Respuesta :

Answer:

Question 5

We get n=42.15 and o=71.5

Question 6

We get e=15.32 and t=17.88

Step-by-step explanation:

Question 5

The triangles are similar.

So, the ratio of corresponding sides will be similar.

[tex]\frac{53}{n}=\frac{88}{70}=\frac{90}{o}[/tex]

First we will solve [tex]\frac{53}{n}=\frac{88}{70}[/tex] to find value of n.

Cross multiply

[tex]53*70=88*n\\n=\frac{3710}{88}\\n=42.15\\[/tex]

Now, we will solve [tex]\frac{88}{70}=\frac{90}{o}[/tex] to find value of o

[tex]88*o = 90*70\\o=\frac{6300}{88}\\o=71.5\\[/tex]

So, We get n=42.15 and o=71.5

Question 6

The triangles are similar.

So, the ratio of corresponding sides will be similar.

[tex]\frac{9.6}{e}=\frac{5.7}{9.1}=\frac{11.2}{t}[/tex]

First we will solve [tex]\frac{9.6}{e}=\frac{5.7}{9.1}[/tex] to find value of n.

Cross multiply

[tex]9.1*9.6=e*5.7\\e=\frac{87.36}{5.7}\\e=15.32\\[/tex]

Now, we will solve [tex]\frac{5.7}{9.1}=\frac{11.2}{t}[/tex] to find value of o

[tex]5.7*t = 11.2*9.1\\t=\frac{101.92}{5.7}\\t=17.88\\[/tex]

So, We get e=15.32 and t=17.88