Answer:
Option (4)
Step-by-step explanation:
Vertices of the triangle are X(0, -4), Y(2, -3) and Z(2, -6).
Slope of XY (
) = 
= 
() = 
Similarly, slope of XZ (
) = 
() = (-1)
Which should be (-1) if XY and XZ are perpendicular to each other.
Now we can say that XY and XZ are not perpendicular.
Therefore, Lydia's assertion that ΔXYZ is a right triangle is not correct.
Option (4) will be the answer.
The sequence above is geometric progression.
The nth term of such sequence is given by;
Tn = ar∧(n-1),
Where a⇒first term and
r⇒common ratio
So, 1st term = 5×1.25∧(1-1) = 5×1.25∧0 =5
2nd term = 5×1.25∧(2-1) = 5×1.25 = 6.25
3rd term = 5×1.25∧(3-1) = 5×1.25² = 7.8125
4th term = 5×1.25∧(4-1) =5×1.25³ = 9.765625
5th term = 5×1.25∧(5-1) = 5×1.25∧4 = 12.20703125
6th term = 5×1.25∧(6-1) = 5×1.25∧5 = 15.25878909
<u>Answer:</u>
Option D
<u>Step-by-step explanation:</u>
In this table, the constant of proportionality, which is just the number that each <em>x</em> value is multiplied by to get the corresponding <em>y</em> value, is 7. This is because, as shown by the first row of the table, 1*7=7, and, as shown by the third row of the table, 3*7=21. Therefore, in the second row of the table, <em>y</em> should be 14, as 2*7=14, while in the fourth row of the table, <em>y</em> should be 28, as 4*7=28.
<em>Hope this helps! Comment any questions. </em>
