Answer:
m = 40
Step-by-step explanation:
The triangle inside the circle has 2 equal sides ( the radii ) of the circle, thus
The base angles are congruent both 50°
The 3 angles on the tangent sum to 180°, so
m + 50 + 90 = 180
m + 140 = 180 ( subtract 140 from both sides )
m = 40
We know that
Right triangles PBM and MTF are similar
because
angle PMB=angle TMF
and
angle BPM=angle FTM
and
angle B =angle F=90 degrees
so
corresponding sides are
BM and MF
PB and TF
PM and MT
(PB/TF)=BM/MF
solve for PB
PB=(TF*BM)/MF
where
TF=6ft
BM=20 ft
MF=3 ft
so
PB=(6*20)/3------> 40 ft
the answer is
<span>the height of the peak is 40 ft</span>
Answer: 4/6
Step by step explanation:
Answer: y=mx+b, m=(y2-y1)/(x2-x1), b=y-intercept, value of y when x=0
m=(-8-10)/(-2-1)
m=-18/-3
m=6
y=6x+b, using (1, 10) we can solve for b
10=6(1)+b
10=6+b
4=b so the line is:
y=6x+4
Step-by-step explanation:
