Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
Answer:
x^2 + 8x + 16
Step-by-step explanation:
Given length of square x + 4.
Area of square with side S is given by
.
Therefore are of square with side x + 4 is given by 
Area of square = 
Thus, x2 + 8x + 16 expression represents the area of a fabric square.
No beacuse 1/4 would be less that 1/2 it's common sense
ANSWER
b=1, c=81, and d=9.
EXPLANATION
The given function is:

This function is the same as:

To find the inverse of this function, we interchange x and y.

Solve for y:

Take square root of both sides:


Hence,
b=1, c=81, and d=9.
4)
area of figure = bh = 8x10 = 80
same as a trapezoid have base 6 and 14 and height 8
because A of trapezoid = 1/2(6+14)*8 = 80
so answer is C
a trapezoid with bases of 6 mm and 14 mm and a height of 8 mm
5)
area of original figure A = bh = 8 x 10 = 80
if double h = 16 and b = 20 then A = 16 x 20 = 320
the area is quadrupled.
answer is C.
The area is quadrupled