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GalinKa [24]
2 years ago
12

Question on picture!!!!!!!!

Mathematics
1 answer:
Nat2105 [25]2 years ago
6 0

Answer:

1st option

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use (3, 8 ) , that is x = 3 when y = 8 , then

8 = \frac{k}{3} ( multiply both sides by 3 )

24 = k

y = \frac{24}{x} ← equation of variation

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PLeAsE i NeEd HeLp!!!!
olya-2409 [2.1K]

Answer:

<em>DF = 10 units</em>

m\angle DFG = 28^\circ

<em>EG = 5.04</em>

Step-by-step explanation:

<u>Properties of Rhombus es</u>

  1. All Sides Of The Rhombus Are Equal.
  2. The Opposite Sides Of A Rhombus Are Parallel.
  3. Opposite Angles Of A Rhombus Are Equal.
  4. In A Rhombus, Diagonals Bisect Each Other At Right Angles.
  5. Diagonals Bisect The Angles Of A Rhombus.

The image contains a rhombus with the following data (assume the center as point O):

DO = 5 units

GF = 5.6 units

m\angle FEO = 62^\circ

4. Calculate DF

Applying property 4, diagonals bisect each other, thus the length of DF is double the length of DO, i.e. DF=2*5 = 10:

DF = 10 units

5. Calculate m\angle DFG

Applying property 4 in triangle EFO, the center angle is 90°, thus angle EFO has a measure of 90°-62°=28°.

Applying property 5, this angle is half of the measure of angle EFG and angle DFG has the same measure of 28°.

m\angle DFG = 28^\circ

6. FG is the hypotenuse of triangle OFG, thus:

OG^2=FG^2-OF^2

OG^2=5.6^2-5^2

OG^2=6.36

OG=\sqrt{6.36}=2.52

EG is double OG: OG=2*2.52=5.04

EG = 5.04

5 0
2 years ago
What is 3/40 as a percentage, decimal and word form?<br> Thanks for the help
denpristay [2]

Answer: .075 7.5% Zero point zero Seven five

Step-by-step explanation:

4 0
3 years ago
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How do you make this??
tatuchka [14]
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7 0
3 years ago
Can someone identify the alternate interior angle? Please refer to image below.
quester [9]

Answer:

Police and icecream are alternate interior angles. So is the bakery and deli.

Step-by-step explanation:

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4 0
3 years ago
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There were 490 people at play. The admission price was $3.00 for adults and $1.00 for children. The admission receipts were $990
dusya [7]
Hope this helps! This is system of equations.

8 0
3 years ago
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