<u>Given</u>:
Given that the triangles ABD and CAD are similar.
The length of AB is 12.
The length of BD is x.
The length of AC is 27.
We need to determine the value of x.
<u>Value of x:</u>
Let us use the leg rule to determine the value of x.
Thus, we have;
Substituting the values, we get;
Cross multiplying, we get;
Dividing both sides by 27, we have;
Thus, the value of x is
Hence, Option D is the correct answer.
Answer:
-3
Step-by-step explanation:
the y-intercept is where the line crosses the y-axis
So basically each of the tile sides measure one foot, since one foot = 12 inches.
We will call one of the tiles a unit.
And since the room is 14 feet by 10 feet, we can multiply the two dimensions together to see how many units fit into the room.
14 * 10 = 140
And so now we know that we need 140 tiles.
And since each tile costs $1.25, we can multiply that by 140 to get the total cost.
1.25 * 140 = $175
So it will cost Emma $175 to complete her project.