6x + 1 = 2(3x - 2) + 5 a) x = 0 b) x = 12 c) x = 1 12 d) infinitely many solutions

D)infinitely many solutions

Step-by-step explanation:

6x + 1 = 2(3x - 2) + 5

Distribute

6x+1 = 6x -4+5

Combine like terms

6x+1 = 6x+1

Subtract 6x from each side

6x-6x+1 = 6x-6x+1

1=1

This is always true, so x has infinite solutions

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.