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belka [17]
2 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]2 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]2 years ago
7 0

Answer:

31

Step-by-step explanation:

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tigry1 [53]

Answer:

Height of a cell tower is, 30 m

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

As per the given statement:

Let height of a cell tower be h.

Height of a pole = 3m ,

Shadow of a pole = 4 m and

shadow of a cell tower = 36+4 = 40 m

By definition of proportion;

\frac{\text{Height of a cell tower}}{\text{Shadow of a cell tower}} = \frac{\text{Height of a pole}}{\text{Shadow of a pole}}

Substitute the given values we get;

\frac{h}{40}=\frac{3}{4}

by cross multiply we get;

4h = 120

Divide both sides by 4 we get;

h = 30 m

Therefore, the height of a cell tower is, 30 m



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2 years ago
Write an equation in slope-intercept form for the line that satisfies the following condition.
skelet666 [1.2K]

Answer:

The equation of the line we want to write is 4y = -x + 22

Step-by-step explanation:

Here, we want to write the equation of a line

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The standard equation of a straight line is given as:

y = mx + c

where m is the slope and c represents the y-intercept

Now, let’s look at the line y = 4x + 16

The slope of this line is 4

Now, the equation of the line we want to write is perpendicular to this line

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Hence;

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3 years ago
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Eva8 [605]

Answer: z=4

Step-by-step explanation:

Subtract 6 on both sides and 10-6=4 and then plug 4 into z and the equation is true

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3 years ago
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