Answer:
x + 6x+10 + x+2 = 180
x = 21
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x + 6x+10 + x+2 = 180
Combine like terms
8x + 12 = 180
Subtract 12 from each side
8x+12-12 = 180-12
8x =168
Divide each side by 8
8x/8 = 168/8
x =21
Answer:
8 teaspoons
Step-by-step explanation:
each cup of flour = 1 1/2 teapoons of bp
4 x 1 1/2 = 8
Answer:
y = 1/2x + 1
Step-by-step explanation:
Slope: 1/2
Point: (2,2)
y-intercept: 2 - (1/2)(2) = 2 - 1 = 1
<h3>
Answer: 13,011.11 dollars</h3>
note: remember to take the comma out or ignore it. I put it in there to help make the number more readable
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Explanation:
Let x be the value of the sale in dollars.
x-1900 represents the leftover amount that is over 1900
eg: if x = 2200, then x-1900 = 2200-1900 = 300 is the the leftover amount
taking 9% of (x-1900) leads to the expression 0.09(x-1900) and this expression must be 1000 since this is the extra amount of money the salesman needs (he already has $1000 in base pay)
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Solve for x
0.09(x-1900) = 1000
x-1900 = 1000/0.09
x-1900 = 11,111.11111 approximately
x = 11,111.11111 + 1900
x = 13011.1111
x = 13,011.11 rounding to the nearest cent
The magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively
The formula for calculating the resultant vector is expressed as:
Given the following distances:
u = -5√3 feet (west direction)
v = 5 feet
Substitute the given values into the formula above;
The magnitude of the resultant vector is 10feet
Get the direction:
Since tan is negative in the second quadrant, hence;
Hence the magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively.
Learn more here: brainly.com/question/5177683
