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Schach [20]
3 years ago
15

What’s the value of y?

Mathematics
1 answer:
ratelena [41]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Since BD and AE are parallel lines, then

∠BDC = ∠AED ( corresponding angles ), thus

4x - 5 = 97 - 2x ( add 2x to both sides )

6x - 5 = 97 ( add 5 to both sides )

6x = 102 ( divide both sides by 6 )

x = 17, hence

∠AED = 97 - 2x = 97 - (2 × 17) = 97 - 34 = 63°

∠BDE and ∠AED are same side interior angles and are supplementary, thus

10y - 3 + 63 = 180

10y + 60 = 180 ( subtract 60 from both sides )

10y = 120 ( divide both sides by 10 )

y = 12 → D

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The answer should be 13.

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Find the value of x and y <br>&lt;1=(10x) <br>&lt;2=(10y+20)<br>&lt;3 =100 ​
Rufina [12.5K]

Answer:

  1. 100
  2. 80
  3. 100
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Step-by-step explanation:

We can use the vertical angle theorem to solve for most of this problem. We know that 1/3 will have the same measure and so will 4/2. We can create an equation to solve for 1 and 3.

10x = 100

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We aren't given angle 4 so we are going to have to solve that ourselves. We can create an equation knowing that 4 and 3 will create a supplementary angle.

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3 years ago
6. For what value of p, the binary number 110P/2 represents 25?​
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Step-by-step explanation:

25 as binary number is

11001

1×2⁴ + 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 16 + 8 + 1 = 25

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multiplying a binary number by 2 is the save effect as multiplying a normal decimal number by 10 : all digits move one position to the left, and a 0 is put into the empty right position.

and so, we see

110P = 110010

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so, the problem should have looked like

110P/10 = 11001

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-1,2

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2 years ago
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