The sum of the measures of the angles is 180 degrees.
75 + -5w + 125 + 4w + 85 = 180
Combine like terms.
285 - w = 180
Subtract 285 from both sides.
-w = -105
Divide both sides by -1.
w = 105
Step-by-step explanation: In order to decide whether the given fractions are equivalent, first write each fraction in lowest terms. Remember, a fraction is written in lowest terms if the greatest common factor of the numerator and the denominator is 1.
For our first fraction which is 3/4, the greatest common factor of 3 and 4 is 1, the fraction is already in lowest terms.
For our second fraction however, since the greatest common factor of 6 and 8 is 2, we must divide both the numerator and denominator by 2 which gives us 3/4.
3/4 = 3/4 which means these fractions are equivalent.
3/4 and 6/8 are equivalent because if you reduce 6/8 in lowest terms, you end up with the fraction 3/4.
Answer: 18 CM
Step-by-step explanation:
Since there are 4 sides to a rectangle, and 2 of them are lengths, we can multiply 24 by 2, which results in 48, and subtract it from the overall perimeter, which results in 36. Since the width is 2 sides, we can divide 36 by 2, which results in 18.
PEMDAS
the first thing is multiply or distribute
a(b+c)=ab+ac
8(t+2)=8t+16
-3(t-4)=-3t+12
6(t-7)=6t-42
the equation comes out to
8t+16-3t+12=6t-42+8
add like terms
5t+28=6t-34
subtract 5t from both sides
28=t-34
add 34 to both sides
62=t
