The answers is A x=4.5y because for whatever y is you multiply it by 4.5 and it gives you your x. Trust me. They all match too; I checked.
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The correct option is A.
<h3>What are vertical angles?</h3>
Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
The proof can be completed as,
Given the information in the figure where segment UV is parallel to segment WZ.: Segments UV and WZ are parallel segments that intersect with line ST at points Q and R, respectively. According to the given information, segment UV is parallel to segment WZ, while ∠SQU and ∠VQT are vertical angles. ∠SQU ≅ ∠VQT by the Vertical Angles Theorem. Because ∠SQU and ∠WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠VQT is congruent to ∠WRS by the Transitive Property of Equality.
Hence, the correct option is A.
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The value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
<h3>What is an Equation?</h3>
An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given that;
- √( 1 + (25/144) ) = 1 + (x/12)
First, we square both sides
√( 1 + (25/144) ) = 1 + (x/12)
(√( 1 + (25/144) ))² = (1 + (x/12))²
1 + (25/144) = 1 + ( x²/144)
Collect like terms
1 - 1 + (25/144) = ( x²/144)
25/144 = x²/144
We cross multiply
25 × 144 = x² × 144
Multiply each sides by 1/144
x² = 25
x = √25
x = 5
Therefore, the value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.
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Answer:
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