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inn [45]
3 years ago
10

Solve similar triangles advanced part 1​

Mathematics
1 answer:
balu736 [363]3 years ago
4 0

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

Corresponding segments of similar triangles are proportional. Here, the similar triangles are ...

  ΔABC ~ ΔADE

so the relationship between the sides is ...

  BC/BA = DE/DA . . . . . . we put the unknown value in the numerator

  x/4 = 12/(4+8)

  x = 4(1) = 4

The length of side x is 4.

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The produce market is having a sale on grapes and oranges. A customer found the following two receipts in her cart as she was wa
AleksandrR [38]

Answer:

Step-by-step explanation:

From the first receipt:

2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:

2g + 4o = 10.70

From the second receipt:

3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:

3g + 2o = 9.65

Putting those together into a system and solving using the elimination method:

2g + 4o = 10.7

3g + 2o = 9.65

I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:

2g + 4o = 10.7

-6g - 4o = -19.3

As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:

-4g = -8.6 so

g = 2.15

Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:

2(2.15) + 4o = 10.7 and

4.3 + 4o = 10.7 and

4o = 6.4 so

o = 1.60

Oranges cost $1.60 per pound. That is choice D from your list.

5 0
3 years ago
On a number line ,1.42 would be located.choose all answer that make a true statement
IgorC [24]
Answer: A, D

Explanation:
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About how many u.s dollars would you get if you exchange 15 euros
Free_Kalibri [48]

Answer:

16 dollars and 32 cents

Step-by-step explanation:

8 0
3 years ago
An office building has 24 offices on each floor. Each office either face north, south, east, west , and the amount of offices th
yuradex [85]

Answer:

198

Step-by-step explanation:

33 * 24 = 792

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3 years ago
Solve the inequality |2h-3| >1
mel-nik [20]

Answer:

\large\boxed{h>2\ \vee\ h

Step-by-step explanation:

|2h-3|>1\iff2h-3>1\ \vee\ 2h-34\ \vee\ 2h2\ \vee\ h

5 0
3 years ago
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