To solve, we must get x by itself. the first step we must take is to remove all of the parentheses. To do this, we must use distribution to multiply 5 by x - 6.
5(x - 6) = 3x - 18 + 2x
5x - 30 = 3x - 18 + 2x
Next, we must add like terms.
5x - 30 = 5x - 18
Finally, we must get x by itself. to do this, we must subtract 5x from both sides.
5x - 30 - 5x = 5x - 18 - 5x
Then, we add like terms again.
-30 = -18
Because this is a false statement, the equation is a contradiction.
Answer:
Option (B)
Step-by-step explanation:
From the given picture,
Given:
Two lines PM and QR are intersecting each other at a point N.
∠NMR ≅ ∠NPQ
NR ≅ QN
To prove:
ΔMNR ≅ ΔPNQ
Statements Reasons
1). NR ≅ QN 1). Given
2). ∠NMR ≅ ∠NPQ 2). Given
3). ∠MNR ≅ ∠PNQ 3). Definition of vertical angles
4). ΔMNR ≅ ΔPNQ 4). AAS theorem of congruence
Therefore, Option (B) will be the correct option.
Answer:
Since both have equal length
9x - 2 = 6x + 13
9x - 6x = 13 + 2
3x = 15
x = 15/3
x = 5
Length of BC = 6(5) + 13 = 43 cm
95% = 0.95
280 - (280 * 0.95)
Answer: The system will succeed when the first alarm rings or when the first one fails, but the second one rings. The probability of this is 0.98
The probability of system failure is 1-(probability of success)= 1-0.98= 0.02
Step-by-step explanation:
