We can find the value of x through a proportion. Since these two triangles are similar, their sides are in proportion.
4 is to 12 as 5 is to x
Remember to say 12, not 8! 8 is only part of the whole side. We can also simplify 4 is to 12 to 1 is to 3.
1/3 = 5/x
Cross multiply
x = 15
Hope this helps!
3x-4y=10
-20-x+2y=10 then -30+2y=x now plug this in the other equation:
3(-30+2y)-4y=10
-90+6y-4y=10
2y=100
y=50
The answer should be answer A. (A,C,D,K)
You can easily figure this out by just looking at the graph. Just look at all points that are in the blue region(overlapping shaded area) and see all the points inside.
H is not included because it falls on the dotted line. Any point that falls on a dotted line does not satisfy both inequalities.
If the line were solid however, then the point would satisfy both inequalities. This is because the line would include the <em>greater than or equal to</em> symbol "≥" which means that the point <em>could</em> equal to 8 or be less than 8. Since the symbol is not used, it doesn't satisfy both equations.
That painting would be 1 yard and 2 inches left over