All categories

3 years ago

AB = x + 8

Mathematics

1 answer:

vivado [14]3 years ago

3 0

Answer: The length of BC is 7

Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then

AB=DC and

AD=BC

Inputting the values of AB, DC and AD as given in the question:

x + 8 = 3x ...(1)

x + 3=? ...(2)

We have to solve for the value of x to get the actual lengths and thus ascertain BD.

From equation (1):

8 = 3x - x

8 = 2x

8/2 = x

Therefore, x = 4.

If x = 4 then equation(2) would be

4 + 3= 7.

Hence, the actual lengths of the quadrilateral are:

AB = 4 + 8. DC = 3(4)

=12. =12.

AD = 4 + 3. AD = BC

= 7. Therefore, BC = 7.

Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.

You might be interested in

which fraction below represents the following statement "in the third game of the season Martha made one of 5 free throws"

Sphinxa [80]

She made (?) out of 5 free throws, making the fraction
$\frac{(?)}{5}$ , which is the solution.

$\frac{(?)}{5}$

4 0

2 years ago

Jenny started with $5 in her piggy bank and earns an

alina1380 [7]

Answer:

x = 3 days y = $7

Step-by-step explanation:

7 0

2 years ago

Describe the error in the picture?

Veseljchak [2.6K]

Answer:

it says 2 for $10 when you can easily get 2 for $7.60

Step-by-step explanation:

6 0

3 years ago

The product of 1 1/2 and 2 is

Over [174]

Method 1:

Convert the mixed number to the improper fraction:

$1\dfrac{1}{2}=\dfrac{1\cdot2+1}{2}=\dfrac{3}{2}$

Make the product:

$1\dfrac{1}{2}\cdot2=\dfrac{3}{2}\cdot2$

<em>canceled 2</em>

$=\dfrac{3}{\not2_1}\cdot\not2^1}=\boxed{3}$

Method 2:

$1\dfrac{1}{2}=1+\dfrac{1}{2}$

$1\dfrac{1}{2}\cdot2=\left(1+\dfrac{1}{2}\right)\cdot2$

<em>use the distributive property a(b + c) = ab + ac</em>

$(1)(2)+\left(\dfrac{1}{2}\right)(2)=2+1=\boxed{3}$

7 0

3 years ago

Use what you know about decimals or fractions to explain why (0.2)•(0.002)=0.0004

strojnjashka [21]

Answer:

So any time you are multiplying something, you are making "groups of"

so 3 groups of 2 = 6, 4 groups of 3 = 12

But with decimals or fractions, because they are a value less than zero, the numbers become increasingly small instead of bigger, like standard multiplication.

So for example, 1 group of 1/2 = 1/2

2 groups of 1/4 = 1/2

and so on

hope this helps!

6 0

2 years ago