Help me find answer please very much lost and its a test:(((will give brainiest or w.e it is

Mathematics

1 answer:

user100 [1]3 years ago

3 0

Answer:

x = 8

Step-by-step explanation:

Recall: according to the exterior angle theorem of a triangle, the sum of two interior angles equals the measure of the exterior angle it is opposite to.

m<MNO = (5x + 2)° => exterior angle of ∆LMN

m<NLM = (x + 10)° => interior angle of ∆LMN

m<LMN = (x + 16)° => interior angle of ∆LMN

Therefore:

m<MNO = m<NLM + m<LMN (exterior angle theorem of triangle)

Substitute

5x + 2 = x + 10 + x + 16

Add like terms

5x + 2 = 2x + 26

Collect like terms

5x - 2x = -2 + 26

3x = 24

Divide not sides by 3

x = 24/3

x = 8

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The equation that shows the relationship between Amir's altitude relative to sea level (in meters) and time (in minutes) is y = -12x + 360

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An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent Amir's altitude relative to sea level after x minutes. He was at sea level after 30 minutes, hence:

0 = -12(30) + b

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y = -12x + 360

The equation that shows the relationship between Amir's altitude relative to sea level (in meters) and time (in minutes) is y = -12x + 360

Find out more on equation at: brainly.com/question/2972832

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