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KatRina [158]
2 years ago
11

In ΔLMN, n = 510 cm, l = 820 cm and ∠M=20°. Find ∠L, to the nearest degree

Mathematics
1 answer:
Dafna11 [192]2 years ago
8 0

The angular measure L is : 47°

<h3>What are angles?</h3>

Angles are formed when two lines meet.

Analysis:

Firstly, we calculate for m using cosine rule.

m^{2} = 510^{2} + 820^{2} -2(510)(820) cos 20

m^{2} = 260100 + 672400 -83600(0.9396)

m^{2} = 146618.56

m = \sqrt{146618.56} = 382.9cm

using sine rule to find ∠L

382.9/sin20 = 820/sinL

sinL = 820sin20/382.9

sinL = 820(0.342)/382.9

sinL = 0.732

L = sin inverse of 0.732 = 47°

In conclusion, ∠L is 47°

Learn more about sine and cosine rule: brainly.com/question/4372174

#SPJ1

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Which is an equation in slope intercept form of the line that passes through (1, 3) and (2, 4)?​
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Answer:

y = x + 2

Step-by-step explanation:

The slope-intercept equation is:

y = mx + b

First, you should use the point-slope formula to find the slope. Plug in the "x" and "y" values given from the points:

Point 1: (1,3)        Point 2: (2,4)

y₁ - y₂ = m(x₁ - x₂)               <--- Point-slope formula

(3 - 4) = m(1 - 2)                  <--- Plug in "x" and "y" values from points

-1 = -m                                <--- Simplify inside parentheses

1 = m                                  <--- Divide both sides by -1

Finally, use one of the points to solve for the y-intercept (b):

Point 1: (1,3)           m = 1

y = mx + b                       <--- Slope-intercept formula

3 = 1(1) + b                       <--- Plug in values from point and slope (m)

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2 = b                               <--- Subtract 1 from both sides

Since the slope = 1, it does not need to be included in the final formula. The final answer is:

y = x + 2

7 0
1 year ago
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