Use the diagram below to find the lengths of the missing sides. Figures in each diagram are similar. X=15
X=10
X=40
X=30

DE/AB=DF/AC

10/5=DF/15

=10×15=5DF

=150=5DF

DF=150÷5

=30

Step-by-step explanation:

There is some mistake in your question.

We know:

In any triangle with sides a, b and c:

a + b > c

a + c > b

b + c > a

In your question the triangle ABC has:

a = 5, b = 10, c = 15

then

5 + 10 = 15 not > 15.

a + b = c not > c.

In my opinion, the question makes no mathematical sense.

Nevertheless, the moderator asked me to correct my answer.

If two triangles are similar, then corresponding sides are in proportion.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)