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OLEGan [10]
2 years ago
15

Identify the segments that are parallel, if any, if ∠DCB and ∠CDA are supplementary.

Mathematics
1 answer:
Triss [41]2 years ago
8 0

Answer:

C

Step-by-step explanation:

We are given that

\angleDCB and \angleCDA are supplementary.

We have to identify the parallel segments if \angleDCB and \angleCDA are supplementary.

Supplementary angles: If the angles are supplementary then the sum of two angles is 180 degrees.

Therefore,

\angle DCB+\angle CDA=180^{\circ}

Therefore, angle DCB and angle CDA are interior angles .

Because CA is a transversal line and sum of interior angles is 180 degrees.

When the sum of interior angles formed between two lines  and on same side of transversal line is 180  degrees. Then the lines are parallel.

Therefore, angle DCB and angle CDA are formed between line AD and BC.

Hence, AD is parallel to BC.

Option C is correct.

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The sum of three consecutive integers is 198. What are the​ integers?
-BARSIC- [3]

Answer:

The sum of three consecutive integers for 198 are <em>65, 66, and 67</em>

Definition of "INTEGERS"

1.  a whole number; a number that is not a fraction.

2. a thing complete in itself.

Step-by-step explanation:

198 = x + x + 1 + <em>x + 2</em>

combine like numbers

198 = 3x + 3

subtract 3 from like numbers (in this case)

198 - 3 = 3x + 3 - 3

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divide by 3

195/3 = 3x/3

65 = x

x + 1 = 65 + 1  ---66

x + 2 = 65 +2  --67

6 0
3 years ago
A merchant bought 1000 electric bulbs at the rate of Rs.150 each. 50 of them were broken on the way and the remaining he sold at
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Answer:

₹165.79

Step-by-step explanation:

Given:-

No. of electric bulbs = 1000

cost of each electric bulb = ₹ 150

No. of bulbs broken = 50

Selling price of each bulb = x

Profit percentage = 5%

To Find:-

The selling price of each bulb.

Solution:-

Cost price of 1000 electric bulbs,

= 1000 × ₹150

= ₹1,50,000

5% profit on the total cost price,

= {5}/{100}× ₹150000

= ₹7500

Total selling price = ₹157500

No. of bulbs remaining = 950

Therefore, selling price of each bulb,

= {₹157500}/{950}

= ₹165.79

Therefore,

Selling price of each bulb = ₹165.79

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The perimeter of a rectangle is 90 feet. If the length is 15 feet more than the width, what are the dimensions of the rectangle?
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Step-by-step explanation:

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Simplify (-2 + 3i) + 2(5 + 6i). Enter your answer in the form a + bi.
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We will have the following:

(-2+3i)+2(5+6i)=-2+3i+10+12i

=(10-2)+(3i+12i)=8+15i

So, the solution would be:

8+15i

3 0
1 year ago
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