Which graph shows a proportional relationship in which the value of y is one-half of the value of x?

The graph is shown below.

Step-by-step explanation:

Given:

The relationship between the variables 'x' and 'y' is proportional relationship.

A proportional relationship is of the form:

Where 'm' is called the constant of proportionality and also the slope of the line

Now, it is given that 'y' is one-half of the value of 'x'. Framing it in equation form, we get:

So, the slope of the line is

Slope is nothing but rise over run. Run is parallel the x-axis and rise is parallel to the y-axis.

Now, a proportional relationship always passes through the origin.

So, in order to get slope equal to one-half, we need to move 2 units along the x-axis from the origin and then 1 unit parallel to y-axis to get to the next point. The point is (2, 1).

Now, we draw a line passing through the origin and (2, 1) which is the required of the given proportional relationship.

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.