Standard formula for arithmetic sequence:
an = a0 + d(n-1)
if we use the two terms given, setting a12 as starting term and a45 as the end term an.
170 = 38 + 33d
170 - 38 = 33d
132 = 33d
132/33 = d
This is the common difference, use it to find the first term.
38 = a0 + (132/33)(12-1)
38 = a0 + (132/33)(11)
38 = a0 + 132/3
38 - 132/3 = a0
38 - 44 = a0
-6 = a0
The starting term is -6
Answer:
When we have a rotation about a given point, the distance between the rotated point and the axis of rotation will remain constant, the only thing that changes is the coordinates of the point.
This tell us that the main measures of any rotated shape will not change.
Then the side lengths will remain constant, this implies that the area also remains constant, and this also means that the angle measures should remain the same.
And because the perimeter is equal to the sum of all the side lengths, the perimeter also remains the same.
The only thing that changes will be the coordinates of our polygon.
Answer:
x = 8
Step-by-step explanation:
40 + 6x + 2 = 90 {Complementary angles}
Combine like terms
40+ 2 + 6x = 90
42 +6x = 90 {Subtract 42 form both sides}
6x = 90 - 42
6x = 48 {divide both sides by 6}
6x/6 = 48/6
x = 8
Answer:
A quadrilateral has 4 right angles
Step-by-step explanation:
In a conditional statement
If hypothesis, then conclusion
OR
Conclusion, if hypothesis.
The hypothesis goes with the if part.
Answer:
x = 5
Step-by-step explanation:
From the picture attached,
If the lines u and v are parallel and a third line (transversal) is intersecting these lines at two distinct points,
Both the angles given in the picture, will be equal in measure as these angles are interior alternate angles.
16x = 15x + 5
16x - 15x = 5
x = 5
Therefore, x = 5 makes the lines v and u parallel.
