Select the correct answer from each drop-down menu.
2 answers:
Answer:
X = 95 degrees
Y = 147 degrees
Z = 128 degrees
Step-by-step explanation:
Angle z can be found as : = 128 degrees. This is because the sum of the internal angle and the external angle on the same vertex is 180°
The opposite of angle X can be found as = 85 degrees.
Now angle X lies on the same line. We can say X is exterior angles to the opposite interior angle of bigger triangle.
Angle X = = 95 degrees
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Angle Y = = 147 degrees.
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Answer:
= - 7n - 1
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 15 - (- 8) = - 22 - (- 15) = - 29 - (- 22) = - 36 - (- 29) = - 7
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 8 and d = - 7 , then
= - 8 - 7(n - 1) = - 8 - 7n + 7 = - 7n - 1