Answer:
see explanation
Step-by-step explanation:
(8)
the common ratio r, of a geometric sequence is
r = 
= 
= ......
r = 
= 
= 8
(9)
The simplest way to evaluate the sum is to substitute k = 3, 4, 5, 6 into each term and sum them
(- 9 + 20) + (- 12 + 20) + (- 15 + 20) + (- 18 + 20)
= 11 + 8 + 5 + 2 = 26
Answer:
Look at the proof down
Step-by-step explanation:
The given is;
→ ∠1 and ∠2 form a linear pair
→ ∠1 ≅ ∠3
We want to prove;
→ ∠2 and ∠3 are supplementary
<em>We will write the proof in like a table</em>
1. ∠1 and ∠2 formed a linear pair ⇒ 1. Given
2. m∠1 + m∠2 = 180° ⇒ 2. Sum of angles on a straight line
3. ∠1 and ∠2 are supplementary angles ⇒ 3. Supplementary angles add up to 180°
4. ∠1 ≅ ∠3 ⇒ 4. Given
5. m∠2 + m∠3 = 180° ⇒ 5. Substitution method
6. ∠3 is a supplement of ∠2 ⇒ 6. Supplement of equal angles
7. ∠2 and ∠3 are supplementary ⇒ 7. Proved
KH = 3(x + 2) + <span>3x - 4
KH = 3x + 6 + 3x - 4
KH = 6x + 2 = 44
6x = 42
x = 7
HJ = 3(x + 2)
HJ = 3(7 + 2)
HJ = 27</span>
Answer:
x = -3, y = 1
Step-by-step explanation:
To find the value of x and y, find the determinant of original matrix, which would be 21.
Then, substitute the value of x with the solutions to the equations and find the determinant of that matrix, which is -63.
Cramer's rule says that Dx ÷ D is the value of x. So, -63 ÷ 21 = -3.
So, the x-value is -3.
You can find the determinant of the y-value in the same way, and you'll find out that y = 1.
Hope this helped! :)
