Answer:The measure of angle RST is 120\°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m<RST=(6x+12)\° -----> equation A
m<RST=78\°+(3x-12)\° -----> equation B
equate equation A and equation B
(6x+12)\°=78\°+(3x-12)\°
Answer:
True, see proof below.
Step-by-step explanation:
Remember two theorems about continuity:
- If f is differentiable at the point p, then f is continuous at p. This also applies to intervals instead of points.
- (Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.
If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.
<span>3054.054054 is the answer
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