NEED HELP PLS NEED HELP PLS I DONT WANNA FAIL PLS HELP HELP HELP
1 answer:
Answer:
Step-by-step explanation:
m∠4 + m∠7 = 180 (Adjacent Angles of a parallelogram)
<u>Given that</u> m∠4 = x + 45, m∠7 = x² + 45
x + 45 + x² + 45 = 180
x² + x + 90 = 180
x² + x = 180 - 90
x² + x = 90
x² + x - 90 = 0
Using mid-term break formula
x² + 10x - 9x - 90 = 0
x(x+10) - 9(x+10) = 0
(x - 9)(x + 10) = 0
<u>Either, </u>
x-9 = 0 <u>OR</u> x+10 = 0
x = 9 <u>OR</u> x = -10
Now,
m < 7 = x² + 45
<u>For x = 9</u>
m < 7 = (9)² + 45
m < 7 = 81 + 45
<h3>m < 7 = 126°</h3><u>For x = -10</u>
m < 7 = (-10)² + 45
m < 7 = 100 + 45
<h3>m < 7 = 145°</h3>Hope this helped!
<h3>~AnonymousHelper1807</h3>You might be interested in
The quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x + 1369.14
<h3>The data points </h3>The following table of values represents the data points that would be used to solve this question:
x 3 4 5 6 7 8 9
y 470 416 403 226 314 338 693
Where:
- x represents years since 2000
- y represents the annual revenue of a manufacturing company in thousand dollars
The table of values illustrates a quadratic function.
The function would be calculated using a graphing calculator
From the graphing calculator, we have:
a = 32.86; b = -379.14 and c = 1369.14
A quadratic regression equation is represented as:
y = ax² + bx + c
So, we have:
y = 32.86x² - 379.14x + 1369.14
Hence, the quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x + 1369.14
<h3>Why the function type was chosen?</h3>From the table of values in (a), we can see that as x increases; the value of y decreases and then increases after it reaches a minimum.
This illustrates the behavior of a quadratic regression function
See attachment for the scatter plot
Read more about quadratic regression equation at:
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