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mr_godi [17]
3 years ago
6

In the diagram, △ABC≅△DEF. Find the values of x and y.

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0

9514 1404 393

Answer:

  • x = 5
  • y = 20

Step-by-step explanation:

We need x first.

  AB = DE

  12 = 3x -3

  4 = x -1 . . . . . divide by 3

  5 = x

Now, we can find y.

  ∠C = ∠F

  7x +y = 55

  y = 55 -7x = 55 -7(5)

  y = 20

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The five members of the Traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for
larisa [96]

Let's assume

the price of each train ticket is x

we are given

total number of family members =5

so, total cost of ticket = total number of family members*the price of each ticket

so, total cost of ticket =5*x

so, total cost of ticket =5x

now, we have

each family member buys a boxed lunch for $6.50

so, total cost of lunch box = total number of family members*price of each lunch box

so, total cost of lunch box = 5*6.50

total cost of trip = total cost of ticket+total cost of lunch box

we are given

total cost of trip is $248.50

now, we can plug values

and we get

248.50=5x+5*6.50

now, we can solve for x

248.50=5x+32.5

248.50-32.5=5x+32.5-32.5

216=5x

\frac{5x}{5} =\frac{216}{5}

x=43.2

so,

the price of each train ticket is $43.2..........Answer

8 0
3 years ago
Read 2 more answers
8x − 8 = 4x + 12..........................................
Svetradugi [14.3K]

Answer:

x=5

Step-by-step explanation:

8x − 8 = 4x + 12

8x - 4x= 12 + 8

4x=20

x=20/4

x=5

6 0
3 years ago
Read 2 more answers
Anyone here who can help me with this?
Mandarinka [93]

Answer:

D. 16 years old

Step-by-step explanation:

<u>Step 1:</u> Let T be Tien's age and J as Jordan's age (today),

T=\frac{1}{4}J

<u>Step 2:</u> Let T be Tien's age and J as Jordan's age (in 2 years),

T+2=\frac{1}{3} (J+2)

T=\frac{1}{3}(J+2)-2

<u>Step 3:</u> As their age differences will always be similar we can have the two equations above equal to find Jordan's age,

\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3}  -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16

5 0
3 years ago
Can any body answer these ???
dem82 [27]

The first quetion is a and the second question is 15.

Step-by-step explanation:

For the first one: You add two squares at the bottom on each side.

The second question: you need to add 5 more at the bottom.

3 0
2 years ago
I WILL GIVE CROWN TO FASTEST AND RIGHT ANSWER
stellarik [79]

Answer:39.5

Step-by-step explanation:Your dividing pi and 0.08, therefor this is your answer. Your Welcome.

4 0
3 years ago
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