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]
3 years ago
10

How do you do this problems?

Mathematics
1 answer:
rewona [7]3 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
What is the the nearest ten to 34.23413
Alla [95]
The answer to the nearest tenth is 34.2
7 0
3 years ago
There are 3,280.84 feet in a kilometer. There are 5,280 feet in a mile. To the nearest hundredth, how many kilometers are in a m
just olya [345]

Answer:

1.609344 kilometers

Step-by-step explanation:

8 0
3 years ago
Pls help easy i thinkk
soldi70 [24.7K]

Answer:

1 1/2 miles

Step-by-step explanation:

if running 1 lap around a track is 1/2 miles then all we have to do is add it up

so we know that 1/2 miles is one lap

so if he runs two laps we would have run 1 mile

now that we know that he would have ran 1 mile in 2 laps then all we have to do it just add 1 more 1/2 mile in which would give u the answer of 1 1/2 miles or 1.5 miles

4 0
2 years ago
Read 2 more answers
Help me its due today
Tanzania [10]

Answer:

$65.35

Step-by-step explanation:

  1. First you have to divide 5.4% by 100
  2. Take 5.4/100 and multiply it by 62
  3. Take the number you get from step 2 and add it to 62! (:
4 0
3 years ago
3 orange picks for every 2 green. if there are 25 picks in all, how many picks are orange?
Marta_Voda [28]
3+2=5
25÷5=5
5×3=15
There are 15 Orange picks.
8 0
3 years ago
Read 2 more answers
Other questions:
  • A department store's customer parking lot has 4 rows with an equal number of parking spots in each row. The lot also has 15 park
    10·1 answer
  • The manufacturer of a new product developed the following expression to predict the monthly profit, in thousands of dollars, fro
    7·1 answer
  • 3x-15 divided by 2= 4x solve for x
    15·1 answer
  • Find<br>the<br>equation<br>of<br>the<br>inverse<br>of the<br>following<br>functions y= -x/4<br>​
    5·1 answer
  • 3х + 5у = -3<br>x+2y = - 4/3​
    7·1 answer
  • A car dealership pays you 5% commision on your first 10,00 car sales and 8% commission on the sale amount over 10,000. If you so
    10·1 answer
  • Somebody can help me please
    8·1 answer
  • (-1,4) and ( 1, -1) Find the distance between each pair of points
    9·1 answer
  • Will mark brainliest for whoever answers correctly
    6·1 answer
  • 10. BRO SOMEONE HELP ME IM STUCK ON THIS
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!