23) x = = -6.666.
24) x = = -1.7142.
25) x = = -7.4.
Step-by-step explanation:
Step 1; For = , we cross multiply the denominators and get,
3 × (x + 4) = 12 × (x + 6),
3x + 12 = 12x + 72.
We take all the x terms to the LHS and keep the constants on the RHS.
3x - 12x = 72 - 12,
-9x = 60, x = = -6.6666.
Step 2; For = , we cross multiply the denominators and get,
-5 × (x + 12) = 9 × (x - 4),
-5x - 60 = 9x - 36.
We take all the x terms to the LHS and keep the constants on the RHS.
-5x - 9x = -36 + 60,
-14x = 24, x = = -1.7142.
Step 3; For = , we cross multiply the denominators and get,
6 × (x - 8) = 11 × (x - 1),
6x - 48 = 11x - 11.
We take all the x terms to the LHS and keep the constants on the RHS.
6x - 11x = -11 + 48,
-5x = 37, x = = -7.4.
Answer:
I am pretty sure the answer is 23
Step-by-step explanation:
The answer is 23 because if you multiply 23 by 10 you get 230 which is the same if you divided 230 by 10 and you get 23.
Answer:
m∠1 = 83
m∠2 = 97
m∠3 = 83
m∠4 = 97
m∠5 = 83
m∠6 = 97
m∠7 = 83
Step-by-step explanation:
When two lines are parallel,
- Alternate interior angle are equal.
- Vertically opposite angles are equal.
- Sum of linear pair angles is 180.
m∠8 = m∠4 = 97 ( Alternate interior angles )
m∠8 = m∠2 = 97 ( Alternate interior angles )
m∠6 = m∠4 = 97 ( Vertically opposite angles )
m∠2 and m∠3 are linear pair angles,
m∠2 + m∠3 = 180
97 + m∠3 = 180
m∠3 = 180 - 97
m∠3 = 83
m∠1 = m∠3 = 83 ( Vertically opposite angles )
m∠3 = m∠7 = 83 ( Alternate interior angles )
m∠7 = m∠5 = 83 ( Vertically opposite angles )