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miv72 [106K]
3 years ago
12

Five times the complement of an angle is equal to twice the supplement.

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0
The answer would be 10 because 5x2 = 10
Please make me the brainliest ty
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Rectangle CDEF is rotated 45 in clockwise direction . To which angle of the image does angle D correspond? A-angle C’ B-angle D’
Andrej [43]

Answer:

the answer is angle D'

Step-by-step explanation:

the second option

4 0
3 years ago
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Which pairs of angles are supplementary?
vfiekz [6]
Supplementary angles = Angles that add up to 180°. 

∠5 + ∠7 = 180° ← supplementary angles


∠1 = ∠5 
Since ∠5 + ∠6 = 180°
⇒ ∠1 and ∠6 will also be 180° .  ← supplementary angles


--------------------------------------------------------------------------------------
Answer: ∠5 + ∠7 (Answer D) and ∠1 + ∠6 (Answer A) 
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7 0
4 years ago
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Given: measure of arc ED = 50° m∠EDK = 80° Find: ∠DSK
svetoff [14.1K]

Answer:

75°

Step-by-step explanation:

∠ESK is the supplement of ∠EDK, so is 100°. ∠ESD = 1/2·arc ED, so is 25°. Since ...

∠ESK = ∠ESD + ∠DSK

you have ...

100° = 25° + ∠DSK . . . . fill in known values

75° = ∠DSK . . . . . . . . . . subtract 25°

_____

Regarding opposite angles of an inscribed quadrilateral

Chord EK divides the 360° circle into two arc: major arc EDK and minor arc ESK. The sum of those arcs is 360°. Each of the inscribed angles that intercepts those arcs has half the measure of the arc. That is, ∠ESK intercepts arc EDK, so has half its measure. Likewise, ∠EDK intercepts arc ESK, so has half its measure. The sum of those opposite angles will be the sum of half the measures of the arcs, so half the sum of the arcs, or 1/2·360° = 180°.

This is why we can say ∠ESK is the supplement of ∠EDK.

6 0
3 years ago
What is the solution of the system? y = 13x - 1 ; y = 9x + 4
Temka [501]

Answer:

(\frac{5}{4},\frac{61}{4})

Step-by-step explanation:

This system we can solve by substitution method :

y=13x-1

y=9x+4

_______

y=13x-1

13x-1=9x+4  (instead y in second equation we use 13x-1 and first rewrite)

_______

y=13x-1

13x-9x=4+1 (subtract 9x and add 1 for each side)

______

y=13x-1

4x=5  (divide by 4)

_____

y=13x-1

x=\frac{5}{4} (instead x in first eq we write 5/4)

______

y=13*\frac{5}{4} -1=\frac{65-4}{4}=\frac{61}{4}

6 0
3 years ago
Art supplies in washington dc costs $28 if the sales tax is 6% what is the total cost of art supplies
Viktor [21]
To find how much the total would be with tax, you use this equation
x=item price
0.06x+x
when you pit in in the equation, it would be
0.06×28+28
which equals
29.68
4 0
3 years ago
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