Answer:
see explanation
Step-by-step explanation:
(x - 4)² = 5 ( take square root of both sides )
x - 4 = ±
( add 4 to both sides )
x = 4 ± ![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
that is
x = 4 -
, x = 4 + ![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
Answer:
x=54
Step-by-step explanation:
These angles are vertical angles, which means they are equal
2x+2 = 3x-52
Subtract 2x from each side
2x+2-2x = 3x-52-2x
2 =x-52
Add 52 to each side
2+52 = x-52
54=x
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(5x - 17) + (3x - 11)= 180 [ Linear Pair ]
= 8x - 28= 180
= 8x= 208
= x = 208/8
= x = 26
3x-11
= 3*26 - 11
=67
Now, we have:
(2y+5)+90+(3x-11)=180 [Linear Pair]
Substituting (3x-11),
(2y+5) + 90 + 67= 180
= (2y+5)+157= 180
= 2y + 162= 180
= 2y= 18
=y = 18/2
=y= 9
Therefore, x= 26, and y= 9
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Have a great day.
12 divided by 2, 24 divided by 4, 54 divided by 9, and 36 divided by 6.