sofia can paint a house in 10 hours juana can paint the same in 9 hours how long would it take them if they worked together

The triangles are similar

hoa [83]

Answer:

Part 1) $x=16\ units$

Part 2) $x=23\ units$

Part 3) $AE=20\ units$

Part 4) $x= 6.25\ units$

Part 5) $x=26.67\ in$

Step-by-step explanation:

Part 1) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units$

Part 2) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units$

Part 3) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{AB}{CD}=\frac{AE}{ED}$

substitute the values

$\frac{10}{4}=\frac{2x+10}{x+3}$

$2.5(x+3)=2x+10$

$2.5x+7.5=2x+10$

$2.5x-2x=10-7.5$

$0.5x=2.5$

$x=5\ units$

$AE=2x+10=2*5+10=20\ units$

Part 4) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units$

Part 5) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

$\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in$

3 0

3 years ago

Read 2 more answers

A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second . How fast was it going ?

Aleks04 [339]

Answer:

30m/sec

Step-by-step explanation:

v=s/t

given s= 10m

t=1/3 sec

v= 10/(1/3)=10×3/1= 30 m/s

8 0

3 years ago

Read 2 more answers

The output is eleven more then the input

enot [183]

The input is known as x and the output is known as y in math.
So you’re stating that we’re making the equation equal the output, y, and we’re adding based off of the word “more”. Now that we know we’re adding, we have to find what we are adding together. We are adding x and 11 is that it equals y. Note that x and y could be many different variables and values.
Y= x+11

5 0

3 years ago

There are 3 boxes for green chips and 5 boxes for red chips. each box has the same number of chips in it. if there are a total o

Sauron [17]

Answer:

<h2>2 in each box of course</h2>

g= green chips r= red chips

3 boxes of green chips meaning for each box there are <em>2</em> chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total

Step-by-step explanation:

6 0

2 years ago

1. Given f(x)=2x 2 +1 and g(x)=3x-5 find the following

LenKa [72]

The value of the function 1) f -g = 2x² - 3x + 6 and 2) f(g(2)) is 3.

Here the two functions are given, f(x) and g(x).

f(x) = 2x² + 1

g(x) = 3x - 5

We have to find f-g and f(g(2)).

1) f- g

f(x) - g(x)

(2x² + 1) - ( 3x - 5)

2x² + 1 - 3x + 5

2x² - 3x + 6

2) f(g(2))

f(g(x)) = 2(3x-5)² + 1

= 2( 9x² - 30x + 25) + 1

= 18x² - 60x + 50 + 1

= 18x² - 60x + 51

f(g(2)) = 18(2)² - 60(2) + 51

=18× 4 - 120 + 51

= 72 - 120 + 51

= 123 - 120

= 3

Therefore the value of f-g is 2x²- 3x + 6 and the value of f(g(2)) is 3.

To know more about the function refer to the link given below:

brainly.com/question/11624077

#SPJ4

4 0

1 year ago