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Find the range of possible values for x. Enter your answers as decimals, rounded to the nearest tenth.

Find the range of possible values for x. Enter your answers as decimals, rounded to-example-1
User Monti
by
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1 Answer

4 votes

Answer:

Range of possible value of x:
3.5<x<24

Explanation:

To find the range of possible value of x;

Labelled the diagram as shown below:

In triangle ABC and triangle ADC

AB = AD [Given]

AC =AC {common side]

Also, BC = 4 units and DC = 5 units.


BC < DC as
4 < 5

then;

angle opposite to BC is also less than angle opposite to DC i.e,


2x -7 < 41

Add 7 both sides we get;

2x < 48

Divide 2 both sides we get;

x < 24

Also, angle can't be negative, therefore,


0<2x-7

Add 7 both sides we get;


7 < 2x

Divide by 2 both sides we get;


(7)/(2) < x

or


3.5< x

Therefore, the range of the value of x is,
3.5<x<24

Find the range of possible values for x. Enter your answers as decimals, rounded to-example-1
User Sherita
by
8.5k points

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