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Taya2010 [7]
3 years ago
11

Determine whether the three segment lengths will produce a triangle. Type yes or no in the space provided.

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

20 , 20 , 30 will produce a triangle

Step-by-step explanation:

* Lets study how to know if the lengths of the three segments

 can formed a triangle

- It is a fact that in any triangle the sum of the smallest two sides

 must be greater than the largest side

- Lets study some examples

# If the lengths of the three segments are 5 , 6 , 7

∵ 5 and 6 are the smallest

∴ 5 + 6 = 11

∵ 11 > 7 ⇒ the sum greater than the 3rd side

∴ 5 , 6 , 7 can formed a triangle

# If the lengths of the three segments are 5 , 7 , 12

∵ 5 and 7 are the smallest

∴ 5 + 7 = 12

∵ 12 = 12 ⇒ the sum equal the 3rd side

∴ 5 , 7 , 12 can not formed a triangle

# If the lengths of the three segments are 10 , 12 , 24

∵ 10 and 12 are the smallest

∴ 10 + 12 = 22

∵ 22 < 24 ⇒ the sum less than the 3rd side

∴ 10 , 12 , 24 can not formed a triangle

* Now lets solve the problem

∵ The length of the three segments are 20 , 20 , 30

∵ 20 and 20 are the smallest

∴ 20 + 20 = 40

∵ 40 > 30 ⇒ the sum greater than the 3rd side

∴ 20 , 20 , 30 will produce a triangle

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A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and d
Musya8 [376]
The value of the coin times the number of coins all added up equals the total value of the piggy bank
so
0.05n + 0.10d = 5.60

then they have given us "number of nickels is 8 less than 3 times the dimes"
this translates to
n = 3d - 8

we plug this into our first equation and we get
0.05(3d - 8) + 0.10d = 5.60

now we solve for d
first we can distribute the 0.05
0.15d - 0.40 + 0.10d = 5.60

then we can add the 0.15d and 0.10d together
and get
0.25d - 0.40 = 5.60

then we can add 0.40 to both sides
0.25d = 6.00

then divide both sides by 0.25
d = 6.00 / 0.25 = 24
so we have 24 dimes


then to find nickels, we plug in 24 for d into
n = 3d - 8
and get
n = 3(24) - 8
n = 72 - 8
n = 64

therefore we have
64 nickels
and
24 dimes
4 0
3 years ago
Read 2 more answers
What are the answers to these problems? This is due tomorrow.
beks73 [17]
Darren's model is wrong because he multiplied the fractions when he should have subtracted.
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4/5 - 1/2
8/10 - 5/10 = 3/10

The correct model would be 3/10.
4 0
3 years ago
Which statements can be used to write an algebraic expression to represent the phrase? the quotient of a number and sixteen Chec
liubo4ka [24]

Answer:

t/16

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Step-by-step explanation:

Quotient of a number and 16

Let the number=t

Quotient represent division

The expression can be written as t/16

•Replace "a number" with a variable, like t.

•Quotient represents division.

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7 0
3 years ago
Given: m EH =85°, m∠EYV=35°. Find: m EV .
avanturin [10]

Answer:

  155°

Step-by-step explanation:

∠EYV is half the difference of arcs EV and EH

  (1/2)(EV -EH) = ∠EYV

  (1/2)(EV -85°) = 35° . . . . fill in the given values

  EV -85° = 70° . . . . . . . . .multiply by 2

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5 0
3 years ago
Find the value of x.
kramer

Answer:

i think x is 36

Step-by-step explanation:

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