A digit is a number in one of the places, so for example the number 54 has two digits; a tens place digit (5) and a ones place digit (4).
Say the mystery number is a two digit number = xy
* that's not x times y but two side by side digits.
Info given:
<span>the sum of the digits of a two-digit number is 6
x + y = 6 </span>
<span>if the digits are reversed, yx the difference between the new number and the original number is 18.
**To obtain the number from digits you must multiply by the place and add the digits up. (Example: 54 = 10(5) + 1(4))
Original number = 10x + y
Reversed/New number = 10y + x
Difference:
10y + x - (10x + y) = 18
9y - 9x = 18
9(y - x) = 18
y - x = 18/9
y - x = 2
Now we have two equations in two variables
</span>y - x = 2
<span>x + y = 6
Re-write one in terms of one variable for substitution.
y = 2 + x
sub in to the other equation to combine them.
x + (2 + x) = 6
2x + 2 = 6
2x = 6 - 2
2x = 4
x = 2
That's the tens digit for the original number. Plug this value into either of the equations to obtain y, the ones digit.
2 + y = 6
y = 4
number "xy" = 24
</span>
Answer:
Width of T.V. is 21.94 inches Height is 39 inches and area is 855.66 square inch.
Step-by-step explanation:
When we buy an electronic item like T.V or Blue Ray aspect ratio is the term which is used by the salesmen or technicians. Aspect ratio is actually the ratio of length and breadth of the screen of a device or ration of width and height.
In this question aspect ratio of television is given as 16:9
This can be written as
or 
Screen of the T.V. is 65 inch which is the diagonal length of the screen.
We know from pythagoras theorem in a right angle triangle




Now height of the T.V.will be

now area of the T.V.=W×H=39×21.94=855.66 square inch
Step-by-step explanation:
As ANC are collinear,
AB+BC=AC
so,
18+BC = 41
BC = 41-18
BC = 23 is the answer.
The domain would be (negaive infinity, positive infinity)
Answer:
angle 2 = 90° {corresponding angles}
angle 7 + angle 5 = 180° {linear pair}
or, angle 7 + 100° = 180° {angle 5 is corresponding to 100°}
so, angle 7 = 80°