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ipn [44]
3 years ago
14

What is the range of values for X?

Mathematics
2 answers:
guajiro [1.7K]3 years ago
4 0

Answer:

6 < x < 30

Step-by-step explanation:

By the Hinge Theorem, we know that 

Angle BAC > Angle DAC

The two triangles that make the diamond have two equal sides. The third side of the upper triangle is longer than the third side if the lower triangle. To fit in the longer side, line AB had to be pushed outwards, forming a larger angle.

When we compare the two angles 48 and (2x-12), we now know that 48 is larger.

48 > 2x-12

48+12 > 2x

60 > 2x

60/2 > x

x < 30

Furthermore, angle DAC can't be negative or zero

2x - 12 > 0

2x > 12

x > 6

Romashka [77]3 years ago
4 0

Answer: 0 to ♾

Step-by-step explanation: x can be any number and has NO limitations

hope this helps

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