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Ne4ueva [31]
2 years ago
13

Please help me with this homework question

Mathematics
1 answer:
castortr0y [4]2 years ago
5 0

Answer:

∠ADB≅∠ABC by the Alternate Interior Angles Theorem

∠CAD≅∠ACB by the Alternate Interior Angles Theorem

∠BAD and ∠ADV are supplementary by the Consecutive Interior Angle Theorem

∠ABC and ∠BCD are supplementary by the Consecutive Interior Angle Theorem

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What is the sum of two consecutive even integers divided by four is 189.5?
mixas84 [53]
Let us denote the smaller even integer by N.
Then, the next even integer must be N+2.

To verify, set N as any even number, say 174.
Then, the next even integer must be 2 more than this number, i.e. 174+2=176.

The sum of these two consecutive even integers can be expressed as:
                                    N+(N+2)=2N+2

We are told that this sum divided by four is 189.5, i.e.
                                     (2N+2)\div4=189.5

Multiplying both sides by 4 will reverse the division:
     (2N+2)\div4\times4=189.5\times4
     (2N+2)\times1=758

Subtracting 2 from each side will reverse the addition:
     2N+2-2=758-2
     2N=756

Dividing both sides by 2 will reverse the multiplication:
     2N\div2=756\div2
     N=378

Therefore, the two consecutive integers must be 378 and 380.

Check this:
     (378+380)\div4=758\div4=189.5
3 0
3 years ago
How do you find the equations of the vertical and horizontal asymptotes for a graph when you only have the graph and no function
-BARSIC- [3]

Answer:

See below for answer and explanations (as well as an attached graph)

Step-by-step explanation:

Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.

Take for example y=\frac{1}{x}:

  • As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptote
  • As y approaches ∞ and -∞, then x approaches 0, which is our vertical asymptote

See the graph for a visual.

8 0
2 years ago
If point (1,0) is on the line whose equation is y = 2x + b what is the value of b ? Give Explanation
goldenfox [79]

Answer:

-2

Step-by-step explanation:

The x value is 1, and the y value is 0. Substitute these values into the equation.

y=2x-2

<u>Hope this helps :-)</u>

<u />

6 0
2 years ago
2^5×5×11 and 2^3×5^2×7​
IceJOKER [234]

Answer:

1. 1760

2. 1400

Step-by-step explanation:

2^5 = 32

32 × 5 = 160

160 × 11 = 1760

2^3 = 8

5^2 = 25

8 × 25 = 200

200 × 7 = 1400

4 0
3 years ago
Id.k why they removed my last question so here's a question
kondor19780726 [428]

Answer:

a= 2

Step-by-step explanation:

2 x 2=4

7-4=3

8 0
3 years ago
Read 2 more answers
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