8x-41+9x+17= 180 (becuase they lie on a straight line)
17x-24=180
Move twenty four to the other side as a positive
17x=204
Divide both sides by 17
X is equal to 12
Answer: 5.5 inches, 3.5 inches
Step-by-step explanation:
Given
Barry wants to make a drawing i.e. half the size of original
The length and width of the original drawing are 11 inches and 7 inches respectively.
So, the intended drawing is obtained by multiplying the original dimensions by ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
The length of barry's drawing is
![\Rightarrow 11\times \frac{1}{2}\\\\\Rightarrow 5.5\ \text{inches}](https://tex.z-dn.net/?f=%5CRightarrow%2011%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5CRightarrow%205.5%5C%20%5Ctext%7Binches%7D)
The breadth of barry's drawing
![\Rightarrow 7\times \frac{1}{2}\\\\\Rightarrow 3.5\ \text{inches}](https://tex.z-dn.net/?f=%5CRightarrow%207%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5CRightarrow%203.5%5C%20%5Ctext%7Binches%7D)
The area of a triangle is the amount of space on the triangle
The expression that represents the area of the triangle is ![A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%2012%7C-5%282%20-4%29%20%2B3%282%20-6%29%20-2%284%20-6%29%7C)
The coordinates of the triangle are given as:
![R = (-5,6)](https://tex.z-dn.net/?f=R%20%3D%20%28-5%2C6%29)
![S = (3,4)](https://tex.z-dn.net/?f=S%20%3D%20%283%2C4%29)
![T = (-2,2)](https://tex.z-dn.net/?f=T%20%3D%20%28-2%2C2%29)
The area (A) of a triangle from its coordinates or vertices are:
![A = \frac 12|x_1(y_3 -y_2) +x_2(y_3 -y_1) + x_3(y_2 -y_1)|](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%2012%7Cx_1%28y_3%20-y_2%29%20%2Bx_2%28y_3%20-y_1%29%20%2B%20x_3%28y_2%20-y_1%29%7C)
Substitute values for x's and y's
![A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%2012%7C-5%282%20-4%29%20%2B3%282%20-6%29%20-2%284%20-6%29%7C)
Hence, the expression that represents the area of the triangle is ![A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%2012%7C-5%282%20-4%29%20%2B3%282%20-6%29%20-2%284%20-6%29%7C)
Read more about areas of triangles at:
brainly.com/question/9664477
Answer:
B.
Step-by-step explanation:
So there is a pattern:
132-113=19
113-96=17
96-? is going to equal 15
So 96-81=15
And 81-68=13
(x+2)(1-x)=-4
subtract 2 from both sides: x(1-x)=2
simplify:x-2x=2
subtract: -x=2
switch the negatives
x=-2