Find the range of possible values of n.
1 answer:
Answer:
B. 6 < n < 25
Step-by-step explanation:
We are given the triangles WXY and WZY with sides XY and ZY congruent and equal to 8.
As the sides WX = 11 > WZ = 9.
Then, the angles opposite to WX will be greater than the angle opposite to WZ.
i.e. ∠WYX > ∠WYZ
i.e. (7n+5)° > 47°
i.e. 7n° > 42°
i.e. n > °
i.e. n > 6°
Since in ΔWXY, the sum of all three angles is 180°.
This means that (7n+5)° < 180°
i.e. 7n < 175°
i.e. n < °
i.e. n < 25°
Hence, we get that the range of n is 6 < n < 25.
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Answer:
Step-by-step explanation:
From C-A, it goes from y=1 to y=5, so that 4 units
From A-B, it goes from x = -1 to x = 4, that is 5 units
Now, to find distance from B to C, we need to use the distance formula:
Where the variables are the respective points of B and C,
B (4,5) & C(-1,1)
So x_1 =4, y_1=5, x_2=-1, y_2=1
Plugging into the formula we get:
Summing it all (perimeter is sum of 3 sides):
Distance =
3rd answer choice is right.