All categories

3 years ago

ABCD is a parallelogram.

Mathematics

1 answer:

kow [346]3 years ago

3 0

Opposite sides of a parallelogram are equal lengths, so ...

... AB = CD

... 6x +30 = 2y -10

and

... BC = AD

... 2x -5 = y -35

_____

The equations can be put in standard form to get

... 3x -y = -20

... 2x -y = -30

Subtracting the second from the first, we get

... x = 10

Solving for y, we have

... y = 2x+30 = 2·10 +30 = 50

The values of x and y are x=10, y=50.

_____

AB = 6x+30 = 90

BC = 2x-5 = 15

You might be interested in

Hi i need a lil help 6(x + 4) = 48 x=

valkas [14]

Answer:

x=4

Step-by-step explanation:

6(8) = 48

4 0

3 years ago

Read 2 more answers

A survey was done to determine the effect of students changing answers while taking a multiple-choice test on which there is on

Umnica [9.8K]

Answer:

6% of the changes were from incorrect to incorrect

Step-by-step explanation:

The sum of the percentages must be 100%.

We have these following percentages

65% of the changes were from incorrect answers to correct

29% were from correct to incorrect

P% were from incorrect to incorrect

$65 + 29 + P = 100$

$P = 100 - 94$

$P = 6$

6% of the changes were from incorrect to incorrect

7 0

3 years ago

Does anybody know this ???

Anna11 [10]

Answer:

-7x - 18

Step-by-step explanation:

-4x - 10 - 3x - 8 = - 7x - 18

8 0

4 years ago

Read 2 more answers

The corners of a square lie on a circle of diameter d = 0.35 m. each side of the square has a length l. find l.

sergeinik [125]

Refer to the attached image.

As we can observe ABCD is a square, whose corners that is A,B,C and D lie on the circle.

The diameter AC = 0.35 meter.

We have to find the side of square.

Let the measure of side of a square be 'l' meter

In triangle ABC,

By Pythagoras theorem, we get

$(AC)^2 = (AB)^2 + (BC)^2$

$(0.35)^2 = (l)^2 + (l)^2$

$(0.35)^2 = 2(l)^2$

$\frac{(0.35)^2}{2} = (l)^2$

$l^2 = 0.06125$

So, l = 0.25 meter

Therefore, the measure of side of the square is 0.25 meter.

6 0

3 years ago

NEED HELP RIGHT AWAY!!!! identify some of the key features of the graph. That is, determine if the function is monotonically inc

Anna11 [10]

Answer: the function is monotonically increasing since the output values are continually getting larger. This also tells us that the end behavior of the function is infinity.

The x-intercept is (0,0), the y-intercept is (0,0), and the endpoint too is (0,0).

The domain of the graph is all values greater than or equal to 0, and the range is all positive output values.

Step-by-step explanation:

Plato answer

7 0

3 years ago