What is 2x+2x+2= 4x+2
2 answers:
You might be interested in
Answer:
The measure of one angle is , and the measure of the other one is
Step-by-step explanation:
Recall that supplementary angles are those whose addition renders
We need to find the measure of two such angles whose difference is precisely .
Let's call such angles x and y, and consider that angle x is larger than angle y, so we can setup the following system of equations:
We can now solve this by simply combining term by term both equations, thus cancelling the term in "y", and solving first for "x":
So, now we have the answer for one of the angles (x), and can use either equation from the system to find the measure of angle "y":
Answer:
7.7 km
Explanation:
Use cosine rule as here given two sides and one angle.
Cosine rule states:
a² = b² + c² - 2bc cos(A)
While solving, treat a = 7.5 km as to that opposite angle is given of 68°
then b = missing side, c = 5.2 km, A = 68°
Applying rule:
7.5² = b² + 5.2² - 2(b)(5.2) cos(68)
56.25 = b² + 27.04 - 3.8959b
56.25 - 27.04 = b² - 3.8959b
b² - 3.8959b = 29.21
b² - 3.8959b - 29.21 = 0
apply quadratic equation, Here [a = 1, b = - 3.8959, c = -29.21]
As length cannot be negative. Hence the value of b is only 7.7 km