Answer:
- Part 2 - ∠EGF = 105°
- Part 3 - ∠D = 65
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Step-by-step explanation for Part-2:
<u>We know that:</u>
- ∠EFG = 32°
- ∠AEG = 137°
- ∠EFG + ∠FGE + ∠GEF = 180°
<u>Work:</u>
- ∠EFG + ∠FGE + ∠GEF = 180°
- 32 + ∠FGE + (180 - 137) = 180°
- => 32 + ∠FGE + 43 = 180°
- => 75 + ∠FGE = 180°
- => ∠FGE = 180 - 75
- => ∠FGE = ∠EGF = 105°
Hence, the measure of ∠EGF is 105°.
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Step-by-step explanation for Part-3:
<u>We know that:</u>
- CD = CA
- This triangle is an isosceles triangle.
- ∠D = ∠A
<u>Work:</u>
- 50 + ∠D + ∠A = 180
- => ∠D + ∠D = 130
- => 2∠D = 130
- => ∠D = 130/2
- => ∠D = 65
Hence, the measure of ∠D is 65°
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Answer:
Keith travelled 4.2 miles if he had ridden directly to the pool
Step-by-step explanation:
Given: In a right triangle, the distance from the angle with measure 90 degrees to Keith's pool is 3 miles, and the distance to the pool is 3 miles.
To find: Distance travelled by Keith if he moved directly from house to swimming pool
Solution:
ΔABC is a right angled triangle.
Using Pythagoras theorem, square of hypotenuse is equal to sum of squares of base and perpendicular
Keith travelled 4.2 miles if he had ridden directly to the pool
Im a 14 billion year old space lady and im 8 feet tall with long flowing hair
Answer: B
Step-by-step explanation:
If P is say 2, then P divided by two would be one.
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Answer: 8 winter hats</h3>
Explanation:
x = number of winter hats
20-x = number of baseball hats
Dividing those quantities will get us 2/3 because of the ratio 2:3
x/(20-x) = 2/3
3x = 2(20-x)
3x = 40-2x
3x+2x = 40
5x = 40
x = 40/5
x = 8
There are 8 winter hats
And there are 20-x = 20-8 = 12 baseball hats.
The ratio 8:12 reduces to 2:3 after dividing both parts by 4. This helps confirm the answer.
