Answer:
See below
Step-by-step explanation:
For a parallelogram m < A = m < C so:-
75 + 5x = 87 + 3x
2x = 12
x = 6
and m< A = 75 + 30 = 105
and m < C = 87 + 18 = 105
Now if the other 2 angles are = 75 degrees( that is the same side angles add up to 180 degrees) we have proved that it is a parallelogram.
m < B = m < D
111 - 6x = 39 + 6x
-12x = -72
x = 6
m < B = 111 - 36 = 75 and m < D = 39 + 36 = 75
So this has been proved.
The line segment HI has length 3<em>x</em> - 5, and IJ has length <em>x</em> - 1.
We're told that HJ has length 7<em>x</em> - 27.
The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.
This means we have
7<em>x</em> - 27 = (3<em>x</em> - 5) + (<em>x</em> - 1)
Solve for <em>x</em> :
7<em>x</em> - 27 = (3<em>x</em> + <em>x</em>) + (-5 - 1)
7<em>x</em> - 27 = 4<em>x</em> - 6
7<em>x</em> - 4<em>x</em> = 27 - 6
3<em>x</em> = 21
<em>x</em> = 21/3
<em>x</em> = 7
Answer:
No, it isnt a solution
Step-by-step explanation:
Even though it works for one equation, it doesnt work on the other. You have to have the solution work for both equations so that it can be a true solution. Hope this helps you understand!
Answer:
A- 15
Step-by-step explanation:
I think option no a is answer
Answer:
fourth and fifth
Step-by-step explanation:
If George gets a 20% raise, that means he will now earn
$445 + $445*20% = $445 + $445*0.2 = $445*1 + $445*0.2 = $445*(1 + 0.2) = $445 * 1.2
So we know the fourth is correct.
We also know that current pay is 100% of current pay and the new pay will be 120% of current pay, so x/455 must be equal to 120% / 100% which is equal to 120/100, so fifth is correct too.
