All categories

3 years ago

For what value of x must ABCD be a parallelogram? Picture below*

Mathematics

1 answer:

sesenic [268]3 years ago

7 0

Answer:

x = 5

Step-by-step explanation:

Comment

BD is already given to you as bisected. AC must also be bisected. That means that 6x and 7x - 5 must the the same value. Then and only then will the figure be a parallelogram. (a four sided figure is a parallelogram if the 2 diagonals are bisected.

Equation

6x = 7x - 5 Subtract 6x from both sides

Solution

6x - 6x = 7x - 6x - 5 Simplify

0 = x - 5 Add 5 to both sides

5 = x - 5 + 5 Simplify

x = 5

You might be interested in

Find the slope of the line. m =

IRISSAK [1]

Answer: m=4

Step-by-step explanation:

To find the slope, we use the formula $m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$ . We can use the two points to find the slope. The points on the graph are (-2,1) and (-3,-3).

$m=\frac{-3-1}{-3-(-2)} =\frac{-4}{-1} =4$

8 0

3 years ago

A metal rod is 7/8 Meters long. It will be cut into pieces that are each 1/56 meters long. How many pieces will be made from the

damaskus [11]

49 pieces because 7/8 is equivalent to 49/56. If each piece is 1/56, then there 49 of them.

6 0

3 years ago

Help, i will give brainliest! :)

ella [17]

Answer:

Step-by-step explanation:

it on my homwwork and we did it in class brainliest please :))

7 0

3 years ago

Read 2 more answers

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (assume that

Lilit [14]

Your sequence
-8, 16/3, -32/9, 64/27
is a geometric sequence with first term -8 and common ratio
(16/3)/(-8) = (-32/9)/(16/3) = -2/3

The general term an of a geometric sequence with first term a1 and ratio r is given by
an = a1·r^(n-1)
For your sequence, this is
an = -8·(-2/3)^(n-1)

6 0

4 years ago

Brian read 8 1/4 pages of a book in 1/6 hour. At thus rate, what is the total number of pages if the book he will read in 1 hour

Oksana_A [137]

8 1/4 -> 1/6 hour
How many pages -> 1 hour?

You can use the cross multiply method
$\frac{8 \ \:\frac{1}{4} \times 1 }{ \frac{1}{6} }$

= 49.5 pages

Or you change the hours to minutes.
1/6 hour is 10 min.
[1/6 × 60 = 10 ]
Either way you'll get the same answer.

5 0

3 years ago