Step-by-step explanation:
The NBA fined Brooklyn Nets coach Jason Kidd $50,000 for his spilled-drink shenanigans that took place in the fourth quarter of Wednesday's 99-94 loss to the Los Angeles Lakers, the league announced Thursday
Sin x = 0.5
sin x = 1/2
sin x = opp/hyp
therefore the ratio of opp/hyp = 1/2, (opp = 1, hyp = 2)
Find the opp side
1² + x² = 2²
1 + x² = 4
x² = 4 -1
x² = 3
x =√3
The opp side is √3
cos x = opp/hyp = √3/2 = 0.87 (round to the nearest hundredths)
I believe it is B, however this question is kind of a trap.
The way you wrote it could have 2 meanings:
Sum of twice a and 4 could be:
2a+4 or 2(a+4) which will give different results.
In the first case:
2a+4
a= 4/2
a= 2
So the sum would be 2*2+4 = 4+4 = 8
In the second case:
2(a+4) = 2a + 2*4 = 2a + 8
a= 8/2
a=4
2(4+4) = 2*8 = 16
Answer: Alycia only established some of the necessary conditions for a congruence criterion.
Step-by-step explanation: Two triangles are <u>congruent</u> if their corresponding sides or/and corresponding angles are the same.
There are 5 ways to find out if the triangles are congruent.
The one Alycia used seems to be the one called <u>Side-Angle-Side</u>, which states that if two sides and its included angle is equal to the corresponding sides and angle of the other triangle, they are congruent.
For triangles ΔOPQ and ΔSTR to be congruent, using that theorem:
1) ∠O = ∠S
2) OP = TS
And
3) RS = OQ
So, Alycia's error is that she didn't prove RS = OQ, which would definitively conclude that both triangles are congruent.