Answer: a)6447feet
b) 6446.98feet
Step-by-step explanation:
For the first question, it is represented with figure 1 in the picture attached
For the second question, it is represented with figure 2 in the picture attached
The given equation
x/2 = y/3 = z/4
can be broken into three separate equations which I'll call equations (A), (B) and (C)
- x/2 = y/3 ..... equation (A)
- y/3 = z/4 .... equation (B)
- x/2 = z/4 .... equation (C)
We'll start off solving for z in equation (C)
x/2 = z/4
4x = 2z ... cross multiply
2z = 4x
z = 4x/2 ... divide both sides by 2
z = 2x
Now let's solve for y in equation (A)
x/2 = y/3
3x = 2y
2y = 3x
y = 3x/2
y = (3/2)x
y = 1.5x
The results of z = 2x and y = 1.5x both have the right hand sides in terms of x. This will allow us to replace the variables y and z with something in terms of x, which means we'll have some overall expression with x only. The idea is that expression should simplify to 3 if we played our cards right.
We won't be using equation (B) at all.
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The key takeaway from the last section is that
Let's plug those items into the expression (2x-y+5z)/(3y-x) to get the following:
(2x-y+5z)/(3y-x)
(2x-y+5(2x))/(3y-x) ..... plug in z = 2x
(2x-y+10x)/(3y-x)
(12x-y)/(3y-x)
(12x-1.5x)/(3(1.5x)-x) .... plug in y = 1.5x
(12x-1.5x)/(4.5x-x)
(10.5x)/(3.5x)
(10.5)/(3.5)
3
We've shown that plugging z = 2x and y = 1.5x into the expression above simplifies to 3. Therefore, the equation (2x-y+5z)/(3y-x) = 3 is true when x/2 = y/3 = z/4. This concludes the proof.
Hi there!
Based on your options, I think we're going from the big figure to the small figure. 12/8 = 1 1/2
ANSWER:
D - 1.5
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
N.14 ABC = 5x+20, N.15 ABE = 90. N.16. 123, 29, 28. N.17 K = 80
Step-by-step explanation:
Because of vertical angles, 5x+20 = 3x+66.
5x=3x+46
2x = 46
x = 23
Sum of angles in a circle is 360
360-135-135=180
ABE = CBD because vertical angles.
180 / 2 = 90
16.
Sum of angles in triangle is 180
180=123-x-2-x-3
x = 31
123, 29, 28.
17.
Sum of angles in triangle is 180
180-72-28 = 80
K = 80
Answer:
300
Step-by-step explanation:
each ten is worth 10 so 10x30+ 300
plz mark brainliest
