Answer
Arc EF = 52°
Arc HD = 142°
Angle HGF = 128°
Explanation
To solve for the unknown angles, we need to first solve for x
To do that, we need to first note that the sum of angles on a straight line is 180°
So,
Angle HCG + Angle HCD = 180° (Sum of angles on a straight line)
Angle HCG = 2x
Angle HCD = 6x + 28°
Angle HCG + Angle HCD = 180°
2x + 6x + 28° = 180°
8x + 28° = 180°
8x = 180° - 28°
8x = 152°
Divide both sides by 8
(8x/8) = (152°/8)
x = 19°
Angle HCG = 2x = 2 (19°) = 38°
Angle HCD = 6x + 28° = 6(19°) + 28° = 142°
So, we can solve for the rest now
Arc EF = Angle ECF
= 90° - Angle ECD
Angle ECD = Angle HCG = 38° (Vertically opposite angles are equal)
Arc EF = Angle ECF
= 90° - Angle ECD
= 90° - 38°
= 52°
Arc HD = Angle HCD = 142°
Angle HGF = Angle HCG + Angle GCF = 38° + 90° = 128°
Hope this Helps!!!
Answer:
Sugar concentration of the mixed soft drink will be <em>32.5%.</em>
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Step-by-step explanation:
Sugar concentration of first drink = 20%
Volume of first soda = 250 ml
Sugar in first soda = 20% of 250 ...... (1)
Sugar concentration of second drink = 45%
Volume of second soda = 250 ml
Sugar in second soda = 45% of 250 ...... (2)
Let
be the sugar concentration in resultant mixture.
Volume of mixture = 250 + 250 = 500 ml
Sugar in mixture =
of 500 ml ...... (3)
Total sugar concentration (Adding (1) and (2)) and equating it to equation (3):
20% of 250 + 45% of 250 =
of 500

Hence, Sugar concentration of the mixed soft drink will be <em>32.5%.</em>
Answer:
3^12
Step-by-step explanation:
When multiplying the same number with different exponents you have to add the the exponents. For example:

So (3^6)(3)(3^5) or (3^6)(3^1)(3^5) = 3^(6+1+5) = 3^12
It’s 2.26 (now I am going to write random stuff bc it says I need to have 20 characters ggvjffdffvhkjhv)
Answer:
see attached picture please