Answer: n = -3
Step-by-step explanation:
8(3n + 5) = -32
- <em>Divide both sides by 8.</em>
(3n + 5) = -4
- <em>Subtract 5 by both sides.</em>
3n = -4 - 5
3n = -9
- <em>Divide both sides by 3.</em>
n = -3
An equation that doesn't have a solution would have to end up as something impossible when you solve it all out, like
5=3.
When you simplify your equation out, you get
3x-4=3x+?
Subtract 3x from both sides.
-4=?
From this, you can tell that you need to out something in the ? that will make the equation false, or something that doesn't equal -4.
You could put anything in the ? as long as it is not -4.
Hope this helps!
I did the multiplications and I think it is 1,568
Answer:
slope = - 5/2
y-intercept = (0,-5)
Step-by-step explanation:
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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