The pattern is:
1, 1, 2, 6, 24, 120
v v v v v
x1 x2 x3 x4 x5
so the next one would be 720 bc 120x6
the one after that would be 5,040 bc 720x7
the last one would be 40,320 bc 5,040x8
Answer:
7x - 35 + 12 - 2x = 12
Step-by-step explanation:
Distribution is the first step. Multiply 7 to x and -35. And multiply 2 to 6 and -x. That gives you the answer 7x - 35 + 12 - 2x = 12.
Angle 3, or C for this specific problem
Answer: y = 16.5
Step-by-step explanation:
We would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Considering triangle BCD,
BD² = 14² - 8²
BD² ° 196 - 64 = 132
BD = √132
Considering triangle ABD,
AB² = BD² + y²
AB² = (√132)² + y²
AB² = 132 + y²- - - - - - - - - - 1
Considering triangle ABC,
(8 + y)² = AB² + BC²
(8 + y)² = AB² + 14²
(8 + y)² = AB² + 196
AB² = (8 + y)² - 196- - - - - - - -2
Substituting equation 1 into equation 2, it becomes
132 + y² = (8 + y)² - 196
y² - (8 + y)² = - 196 - 132
y² - (64 + 16y + y²) = - 328
y² - 64 - 16y - y2 = - 328
- 16y = - 328 + 64
- 16y = - 264
y = - 264/- 16
y = 16.5
The answer to that is B it’s 60