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3 years ago

In △ABC, m∠B = 90°, m∠C = 15°, M ∈ BC. If m∠BAM = 60°, AM = 10 in. Find: AB URGENT

Mathematics

1 answer:

lara31 [8.8K]3 years ago

7 0

Answer:

Step-by-step explanation:

You end up with a 30°-60°-90° triangle inside of △ABC.

The sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2.

AB is opposite the 30° angle. AM is opposite the 90° angle and has length 10, so AB is half the length of AM.

AB = 5 units.

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sladkih [1.3K]

Answer: x + y = z

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For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

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We have two points through which the line passes:

$(x_ {1}, y_ {1}) :( 5, -1)\\(x_ {2}, y_ {2}) :( 4, -5)$

We found the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5 - (- 1)} {4-5} = \frac {-5+ 1} {- 1} = \frac {-4} {- 1} = 4$

Thus, the equation is of the form:

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We substitute one of the points and find b:

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Finally, the equation is:

$y = 4x-21$

Answer:

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