Answer:
X=22.5
Step-by-step explanation:
The tiny square at the bottom means 90⁰ angle, so all together that's what the X's together means.
So 90÷4x =22.5
Answer:
![12 + 4b < 7.50b](https://tex.z-dn.net/?f=12%20%2B%204b%20%3C%207.50b)
Step-by-step explanation:
Given
Reader' Book Club
![Membership = \$12](https://tex.z-dn.net/?f=Membership%20%3D%20%5C%2412)
per book
Perfect Page
per book
Required
Write an inequality to represent the situation
<em>Represent the number of books with b</em>
First, we need to write an expression for Reader's book
This is:
= Membership + Books Read
![12 + 4b](https://tex.z-dn.net/?f=12%20%2B%204b)
For Perfect Page
This is
= Books Read
![7.50b](https://tex.z-dn.net/?f=7.50b)
For Reader's club to be less than Perfect Page, we have:
![12 + 4b < 7.50b](https://tex.z-dn.net/?f=12%20%2B%204b%20%3C%207.50b)
From the inscribed circle, AE and AD are the radius of the circle while BE and BD are the tangents.
<h3>What is an inscribed circle?</h3>
An inscribed circle simply means the largest circle that's contained in a triangle.
An inscribed circle touches its tangent to the three sides. In this case, AE and AD are the radius of the circle while BE and BD are the tangents. Also, angle ABE and ABD are 60°.
Learn more about inscribed circle on:
brainly.com/question/12199537
Answer:
![\large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7By%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B9%7D%20x%20-%20%20%5Cfrac%7B5%7D%7B9%7D%20%7D)
Step-by-step explanation:
In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.
![\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7Bm%20%3D%20%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%7D)
m-term is defined as slope in y = mx+b form which is slope-intercept form.
Now we substitute these ordered pairs (x, y) in the formula.
![\large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }](https://tex.z-dn.net/?f=%20%5Clarge%7Bm%20%3D%20%20%5Cfrac%7B1%20-%20%28%20-%202%29%7D%7B%20-14%20-%2013%7D%20%7D%20%5C%5C%20%20%5Clarge%7Bm%20%3D%20%20%5Cfrac%7B1%20%2B%202%7D%7B%20-%2027%7D%20%7D%20%5C%5C%20%20%5Clarge%7Bm%20%3D%20%20%5Cfrac%7B3%7D%7B%20-%2027%7D%20%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B9%7D%20%7D)
After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is
![\large \boxed{y = mx + b}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7By%20%3D%20mx%20%2B%20b%7D)
We already know m-value as we substitute it.
![\large{y = - \frac{1}{9} x + b}](https://tex.z-dn.net/?f=%20%5Clarge%7By%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B9%7D%20x%20%20%2B%20b%7D)
We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)
We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.
![\large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}](https://tex.z-dn.net/?f=%20%5Clarge%7By%20%3D%20-%20%20%5Cfrac%7B1%7D%7B9%7D%20x%20%2B%20b%7D%20%5C%5C%20%20%5Clarge%7B%20-%202%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B9%7D%20%2813%29%20%2B%20b%7D%20%5C%5C%20%20%5Clarge%7B%20-%202%20%3D%20%20-%20%20%5Cfrac%7B13%7D%7B9%7D%20%20%2B%20b%7D%20%5C%5C%20%20%5Clarge%7B%20-%202%20%2B%20%20%5Cfrac%7B13%7D%7B9%7D%20%20%3D%20b%7D%20%5C%5C%20%20%5Clarge%7B%20-%20%20%5Cfrac%7B5%7D%7B9%7D%20%20%3D%20b%7D)
Finally, we know b-value. Then we substitute it in our equation.
![\large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }](https://tex.z-dn.net/?f=%20%5Clarge%7By%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B9%7D%20x%20%2B%20b%7D%20%5C%5C%20%20%5Clarge%7By%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B9%7D%20x%20-%20%20%5Cfrac%7B5%7D%7B9%7D%20%7D)
Tax is 1.54
Including tax = 39.99
Excluding tax= 38.5
Hope this helps