Answer:
m∠C = 66°
Step-by-step explanation:
Given
m∠ A = 33°
m∠ B = 81°
To determine
m∠C = ?
We know that sum of angles of a triangle is 180°.
so using the equation
m∠ A + m∠ B + m∠C = 180°
substituting m∠ A = 33°, and m∠ B = 81° in the equatio
33° + 81°+m∠C= 180°
114° + m∠C = 180°
m∠C = 180° - 114°
m∠C = 66°
Therefore,
Answer: ½ x + 6 < 34 ; x < 56
Step-by-step explanation:
- Subtract 6 on both sides. ½ x < 28.
- Divide ½ on both sides. x < 56.
Answer:
$31.8
Step-by-step explanation:
Assuming the 6% tax is separate from the $30, we can use this equation:
Total = Cost + Tax (pretty self explanatory)
Method 1
Total = $30 + (6% * $30)
Total = $30 + $1.8
Total = $31.8
Method 2
Total = $30 * 1.06 (The 1 is the original cost, the .06 is the 6% tax)
Total = $31.8
An explicit equation is an equation used to find a term in a sequence without using the any previous terms. For example, if I have the set of numbers 1, 3, 5, 7, 9, my explicit equation is F(n)=2(n-1)+1. If I plug 1 in for n, I get F(1)= 2(0)+1, which is 1, my first term.
Hope this made sense.
Answer:
23
Step-by-step explanation:
6x+12=5x+35
x=23
