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ivanzaharov [21]
3 years ago
8

What is the solution to the equation 2/3x-5/6=-5/12x+1/4

Mathematics
1 answer:
vlabodo [156]3 years ago
5 0

Answer: X=13/3

Step-by-step explanation:

1. Multiply Both sides by 12

8x-10=5x+3

2. Collect the like terms, calculate the sum

8x-5x=3+10

3.Divide both sides by 3

3x=13

Answer X=13/3

Alternative Form,

X= 4 1/3, X=4.3

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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
Helppppppppppppppppppppp
Greeley [361]

Answer: 144ft

Step-by-step explanation: Hope this help :D

6 0
3 years ago
In the given triangle ABC, find DE. answers: 20 5 10 2.5
adell [148]

Answer:

5

Step-by-step explanation:

Let's call the length AD y.

\dfrac{x+2}{y}=\dfrac{8x-14}{2y} \\\\\\2(x+2)=8x-14 \\\\\\2x+4=8x-14 \\\\\\4=6x-14 \\\\\\6x=18 \\\\\\x=3 \\\\\\DE=x+2=3+2=5

Hope this helps!

5 0
3 years ago
Complete the statements. f(4) is<br> f(x) = 4 when x is<br>​
ohaa [14]

Answer:

x = 8

Step-by-step explanation:

Given f(x) = 4

The required value of x is from the domain.

The given value of 4 is from the range.

From the diagram

8 → 4

Thus f(x) = 4 when x = 8

6 0
2 years ago
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