<span>1.1401754250991 I used a caculator sorry ;c</span>
Answer:
∠J = 115
∠N = 65
∠M = 50
∠K = 130
Step-by-step explanation:
Sum of all the angles = 360
2x + 15 + x + 15 +x + 3x - 20 = 360
Combine like terms
2x + x + x + 3x + 15 + 15 - 20 = 360
7x + 10 = 360
7x = 360 - 10
7x = 350
x = 350/7
x = 50
∠J = 2x + 15 = 2*50 + 15 = 100+15 = 115
∠N = x +15 = 50 +15 = 65
∠M = x = 50
∠K = 3x - 20 = 3*50 - 20 = 150 - 20 = 130
I would set all 3 given measures equal to 180.
13x-9+4x+11+2x+7 = 180
19x +9 = 180
19x = 171
x= 9
angle l = 4 (9) + 11= 47
answer = 47
Answer:
x = 3 . . . or . . . x = 4
Step-by-step explanation:
The factored form is ...
(x -3)(x -4) = 0
The zero product rule tells you the solutions are the values of x that make the factors be zero:
x = 3
x = 4
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Comment on factoring
When the leading coefficient is 1, the coefficient of the x-term is the sum of the constants in the binomial factors, and the constant term is their product. You can see this by multiplying out the generic case:
(x +a)(x +b) = x^2 +(a+b)x + ab
What this means is that when you're factoring, you're looking for factors of the constant that add up to give the coefficient of the x-term. Here, the x-term is negative and the constant is positive, so both factors will be negative.
12 = -1×-12 = -2×-6 = -3×-4
The sums of these factor pairs are -13, -8, -7. Clearly, the last pair of factors of 12 will be useful to us, since that sum is -7. So, the binomial factors of our equation are ...
(x -3)(x -4) = 0
___
If the leading coefficient is not zero, the method of factoring is similar, but slightly different. Numerous videos and web sites discuss the method(s).
Answer:
width = 6
length = 4
Step-by-step explanation:
perimeter = 2L + 2W
L = W - 2
plug in perimeter:
20 = 2L + 2W
you know the length is 2 less than the width
plug in (w - 2) for L:
20 = 2(w - 2) + 2w
solve for w:
20 = 2w - 4 + 2w
20 = 4w - 4
4w = 24
w = 6
now plug in 6 for w in either equation, whichever is easier to solve:
L = 6 - 2
L = 4
width = 6
length = 4
