The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram

A student writes a proof to show that the corresponding angles, A and B, are congruent. The student's proof is shown below

A. Both reason 2 and Reason 3 are correct as shown in the table
B. Reason 2 is correct, but Reason 3 should "Alternate interior angles are congruent"
C. Reason 2 should be "Alternate interior angles are congruent," but Reason 3 is correct
D. Both Reason 2 and Reason 3 should be "Alternate interior angles are congruent"

(look at picture to understand better)

Answer:

D

Step-by-step explanation:

Got it right on test

Answer: The answer is letter B or letter D

D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Step-by-step explanation:  Find the degree of the function to determine if linear.  f ( x ) =  − 18 x 2 − 21 x − 6  is not a linear function

Expand the polynomial using the FOIL method.  f ( x ) =  − 18 x 2 − 21 x − 6

[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]

Answer:

Improper fraction = 19/3

Step-by-step explanation:

To convert to improper fraction;

1.) multiply the denominator with the whole number,

2.) then add the number you got with the numerator (this will be you new numerator)

3.) keep the denominator the same for the new fraction

Hope this helps!

Hello!

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4 3/4

First, we multiply the whole number by the denominator:

16

Then, we add the numerator:

19

19 is the numerator for our fraction.

Now, the denominator stays the same:

[tex]\frac{19}{4}[/tex] is our answer. Hope it helps you!

~SparklingFlower

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Answer:

your answer is C

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

It is asking how many people have MORE than two fish. Not two fish.

15 + 3 + 2 = 20

Answer:

Step-by-step explanation:

a

Answer:

120 : 5 = 24 suy ra 24 x 7,5 = 180

Step-by-step explanation:

Answer:

-48

Step-by-step explanation:

2x3y

\/

2(-2) * 3(4)

\/

-4 * 12

\/

-48

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer: -48

Step-by-step explanation:

2(-2)3(4) = -4*12 = -48

Answer:

12 meters sq

Step-by-step explanation:

area= length x width

area= 3x4

area=12 meters sq

Answer: Slope formula: m = y2 - y1/ x2 - x1

2 - (-2)/ 1 - 0

2 + 2/1

4/1

Slope = 4

Would appreciate brainly <3

Answer:

493/40

i tried my best on it

Answer:

493 /40

Step-by-step explanation:

(12.325 × 100) /  (1 × 1000)  =  

=12325/ 1000

Answer:

Step-by-step explanation:

= > -6x + 30 < - 18

= > 30 + 18 < 6x

= > 48 < 6x

= > x > 48/6

= > x > 8...ans

Answer:

San Francisco

Step-by-step explanation:

The cost per mile in San Francisco is 0.45 per mile, whereas it is 0.40 in New York

Answer:

D: Both the slopes and the y-intercepts are the same.

Answer:

its the same

Step-by-step explanation:

the slope is -2 and the y-intercept is (0,3)

Answer:

you sold fewer than 100 tickets. you only sold 50 tickets out of your 100 ticket goal.

Based on the information given the percentage of the brown geese that are heterozygous is 48%.

Random sample = 250

Brown color = 210

Gray color = 250 - 210 = 40

First step is to calculate the proportion of a alleles in the population

Proportion (a alleles)=√40/250

Proportion (a alleles)= √0.16

Proportion (a alleles)= 0.4

Second step is to calculate the proportion of A alleles in the population

p(A) = 1 - 0.4

p(A)= 0.6

Third step is to calculate brown heterozygous percentage using this formula

Brown heterozygous percentage=2pq(Aa)

Let plug in the formula

Brown heterozygous percentage= 2 x 0.6 x 0.4

Brown heterozygous percentage= 0.48 ×100

Brown heterozygous percentage= 48%

Inconclusion  the percentage of the brown geese that are heterozygous is 48%.

Learn more here:https://brainly.com/question/2632209

Answer:

24 R1

Step-by-step explanation:

Answer:

The width of the door to be 39.10 ft, and the height to be 40.7 feet.

Answer:

The answer is true.

Step-by-step explanation:

Answer:

Step-by-step explanation:

8^4  is the same as 8·8·8·8

The exponent 4 means that 8 will be multiply by itself four time.

Answer:

4096

Step-by-step explanation:

hope this helps=)

Answer:

50.24 cm

Step-by-step explanation:

50.24 cm

2

Explanation:

Using the formula,

Area

=

π

×

r

2

Here

π

is a button on your calculator you can find, but is also generally known as  

3.14

, you can use either one, but teachers usually prefer you use the  

π

button.

r

=

the radius, in your case, it's  

4 cm

So

Area

=

π

×

r

2

=

π

×

(

4 cm

)

2

=

16

π

cm

2

≈

50.24 cm

2

(Biology) the state or quality that distinguishes living beings or organisms from dead ones and from inorganic matter, characterized chiefly by metabolism, growth, and the ability to reproduce and respond to stimuli.

Answer:

The answer for this question would be 1.5 goes to the top of 1. Absoute value of -4.5 goes to the bottem of -4 . -2 goes on the -2 point . oppsite of 4 is -4.

Absoulte value of 1 is 1. 2.5 below sea level is under 2. Greatest common factor of 8 and 12 is 4. -(-3) is 3. Opposite of -5 is 5.

Step-by-step explanation:

Answer:

points:

1.5

4.5

-2

-4

1

-2.5

4

3

-3.5

5

Step-by-step explanation:

Answer:

4 better inbox

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = mx + b for line through (7, 4) and perpendicular to -5x + 9y = - 71

perpendicular lines have negative reciprocal slopes

-5x + 9y = - 71

9y = 5x - 71

y = (5/9)x - 71/9

so a perpendicular line will have slope -9/5

y = (-9/5)x + b

plug in our desired point

4 = (-9/5)7 + b

4 = -63/5 + b

20/5 = -63/5 + b

b = 83/5

y = (-9/5)x + 83/5

5y = -9x + 83

Answer:

Step-by-step explanation:

Zero's of the function are the points of intersection of the graph with the x-axis.

From the picture we see zeros:

Zeros are

[tex]\\ \sf\longmapsto (-4,0)U(0,0)U(2,0)[/tex]

Using the exponential distribution, it is found that there is a 0.4462 = 44.62% probability that a customer waits less than 39 seconds.

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

In this problem, mean of 66 seconds, hence, the decay parameter is:

[tex]\mu = \frac{1}{66}[/tex]

The probability that a customer waits less than 39 seconds is:

[tex]P(X \leq 39) = 1 - e^{-\frac{39}{66}} = 0.4462[/tex]

0.4462 = 44.62% probability that a customer waits less than 39 seconds.

A similar problem is given at https://brainly.com/question/17039711

Answer:

-2x - 2

Step-by-step explanation:

-2(x + 1)

Therefore, the answer is -2x - 2.

Answer:

-2x - 2

Step-by-step explanation:

Simplify:

-Chetan K