Unlike the previous problem, this one requires application of the Law of Cosines. You want to find angle Q when you know the lengths of all 3 sides of the triangle.
Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A
Applying that here:
40^2 = 32^2 + 64^2 - 2(32)(64)cos Q
Do the math. Solve for cos Q, and then find Q in degrees and Q in radians.
Answer:
267 - 112 - 65 - 33 = $57
Step-by-step explanation:
subtract to get the answer
Answer:
median: 6 ; mean: 13.5
Step-by-step explanation:
The median is where you line up the numbers from least to greatest and add the 2 that are left since it was an even number and you get 6. The mean is where you add all 8 numbers and divide by 8, since that is how many numbers there are.
Answer:
B
Step-by-step explanation:
<DCE = BCA (vertical angles are congruent)
DC corresponds to CB,
DC/CB = 15/5 = 3
EC corresponds to CA,
EC/CA = 12/4 = 3
Thus, two sides in ∆ABC are proportional to two corresponding sides in ∆EDC, and also, the included angle in ∆ABC and ∆EDC are congruent to each other. Therefore, based on the SAS Similarity Theorem, ∆ABC and ∆EDC are similar.
