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ASHA 777 [7]
3 years ago
5

​ Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0
When the quadrilateral is inscribed in a circle (a "cyclic" quadrilateral), opposite angles are supplementary. This fact gives a relationship between angles B and D that lets us find the value of x.
  ∠B + ∠D = 180
  (2x-4) + (3x+9) = 180
  5x +5 = 180
  x = (180 -5)/5 = 35

Now, we can find angle C as
  ∠C = 180 - ∠A
  ∠C = 180 - (2×35+3)
  ∠C = 107°
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Let XXX and YYY be the following sets: X = \{9, 25\}X={9,25}X, equals, left brace, 9, comma, 25, right brace Y = \{1, 4, 9,16,25
Dmitry_Shevchenko [17]

Answer:

The answer is "\bold{ \{\phi\}}"

Step-by-step explanation:

Given value:

\ Set\ X  = \{9, 25\} \\\\\ Set \ Y = \{ 1,4,9,16,25 \}\\\\Find: \\\\Set (X- Y) \\\\

When we subtract set X - Y it means, that it will give only, that value which is not available on the set Y.

\{X-Y\} = \{\phi\}

5 0
3 years ago
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You double the radius of a sphere. How does this affect the volume?
Afina-wow [57]
The volume of a sphere is defined as:
V=(4*pi*r^3)/3
then, if we double the radius of the sphere (r=2r):
V=(4*pi*(2r)^3)/3
V=(4*pi*(2^3*r^3))/3
V=(4*pi*r^3)/3*8

Then, the answer is that if you double the radius of the sphere, its volume is increased 8 times.
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3 years ago
Deirdre plotted a point D in Quadrant IV. After she reflected the point across an axis, the reflection was in Quadrant III. Give
Lostsunrise [7]
It depend on what d was. anything in Q3 can work for the reflection and both x and y are negative, you can say that for sure. for the actual point D, anything in Q4. in Q4 x is positive and y is negative. if d is (3,-3) then it's reflection is (-3,-3)
8 0
3 years ago
Miguel has a painting that is 4 inches wide by 2 feet long. He made an enlarged copy of it. The enlarged copy is 1 foot wide. Wh
ahrayia [7]

The length of the enlarged copy in feet is 2.7 feet.

<u>Step-by-step explanation</u>:

  • The painting is 4 inches wide and 2 feet long.
  • convert inches into feet (1 inch=0.083 foot). Therefore, 4 inches=0.3 feet
  • The enlarged copy is 1 foot wide and 'x' feet long.

The width is enlarged from 0.3 to 1 which is increased by 0.7 feet.

∴ The length should also be increased by 0.7 feet = 2+0.7 = 2.7 feet

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3 years ago
2
Nezavi [6.7K]

Answer:

Step-by-step huh vunefvjefeffj. Vf Jeff vfnu

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