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Delvig [45]
3 years ago
7

Solve for x the triangles are the same

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0

Answer: x=8

Step-by-step explanation:

So to begin with we need to find the connection being that they are the same triangle but with a dilation. We need to find the dilation by matching the new angles with each other H=E F=C and D=G. We need to find the relation ship between CD and FG. 65 divided by 24= 2.6 take ED and multiply 2.6 to find HG. HG= 91. Now we need to find x. 8 times x+ 3=91. Find the closest eight multiple to 91 which is 8 times 8= 88 and add 3 to see it makes 91.

8 is your answer.

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VladimirAG [237]

Answer:

28

Step-by-step explanation:

5 0
2 years ago
A carnival charges two different prices for admissions. Adults cost $4 while children cost $1.50. If a total of $5050 was collec
GenaCL600 [577]

Answer:

Step-by-step explanation:

We have to have 2 different equations to solve this.  One equation will represent the number of tickets sold while the other represents the money collected when the tickets were sold.

We know that adult tickets + children tickets = 2200 tickets.

That's the "number of tickets" equation.  Let's call adult tickets "a" and children's tickets "c".  So a + c = 2200

Now if each adult costs $4, then the expression that represents that as a cost is 4a.  If there is 1 adult, the cost is $4(1) = $4; if there are 2 adults, the cost is $4(2) = $8; if there are 3 adults, the cost is $4(3) = $12, etc.

The same goes for the children's tickets.  If each child's ticket is $1.50, then the expression that represents the cost of a child's ticket is 1.5c (we don't need the 0 at the end; it doesn't change anything to drop it off).  The total money brought in from the cost of these tickets was $5050, so

4a + 1.5c = 5050

Let's solve the first equation for a.  If a + c = 2200, then a = 2200 - c.  Sub that into the second equation and solve it for c:

4(2200 - c) + 1.5c = 5050 and

8800 - 4c + 1.5c = 5050 and

-2.5c = -3750 so

c = 1500

That means that there were 1500 children's tickets sold.  If a + c = 2200, then a + 1500 = 2200 so

a = 2200 - 1500 so

a = 700

There were 1500 children's tickets sold and 700 adult tickets sold.

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3 years ago
You have just won the lottery and will receive $570,000 in one year. you will receive payments for 23 years, which will increase
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7 0
3 years ago
Each second for 4 seconds, an elevator descends 10 feet. Find the total change in elevation.
NISA [10]
(4 sec) * (-10 ft/sec) = -40 ft.
5 0
3 years ago
Find the surface area of this triangular prism
Karo-lina-s [1.5K]

Answer:

This may not be the numbers but just follow the way in how i did it hope it helps!!!

Step-by-step explanation:

SA= 2lw x 2lh x 2wh

Length - 5m

Width - 4m

Height - 6m

= 2 (5 x 4)+2 (5 x 6)+2 (4 x 6)

=2 ( 20)+2 (30)+2 (24)

= 40 + 60 + 48

=148

The dimensions of a second rectangular prism that will have the same surface area will be the below:

Length - 6m

Width -  5m

Height - 4m

SA = 2lw + 2lh + 2wh

= 2(6 x 5)+2 ( 6 x 4) +2 ( 5 x 4)

=2(30)+2 (24)+2 (20)

=60 + 48 + 40

= 148

7 0
3 years ago
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