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3 years ago

PLEASE HELP!!

Mathematics

1 answer:

Inessa05 [86]3 years ago

5 0

Answer:

a.) The dilation is a contraction

b.) The scale factor is $\frac{6}{8} = \frac{3}{4} = 0.75$ which is less than 1

c.) $\frac{TA}{TR} = \frac{3.33}{TR} = 0.75 \hspace{0.2cm} \Rightarrow \hspace{0.2cm} TR = \frac{3.3}{0.75} \hspace{0.2cm} \Rightarrow \hspace{0.2cm} TR = 4.4 cm.$

$\therefore TR = TA + AR \hspace{0.2cm} \Rightarrow \hspace{0.2cm} AR = 4.4 - 3.3 = 1.1 cm$

d.) $\frac{TN}{TI} = \frac{TN}{TN + 1.6} = 0.75 \hspace{0.1cm} \Rightarrow \hspace{0.1cm} 1.33TN = TN + 1.6 \hspace{0.1cm} \Rightarrow \hspace{0.1cm} 0.33TN = 1.6 cm. \hspace{0.1cm}$

Therefore TN = 4.8 cm

Step-by-step explanation:

a.) The dilation is a contraction

b.) The scale factor is $\frac{6}{8} = \frac{3}{4} = 0.75$ which is less than 1

c.) $\frac{TA}{TR} = \frac{3.33}{TR} = 0.75 \hspace{0.2cm} \Rightarrow \hspace{0.2cm} TR = \frac{3.3}{0.75} \hspace{0.2cm} \Rightarrow \hspace{0.2cm} TR = 4.4 cm.$

$\therefore TR = TA + AR \hspace{0.2cm} \Rightarrow \hspace{0.2cm} AR = 4.4 - 3.3 = 1.1 cm$

d.) $\frac{TN}{TI} = \frac{TN}{TN + 1.6} = 0.75 \hspace{0.1cm} \Rightarrow \hspace{0.1cm} 1.33TN = TN + 1.6 \hspace{0.1cm} \Rightarrow \hspace{0.1cm} 0.33TN = 1.6 cm. \hspace{0.1cm}$

Therefore TN = 4.8 cm

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