Answer:
x = 6, ∠B = 50°
Step-by-step explanation:
a) 8x + 2 + 70 + 60 = 180
8x + 132 = 180
8x = 180 - 132 = 48
x = 48/8 = 6
b) ∠B = 180 - 70 - 60 = 50°
or 8x + 2 = 8*6 + 2 = 50°
Answer:
sqrt(149) or about 12.21
Step-by-step explanation:
Think of the islands as coordinates on a graph. If the harbor is the origin, the first island would be (-7,2) while the second island would be (3,-5). To find the distance you have to use the Pythagorean theorem, so 10^2+7^2=d^2. This shows you that the distance has to be the square root of 149, or around 12.21 (rounding to the nearest hundredth).
Answer:
Step-by-step explanation:
Given the following expression:
Find the Greatest Common Factor (GCF) of the numerator. The steps to do this are:
1. You need to descompose into prime factors:
2. Now you must choose the common ones with the lowest exponents and multiply them. In this case the common one is 2 and its lowest exponent is 1, then:
Knowing this, you can factor out the Greatest Common Factor (GCF) in the numerator:
Finally, simplifying, you get: