Answer:
3
Step-by-step explanation:
Triangles with the same shape but different size are proportional. Proportional means that their side lengths form equal ratios. To solve for x, set up a proportion.
The ratios we will create will be 
where each long and short are corresponding sides from each triangle.
So write:
To solve, cross multiply numerator with denominator.
4(2.25) = 3(x)
9 = 3x
3 =x
Answer:
16 feet
Step-by-step explanation:
add 10 ft & 6 ft
Answer:
x = 10
Step-by-step explanation:
Solve for x:
2 (x + 2) - 7 + x = 27
2 (x + 2) = 2 x + 4:
2 x + 4 + x - 7 = 27
Grouping like terms, 2 x + x - 7 + 4 = (2 x + x) + (4 - 7):
(2 x + x) + (4 - 7) = 27
2 x + x = 3 x:
3 x + (4 - 7) = 27
4 - 7 = -3:
3 x + -3 = 27
Add 3 to both sides:
3 x + (3 - 3) = 3 + 27
3 - 3 = 0:
3 x = 27 + 3
27 + 3 = 30:
3 x = 30
Divide both sides of 3 x = 30 by 3:
(3 x)/3 = 30/3
3/3 = 1:
x = 30/3
The gcd of 30 and 3 is 3, so 30/3 = (3×10)/(3×1) = 3/3×10 = 10:
Answer: x = 10
Answer:
-2; Inferior good
Step-by-step explanation:
Given that,
Initial Quantity = 10 boxes
New Quantity = 8 boxes
Percentage increase in Sally's income = 10%
Change in consumption:
= 8 boxes - 10 boxes
= - 2 boxes
Percentage change in quantity demanded:
= (Change in quantity demanded ÷ Initial quantity) × 100
= (-2 ÷ 10) × 100
= - 20%
Therefore,
Income elasticity of demand:
= percentage change in quantity demanded ÷ Percentage change in income
= - 20% ÷ 10
= -2
Inferior goods are generally have a negative income elasticity of demand which means that an increase in the income of the consumer will lead to reduce the quantity demanded for inferior good and vice versa.
Hence, the good is a inferior type of good.
The surface area of rectangular prism is 346 square meters.
Given the figure is rectangular prism.
We know that the surface area of rectangular prism with length L, width W and height H is = 2(LW+WH+LH)
Given that the length of prism = 5 m
Width of prism = 17 m
Height of prism = 4 m
So the total surface area of the rectangular prism is given by,
= 2 [5*17 + 17*4 + 4*5]
= 2 [85 + 68 + 20]
= 2*173
= 346 square meters
Hence the surface area of rectangular prism is 346 square meters.
To know more about Rectangular Prism refer to:
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