Question

Helppppppppppp test helppppp for today plssss help 6 and 7

Answer 1

7)

The triangles ABC and JGH are similar figures.

For two figures to be simmilar, the coresponding angles must be congruent and the corresponding sides must be proportional.

For these triangles:

The corresponding sides of the simimilar figures are proportional, you can express this as:

$\frac{JH}{AC}=\frac{JG}{AB}=\frac{GH}{BC}$

This expression indicates that the proportion between the corresponding sides is the same for all three pairs of sides. Using this information, we can determine the value of side GH

The proportion between the corresponding sides of the triangles is:

$\frac{JH}{AC}=\frac{5.8}{11.6}=\frac{1}{2}$

Now calculate GH as:

$\begin{gathered} \frac{GH}{BC}=\frac{1}{2} \\ \frac{x}{6}=\frac{1}{2} \\ x=(\frac{1}{2})\cdot6 \\ x=3 \end{gathered}$

Now the corresponding angles of the similar figures must be congruent, i.e. have the same measure so that:

$\begin{gathered} \angle A=\angle J=31º \\ \angle C=\angle H=59º \end{gathered}$

So a and y are

x=3

y=59º