5) + x = (7)/(8)

Multiply through by 40 ( the LCM of 5 and 8 ) to clear the fractions

80 + 8x + 40x = 35

48x + 80 = 35 ( subtract 80 from both sides )

48x = - 45 ( divide both sides by 48 )

x = - (45)/(48) = - (15)/(16)

Write the following proportion using colons. 7 is to 21 as 3 is to 9.a. 7:21 = 3:9
b. 7:3 = 21:9
c. 21:7 = 3:9
d. 7:21 = 9:3

Answers

Answer:

Option A.

Step-by-step explanation:

There are two fraction given in this question and we have to write the proportion using colon.

Visually fractions (7)/(21) and (3)/(9) are different but when we simplify these fractions we get the actual relation between them.

We simplify (7)/(21) first.

By dividing from 7 in the numerator and denominator we get

((7)/(7))/((21)/(7))=(1)/(3)

similarly we simplify the fraction (3)/(9)

By dividing numerator and denominator by 3

((3)/(3) )/((9)/(3) )=(1)/(3)

Now we can say that both the fractions are equal.

(7)/(21)=(3)/(9)=(1)/(3)

So the ratio will be 7 : 21 = 3 : 9

Option A. will be the answer.

The answer is 7:21 = 3:9.

Find the value of 21-18 3 2. O1 2 O2 O9 18​

Answers

Thank you for asking your question!

Have more? Just ask!

Answer:

9

Explanation:

18 / 3 = 6 x 2 = 12.

21 - 12 = 9

Hope this helps!

Answer:

3

,

3

,

2

O

,

2

O

2

,

O

9

,

18

Step-by-step explanation:

2/3 of what number is 16?

Answers

Let the unknown number equal x.
(2/3)x = 16 
You can get rid of the fractions by multiplying both sides by 3.
3(2/3)x = 16(3)
2x = 48
Then divide both sides by 2.
2/2 = 1                          48/2 = 24
x = 24

2/3 of 24 is 16

You can double check by multiplying 2/3 times 24. This is 16. So we are correct.

The solution is: 2/3 of 24 is 16.

Here, we have,

Let the unknown number equal x.

(2/3)x = 16

You can get rid of the fractions by multiplying both sides by 3.

3(2/3)x = 16(3)

2x = 48

Then divide both sides by 2.

2/2 = 1                        

48/2 = 24

so, we get,

x = 24

the answer we have,

2/3 of 24 is 16.

now,

we can double check by multiplying 2/3 times 24.

This is 16. So we are correct.

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