4 years ago

What is the Calculate

Mathematics

2 answers:

lozanna [386]4 years ago

8 0

The answer Mon equals 15

Sedbober [7]4 years ago

4 0

Answer:

From the given figure, we can see that

∠LON = ∠LOM + ∠MON

replacing the variables with the given values

77 = 9x + 44 + 6x + 3

77 = 15x + 47

15x = 30

x = 2

Finding ∠MON:

we are given that ∠MON = 6x +3

now that we know the values of x,

∠MON = 6(2) + 3

∠MON = 12 + 3

∠MON = 15°

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The length of the base of a triangle is twice it’s height. If the area of the triangle is 441 square kilometers, find the height

Sonja [21]

Answer:

21 kilometers

Step-by-step explanation:

Let the height be $x$ . Then, the length of the base is $2x$ . The formula for the area is of the triangle is given by base*height/2. Therefore, the area of the triangle is equal to $\frac{x \cdot 2x}{2} = x^2$ , which is in turn equal to 441. Since $x$ must be positive, then $21^2=441$ , meaning that the height is $21$ kilometers.