Answer:
Step-by-step explanation:
First, note that the angles shown are vertical angles. In other words, the two equations are equivalent to each other.
Therefore, set the equations equal to each other and solve for x;
Add 17 to both sides:
Subtract 6x from both sides:
Divide both sides by 2:
Therefore, the value of x is 12.
And we're done!
Answer:
1012
Step-by-step explanation:
She eats 1012 because:
If she eats 45 in 2 minutes then she eats 22.5 in 1 minute.
This is because 45 ÷ 2 = 22.5
Sarah eats blueberries for 45 minutes so we multiply 22.5 by 45
22.5 × 45 = 1012.5
She ate 1012 full berries.
You would pay $5.54 on that item.
Step-by-step explanation:
Given,
Cost of item = $63
Sales tax rate = 8.8%
Amount of sales tax = 8.8% of cost of item
Amount of sales tax = 
Amount of sales tax = 
Amount of sales tax = $5.54
You would pay $5.54 on that item.
Keywords: percentage, division
Learn more about percentages at:
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Answer:45 minutes
Step-by-step explanation:since you walk 4 miles an hour in half of one you walk 2
The equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Given a quadratic function for the transformations given the function f(x) = x²
If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value
- Translating the graph 1 unit up will give the final function g(x) as (x-4)² + 1 (We added 1 since it is an upward translation.)
Hence the equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Learn more here: brainly.com/question/15381183
