Angle EGD = x (vert. opp. angles)
30 ° + 90 ° + x = 180 ° (adj. angles on st. line)
x = 60
Answer:
The equation which models the scenario is: 16 p + 32 q = 1280
Step-by-step explanation:
The total number of pints packed = p
The total number of quarts packed = q
The weight of 1 pint jar of tomatoes = 16 oz
So, the total weight of p pints = p x ( Weight of 1 pint) = p x ( 16 oz) = 16 p
The weight of 1 quart jar of tomatoes = 32 oz
So, the total weight of q quarts = q x ( Weight of 1 quart) = q x ( 32 oz)
= 32 q
Now, the TOTAL WEIGHT of p pints and q quarts
= Total weight of { p pints + q quarts} = 16 p + 32 q
Also, chin canned a total of 1280 ounces.
⇒ TOTAL WEIGHT of p pints and q quarts = 1280 ounces
or, 16 p + 32 q = 1280 ounces
Hence, equation which models the scenario is: 16 p + 32 q = 1280
An exterior angle is formed by one side of the triangle, and a side EXTENDED outside the triangle. Two angles are like that, ∠4 and ∠2.
Angle 3 is NOT an exterior angle because it is made up of two extended sides. It does not use one of the sides of the triangle.
Which polynomial is equal to (-3x^2 + 2x - 3) subtracted from (x^3 - x^2 + 3x)?
<h3><u><em>
Answer:</em></u></h3>
The polynomial equal to (-3x^2 + 2x - 3) subtracted from (x^3 - x^2 + 3x) is 
<h3><u><em>Solution:</em></u></h3>
Given that two polynomials are: 
and 
We have to find the result when is subtracted from
In basic arithmetic operations,
when "a" is subtracted from "b" , the result is b - a
Similarly,
When is subtracted from , the result is:
Let us solve the above expression
<em><u>There are two simple rules to remember: </u></em>
- When you multiply a negative number by a positive number then the product is always negative.
- When you multiply two negative numbers or two positive numbers then the product is always positive.
So the above expression becomes:
Removing the brackets we get,
Combining the like terms,
Thus the resulting polynomial is found
The table of inputs that satisfy the given function is (<em>-2, 25), (-1, -30), (0, 35), (1, -40) and (2, -45).</em>
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Given the function f(x) = -5(x + 7)
When x = -2; f(-2) = -5(-2 + 7) = -25
When x = -1; f(-1) = -5(-1 + 7) = -30
When x = 0; f(0) = -5(0 + 7) = -35
When x = 1; f(1) = -5(1 + 7) = -40
When x = 2; f(2) = -5(2 + 7) = -45
The table of inputs that satisfy the given function is (<em>-2, 25), (-1, -30), (0, 35), (1, -40) and (2, -45).</em>
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