Answer:
x = 121
Step-by-step explanation:
all angles sum = 540
87 + 92 + 105 + 135 = 419
540 - 419 = 121
Is your test online or on paper? how would you show work. i’ll comment the answer on this
Answer:
Step-by-step explanation:
Finding the percentage of the cost that is the tip means finding the percentage of the reduction or fall in price on the initial price.
The initial price of the shirt is $27
There was a reduction in price from $27 to $20. Reduction in price is determined by subtracting the new price from the original price. Therefore
Reduction in price(tip) = 27 - 20 = 7
To determine the percentage of the cost that is the tip, we will divide the tip by the initial cost and multiply by 100. It becomes
7/127 × 100
= 25.93%
Answer:
(–5, 12) is the correct answer.
Step-by-step explanation:
We are given the following values:
Now, we know the following identities:
Now, the values are:
Sine value is positive and cos, tan values are negative.
It can be clearly observed that 
is in 2nd quadrant.
2nd quadrant means, the value of 
will be negative and 
will be positive.
Let us have a look at the value of 
:
Please refer to the attached image for clear understanding and detailed explanation.
Hence, the correct answer is coordinate (x,y) is (–5, 12)
Answer: 11x-3y = 32
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Explanation:
The given points are
A = (-4,-2)
B = (4,4)
C = (18,-8)
First we'll use points A and C to find the slope of line AC
m = (y2-y1)/(x2-x1)
m = (-8-(-2))/(18-(-4))
m = (-8+2)/(18+4)
m = -6/22
m = -3/11
The slope of AC is -3/11
Take the negative reciprocal of this slope
Flip the fraction: -3/11 -----> -11/3
Flip the sign: -11/3 ----> +11/3 = 11/3
The slope of AC is -3/11 while the slope of any line perpendicular to AC is 11/3
Let m = 11/3 and (x,y) = (4,4) which are the coordinates of point B
Plug these values into slope intercept form and then solve for b
y = mx+b
4 = (11/3)*4+b
4 = 44/3+b
4 - 44/3 = 44/3+b-44/3
b = 4 - 44/3
b = 12/3 - 44/3
b = (12 - 44)/3
b = -32/3
Since m = 11/3 and b = -32/3, we go from this
y = mx+b
to this
y = (11/3)x-32/3
Now clear out the fractions and get the x and y variables to one side
y = (11/3)x-32/3
3y = 3*[ (11/3)x-32/3 ]
3y = 11x - 32
3y-11x = 11x-32-11x
-11x+3y = -32
-1*(-11x+3y) = -1*(-32)
11x-3y = 32
The equation of the through B that is perpendicular to AC is 11x-3y = 32 (this equation is in Ax+By = C form which is called standard form)
This is better known as the altitude through B
