Answer:
A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.
Step-by-step explanation:
we have

Solve for x
Adds 7 both sides


Divide by -3 both sides
Remember that
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so

The solution is the interval (-9,∞)
therefore
A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10.
Answer:
Cabin is 567 yards away...
Step-by-step explanation:
The angle 21.2° is also the angle of the upper interior angle of the triangle (near the cabin)
Use the tan function:
opposite = 220 yards
adjacent = x
tan(21.2°) = (opposite / adjacent)
tan(21.2°) = 220 yards/x
x * tan(21.2°) = 220 yards
x = 220 yards/ tan(21.2°)
x= 220/ 0.388
x = 567 yards.
Cabin is 567 yards away...
We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.
Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.
Let x be the number of free income tax returns and y be the number of $35 income tax returns.
Therefore, we can set up:

Since she donates $2 for each return that she files, therefore, we can set up:

Therefore,
Sterre filed 414 tax returns for free and filed 207 tax returns for $35.
Answer:
What is the longest side?
square root of 1700
What is the square of the longest side?
1700
What is the sum of the squares of the two shorter sides?
1700
Does the window frame form right triangles?
Yes, the sum of the square of the two shorter sides equals the square of the longest side.
Answer:
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Step-by-step explanation: