Answer:
2x - 19
Step-by-step explanation:
Perimeter = sum of sides
First let's simplify each side
We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.
2(x + 5)
Distribute by multiplying x and 5 by 2
2 * x = 2x and 2 * 5 = 10
2x + 10
1/2(4x + 8)
Distribute by multiplying 4x and 8 by 1/2
1/2 * 4x = 2x and 1/2 * 8 = 4
2x + 4
-3(2x + 11)
Distribute by multiplying 2x and 11 by -3
-3 * 2x = -6x
-3 * -33
-6x - 33
Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )
2x + 10 + 2x + 4 - 6x - 33
Combine like terms
2x + 2x - 6x = -2x
10 + 4 - 33 = -19
Perimeter: -2x - 19
"Table World" is quoting a better price
<u>Step-by-step explanation:</u>
The shop "Table World" is quoting a price of 140 inclusive of 17.5% VAT
that means 140 is the final price a customer needs to pay.
While other shop"Tables R us" is quoting a price of 120 without VAT
so we need to add VAT in the price to find out the final price
price+VAT on the price
=120+120*(17.5/100)
=120+120*0.175
=120+21
so final price =141
so comparatively "Table World" is quoting a better price
Answer:
362880 ways
Step-by-step explanation:
The word dragonfly has 9 different letters.
So, to find how many ways this word can be arranged, we just need to calculate the factorial of 9:
First letter has 9 possibilities
Second letter has 8 possibilities (one used)
Third letter has 7 possibilities (two used), and so on.
So the number of ways is:
9*8*7*6*5*4*3*2*1 = 362880 ways
Answer:
<Q = 30
Step-by-step explanation:
2x + 70 + x - 10 = 180
3x + 60 = 180
3x = 120
x = 40
x - 10
40 - 10
30
<Q = 30 because of vertical angles
