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ycow [4]
3 years ago
5

Given the statement, LEI=BNZ and the diagrams shown, determine the value of x.

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

Answer:

x = 20

Step-by-step explanation:

Given the triangles are congruent then corresponding angles are congruent, so

∠ N = ∠ E

To calculate ∠ E subtract the sum of the 2 given angles from 180

∠ E = 180 - (x - 5 + 4x - 10)

     = 180 - (5x - 15)

Equate ∠ N and ∠ E

5x - 5 = 180 - 5x + 15 ( add 5x to both sides )

10x - 5 = 195 ( add 5 to both sides )

10x = 200 ( divide both sides by 10 )

x = 20

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Solve for x: 7 over 8 minus 1 over x equals 3 over 4.
photoshop1234 [79]
Hi!

Let's write the equation in number form first.

7 over 8
7/8

minus 1
7/8 - 1

over x
7/8 - 1/x

equals 3
7/8 - 1/x = 3

over 4
7/8 - 1/x = 3/4

Now to find the value, let's put each option as the value for x.

A. x = 1
7/8 - 1/1 = 3/4
7/8 - 1 = 3/4
0.875 - 1 = 0.75
-0.125 = 0.75
This is wrong.

B. x = 2
7/8 - 1/2 = 3/4
7/8 - 0.5 = 3/4
0.875 - 0.5 = 0.75
0.375 = 0.75
This is wrong.

C. x = 4
7/8 - 1/4 = 3/4
7/8 - 0.25 = 3/4
0.875 - 0.25 = 0.75
0.625 = 0.75
This is wrong.

D. x = 8
7/8 - 1/8 = 3/4
7/8 - 0.125 = 3/4
0.875 - 0.125 = 0.75
0.75 = 0.75
This is correct!

The answer is d. x = 8

Hope this helps! :)
-Peredhel



8 0
4 years ago
What is 1/5 divided by 3?
Yuliya22 [10]
1/6 may be but in decimal i got 0.6
7 0
3 years ago
Read 2 more answers
Answer this question please and thank you
DerKrebs [107]

Answer:

Not a 100% sure but the first one is 0.064

The Second is 1

Third is also 1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
13x+7=8x+27<br> 20 points
Montano1993 [528]

Answer:

x=4

Step-by-step explanation:

13x+7=8x+27

5x+7=27

5x=20

x=4

5 0
3 years ago
Read 2 more answers
Last year, Ishiro Novato drove 21,986 miles and had these expenses: gas $1,187.25; maintenance and miscellaneous $118.80; parkin
Alisiya [41]

Answer:

  $0.187 per mile

Step-by-step explanation:

The sum of the expenses for the year is ...

  $1,187.25 +$118.80 +$300.00 +$75 +$614.80 +$34.90 +$1,780.00

  = $4110.75

Then the cost per mile is ...

  cost/miles = $4110.75 / 21986 ≈ $0.18697

The cost per mile is about $0.187, or 18.7¢ per mile.

__

If you need whole cents, that's about $0.19 per mile.

3 0
3 years ago
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