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kifflom [539]
3 years ago
11

If fh is an angle bisector of triangle efg with

Mathematics
1 answer:
kakasveta [241]3 years ago
7 0

Answer:

Step-by-step explanation:

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3x + y = 8<br><br> -x + y = -4<br> Solve the system. Write your answer as an ordered pair (x, y)
timurjin [86]
I hope this helps you



x=y+4



3 (y+4)+y=8


3y+12+y=8


4y= -4


y= -1


x= -1+4


x=3


(3, -1)
8 0
3 years ago
Someone Help<br><br>What is 432 ÷ 24​
Allisa [31]

Answer:

18

24 x 18 = 432

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is $5,158 round to the nearest percent
Gemiola [76]
I think it 5,158.00 round to the nearest percent
7 0
3 years ago
Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of
victus00 [196]

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

Rate = \frac{f(b) - f(a)}{b - a}

In this case:

(a,b) = (0,3)

i.e.

a = 0\\b=3

For f(x)

f(x) = 16(\frac{1}{2})^x

Rate = \frac{f(b) - f(a)}{b - a}

Rate = \frac{f(3) - f(0)}{3 - 0}

Rate = \frac{f(3) - f(0)}{3}

Calculate f(3) and f(0)

f(x) = 16(\frac{1}{2})^x

f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2

f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16

So:

Rate = \frac{f(3) - f(0)}{3}

Rate = \frac{2 - 16}{3}

Rate = -\frac{14}{3}

For g(x)

Rate = \frac{g(b) - g(a)}{b - a}

Rate = \frac{g(3) - g(0)}{3 - 0}

Rate = \frac{g(3) - g(0)}{3}

From the table of g(x)

g(3) = 1

g(1) = 27

So:

Rate = \frac{1 - 27}{3}

Rate = -\frac{26}{3}

For h(x)

Rate = \frac{h(b) - h(a)}{b - a}

Rate = \frac{h(3) - h(0)}{3 - 0}

Rate = \frac{h(3) - h(0)}{3}

From the graph of h(x)

h(3) = -3

h(0) = 4

So:

Rate = \frac{-3 - 4}{3}

Rate = -\frac{7}{3}

So, the calculated rates of change are:

f(x) = -\frac{14}{3} = -4.67

g(x) = -\frac{26}{3} =-8.67

h(x) = -\frac{7}{3} =-2.33

By comparison:

From the fastest decreasing to slowest, the order is: <em>g(x), f(x) and h(x)</em>

4 0
3 years ago
A bakery made some cookies. 1/2 of the cookies were placed in large boxes. 3/7 of the cookies were placed in small boxes . The r
saul85 [17]

Answer:

378 cookies

Step-by-step explanation:

Let total amount of cookies be y

Let amount of cookies in each small box = x

let amount of cookies in each large box = x + 32

Therefore total amount of cookies in 18 small boxes = 18x

Total amount of cookies in 7 large boxes = 7(x+18) = 7x + 126

Fractional amount of cookies in small & large boxes = 1/2 + 3/7 = 13/14

Total amount of cookies in  small & large boxes = 18x + 7x + 126 = 25x + 126

Fractional amount of small cookies equals amount of small cookies in 18 boxes.

3/7y = 18x------------------Eqn 1

From eqn above y = 42x

Equating fractional sum & total sum =

25x + 126 = (13/14)y

Upon cross multiplication

350x + 1764 = 13y---------Eqn 2

Substituting y = 42x into equation 2

350x +1764 = 13(42x)

1764 = 546x - 350x

1764 = 196x

x = 9 cookies

Therefore total number of cookies = 42 × 9 = 378 cookies

5 0
3 years ago
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