Perimeter is adding the 3 sides together. Since both triangles have the same perimeter set both triangles to equal:
(x+3 + x+3 + x+3) = (x+3 + 2x-3 + x)
Simplify each side:
3x+9 = 4x
Subtract 3x from each side:
x=9
Answer: 216 cupcakes can be made
Step-by-step explanation:
<u>Given information</u>
36 pounds of dough in total
⅙ pound of dough per cupcake
<u>Set variables</u>
Let x be the number of cupcakes that could be made
<u>Set equations from given information</u>
Total = unit × number
36 = (1/6) × x
<u>Multiply 6 on both sides to isolate [x] variable</u>
36 × 6 = (1/6) × x × 6
216 = 1 × x

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Answer:
∠AMB = 54°
Step-by-step explanation:
2x + (x + 9) = 90°
3x + 9° = 90°
3x = 81°
x = 27°
∠AMB = 2x = 54°
Answer:
Step-by-step explanation:
Area of triangle: x^(2)
Area of rectangle: 3x^(2) - 5x + 2
The inequality: x^(2) < 3x^(2) - 5x + 2
Solutions: x < 1/2 or x > 2
Values of x (if x > 2): 3,4,5,6
Values of x (if x < 1/2): 1/3, 1/4, 1/5, 1/6
(-1,+1) quadrant 2 means negative positive