Answer:
11/16 inch or 0.6875 inch
Step-by-step explanation:
26 * x = 17 7/8
17 7/8 = 143/8
143/8 ÷ 26 = 143/8 x 1/26 = 143/208 = 0.6875
0.6875 in = 11/16 in
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Check
11/16 x 26 = 17.875 or 17 7/8
The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle.
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Divide f(x) by x + 15
this comes to 2x^2 - 6 which represents the length
Answer:
Step-by-step explanation:
Remark
This is a cosine law problem.
a = 12
b = 15
C = 83
Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.
Formula
c^2 = a^2 + b^2 - 2ab*cos(C)
Solution
c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)
c^2 = 144 + 225 - 360 * cos(83)
cos(83) = 0.1219
c^2 = 144 + 225 - 360 * 0.1219
c^2 = 369 - 43.884
c^2 = 325.116
sqrt(c^2) = sqrt(325.116)
c = 18.031
To the nearest tenth, the answer is 18.0 and you must include the 0.
