Answer:
Step-by-step explanation:
m∠1>m∠2
Hello!
This triangle is currently located in Quadrant 1. If it is rotated 90 degrees counter-clockwise around the origin, it will end up in Quadrant 2. The formula for this is seen below.
(x,y)⇒(-y,x)
We will do this to each point and get our final points.
(4,4)⇒(-4,4)
(4,1)⇒(-1,4)
(2,1)⇒(-1,2)
Therefore, the final points of our rotated triangle are (-4,4), (-1,4) and (-1,2).
I hope this helps!
Answer:
40⁰
Step-by-step explanation:
<em><u>Main</u></em><em><u> </u></em><em><u>principles</u></em><em><u>:</u></em>
1.Alternate angles equal
2.Vertically opposite angles are equal
If angle 2 is 40⁰, then using the second principle,angle 3 is also 40⁰
Then, using the first principle,(alternate angles/angles that form any variation of "z"), angle 6 is also 40⁰.
There are other ways to do this like using co-interior angles, straight angles and other methods, these are the easiest to understand
<h3>17 heavy equipment operators and 14 general labourers were employed</h3>
<em><u>Solution:</u></em>
Let x = number of heavy equipment operators employed
Then,
31 - x = number of laborers employed
From given,
Pay of heavy equipment operators = $ 138 per day
Pay of general labours = $ 93 per day
Payroll was $3648
Therefore,
number of heavy equipment operators x Pay of heavy equipment operators + number of laborers employed x Pay of general labours = 3648
138x + 93(31 - x) = 3648
138x + 2883 - 93x = 3648
45x = 3648 - 2883
45x = 765
x = 17
Thus,
31 - x = 31 - 17 = 14
Therefore, 17 heavy equipment operators and 14 general labourers were employed