Answer:
C
Step-by-step explanation:
∠ TUL + ∠ LUV = ∠ TUV , substitute values
x + 16 + 11x = 172 , that is
12x + 16 = 172 ( subtract 16 from both sides )
12x = 156 ( divide both sides by 12 )
x = 13 → C
Answer:
6
Step-by-step explanation:
I assume you mean GCF, greatest common factor.
First, write the prime factorizations for each:
18 = 2¹ × 3²
24 = 2³ × 3¹
Next, find what they have in common. Both have a factor of 2¹ and 3¹.
GCF = 2¹ × 3¹
GCF = 6
The greatest common factor is 6.
Answer:
±i
Step-by-step explanation:
Observing that the first two coefficients are the same as the last two, we can factor this function by grouping.
f(x) = (x^3 -7x^2) +(x -7) = x^2(x -7) +1(x -7)
f(x) = (x^2 +1)(x -7)
The factor x-7 has a real zero at x=7, so the complex zeros come from the quadratic factor (x^2 +1).
Setting that to zero and solving for x, we find ...
x^2 +1 = 0
x^2 = -1
x = ±√(-1) = ±i
The complex zeros are x = +i and x = -i.
Answer:9
Step-by-step explanation:81 divided by 9=9
Answer: x=5
Step-by-step explanation:
5 x 5 = 25 - 7 = 18
so x=5