antonioserika
Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

please answer someone!! I need this asap!!!​This is in similarity! I need to find the lengths marked by the letter

Please Answer Someone I Need This AsapThis Is In Similarity I Need To Find The Lengths Marked By The Letter class=

Sagot :

MrRoyal

Answer:

[tex]H = 59.4[/tex]

Step-by-step explanation:

The question is an illustration of dilation.

From the small shape, we have:

[tex]Body = 3[/tex]

[tex]Height = 2.2[/tex]

From the big shape, we have:

[tex]Body = 81[/tex]

Height = ??

Because it is a dilation, the ratio of the bodies must be equal to the ratio of the heights

i.e.

[tex]Body_{Small} : Body_{Big} = Height_{Small} : Height_{Big}[/tex]

Substitute the right values

[tex]3 : 81 = 2.2 : H[/tex]

Express as fraction

[tex]\frac{3}{81} = \frac{2.2}{H}[/tex]

[tex]\frac{1}{27} = \frac{2.2}{H}[/tex]

Make H the subject

[tex]H = 2.2 * 27[/tex]

[tex]H = 59.4[/tex]

Hence, the height of the big shape is 59.4 units

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.