80=-8a
We are trying to solve for a. So we need to get a alone. To do that we have to divide each side by -8.
80/-8= -8a/-8
Once you have solved each side you will get the following.
-10=a
Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive
We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]
We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)
From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
the distance between (8,0) and (1,0) is 7 units
Answer:
Alternate exterior angles : ∠g = ∠b , ∠h = ∠a (opposite sides and on outer side)
Alternate interior angles : ∠c = ∠f , ∠e = ∠d (opposite sides and on inner side)
Consecutive interior angles : ∠c = ∠e , ∠d = ∠f (same sides and on same line)
Corresponding angles : ∠e = ∠a, ∠f = ∠b, ∠g = ∠c, ∠h = ∠d (same sides on the line)
Linear pairs : ∠c and ∠e, ∠d = ∠f, (they add to 180)
Vertical angles : ∠c =∠b, ∠d = ∠a, ∠g=∠f, ∠e = ∠h (vertical angles)
Answer:
Option B, Area of pentagon = 58.5 Square feet
Step-by-step explanation:
The remaining part of the question is attached as image
Solution
Area of pentagon has a triangle and a trapezoid
Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5 square feet
Area of trapezoid = Area of rectangle – 2* area of smaller triangles
= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2
= 54 – (1*6*1.5)
Area of pentagon = 13.5 + 45 = 58.5 Square feet
Hence, option B is correct
