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Row 1: What is the value of x? 1 or 3.5 or neither or bothRow 2: What is the m

Row 1: What is the value of x? 1 or 3.5 or neither or bothRow 2: What is the m-example-1
Row 1: What is the value of x? 1 or 3.5 or neither or bothRow 2: What is the m-example-1
Row 1: What is the value of x? 1 or 3.5 or neither or bothRow 2: What is the m-example-2
User Drahakar
by
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1 Answer

4 votes

Answer:

Row 1: 3.5

Row 2: 35

Row 3: Both

Step-by-step explanation:

The sum of ∠YAB and ∠BAZ is 90°, so we can formulate the following equation:

m∠YAB + m∠BAZ = 90

(16x - 1) + (8x + 7) = 90

So, solving for x, we get:

16x - 1 + 8x + 7 = 90

24x + 6 = 90

24x + 6 - 6 = 90 - 6

24x = 84

24x/24 = 84/24

x = 3.5

Then, the value of x is 3.5

Therefore, the m m∠BAZ = 8x + 7

m∠BAZ = 8(3.5) + 7

m∠BAZ = 28 + 7

m∠BAZ = 35

So, m∠BAZ is 35.

Finally, the m∠XAB can be calculated as the sum of ∠XAY and ∠YAB, so:

m∠XAB = m∠XAY + m∠YAB

m∠XAB = 90 + (16x - 1)

m∠XAB = 90 + 16(3.5) - 1

m∠XAB = 90 + 56 - 1

m∠XAB = 145

So, both angles measures are accurate, m

User Osmond Bishop
by
8.8k points

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