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Answer:
1.75
Step-by-step explanation:
1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :
i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.
ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:
a^{2}=b ^{2}+c ^{2}-2bc(cosA)
2.
20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA) 400=81+169-234(cosA) 150=-234(cosA) cosA=150/-234= -0.641
3. m(A) = Arccos(-0.641)≈130°,
4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
Answer:
x = 1/4
Step-by-step explanation:
-7x - (-5-x) = -9(2x-1) -1
-7x + 5 + x = -18x + 9 - 1
combine like terms:
-6x + 5 = -18x + 8
add 18x to each side of the equation:
12x + 5 = 8
subtract 5 from each side:
12x = 3
divide both sides by 12:
x = 3/12 = 1/4
