Step-by-step explanation:
Center: (−7,4)(-7,4)
Radius: 7
w=37
2w+w+69= 180 knowing that all triangles add up to 180 form an equation
3w+69=180 combine like terms and subtract 69 from both sides
3w=111 divide by 3 from both sides
w=37
(not <em>a</em> or not <em>b</em>) implies <em>c</em> <==> not (not <em>a</em> or not <em>b</em>) or <em>c</em>
so negating gives
not [(not <em>a</em> or not <em>b</em>) implies <em>c</em>] <==> not[ not (not <em>a</em> or not <em>b</em>) or <em>c</em>]
which we can simplify somewhat to
not (not (not <em>a</em> or not <em>b</em>)) and not <em>c</em>
(not <em>a</em> or not <em>b</em>) and not <em>c</em>
(not <em>a</em> and not <em>c</em>) or (not <em>b</em> and not <em>c</em>)
not (<em>a</em> or <em>c</em>) or not (<em>b</em> or <em>c</em>)
not ((<em>a</em> or <em>c</em>) and (<em>b</em> or <em>c</em>))
not ((<em>a</em> and <em>b</em>) or <em>c</em>)
Answer:
The measures of the angles are 85 and 95 degrees each.
Step-by-step explanation:
Two angles are supplementary when they add up to 180 degrees.
Therefore, set up an equation and solve for the variable x in the first place.
(8x-3)+(7x+18)=180
8x-3+7x+18=180
8x+7x-3+18=180
15x-3+18=180
15x+15=180
15x=165
x=165/15
x=11
Angle 8x-3=8(11)-3=88-3=85.
Angle 7x+18=7(11)+18=77+18=95.
