On Planet Galactica, common units of distance are alpha, beta, and gamma. 4 gammas equal 5 betas. 2 betas equal 3 alphas. How many alphas equal 1 gamma?

1 gamma = 15/8 alphas

Step-by-step explanation:

so we start by finding out what 1 gamma and 1 beta equals.

we know 4 gammas = 5 betas so if we divide by four on both sides we get:

1 gamma = 5/4 betas. we can apply that same procedure to 2 betas = 3 alphas and get 1 beta = 3/2 alphas

we know that 1 gamma = 5/4 betas and 1 beta = 3/2 alphas so how many alphas = 5/4 betas? using a proportion of ((3/2)/1) = ((x)/(5/4)) we can find that 5/4 betas = 15/8 alphas

therefore we know 1 gamma = 15/8 alphas or 1 and 7/8 alphas

step-by-step explanation:

sry but any answer choices

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.