Answer:
x=-5
Step-by-step explanation:
Add 22x to both sides: -8x+100=140
Subtract 100 from both sides: -8x=40
Divide both sides by -8: x=-5
So the answer is x=-5
The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
The answer to your question is 20/9
Answer:
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Step-by-step explanation:
If you graph x=-1, you will get a line with x-intercept -1 and no y-intercept. If you do not have either of these things, your line does not have a constant slope.
Answer:
The correct option is;
C) AA Similarity Postulate
Step-by-step explanation:
The given parameters are;
BE║CD Given
∠A is congruent to ∠A Reflective property
∠ACD is congruent to ∠ABE Corresponding angles formed by parallel lines and a transversal
∠ADC is congruent to ∠AEB Corresponding angles formed by parallel lines and a transversal
ΔABE ~ ΔACD AA Similarity Postulate
When two angles of one triangle are equal to the corresponding two angles of another triangle, given that the third angle of both triangles are also equivalent based on sum of angles of a triangle postulate, the two triangles are said to be similar based on Angle-Angle (AA) Similarity Postulate.
