Answer:
133
Step-by-step explanation:
133/7=19
The smaller triangle is similar to the larger triangle, which means corresponding sides occur in a fixed ratio. In particular, this means
2x/(x + 9) = (length of shortest leg in smaller triangle)/(2 times the same length)
since in the larger triangle, the shortest leg is twice as long as the shortest leg in the smaller triangle. (The ticks on the line segments mean they are congruent and have the same length.)
So
2x/(x + 9) = 1/2
4x = x + 9
3x = 9
x = 3
Answer:
a Jorge le quedan ocho huevos
Step-by-step explanation:
Tienes que dividir los 12 huevos por 2/3.
<u>Define x:</u>
Let x be the width of the border
Length of the rug = 15 -2x
Width of the rug = 12 -2x
Area of the rug = (15 - 2x)(12 - 2x)
<u>Construct equation:
</u>
Given that the area of the rug os 108 ft²
(15 - 2x)(12 - 2x) = 108
Apply distributive property:
180 - 20x - 24x + 4x² = 108
Collect all terms on the left hand side:
4x² - 44x + 72 = 0
Factorise:
x² - 11x + 18 = 0
<span> (x - 2) (x - 9)
Apply zero product property:
x = 2 or x = 9
<u>Check x:
</u>
When x = 9,
Width = 12 - 9 - 9 = -6
</span>⇒ <span>x = 9 is rejected since width cannot be negative
When x = 2
Length = 15 - 2 - 2 = 11 ft
Width = 12 - 2 - 2 = 8 ft
Answer: The border is 2 feet wide.
</span>