These two lines create vertical angles, which are congruent. That means angle z = 60 degrees. Since angle z and the angle represented by the expression 6x + 60 are supplementary (they are adjacent angles that add to equal 180 degrees), you can set up the following equation to find x:
6x + 60 + 60 = 180
6x + 120 = 180
6x = 60
x = 10
Answers:
x = 10
z = 60
Answer:
m∠1 = 50°
m∠2 = 130°
Explanation:
m∠2 = 130° because of alternate exterior angles.
m∠1 = 50° because it is supplementary to m∠2. So, 180 - 130 = 50.
Answer:
$15
Step-by-step explanation:
use a calculator and type 25%x12 and you will get 3
so 3 is 25% of 12
add 12 and 3 together to get your answer. $15
Answer:
z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2
Step-by-step explanation:
To complete the square, the last term has to be 1. So adding 10 to both sides, we get:
4z^2+4z+1 = 10
Since 4z^2+4z+1=(2z+1)^2,
(2z+1)^2 = 10.
Taking the square root of both sides, we get
2z+1=sqrt(10) or 2z+1=-sqrt(10)
So z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2
