Answer:
Step-by-step explanation:
x + 13 + 4x + 2 = 180
Add the like terms,
5x + 15 = 180
Subtract 15 form both sides
5x + 15 - 15 = 180 -15
5x = 165
Divide both sides by 5
5x/5 = 16/5
x = 33
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
Step-by-step explanation:
Two lines with slopes 
and 
are parallel when 
and are perpendicular when 
Now determine the slope of all the lines
The line jk passes through the points
(-5,5) and (1,-5) so its slope is
To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope
5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3
Neither parallel nor perpendicular.
6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5
Neither parallel nor perpendicular.
5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3
This line is parallel
6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5
Since (-5/3)(3/5) = -1 this line is perpendicular.
Answer:
Ratio 1 = a(240
=b)120
=c)360
Ratio 2=a)400
=b)320
Step-by-step explanation:
On both of the ratios you first add them then divide one by one like this for example 2+1+3= 6
then 2/6 ÷720 = 120 ×2 =240 then you do this to the other numbers as well.
Articles of clothing that the store received last Thursday is 84
<u>Solution:</u>
Given that
A clothing donation store received numerous articles of clothing on Thursday of last week.
The number of articles of clothing that the store received last Thursday is represented by the following expression:
4 (3x − 1) − 2 (6 + 2x)
Need to calculate articles of clothing that the store received last Thursday when x = 12.5
As on Thursday x = 12.5, need to substitute x = 12.5 in above equation to get number of articles received on Thursday.
On substituting x = 12.5, we get
4 ( (3 x 12.5 ) – 1 ) – 2 ( 6 + ( 2 x 12.5 ) )
=> 4 (37.5 – 1) – 2 (6 + 25)
=> 146 – 62 = 84
On substituting x = 12.5 , we are getting value of expression as 84.
Hence articles of clothing that the store received last Thursday is 84
