Answer:
acute scalene
Step-by-step explanation:
acute because all angles below 90 degrees, scalene because no sides are the same length
Answer:
{2, 6}
Step-by-step explanation:
w/2w-3=4/w is ambiguous. Did you mean
w 4
---------- = ------ ? If so, please enclose "2w - 3" inside parentheses.
2w - 3 w
Cross multiplying, we get w² = 8w - 12.
Putting this into standard form, we get:
w² - 8w + 12 = 0, which factors into (w - 2)(w - 6) = 0.
The solutions are found by setting each factor = 0 separately and solving the resulting equations for w: {2, 6}.
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
