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:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:
We have the points (5, -5) and (-4, -2).
Substiute:
Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:
<em>add 5/3 to both sides</em>
Finally we have the equation of a line in the slope-intercept form:
Convert to the standard form <em>(Ax + By = C)</em>:
<em>multiply both sides by 3</em>
<em>add x to both sides</em>