In this question, angle 5 and angle 2 are linear pair. And angles of linear pair are supplementary angles .
Therefore
And sum of interior angles of a triangle is 180 degree, that is
SInce both the equations have 180 in the right side, left side of both equations are equal too . That is
Which gives
So the correct option is A .
Answer:
NO.
Step-by-step explanation:
The formula of the sides of a right triangle is 
, where c is the longest side. 2 squared is 4. 3 squared is 9. Adding them up gives you 13, and 4 squared is 16. 16 does not equal 13 so no.
1 tenth if you are talking about the decimal
X=44/23, y=-5/23
We first want to make the coefficients of one of the variables the same. If we choose y, we can do this by multiplying the first equation by 3 and the second equation by 2:
3(10x-4y=20)→30x-12y=60
2(8x+6y=14)→16x+12y=28
This is due to the multiplication property of equality.
Next we add the two equations together:
30x-12y=60
+(16x+12y=28)
→ 46x = 88
This is due to addition.
Next we divide both sides by 46:
46x/46 = 88/46
x = 88/46 = 44/23
This is due to the division property of equality.
Next we substitute this into the first equation:
10(44/23)-4y=20
440/23 - 4y = 20
This is due to multiplication.
We want a common denominator in order to cancel the 440/23; 23 wholes = 460/23:
440/23 - 4y = 460/23 (substitution)
Subtract 440/23 from both sides:
440/23 - 4y - 440/23 = 460/23 - 440/23
-4y = 20/23
This is the subtraction property of equality.
Next, divide both sides by -4:
-4y/-4 = 20/23 ÷ -4
y = 20/23 ÷ -4/1
y = 20/23 × -1/4 = -20/92 = -10/46 = -5/23 (division property of equality)
