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belka [17]
3 years ago
11

In quadrilateral ABCD, AD ∥ BC. Quadrilateral A B C D is shown. Sides A D and B C are parallel. The length of A D is 3 x + 7 and

the length of B C is 5 x minus 9. What must the length of segment AD be for the quadrilateral to be a parallelogram? 8 units 16 units 31 units 62 unitsIn quadrilateral ABCD, AD ∥ BC. 9.

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
8 0

Answer:

  31 units

Step-by-step explanation:

When the figure is a parallelogram, opposite sides have the same measure:

  AD = BC

  3x +7 = 5x -9 . . . . . . substitute given expressions

  16 = 2x . . . . . . . . . . . add 9-3x

  8 = x . . . . . . . . . . . . . divide by 2

Use this value of x in the expression for AD to find its required length:

  AD = 3(8) +7 = 24 +7

  AD = 31 . . . . units

The length of segment AD must be 31 units for ABCD to be a parallelogram.

salantis [7]3 years ago
7 0

Answer:

31

Step-by-step explanation:

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P: a month begins with the letter M; q: it has 31 days
aliya0001 [1]

Answer:

May and March

Step-by-step explanation:

They both have 31 days and start with M

4 0
3 years ago
the chef has 12 2/3 cups of flour. he uses 3 1/4 cups of flour to make come pies. how much flower does he have left?
Tcecarenko [31]

Answer:7 5/12

Step-by-step explanation:

12 2/3 times 4 on both sides is become 8/12

3 1/4 times 3 on both sides is 3/12

12 8/12 minus 3 3/12 equals to 7 5/12

7 0
4 years ago
Peter attempted to use the divide-center method to find the line of best fit on a scatterplot.
klasskru [66]

Answer:

He had a different number of points to the left of the vertical line than to the right of the vertical line.

Step-by-step explanation:

Divide-center method is the method which involves dividing the data on the graph into two equal parts and then fin the line of best fit. The center of each group is approximated and then a line is constructed between two centers which is estimated as line of best fit.

5 0
3 years ago
Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place
Afina-wow [57]

Step-by-step explanation:

the delimiter line is going through the points (-4, 0) and (0, -4).

the line function

y = mx + b

m is the slope of the line, b is the y-intercept (the y value when x = 0).

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to another.

so, for the 2 found points :

x changes by +4 (from -4 to 0)

y changes by -4 (from 0 to -4).

the slope m is then

-4/+4 = -1

and the y-intercept is -4 (as explained).

so, the line is

y = -x - 4

and the graphic says that all values greater than our equal to the line values are valid, so

y >= -x - 4

7 0
2 years ago
Read 2 more answers
Can someone help me with this?
KATRIN_1 [288]

To find the equation of the line in slope-intercept form, y = mx + b, we can start by solving for the slope. The slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line.

The slope formula is:

m = (y2 - y1)/(x2 - x1)

We need to select 2 pairs of points from your given table.

Let (x1, y1) = (1, 8)

(x2, y2) = (2, 10)

Plug these values into the formula:

m = (y2 - y1)/(x2 - x1)

m = (10 — 8)/(2 — 1)

m = 2/1 or 2.

Therefore, the slope of the line is 2.

Next, we need to figure out what the y-intercept of the line is. The y-intercept is the point where the line crosses the y-axis. The y-intercept is also the value of y when x = 0.

Looking at your given table, you have an ordered pair, (0, 6) — this is the y-intercept. The y-coordinate (6) is the value of “b” in the slope-intercept form, y = mx + b.

Now that we have our slope (m) = 2, and y-intercept (b) = 6, we can write our equation as follows:

y = 2x + 6

Please mark my answers as the Brainilest if you find my explanations helpful :)

5 0
3 years ago
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