The correct angle measures are m/JKL = 37° and mZKLM = 126°. Option A and C
<h3>How to determine the angle</h3>
Given that;
∠ K = (4x + 5)°
∠ J = 6x + 1
∠ L = 8x + 30 = 180 ( angles on a straight line)
Note that the sum of the angles of a triangle is 180°
∠ K + ∠ J + ∠ L = 180
6x + 1 + 4x + 5 + 8x + 30 = 180
collect like terms
18x = 180 - 36
18x = 144
Make 'x' the subject
x = 144/ 18
x = 8
Substitute the values
∠ JKL = (4x + 5)° = 4(8) + 5 = 37°
∠KJ L = (6x + 1)° = (6(8) + 1) = 49°
∠ KLM = 8x + 30 = 8(8) + 30 = 94°
∠ JLK = 8x + 30 = 180 = 180 - 94 = 86°
Thus, the correct angle measures are m/JKL = 37° and mZKLM = 126°. Option A and C
Learn more about a triangle here:
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Answer:
1120 grams
Step-by-step explanation:
The amount of sea water is directly proportional to the amount of salt in the water.
Let the amount of sea water be W and the amount of salt be S.
This means that:
W α S
=> W = kS
where k = constant of proportionality
2 liters of sea water contain 70 grams of salt Therefore:
2 = k * 70
k = 2 / 70 = 1/35
Therefore, for 32 liters of sea water:
32 = 1/35 * S
S = 35 * 32
S = 1120 grams
There are 1120 grams of salt in 32 liters of water.
Answer:
y=-15
Step-by-step explanation:
...
average of 4 numbers is 11 so 11*4 = 44
average of 5 numbers is 12.4 so 12.4*5 = 62
the 5th number = 62-44 = 18
