Answer:
In order of the blanks from left to right, 30; 6; 2; 1/2; 20; 12; 12; 3/5
Step-by-step explanation:
So the rectangle has an area of 60 inches squared & the equation for the area of a rectangle is width * height. So, you can find the missing term if you just take 60 & divide it by the given number.
60/2 = 30
60/10 = 6
60/30 = 2
60/120 = 1/2
60/3 = 20
60/5 = 12
60/5 = 12
60/100 = 3/5
Answer:
y=-5x+16
Step-by-step explanation:
The slope of line 1 is
.
The slope of line 2 is
.
The two lines are parallel.
Solution:
Points on line 1 are (10, 5) and (–8, 9).
![x_1=10, y_1=5, x_2=-8, y_2=9](https://tex.z-dn.net/?f=x_1%3D10%2C%20y_1%3D5%2C%20x_2%3D-8%2C%20y_2%3D9)
<u>Slope of line 1:</u>
![$m_1=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%24m_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![$m_1=\frac{9-5}{-8-10}](https://tex.z-dn.net/?f=%24m_1%3D%5Cfrac%7B9-5%7D%7B-8-10%7D)
![$m_1=\frac{4}{-18}](https://tex.z-dn.net/?f=%24m_1%3D%5Cfrac%7B4%7D%7B-18%7D)
![$m_1=\frac{-2}{9}](https://tex.z-dn.net/?f=%24m_1%3D%5Cfrac%7B-2%7D%7B9%7D)
Points on line 2 are (2, –4) and (11, –6).
![x_1=2, y_1=-4, x_2=11, y_2=-6](https://tex.z-dn.net/?f=x_1%3D2%2C%20y_1%3D-4%2C%20x_2%3D11%2C%20y_2%3D-6)
<u>Slope of line 2:</u>
![$m_2=\frac{-6-(-4)}{11-2}](https://tex.z-dn.net/?f=%24m_2%3D%5Cfrac%7B-6-%28-4%29%7D%7B11-2%7D)
![$m_2=\frac{-6+4}{9}](https://tex.z-dn.net/?f=%24m_2%3D%5Cfrac%7B-6%2B4%7D%7B9%7D)
![$m_2=\frac{-2}{9}](https://tex.z-dn.net/?f=%24m_2%3D%5Cfrac%7B-2%7D%7B9%7D)
<em>If slopes of the two lines are equal, then the two lines are parallel.</em>
The slope of line 1 is
.
The slope of line 2 is
.
Hence the given two lines are parallel.
By knowing
we can expand and simplify,
.
Hope this helps.
1) x = 8
2) x = 50 degrees
Hope I helped! Thanks for posting your question! :)