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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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Step-by-step explanation:

47000 trees divided by 235 acres gets you 200 trees per acre.

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Cant get this question! Need some help. Answers are, A: 13 miles, B: 14 miles, C: 16 miles, D: 17 miles.
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3 years ago
Read 2 more answers
There are 5 cocoa pods in a bag.
Virty [35]

Answer:

416 g

Step-by-step explanation:

The mean is calculated as

mean = \frac{sum}{count} , then

\frac{sum}{5} = 398 ( multiply both sides by 5 )

sum of 5 pods = 1990 g

let x be the weight of the sixth pod , then

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6 0
2 years ago
Help pls dont give just the answer pls step by step so i can understand
Irina-Kira [14]

Answer:

y=14

Step-by-step explanation:

Since this is an isosceles triangle due to opposite sides being congruent, the base angles would also be congruent.

50 = 2x \\x=25

plug in 25 in 2x and you would get 50°

Since the sum of a triangle is 180° you could set up an equation 50+50+5y+10=180

Then, add 50+50=100+10=110

then you would then have 5y+110=180\\

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Check:

5(14)+10+50+50= 180

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