Measurement of angle DEF would equal 180 because 71 plus 109 is 180
Answer:
x=14.5
Step-by-step explanation:
2x+5+6x-1=120
Combine like terms (combine all of the variables and then combine all of the constants)
8x+4=120
subtract 4 on both sides
8x=116
Divide 8
x=14.5
Hope this helps!
Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
Y - 10 =(-1/3) ( X - 10 )
Y = ( -1/3) X + ( 40/3)
Step-by-step explanation:
Step 1:
The basic form of Slope Intercept equation is
Step 2:
Points are (10,10) and m=-1/3
Y-10 = (-1/3)(X-10)
Y = ( (-X + 10 )/3) + 10
Y =( - X / 3 ) +( 40 / 3)
