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Ahat [919]
3 years ago
13

The second angle in a triangle is one third as large as the first. The third angle is two thirds as large as the first. Find the

angle measures.
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0
First angle 90 degrees

Second angle 30 degrees

Third angle 60 degrees
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Which value of x would make this equation true? 4x-10=18
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Read 2 more answers
The combined area of two squares is 45 square centimeters.each side of one square is twice as long as the side of the other .wha
serg [7]
Formula of square area
a = s²
thus, area of the first square could be written as s₁² and area of the second square could be written as s₂²

First, write an expression in the form of equation system
An expression for "The combined area of two squares is 45 square centimeters" is:
⇒ s₁² + s₂² = 45 <em>(first equation)</em>
An expression for "Each side of one square is twice as long as side of the other" is:
⇒ s₁ = 2s₂ <em>(second equation)</em>

Second, solve the equation system by substitution method.
⇒ We could substitute 2s₂ to s₁ (second equation) in the first equation in order to find the value of s₂
s₁² + s₂² = 45
(2s₂)² + s₂² = 45
(2²)(s₂)² + s₂² = 45
4s₂² + s₂² = 45
5s₂² = 45
s₂² = 45/5
s₂² = 9
s₂² = 3²
s₂ = 3

⇒ Substitute the value of s₂ to the second equation in order to find the value of s₁
s₁ = 2s₂
s₁ = 2(3)
s₁ = 6

The length of each side of the larger square is 6 centimeters
3 0
4 years ago
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