For a better understanding of the solution given here please go through the diagram in the file attached.
To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."
Thus, in our question, we will have:
The above equation can be rearranged as:
...(Equation 1)
If we have a proper look at the denominator which is 
, we note that in 
, 
Thus, (Equation 1) wil give us:
<u>Therefore, LB= 12 feet</u>
Answer: A) 1/2
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
If the third term is 20, it means that
T3 = 20 = ar^(3 - 1)
20 = ar²- - - - - - - - - - 1
If the third term is 20, it means that
T5 = 5 = ar^(5 - 1)
5 = ar⁴- - - - - - - - - - 2
Dividing equation 2 by equation 1, it becomes
5/20 = r⁴/r²
1/4 = r^(4 - 2)
(1/2)² = r²
r = 1/2
Answer:
i. 6
ii. 
iii. 7
Step-by-step explanation:
First organize the data from least to greatest. 3,3,4,5,6,7,7,7,8
To find the median, remove the extremes from the data over and over.
3,4,5,6,7,7,7
4,5,6,7,7
5,6,7
6
To find the mean, add all of the numbers and divide by 9
3+3+4+5+6+7+7+7+8=50
50/9=
To find the modal mark, simply find the number present most in the data set: 7(occurs 3 times)
Hope it helps <3
Step-by-step explanation:
The angles on the same side of the parallel lines and the transversal are called corresponding angles.
Corresponding angles are congruent
So 11x+1 = 10x+10
x = 10-1 = 9
11*9+1 = 100
So both are 100 degrees
Answer:
5/4
Step-by-step explanation:
5/6+5/12
or, {(5×2)+5}/12
or, 15/12 = 5/4
