x
(15) sin 30.5 = ------ (15)
15
(15) sin 30.5 = x
Plug this part into a calculator.
7.61 = x
Area of a triangle: 1/2bh
1/2 (7.61)(13)
3.805(13)
49.469
49.47 un² is your final answer since you are supposed to round to the tenths place. I hope this helps.
Answer:
y-2x=8 (label equation 1)
16+4x=2y (label equation 2)
divide equation 2 by 2 to find y
y=2x+8
sub this in equation 1
(2x+8)-2x=8
2x+8-2x=8
8=8
once you get to this point because 8=8 there are an infinite number of solutions because you can't divide by 0. So the answer is B
Answer:
x = 3; y = 6; z =4
Step-by-step explanation:
The point J is the circumcentre of the triangle.
It is equidistant from the vertices. So
2x + 2 = 8
2x = 6
x = 3
2y - 4 = 8
2y = 12
y = 6
If FI = 9, HI = 9. Then,
3z - 3 = 9
3z = 12
z = 4
So, x = 3; y = 6; z =4.
Answer:
I do not know what an assymptope is but..
Step-by-step explanation:
If you mean an asymptote, it means: a line that continually approaches a given curve but does not meet it at any finite distance
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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