Answer:
6
Step-by-step explanation:
Hello,
The two triangles are <u>similar</u> and x is <u>positive</u>, <u>different from 0</u>, so we can write.

Thanks
Any line can be expresses as:
y=mx+b where m=slope=(y2-y1)/(x2-x1) and b=y-intercept (value of y when x=0)
First find the slope:
m=(2-0)/(8-0)=2/8=1/4 so we have thus far:
y=0.25x+b, we solve for b using any point on the line, (8,2)
2=0.25(8)+b
2=2+b
0=b
So the line is:
y=.25x which they might also express as y=x/4
The answer is E. (1/4)x
Answer is attached below.
Answer:
1). 
2). 


Step-by-step explanation:
First term of an arithmetic sequence is (-1) and common difference is 5.
Then we have to find twenty fifth term of this arithmetic sequence.
Since explicit formula of an arithmetic sequence is represented by

Where
represents nth term of the sequence.
a = first term
n = number of term
and d = common difference
Now we will find 25th term of this sequence.

= (-1) + 120
= 119
Similarly in second part of this question we have to find first three terms of an arithmetic sequence in which
and

Now from the explicit formula
17 = a + (21 - 1)d
17 = a + 20d --------(1)
75 = a + (50 - 1)d
75 = a + 49d --------(2)
Now we subtract equation 1 from 2
75 - 17 = 49d - 20d
29d = 58
d = 
By putting d = 2 in equation 1
17 = a + 20×2
17 = a + 40
a = 17 - 40
a = -23
Therefore, first three terms of this sequence will be



Answer:
The tank can hold 18.84 cubic feet
Step-by-step explanation:
Given
Shape: Cylinder
-- Diameter
-- Height
Required
Determine the volume
First, calculate the radius (r)



The volume (V) of the tank is:

Substitute values for r and h



<em>Hence, the tank can hold 18.84 cubic feet</em>