Answer:
45 and 135
Step-by-step explanation:
If angles, with measurements a and b, are supplementary, then a and b have sum 180 degrees.
So we have the following equation so far:
a+b=180
Now we also have that one angle has a measurement that is 1/3 the value of the one.
So we also have 3a=b which means we are letting the angle whose measurement be a have 1/3 the value of b.
So lets plug the second equation into first giving us:
a+3a=180
Add like terms:
4a=180
Divide both sides by 4:
a=180/4
a=45
So b=3a=3(45)=135.
So the angles in question have measurement s 45 and 135.
9514 1404 393
Answer:
-4u^2/y+(5/2)y^3u^2
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
__
Answer:
66.9 degrees
Step-by-step explanation:
The Law of Sines states that a/sinA = c/sinC. Plugging in the values for c, a, and M < A, we get:
71/sin40 = 102/sinC
Cross multiplying, we get:
102(sin40deg) = 71(sinC)
Now, we simplify the left side and get:
65.56 = 71(sinC)
Next, we divide 65.56 by 71 to get:
0.92 = sinC
Taking the inverse sign we get:
C = 66.9 degrees
Like when adding/subtracting fractions at any other time, you need a common denominator, in this case (x-1)(x+1)=x^2-1 so:
(2(x+1)+3(x-1))/(x^2-1)=4 multiply both sides by (x^2-1)
2x+2+3x-3=4x^2-4 combine like terms on left
5x-1=4x^2-4 subtract (5x-1) from both sides
4x^2-5x-3=0 using the quadratic formula for expediency
x=(5±√73)/8
x≈-0.443 and 1.693
Answer:
4 maybe
Step-by-step explanation:
