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NARA [144]
3 years ago
8

Assemble the proof by dragging tiles to the statements and reasons columns

Mathematics
2 answers:
Elena L [17]3 years ago
5 0

Answer:


Step-by-step explanation:

Given: ∠2 and ∠4 are vertical angles.

To prove: ∠2≅∠4

Proof:

Statement                                                                               Reason

1. m∠2+m∠3=180°                                             ∠2 and ∠3 form a linear pair

2. m∠3+m∠4=180°                                             ∠3 and ∠4 form a linear pair

3. From statement 1 and 2, m∠2=m∠4

and they are vertical angles.                             lines  m and n intersect at p

Therefore,   ∠2≅∠4

Hence proved.      

mestny [16]3 years ago
3 0

Answer: 1) <2 and <4 are vert. angles=given

2)lines m and n intersect at P=def. of vertical angles

3)<2 and <3 are a linear pair=def. of a linear pair

4)m<2 + m<3=180 = angles addition postulate

5)<3 and <4 are a linear pair =def. of a linear pair

6)m<3 + m<4=180 = angle addition postulate

7)m<2+m<3=m<3+m<4 = substitution property

8)m<2=m<4 = subtraction property

9)<2=<4 = definition of = angles

Step-by-step explanation:

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What is the answer to 6x^2+17x+12=0 pls help me and I will help you back
Rina8888 [55]

Answer:

x=−4/3 or x=−3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

6x2+17x+12=0

Step 1: Factor left side of equation.

(3x+4)(2x+3)=0

Step 2: Set factors equal to 0.

3x+4=0 or 2x+3=0

x=−4/3 or x=−3/2

4 0
3 years ago
Carson needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fe
Naily [24]

Answer:

The y-intercept of the equation is 100 and represents the initial studio-use fee.

Step-by-step explanation:

In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.

Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.

P = 50(0) + 100

P = 100

Therefore the y-intercept is 100.

In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.

Hope this helped!

5 0
3 years ago
What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=|4+x|?
ivolga24 [154]
Translation to the left by 4 units
4 0
3 years ago
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What are the answers to this someone please help.
statuscvo [17]

1234567890233572o7o5y345uo22u.3936584643728284/43794729237932972478864966666666666666666666666666666666663870434573428734907 goood luck!

6 0
3 years ago
What happens to the mean of the data set {2, 4, 5, 6, 8, 2, 5, 6} if the number 7 is added to the data set?
konstantin123 [22]

Answer:

It increases

Step-by-step explanation:

The mean of the given data set of 8 values is 4.75 (\frac{2+4+5+6+8+2+5+6}{8})

Adding 7 into the data set also increase the number of data points to 9, so the mean becomes:\frac{2+4+5+6+8+2+5+6+7}{9}, which is equal to 5

Hope this helps

7 0
3 years ago
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