Answer:
X = 8, Y = 8
Step-by-step explanation:
Step 1) Solve for Y w/ bottom equation to yield - y = -2/3x + 40/3.
Step 2) substitute equation into x + y = 16 to get 1/3x + 40/3 = 16 multiply by 3 to clear the fractions and get x + 40 = 48 - subtract 40 by both sides to get x = 8.
Step 3) Plug x = 8 into the bottom equation to get 48 + 9y = 120, subtract 48 by both sides to get 9y = 72 and then divide by 9. The product is y = 8.
Inequality form: x > 2
Interval notation: (2, ∞ )
The inequality that represents the number of each type of fabric that Naomi has is:
Let the number of short-sleeved shirts she made be x
Let the number of long-sleeved shirts she made be y
Length of clothes used to make a short-sleeved shirt = 9 yards
Length of clothes used to make a long-sleeved shirt = 16 yards
Length of short-sleeved shirts made = 9x
Length of long-sleeved shirts made = 16y
Total length of fabric used = 53 yards
The inequality that represents the number of each type of fabric that Naomi has is:
Learn more on inequality here: brainly.com/question/15269537
9514 1404 393
Answer:
14 units
Step-by-step explanation:
The angle bisector divides the sides proportionally, so you have ...
(x+4)/8 = (2x+1)/12
3(x +4) = 2(2x +1) . . . . . . multiply by 24
3x +12 = 4x +2 . . . . . . . . eliminate parentheses
10 = x . . . . . . . . . . . subtract (3x+2)
Then BD = x+4 = 10 +4.
The length of BD is 14 units.
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<em>Additional comment</em>
The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.
Answer:
Yes
Step-by-step explanation:
But if you stuck a pencil through the center of the picture the line that it makes would not be coplanar.
