Please help thank you

1. 3

2. 4

3. 24

Step-by-step explanation:

LCM stands for Least Common Multiple.  A multiple is a number you get when you multiply a number by a whole number (greater than 0). A factor is one of the numbers that multiplies by a whole number to get that number. For example: the multiples of 8 are 8, 16, 24, 32, 40, 48, 56.-

The common multiple for 6 and 8 is 24. That is the Least Common Multiple(LCM)

Part A has true/false questions though that are 8 points.

Part B has multiple choice  questions that are 6 points.

She made the same number points for Part A equal the number of points for part B.

Therefore, 24/8 = 3

So they are 3 true/false questions.

24/6 = 4

So they are 4 multiple choice questions.

In total, they are 7 questions if you include everything.

That is the least number of points for which this was possible.

So each part was 24 points.

Hope it helped!

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

the correct option is b

step-by-step explanation: