Angles LNM and MNI are supplementary, so their measures sum to 180°. This means
∡ LNM + ∡ MNI = 180°
∡ LNM = 180° - (19<em>x</em> + 2)°
The sum of the interior angles of any triangle is also 180°, so
∡ LNM + ∡ NML + ∡ MLN = 180°
(180° - (19<em>x</em> + 2))° + (15<em>x</em> - 2)° + (6<em>x</em>)° = 180°
Solve for <em>x</em> (I'll omit the degree symbol):
180 - 19<em>x</em> - 2 + 15<em>x</em> - 2 + 6<em>x</em> = 180
2<em>x</em> - 4 = 0
2<em>x</em> = 4
<em>x</em> = 2
Then ∡ MNI = (15•2 - 12)° = (30 - 12)° = 18°.
Step-by-step explanation:
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Answer:
distance = 50 - (-150) = 50+150 = 200
Therefore, the distance between -150 and 50 is 200 units.
Please check the attached diagram below.
Step-by-step explanation:
Given the numbers
The number 50 is plotted 50 units to the right from position 0 on the number line, which is shown on the number line on the attached diagram below.
The number -150 is plotted 150 units to the left from position 0 on the number line, which is shown on the number line on the attached diagram below.
The distance between 50 and -150 can be calculated by subtracting -150 from 50.
i.e.
distance = 50 - (-150) = 50+150 = 200
Therefore, the distance between -150 and 50 is 200 units.
Please check the attached diagram below.
You should. if you get two numbers in the middle, you have to add them and divide by two.