Answer:
x = 12
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
10x-10 = 60 +4x+2
Combine like terms
10x-10 = 62+4x
Subtract 4x from each side
10x-4x -10 = 62 +4x-4x
6x -10 = 62
Add 10 to each side
6x-10+10 = 62+10
6x= 72
Divide by 6
6x/6 = 72/6
x = 12
<h2><u>Problem Solving</u>:-</h2>
2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.
<h2><u>Solution</u>:-</h2>
Since the distance d varies directly as the time t, then d = kt.
Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.
<h2><u>Answer</u>:-</h2>
- Therefore, the constant of variation is 10.
B.) 10 The length of the board is 7×12 = 84
the largest number of 15 inch pieces that
jeremy can cut is 5. 84÷15 is a quotient of
5 with a remainder of 9. 5×5=10
30000L is larger than 3kL
Answer:
4a^4·b^5
Step-by-step explanation:
The applicable rule of exponents is ...
(x^a)(x^b) = x^(a+b)
The commutative and associative properties of multiplication apply, so we can write the expression as ...
4·(a^3·a)·(b^2·b^3) = 4·a^(3+1)·b^(2+3) = 4·a^4·b^5
