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Sever21 [200]
3 years ago
5

When 30% of a number is added to the number, the result is 130.

Mathematics
1 answer:
Virty [35]3 years ago
4 0

Answer:

100

Step-by-step explanation:

100% of a number + 30% of a number is 130% of a number.

This means 130 = 1.3x.

Now we simplify:

130=1.3x

/1.3   /1.3

100=x

x=100

Therefore, the number is 100.

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Find the distance between the pair of points. Round your answer to the nearest hundredth. (-8,19) and (3,5)
Amiraneli [1.4K]

Answer:

<h3>The answer is 17.80 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-8,19) and (3,5)

The distance between them is

d =  \sqrt{ ({ - 8 - 3})^{2}  +  ({1 9 - 5})^{2} }  \\  =  \sqrt{( { - 11})^{2}  +  {14}^{2} }  \\  =  \sqrt{121 + 196}  \\  =  \sqrt{317}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 17.804493...

We have the final answer as

<h3>17.80 units to the nearest hundredth</h3>

Hope this helps you

5 0
3 years ago
7. In the accompanying diagram of rhombus CDEF, diagonal FD is drawn and the
tatiyna

Answer:

m∠CFD is 70°

Step-by-step explanation:

In the rhombus

  • Diagonals bisect the vertex angles
  • Every two adjacent angles are supplementary (their sum 180°)

Let us solve the question

∵ CDEF is a rhombus

∵ ∠E and ∠F are adjacent angles

→ By using the second property above

∴ ∠E and ∠F are supplementary

∵ The sum of the measures of the supplementary angles is 180°

∴ m∠E + m∠F = 180°

∵ m∠E = 40°

∴ 40° + m∠F = 180°

→ Subtract 40 from both sides

∵ 40 - 40 + m∠F = 180 - 40

∴ m∠F = 140°

∵ FD is a diagonal of the rhombus

→ By using the first property above

∴ FD bisects ∠F

→ That means FD divides ∠F into 2 equal angles

∴ m∠CFD = m∠EFD = \frac{1}{2} m∠F

∴ m∠CFD = \frac{1}{2} (140°)

∴ m∠CFD = 70°

6 0
3 years ago
What is the equation for the graph shown?
ELEN [110]
Your answer is c
Hope this helps :)
6 0
3 years ago
Which graph represents functions f and g?
igor_vitrenko [27]
The answer is C because it’s the only answer that could be correct.
4 0
2 years ago
Burger Barn makes dipping sauce by mixing 2 spoonfuls of honey with 1/2
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Answer:

They have the same mustard flavor!

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