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°
53-x+18
Gail’s age would be x (or any variable of our choice).
D i got it right on edmentum
Answer:
x = 18.8
Step-by-step explanation:
(6x + 19) is in linear pair vertically so,
it's value will be 180 - 6x + 19. ......( angles in linear pair are supplementary)
now, 180 - 6x + 19 is corresponding with (4x + 11)
therefore, 4x + 11 = 180 - 6x + 19
4x + 6x = 180 + 19 - 11
10 x. = 180 + 8
10 x. = 188
x = 188/10
x. = 18.8
Cross - check:-
4x + 11 = 180 - 6x + 19
4 * 18.8 + 11 = 180 - ( 6 * 18.8 +19)
86.2. = 86.2
therefore, x = 18.8 is the correct answer
Answer:
C.) -1/2
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes.
- Opposite = opposite signs (+ & -)
- Reciprocal = flipped positions in fractions (1/2 ⇒ 2/1)
Therefore, the slope of a line perpendicular to the line y = 2x - 3 must be -1/2.