11) ∠Q+∠R+∠S=180°
let ∠Q=∠S=x
x+58+x=180
2x=122
x=61
since∠Q=∠S=x
∴∠Q=∠S=61°
12) M+N+P=180
x+2x-1+2x+1=180
5x=180
x=36
∴m=36
n=2x-1
=72-1
=71
p=2x+1
=72+1
=73
13) her answer is not reasonable because they are angles on a straight line and sum of angles on a straight line =180 and 86+86≠ 180.
Hope this was helpful.
#1 is correct!
#2 is D - ASA
Hope this helps!! :)
Answer:
10(7-4p)
Step-by-step explanation:
9514 1404 393
Answer:
c = √(42² +35² -2·42·35·cos(120°))
Step-by-step explanation:
The third side can be found using the Law of Cosines. It will tell you ...
c² = a² +b² -2ab·cos(C)
where C is the angle opposite the third side (c). For the given side lengths, then the third side can be found from ...
c = √(42² +35² -2·42·35·cos(120°))
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<em>Additional comment</em>
You have not provided answer choices to this "which ..." problem. So the above equation may be different from any on your list. We expect your answer choices may leave the equation in the form <em>c² = ...</em>.
All of Bruce's "likes" are squares: 324 = 18², 2500 = 50², 121 = 11²
Bruce only likes numbers that are perfect squares.