B= c= Please help asap
1 answer:
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Answer:
BD = 35
Step-by-step explanation:
Calculate CD in right triangle ABC, then BD in right triangle BCD
Using Pythagoras' identity in both triangles.
The square on the hypotenuse is equal to the sum of the squares on the other two sides.
In Δ ADC
CD² + AD² = AC² , substitute values
CD² + 9² = 15²
CD² + 81 = 225 ( subtract 81 from both sides )
CD = 144 ( take the square root of both sides )
CD = = 12
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In Δ BCD
BD² + CD² = BC² , substitute values
BD² + 12² = 37²
BD² + 144 = 1369 ( subtract 144 from both sides )
BD² = 1225 ( take the square root of both sides )
BD = = 35
Answer:
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
<em>Verify each case</em>
Part 1) we have
solve for x
Part 2) we have
Multiply both sides by -1 and rearrange the terms on the left side to get
This expression is the same that the expression in Part 1)
That means, that the equations Part 1) and Part 2) are equivalent
therefore
Part 3) we have
Remember that
This expression is the same that the expression in Part 1)
That means, that the equations Part 1) and Part 3) are equivalent
therefore
Part 4) we have
This equation is not equivalent to the other three, because some terms are multiplied by -8/7 and others are not. When different things are done on either side of the equal sign, it changes the equation, resulting in a different solution
