Answer:
-3x + 3y - 6
Step-by-step explanation:
2x + 3y - 4 - (5x + 2)
open brackets by using - sign to multiply
2x + 3y - 4 - 5x - 2
collect like terms
2x - 5x + 3y - 4 - 2
-3x + 3y - 6
Answer:
Multiple across equal sign (Denominator x Nominator and vise versa)
Answer:
Robin will have 12 dimes in his pocket.
Step-by-step explanation:
Since;
D = One dime = $0.1
P = One penny = $0.01
Amount to have less = $1.08
From the above, when a dime is changed to a penny, the amount held by Robin will decrease by $0.09. That is,
Decease in holding = D - P = $0.1 - $0.01 = $0.09
Therefore, we have:
Number of dimes = Amount to have less / Decease in holding = $1.08 / $0.09 = 12 dimes
Therefore, Robin will have 12 dimes in his pocket.
Answer:
Step-by-step explanation:
<u>Given</u>
- m∠ABC = x°
- m∠BCD = 25°
- m∠CDE = 55°
- m∠DEF = 3x°
Add two more parallel lines passing through points C and D.
Consider alternate interior angles formed by the four parallel lines.
<u>The angles between the two middle lines are equal to:</u>
- m∠BCD - m∠ABC = m∠CDE - m∠DEF
<u>Substitute values and solve for x:</u>
- 25 - x = 55 - 3x
- 3x - x = 55 - 25
- 2x = 30
- x = 15
m∠ABC = 15°
