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Gala2k [10]
4 years ago
5

Gamal spent $12.50 at the book store. The difference between the amount he spent at the video game store and the amount he spent

at the book store was $17. The equation d-12.50=17 can be used to represent this situation, where d is the amount Gamal spent at the video game store. Which equation is an equivalent equation that can be used to find the amount Gamal spent at the video game store?
Mathematics
2 answers:
OleMash [197]4 years ago
6 0

Answer:

17 - 12.50

Step-by-step explanation:

Andrej [43]4 years ago
4 0
The equivalent equation is d=17+12.5
it simplifies to d=29.5
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drek231 [11]

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Step by-step explanation:

Given:  AD and BE are the angle bisectors  of ∠A and ∠B

i.e ∠6=∠7    ( ∵ Angles formed after  AD bisected ∠A)

∠4=∠5       ( ∵ Angles formed after  BE bisected ∠B)

Also,  DE║AB

⇒ ∠2=∠7   (∵ Alternate interior angles)

   ∠3=∠6   (∵ Alternate interior angles)

And ∠ADE : ∠ADB =∠2:∠3= 2:9 =2x : 9x     ..(1)

To Find:  ∠A,∠B,∠C.

Solution:  ∠2=∠7 (∵ Given)    ...(2)

∠2=∠4  (∵ angles on the same segment)    ...(3)

∠4=∠5 =∠B/2 (∵ Given)    ...(4)

∴ In Δ ABD

∠3+∠4+∠5+∠7 = 180 (∵ Sum of interior angles of a triangle)

From equation 2,3,4,5, Put values

9x+2x+2x+2x =180°

⇒15x = 180°

⇒x=12°

Putting values in equation (4) ⇒ ∠ B =2*(2*12) = 48°

Also, <u>∠B=∠A=48°</u>

Now,in Δ ABC

∠C+∠B+∠A= 180°

⇒48°+48°+∠C= 180°

<u><em>⇒∠C=84°</em></u>

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Step-by-step explanation:

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