The question is incomplete. Here is the complete question.
m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.
If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.
A. 1
B. 154
C. 77
D. 26
Answer: B. m∠K = 154
Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.
Related to internal angles, angles of the base are equal and opposite angles are supplementary.
In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:
18x + 8 = 11x + 15
7x = 7
x = 1
Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:
m∠J = 18(1) + 8
m∠J = 26
m∠K + m∠J = 180
m∠K + 26 = 180
m∠K = 154
The angle m∠K is 154°
3x² (6x² - 13x - 5) =
3x² (2x - 5) (2x+1) .
Answer: 22 1/2
Step-by-step explanation: first convert 4 1/2 into a mixed # = 9/2
The divide that by 5 (mult by reciprocal)
Reciprocal is the # flipped so,
9/2 x 1/5
= 45/2
divide 45 by 2
C = 3b+2d is the same as 3b+2d = C
Let's isolate d. To do this, we first need to subtract 3b from both sides
3b+2d = C
3b+2d-3b = C-3b
2d = C-3b
Then divide both sides by 2
2d = C-3b
2d/2 = (C-3b)/2
d = (C-3b)/2
Take note of the parenthesis as they are very important. We want to divide ALL of C-3b over 2. We don't want to just divide -3b over 2.
The answer choices you have aren't 100% clear but I have a feeling your teacher meant to say d = (C-3b)/2 instead of d = C-3b/2 for choice A
If that assumption is correct, then the answer is choice A.
Difference between the lengths of walking stick and lengths of bumble bee is 
inch.
Solution:
Given data represents the length of the insects.
Length of the walking stick = 4 in
Length of the bumble bee = 
in
Difference between their length
To make the denominator same, multiply and divide the first term by 8.
Now, change improper fraction into mixed fraction, we get
Difference between the lengths of walking stick and lengths of bumble bee is inch.
