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riadik2000 [5.3K]
3 years ago
6

EFGD is a parallelogram. Find x.

Mathematics
1 answer:
Ann [662]3 years ago
4 0

Answer:

x = 11

BD = 10

Step-by-step explanation:

Solving for x

The opposite sides if a parallelogram are equal and parallel.

Hence,

2x - 5 = 17

Collecting like terms:

2x = 17 + 5

2x = 22

x = 11

If E is a midpoint, then BE equals to DE

Since BE = 5, then

BD = 2 * BE

BD = 10

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Point A is located at (?5, 2) on a coordinate grid. Point A is translated 1 unit to the left and 5 units down to create point A'
svp [43]
ANSWER

C) 5.1 units

EXPLANATION

The coordinates of A are (5,2).


If this point is translated 1 unit to the left and 5 units down to create point A'.

Then A' has coordinates

A(5,2)\rightarrow \: A'(5-1,2-5)


A(5,2)\rightarrow \: A'(4, - 3)



The distance between A and A' is calculated using the distance formula,

|AA'| =  \sqrt{ {(5 - 4)}^{2}  +  {(2 -  - 3}^{2} }


|AA'| =  \sqrt{ {(1)}^{2}  +  {(5)}^{2} }


|AA'| =  \sqrt{ 26}


|AA'| =  5.099

We round to the nearest tenth to obtain,

|AA'| =5.1 \: units


The measurement that is closed to the distance is 5.1 units

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Answer:

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