Quadrilateral J K L M is shown. A diagonal is drawn from point J to point L. Sides K L and J M are parallel. Sides J K and L M are congruent. The length of J L is 18, the length of J K is 16, and the length of J M is 40. Angle M is 45 degrees. If KM is drawn on this quadrilateral, what will be its length?

KM is 52.55

Step-by-step explanation:

Given that JKLM is a quadrilateral with a diagonal drawn from J to L, we have;

Sides KL is parallel to side JM

Side JK is congruent to side LM

Therefore, sides JK and LM are parallel being the equal distances between two parallel lines

JL = 18, JK = 16, therefore, LM = 16, JM = 40 therefore, KL = 40 (equal distances between parallel lines JK and LM)

∠M = 45° ∴ ∠L = 180° - 45° = 135° (sum of adjacent interior angles of a parallelogram)

By cosine rule, we have;

KM² = LM² + KL² - 2×KL×LM×cos(∠M) = 16² + 40² - 2×16×40×cos(135°)

KM² = 2761.0967

KM = √(2761.0967) = 52.55 units.

ian gone lie this got me confused

step-by-step explanation:

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00