Answer:
LF = PF given
ΔLFP is isosceles definition of isosceles triangle
∠FLP = ∠FPL isosceles triangle theorem: if two sides of a triangle are
congruent, then angles opposite those sides are
congruent.
LP = PL reflexive property
∠PDL = ∠LKP Perpendicular lines postulate (perpendicular lines form 90
degree angles)
ΔPDL ≅ ΔLKP AAS
LK = PD corresponding parts of congruent triangles are congruent
5
40/8 is 5. You can check this by multiplying 8 and 5 and seeing if it equals 40. Also, if you look at 40/8 as a fraction you can simplify it. 40/8=20/4=10/2=5/1=5
Answer:
a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%
b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%
Step-by-step explanation:
We have to find
a) P(X>40)= 1- P(x=40)
Using the z statistic
Here
x= 40 mph
u= 44mph
σ= 3 mph
z=(40-44)/3=-1.33
From the z-table -1.67 = 0.9082
a) P(X>40)=
Probability exceeding the speed limit = 0.9082 = 90.82%
b) P(50<X<55)
Now
z1 = (50-44)/3 = 2
z2 = (55-44)/3= 3.67
Area for z>3.59 is almost equal to 1
From the z- table we get
P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)
= P(2 < z < 3.67)
= P(z<3.67) - P(z<2)
= 1 - 0.9772
= 0.0228
or 2.28%
Answer:
19. A
20. A
Step-by-step explanation:
19. tan(53)=15/x
x(tan(53))=15
x=15/(tan53))
x=11.3 feet
20. tan(60)=12/x
x(tan(60))=12
x=12/(tan(60))
x=6.93, or 4sqrt3