Answer:
x = 50
Step-by-step explanation:
-3(52)=-3(x)+-3(2)
Divide both sides by -3
52 = x + 2
x = 50
Here,
The midpoint of segment QR is M
<u>m</u><u>(</u><u>-2</u><u>,</u><u>9</u><u>)</u> x3=-2,y3=9
<u>Q</u><u>=</u><u>(</u><u>-8</u><u>,</u><u>1</u><u>2</u><u>)</u>x1=-8,y1=12
R=x2,y2
we know that,
⠀
So,
x3=
⠀
⠀
⠀
⠀
⠀
x2=4
now we find the y coordinate y2.
y3=
⠀
⠀
⠀
⠀
⠀
y2=6
<em>Now</em><em> </em><em>we</em><em> </em><em>get</em><em> </em><em>the</em><em> </em><em>two</em><em> </em><em>coordinate</em><em> </em><em>of</em><em> </em><em>R</em>
<em>so</em><em>,</em>
R=(x2,y2)=(4,6)
In a parallelogram the two angles on the same side need to equal 180 degrees. So in the picture angle F and angle G need to equal 180:
Add them together:
7x -5 + 3x-15 = 180
Simplify by combining like terms:
10x -20 = 180
Add 20 to both sides:
10x = 200
Divide both sides by 10:
X = 20
Now you know x, replace x in the angle for g and solve:
G= 7x-5 = 7(20) -5 = 140-5 = 135
G = 135 degrees.
In a parallelogram the top and bottom are the same length, so set the two to equal each other and solve for y:
3y = y + 8
Subtract y from both sides:
2y = 8
Divide both sides by 2:
Y = 4
Now replace y and solve for EF:
EF = 3y = 3(4) = 12
EF = 12
Answer:
8 more widgets
Step-by-step explanation:
<u>Monday:</u>
t hours work AT w widgets per hour
So,
total number of widgets = wt
<u>Tuesday:</u>
2 fewer hours than monday, so
hours worked = t - 2
Per hour widget production is 4 more than Monday so:
per hour widget = w + 4
Total number of widgets = 
Monday he produced more, so amount more is:
![wt-[wt+4t-2w-8]\\wt-wt-4t+2w+8\\-4t+2w+8](https://tex.z-dn.net/?f=wt-%5Bwt%2B4t-2w-8%5D%5C%5Cwt-wt-4t%2B2w%2B8%5C%5C-4t%2B2w%2B8)
Given, w = 2t, we have:

Thus,
8 more widgets were produced