Given: △abc, ab=5 square root 2

m∠a=45°, m∠c=30°

find: bc and ac

Part a)

Part b)

Step-by-step explanation:

step 1

Find the length side BC

Applying the law of sines

we know that

we have

substitute

solve for BC

step 2

Find the measure of angle B

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

substitute the given values

step 3

Find the length side AC

Applying the law of sines

we know that

we have

substitute

solve for AC

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.