Answer:
Step-by-step explanation:

BC = 15 cm
3x = 15
x = 15/3 = 5
AB =4x = 4*5 = 20 cm
Pythagorean theorem,
AC² = AB² + BC²
= 20² + 15 ²
= 400 + 225
= 625
AC = √625 = 25 cm
AC = 25 cm

Which sequence matches the recursive formula? an=2an-1+5, where a1=5. A) 5,10,15,20 B) 5,15,35,75. C)5,15,25,35. D) 5,20,35,40
Dominik [7]
The recursive formula

means that, to compute the next value, you have to double the previous one and then add 5.
So, we start with 5. To get the second term, we double it and add five, so we have

Next, we will double 15 and add 5:

So, the answer is B, because it's the only option starting with 5,15,35.
Just to check, let's compute the last step:

Which confirms option B
Answer:
ga = 14
gb = 17
Explanation:
It's just simply replacing the empty spaces (let's call those x) and doing the necessary operations. If I gave you T = 10 + x, T would be equal to 10x. Similarly, in the first problem we replace x with the given number g and then do all our operations (T = 10 + g(4)), in the second one, we also have to remember that the formula to calculate T is T = 10 + g. Knowing that, we replace the first blank (y) with 10, and the second blank with our given number g. I hope you do well :D