Let no. of shirts be x.
Chris -- 7x
Brian --- 5x
132x/(7x+5x) = 11
x=11
Chris sold (11 x 7) shirts = 77 shirts
Brian sold (11 x 5) shirts = 55 shirts
The value of x from the figure is 70°
<h3>How to determine the value</h3>
It is important to note that alternate angles are equal and angles in a triangle sum up to 180°
We then have that,
x + 50 + 60 = 180 °
x + 110 = 180°
Make 'x' subject
x = 180 - 110
x = 70 °
Thus, the value of x from the figure is 70°
Learn more about alternate angles here:
brainly.com/question/24839702
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Answer:The number of words that she would still have to type to finish her essay is 1000
Step-by-step explanation:
Karen is typing a 4,000 word essay. She can type at about 30 words per minute. This means that if her rate remains constant, the total number of minutes that it will take her to finish would be
4000/30 = 133.33 minutes.
If she types for 45 minutes on Monday, it means that the total number of words that she typed on Monday would be
45 × 30 = 1350 words
If she types for 55 minutes on Tuesday, it means that the total number of words that she typed on Tuesday would be
55 × 30 = 1650 words
Total number of words typed on Monday and Tuesday would be
1350 + 1650 = 3000 words
The number of words that she would still have to type to finish her essay would be
4000 - 3000 = 1000 words
Given:
Equation of line 
.
To find:
The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.
Solution:
The given equation of line can be written as
Slope of line is
Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is
![[\because m_1=\dfrac{7}{4}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20m_1%3D%5Cdfrac%7B7%7D%7B4%7D%5D)
Now, the slope of perpendicular line is 
and it goes through (-21,2). So, the equation of line is
Therefore, the required equation in slope intercept form is .
The answer will be A
Step by Step Calculation
Length = √((x2 - x1)2 + (y2 - y1)2)
= √((-8-(4))2 + (7-(2))2)
= √(144+25)
= √(169)
= 13
