Answer: b. 134
Step-by-step explanation:
Given : A minimum usual value of 135.8 and a maximum usual value of 155.9.
Let x denotes a usual value.
i.e. 135.8< x < 155.9
Therefore , the interval for the usual values is [135.8, 155.9] .
If interval for any usual value is [135.8, 155.9] , then any value should lie in this otherwise we call it unusual.
Let's check all options
a. 137 ,
since 135.8< 137 < 155.9
So , it is usual.
b. 134
since 134<135.8 (Minimum value)
So , it is unusual.
c. 146
since 135.8< 146 < 155.9
So , it is usual.
d. 155
since 135.8< 1155 < 155.9
So , it is usual.
Hence, the correct answer is b. 134 .
Step-by-step explanation:
Given :
Given that lines a and b are parallel, angles 1 and 5 are congruent because they are corresponding angles, and angles 1 and 4 are congruent because they are vertical angles
To find : by which property are angles 4 and 5 congruent
Solution :
We know that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Also, we know that if two things are equal to the same thing then they are equal to each other . In this case, we can say that if two angles are congruent to a third angle, then they are congruent to each other. As angles 4 and 5 are both congruent to angle 1, they are congruent to each other but angles 4 and 5 are alternate interior angles. So, if parallel lines have a transversal, alternate interior angles are congruent.
Answer:
C
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
i) Amount = 15000(1 + 0.10)^2 = 18,150.
Interest = 3,150.
ii) Amount = 15620(1 + 0.08/2)^(3/2*2)
= 15620(1 + 0.04)^3
= 17,570.38.
Interest =1,950.38.
iii) Amount = 100000(1 + 0.04/4)^(3)
= 100000(1 + 0.01)^3
= 103,030.1
Interest = 3030.1.
Circumference=2 x pi x radius
radius= diameter/2= 28/2= 14 ft.
c=2 x 3.14 x 14
c= 87.92 ft. or rounded to 88 feet
