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

You were given 40 m of fencing to make a

DiKsa [7]

B) determine the maximum area of the garden

3 0

1 year ago

Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) .

Ronch [10]

To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become. If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:

$A(-4, 1) \rightarrow A'=-2(-4,1) \rightarrow A'(8,-2) \\ \\ B(-3, -4) \rightarrow B'=-2(-3,-4) \rightarrow B'(6,8) \\ \\ C(-2, -2) \rightarrow C'=-2(-2,-2) \rightarrow C'(4,4)$

So, the graph of the dilated triangle is shown in the Figure below

8 0

3 years ago

Read 2 more answers

PLZ HELP!!!! WILL MARK BRAINLEST IF CORRECT

OverLord2011 [107]

Answer: the answer is 54

Step-by-step explanation: The error in the expression was that it was multiplied by 1 so it can't be one unless it was also 1 and it's not it is 54.

8 0

2 years ago

1/4 of 24 on tape diagram

Lemur [1.5K]

Draw the tape diagram: a long rectangle and divide it into 4 squares in a row.The whole rectangle represents 24 (as a whole number), you're dividing it into 4 parts because you want to know what is 1/4 of it.Now, to find the value of each square: 24:4 = 6.Put the number 6 in each square, and you have found your result.1/4 of 24 is 6.

8 0

3 years ago

A bank manager is interested in the average length of time that customers are willing to wait in line before they give up and le

Fynjy0 [20]

Answer: The average length of time that the 25 customers waited before leaving the bank. e. Statistic

The list of times for the 25 customers who left the bank. f.Data

All of the bank's customers d. Population

The 25 customers that the manager observed leave. c. Sample

The length of time a customer waits before leaving the bank. a. Variable.

The average length of time that all customers will wait before leaving the bank a. Parameter

Step-by-step explanation:

A data is a list of observations.

In statistics, a variable is an attribute that defines a person, place, thing, or thought.

A large group that have similar individuals as per the researcher's point of view is known as population, where its subset is known as sample.

The measure of certain characteristic in population is known as parameter, where for sample it is known as statistic.

8 0

3 years ago