1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fredd [130]
2 years ago
10

How do you do this problems?

Mathematics
1 answer:
rewona [7]2 years ago
5 0

x = 6

Step-by-step explanation:

It's based on similarity of triangles

DEF ~ △XYZ

\implies \mathsf{ \frac{DE }{ XY } =  \frac{EF}{YZ} =  \frac{ FD}{ZX}}

The sides should be taken in order, like the triangles start with DE and XY so, we'll proportionate DE and XY and then the next two sides and so on.

I'm using \mathsf{ \frac{DE }{XY } =  \frac{EF}{YZ} }to get the value of x.

[You can use any two fractions out of the three given above. ]

\implies \mathsf{ \frac{10}{x - 1} =  \frac{8}{4}  }

\implies \mathsf{ \frac{10}{x - 1} =  2  }

\implies \mathsf{ 10 =  2 (x - 1) }

\implies \mathsf{ 10 =  2 x - 2 }

\implies \mathsf{ 10  + 2=  2 x  }

\implies \mathsf{ 1 2=  2 x  }

\implies \mathsf{ x = 6 }

Hence, the value of x is 6.

You might be interested in
Given the equation 1/4y+3/4=8, what number
const2013 [10]

Answer:

#fddddffdddfloodsuuf

3 0
3 years ago
5x minus 6 equal 44?
Lisa [10]

Answer:

x = 10

Step-by-step explanation:

I'm not entirely sure what you're asking, however we know that:

5x-6=44

5x must be 50, as 50-6=44

50 divided by 5 is 10, so 10x

6 0
3 years ago
Read 2 more answers
The estimated sum of 857 + 234 is
Llana [10]

Answer:

1,091

hope it helps.

6 0
3 years ago
When cut into 10 equal slices each slice is 1/10 of the pizza Express how much of the pizza 7 of these slices would be in decima
alexira [117]

Answer:

0.7

Step-by-step explanation:

3 0
3 years ago
What is 2 1 to 4 ÷ 3 to 4
babunello [35]

Answer:

........

Step-by-step explanation:

.......................

3 0
3 years ago
Other questions:
  • LOOK AT CHART BEFORE THE BULLET PART:
    11·1 answer
  • A guinea pig weighs 1,130 grams.<br><br> What does the guinea pig weigh measured in kilograms?
    12·2 answers
  • Online test i need help asapp plss 7th grade work
    8·2 answers
  • What is 0.5% of 360?
    9·2 answers
  • Why isn't 20 over 100 proportional
    11·1 answer
  • Marco draws a card and replaces it 10 times from a standard deck of 52 cards. He draws 8 red cards and 2 black cards. What is th
    8·2 answers
  • Expand and simplify<br>(x - 1)(2x + 3)​
    10·2 answers
  • I need a little bit of help on this. Thought I knew how to do it
    6·1 answer
  • 48 miles in 48 minutes how many miles in 1 hour
    5·1 answer
  • Select all the numbers that are prime.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!