Answer:
x = 28
Step-by-step explanation:
Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.
Thus,
<AOD = <BOC
<AOD = 152°
<BOC = 3x + x + (x + 12) (angle addition postulate)
<BOC = 5x + 12
Since <AOD = <BOC, therefore,
152° = 5x + 12 (substitution)
152 - 12 = 5x (subtraction property of equality)
140 = 5x
140/5 = x (division property of equality)
28 = x
x = 28
<h2><u>
Answer: 6:10</u></h2>
Step-by-step explanation: 6:10 = 0.6 and 8:15 ≈ 0.53
Based on the calculations, the ratio of AD to DB is equal to 0.6.
<h3>What is a ratio?</h3>
A ratio is a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
From the graph, we have:
Length of AD = 1.5
Length of DB = 2.5
Ratio = AD/DB
Ratio = 1.5/2.5
Ratio = 0.6.
Read more on ratio here: brainly.com/question/13513438
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Answer:
4.5
Step-by-step explanation:
4x+6 = 6x-3
3+6 = 6x-4x
9 = 2x
X =4.5
