Answer:
Option D
Step-by-step explanation:
Properties of a rhombus,
1). Diagonals of a rhombus bisect the opposite angles.
2). Sum of adjacent two angles of a rhombus is 180°.
By property (1),
Diagonal JL will bisect the angles ∠MJK and ∠KLM.
Therefore, m∠KLM = 2(5x + 3)°
Similarly, diagonal KM will bisect the angles ∠JKL and JML.
Therefore, m∠JKL = 2(9x - 11)°
By property (2),
2(9x - 11)° + 2(5x + 3)° = 180°
9x - 11 + 5x + 3 = 90
14x - 8 = 90
14x = 98
x = 7
Since, m∠KLM = 2(5x + 3)°
= 2(5×7 + 3)°
= 76°
Therefore, Option D will be the answer.
Answer:
30°
Step-by-step explanation:
First we take the full amount of degrees from points A to C, which is given as 125° then subtract 94°, which is the given amount from points A to D, this results in 30°
Answer: Y=-3x+5
Explanation:
Answer:
24 ft by 10 ft
240 ft
Step-by-step explanation:
19.2/4 = 4.8
4.8 · 5 = 24
8/4 = 2
2 · 5 = 10
Answer:
∠1 - 40°
Step-by-step explanation:
∠1 - 40°
b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.
∠2 - 140°
b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.
∠3 - 40°
b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.
∠4 -
b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.
∠5 - 35°
b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.
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I hope that helps you out!!
