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Sindrei [870]
3 years ago
11

F is between E and G, EF=2x-2, EG=6x+10, and FG=6x. Find x.

Mathematics
1 answer:
BartSMP [9]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

Given that F is between E and G , then

EF + FG = EG , substitute values

2x - 2 + 6x = 6x + 10 , that is

8x - 2 = 6x + 10 ( subtract 6x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

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Jessie has a total of 36 coins of dimes and nickels. Total value is $2.35. How many of each kind of coins does he have?
Viktor [21]

There are 2 dollars so that would equal 20 dimes.

Proof:

10 cents = a dime

20 x 10 = 200 = 2 dollars

__

There are 35 cents to that would equal 3 dimes and 1 nickel.

Proof:

10 cents = a dime

5 cents = a nickel

3 x 10 = 30

1 x 5 = 5

__

So the final answer would be 23 dimes and 1 nickel.

7 0
3 years ago
A 4ft piece of pipe needs to be divided into pieces that are 2/3ft long. How many pieces are made? How many remaining?
Katen [24]
4ft divided by 2/3ft

4/1 divided by 2/3 

4/1 times 3/2 is 12/2 or 6 pieces, 0 remaining.
3 0
3 years ago
If sine theta equals three over four, what are the values of cos θ and tan θ?
ratelena [41]

Answer:

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus  three over root seven

Step-by-step explanation:

Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.

Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.

a²+b²=c²

a²=c²-b²

a²=4²-3²

a²=16-9

a²=7

a=√7

Then Cos ∅= opposite/ adjacent

=√7/4

Then Tan ∅ = opposite/adjacent

=3/√7

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus  three over root seven.

7 0
3 years ago
Which side lengths form a right triangle?<br> Choose all answers that apply:
kkurt [141]

Answer:

All 3 are right triangles.

Step-by-step explanation:

In a right triangle c^2 = a^2 + b^2   where c is the longest side.  ( by Pythagoras).

a) 3^2 = 9, 6^2 = 36 and √27 ^ 2 = 27

36 = 9 + 27

So this is a right triangle.

b)

17^2 = 289, 15^2 = 225 and 8^2 = 64

289 = 225 + 64

Also right triangle.

c) √50 ^ 2 = 50, 5^2 = 25 and 5^2 = 25

So also right triangle.

3 0
2 years ago
A fruit seller has 64 oranges in some bags. each bag has 8 oranges. she sells the oranges for $2 per bag. how much does she sell
Aleksandr [31]
It is 512 because you have to multiple 64x8=512 you should have figure that out and add 512+2=514 do you get it now ?
8 0
3 years ago
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