6b + 5
Step-by-step explanation:
We begin by expounding the equation so as to remove the brackets;
2(a -3) + 4b - 2(a -b -3) + 5
2a – 6 + 4b - 2a + 2b + 6 + 5
Then we put the like terms together;
2a – 2a + 4b + 2b – 6 + 6 + 5
Now when the equation is simplified will look like this;
= 6b + 5
Learn More:
For more on simplifying expressions;
brainly.com/question/13121038
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520 is the principal, 156 is the total interest in 5 years. Divide the 156 by 5, and you get $31.20 per year. divide: 31.2 / 520 = 0.06. convert that to a fraction, and you get the answer: 6%
Answer:
The probability that the person gets a speeding ticket is 0.27
Step-by-step explanation:
The probability that the person receives a speeding ticket is the probability that the person passes through any of the speed limits and the radar is operating at that time.
Let
is the probability that the person passes through radar
and it is operating at that time is

Where
P(1) is the probability of person passes through 
P(2) is probability that the radar is operating

Similarly the probabilities are calculated for other radars in the similar manner as


Thus the reuired probability of the reuired event is

;)
♨
⤻ Before solving the given question , you should know the answer of these questions :
✺How do you find the hypotenuse , perpendicular and base when the angle (
) is given ?
⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).
☄ 
In the above cases ,
is taken as the angle of reference.
♪ Our Q/A part ends up here! Let's start solving the question :
❈ 
- Perpendicular ( p ) = ? , Hypotenuse ( h ) = 18 & base ( b ) = 16
✧ 
- Value of tan

✎ 
Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :
❃
[ Pythagoras theorem ]







Okey, We found out the perpendicular i.e
. Now , We know :
❊ 



⟿ 
۵ Yay! We're done!
♕ 
- Never lose hope & keep on working ! ✔
ツ Hope I helped!
☃ Have a wonderful day / evening! ☼
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According to above figure, we can conclude that :
- The given triangles are congruent by SSS criteria.