Answer: The answers are given below.
Step-by-step explanation: Given that we are assembling pieces of an iron gate to complete a fence. The finished gate will look like the figure as given in the question.
Part 1: We can clearly see in the picture given that pieces 1 and 2 are placed at an angle of 90° to each other. Therefore, the pieces 1 and 2 are perpendicular to each other.
Part 2: Also, it can be seen that in the centre of the gate, the rectangular sections 5 and 6 are placed at an angle of 0° to each other. Therefore, sections 5 and 6 are parallel to each other.
Thus, 1 and 2 are perpendicular; 5 and 6 are parallel to each other.
Leila will run <u>less than</u> 25 miles this week. This means the inequality symbol will be this: "<". Since she has already ran 13 miles, we need to plug-in a variable for the additional miles she must run. The inequality should be like this when plugged-in: 25 < 13 + t.
The final answer to your question is 25 < 13 + t.
30 pints of first type and 130 pints of second type drinks must be used to make the mixture.
<em><u>Explanation</u></em>
Lets assume, the amount of first type drink is 
pints.
As the total amount of the mixture is 160 pints, so the amount of second type drink 
pints.
The first type is 20% pure juice, the second type is 100% pure fruit juice and the mixture is 85% pure fruit juice. So the equation will be .....
So, the amount of first type drink is 30 pints and the amount of second type drink is (160-30)pints =130 pints.
3x+3-x+(-7)>6
combine like terms on left side
2x-4>6
add 4 to both sides 2x>10
x=10/2 = 5
x>5
keeping in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above anyway?
![\bf y = \cfrac{2}{3}x\implies y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+0\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20y%20%3D%20%5Ccfrac%7B2%7D%7B3%7Dx%5Cimplies%20y%20%3D%20%5Cstackrel%7B%5Cstackrel%7Bm%7D%7B%5Cdownarrow%20%7D%7D%7B%5Ccfrac%7B2%7D%7B3%7D%7Dx%2B0%5Cqquad%20%5Cimpliedby%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
so we're really looking for the equation of a line whose slope is -3/2 and runs through (0,0).
