Answer:
B. 2 in.
Step-by-step explanation:
First, put the two perimeters together to form a fraction.
192/48, which can simplify to 4/1
Now, following the order in which you put the perimeters (I used C/D,) set it equal to the sides.

Now, cross multiply. (multiply 1 and 8, 4 and x.)

Now, solve.
x=2 inches.
Answer:
1: 119 2: 61 3: 61 4: 119 5: 119 6: 61 7: 61
Step-by-step explanation:
Since we know that m & n are parallel we can prove which angles are congruent to angle 8 and which are supplementary
5: 119 (vertical to angle 8)
1: 119 (corresponding angles theorem
2: 61 (linear pair)
3: 61 (vertical to 2)
4: 119 (vertical to 1)
6: 61 (same sided interior angles theorem)
7: 61 (corresponding)
The answer would be D. y=-2x+8
Answer:
x=1 is the minima
No point of inflection
y axis is asymptote
Step-by-step explanation:
A function is given by

Let us use derivatives to find extrema point of intersection etc

We find that second derivative cannot be equal to 0 for any value of x.
Hence there are no points of inflection.
Equate I derivative to 0
x =1
At x=1 I derivative is 0 and II derivative positive. So minima at x=1 and y =1
ln x is not defined for 0 or negative values of x
Hence asymptote is x=0 or y axis
Domain is (0,infty)
Range is (1,infty)
Since I derivative is negative for x <1 and positive for x>1
decreasing in (0,1) and increasing in (1,infty)
Answer:
12 boys
Step-by-step explanation:
Use the ratio
7(3)= 21
4(3)= 12