Answer:
6cm
Step-by-step explanation:
Volume of cuboid = length × breadth × height
Length = x
Breadth = 4cm
Height = 5cm
Volume = 120cm³
Volume = 4 × 5 × x
120 = 20x
Divide both sides by 20
20x/20 = 120/20
x = 6cm
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The theorems used are:
First blank: side-angle-side theorem
Second blank: CPCTC
Third blank: 200 feet
Fourth blank: 1,700 feet.
<h3>What is the Side-angle-side Congruence Theorem (SAS):</h3>
Wen two triangles have a pair of included congruent angles and two pairs of corresponding congruent sides, then both triangles are congruent to each other by the side-angle-side theorem.
Furthermore, if two triangles are known to be congruent to each other, the CPCTC states that "corresponding parts of corresponding triangles are congruent". This means all angles and all sides that corresponds to each other are congruent.
Therefore:
Using the <u>side-angle-side theorem</u> it can be shown that the two triangles are congruent to each other.
Then using <u>CPCTC </u>, the length of the road from the intersection to the first turn would be <u>200 feet.</u>
The total length of the tour would be = 2(200 + 300 + 350)
= 1,700 feet.
Learn more about the side-angle-side theorem on:
brainly.com/question/10617589
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The height of the dollhouse on the plans will be 6.5inches