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Ipatiy [6.2K]
3 years ago
9

Simplify a - {b - [c - (d - e) - f] - g}.

Mathematics
1 answer:
Dimas [21]3 years ago
6 0
The key is to work from the middle.

c - (d - e) - f = c - d + e - f

b - (c - d + e - f) - g = b - c + d - e + f - g

a - (b - c + d - e + f - g) = a - b + c - d + e - f + g

Answer:
a - b + c - d + e - f + g
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You are standing on a small fire tower 50 feet from a tree. You notice a squirrel in the tree. You measure the angle of depressi
irina [24]

Answer:

44.81 feet

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ACD

Find the length side AC (height of the small fire tower)

tan(52^o)=\frac{AC}{50} ---> by TOA (opposite side divided by the adjacent side)

Solve for AC

AC=tan(52^o){50}

AC=64\ ft

step 2

In the right triangle ABE

Find the length side AB

tan(21^o)=\frac{AB}{50} ---> by TOA (opposite side divided by the adjacent side)

solve for AB

AB=tan(21^o){50}

AB=19.19\ ft

step 3

How many feet off the ground is the squirrel?

Subtract the length side segment AB from the length side segment AC

so

64-19.19=44.81\ ft

5 0
3 years ago
In the figure below, F,G,H and J are collinear. FG, GK, and HK are lone segments of equivalent length, and the measure of JHK is
ANEK [815]

 The answer would be 30 degrees because points F, G, H, and J are collinear, all you would have to do is figure out /_GHK by subtracting 180 degrees from it.

Like this  :

JHK = 180 degrees - 120 degrees = 60 degrees


8 0
3 years ago
The sum of two numbers is 58. The larger number is 6 more than the smaller number. What are the numbers?
kenny6666 [7]

Answer:

Numbers are 32, and 26.

Step-by-step explanation:

58 / 2 = 29

29 + 3 = 32 (large number)

29 - 3 = 26 (small number)

8 0
3 years ago
Read 2 more answers
The sum of 3 consecutive
Troyanec [42]
The three numbers are 52, 53, 54.

52+53=105 105+54=159
7 0
2 years ago
Read 2 more answers
Graph the function by making a table of values which table is correct
Talja [164]

It is often more convenient to evaluate a polynomial when it is written is "Horner form."

... f(x) = (((10x -4)x -8)x +3)x -6

The graphs offered can be distinguished by their values of f(1) and f(2), so our table can be a short one.

... f(1) = (((10·1 -4)1 -8)1 +3)1 -6 = -5 . . . . . . . eliminates graph d

... f(2) = (((10·2 -4)2 -8)2 +3)2 -6 = 96 . . . . eliminates graphs a and c

The appropriate choice is b.

3 0
3 years ago
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