HELPPP!!! find the value of each expression then answer the questions.
1 answer:
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<u>Given</u>:
Given that the triangles ABD and CAD are similar.
The length of AB is 12.
The length of BD is x.
The length of AC is 27.
We need to determine the value of x.
<u>Value of x:</u>
Let us use the leg rule to determine the value of x.
Thus, we have;
Substituting the values, we get;
Cross multiplying, we get;
Dividing both sides by 27, we have;
Thus, the value of x is
Hence, Option D is the correct answer.
The height of crate is 3 feet
<em><u>Solution:</u></em>
Given that Summer Dave builds a crate to hold vegetables
Volume of crate = 48 cubic feet
Base area of crate = 16 square feet
To find: height of crate
The crate is of shape cuboid
The volume of cuboid is given as:
We know that,
Therefore, volume becomes,
Substituting the given values we get,
Thus height of crate is 3 feet