If you flip the 30-60-90 triangles so they look similar, and find the difference between the length of 60, and the length of 40.
40÷60 =.6666 etc
You can prove this by plugging in
60 •.66666 = 39.9999 or about 40.
The triangle I started with had a length of 60, so just used the tangent of 60° to find the adjacent.
Since we know the relationship of the triangles,
Multiply your answer, 103.923 •.666666
Which equals 69.2819
69.2819 is the length of the 40 triangle.
Add them together, and you get 173.2049.
Or 173.20 m
The equation to this line is y=2x+3
C = 11.6239mm
Circumference Formula is C = 2πr
R = 1/2 D
R = radius
D = diameter
π = 3.14
C = circumference
1/2 3.7 = 1.85
2 x 3.14 x 1.85 = 11.6239
10) x=<span>2<span>y</span></span>
12) x=<span><span><span>14</span>y</span>−1
hope this helps! :)
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Answer: 115°
Step-by-step explanation:
We should note that the sum of the angles that are in a triangle is equal to 180°, therefore we will add the angles given and equate them to 180°. This will be:
(8x - 5) + (2x) + (3x - 10) = 180
8x - 5 + 2x + 3x - 10 = 180
Collect like terms
8x + 2x + 3x = 180 + 5 + 10
13x = 195
x = 195/13
x = 15
The angles are:
8x - 5 = 8(15) - 5 = 120 - 5 = 115°
2x = 2(15) = 30°
3x - 10 = 3(15) - 10 = 45 - 10 = 35°
Therefore, the largest angle is 115°
