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Len [333]
3 years ago
9

Some help please Thank you

Mathematics
1 answer:
spin [16.1K]3 years ago
8 0

Answer:

Step-by-step explanation:

Using pythagoras theorem

AB²+BD²=AD²

5²+BD²=10²

25+BD²=100

BD²=100-25

BD²=75

BD=√75

BD=8.66

For triangle BDC,

Using pythagoras theorem

x²=DC²+BD²

x²=4²+75

x²= 16+75

x²=91

x=9.54

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Multiply both sides of the equation by 12. Move the variables to the left-hand side and change its sign. Move the constant to the left-hand side and change its sign. Collect like terms. Add the numbers. Divide both sides of the equation by 12.

1/2 x - 5= - 1/2 x + 19/4
6x -20= - 6x + 57
6x + 6x= 57 + 20
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12x= 77
ANSWER
x = 77/12
Alternative Form .
x = 6 5/12, x= 6.416
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