Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersec
tion of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b? B = 32 b = 52 b = 118 b = 128
2 answers:
Answer: Last option.
Step-by-step explanation:
Observe the figure attached.
In order to find the value of "b", you need to remember the definition of "Alternate interior angles". These are the pairs of angles located in the interior of the parallel lines and on opposite side of the transversal. They are congruent.
Based on this definition, you can conclude that the angle "b" and the angle that measures 128° are Alternate interior angles; therefore they are congruent.
This means that the value of "b" is:
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Answer: The change represents growth with 89% of growth rate.
Step-by-step explanation:
The exponential function is given by :-
... (i)
Where , A = initial value , b= multiplicative factor and x= time period
- We call 'b' growth factor when b>1, we can write b= 1+r , where r is the rate of growth.
- We call 'b' decay factor when b<1 , we can write b= 1-r , where r is the rate of decay.
The given function : .
By comparing this to (i) , we get
b= 1.89 > 1 , thus it represent the growth.
Also,
i.e. Percentage rate of growth = 0.89 x 100 = 89%.
Answer:
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ANSWER
The radius is 25 inches
EXPLANATION
From the diagram, the radius of the circle is AC.
From the Pythagoras Theorem,
Simplify
Take positive square root,
Hence the radius is 25 inches
