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GalinKa [24]
2 years ago
11

Given:

Mathematics
2 answers:
Angelina_Jolie [31]2 years ago
4 0

Answer:

The correct match of statement with reasons is below.

Step-by-step explanation:

1. AB||DC and AB = CD                   Given

2. ∠1 = ∠4                                        If lines are parallel, then alternate interior

                                                         angles are equal.

3. AC=AC                                        Reflexive

4.Triangle ABC is                           SAS

congruent to triangle CDA.

5. ∠2 = ∠3                                      CPCTE.      

<em>Hope I helped :3</em>

maria [59]2 years ago
3 0

Answer:

The correct match of statement with reasons is below.

Step-by-step explanation:

1. AB||DC and AB = CD                   Given

2. ∠1 = ∠4                                        If lines are parallel, then alternate interior

                                                        angles are equal.

3. AC=AC                                        Reflexive

4.Triangle ABC is                           SAS

congruent to triangle CDA.

5. ∠2 = ∠3                                      CPCTE.      

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I NEED HELP IDENTIFYING THE SLOPE PLEASE !!! Pic attatched !!!!
Alexus [3.1K]

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = 2,4 ) and (x₂, y₂ ) = (5, 1)

m = \frac{1-4}{5-2}  = \frac{-3}{3} = - 1 ← negative slope

Repeat

with (x₁, y₁ ) = - 7,8) and (x₂, y₂ ) = (- 7, 0)

m = \frac{0-8}{-7+7} = \frac{-8}{0}

Division by zero is undefined, thus slope is undefined.

Repeat with

(x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (- 4, - 3)

m = \frac{-3+3}{-4-6} = \frac{0}{-10} = 0 ← zero slope

Repeat with

(x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 1, 2)

m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4} ← positive slope

7 0
2 years ago
Any help. (5 marks)
anyanavicka [17]

Population of England in 2003 = 383 * 130,281 = 49,897,623

In 2008 this is 0.84 * 61,000,000 = 51,240,000

Increase = 51,240,000 - 49,897,623 = 1,342,377

Answer is 1,300,000 to 2 significant figures.

6 0
2 years ago
Find the exact solution to the equation. Show your work plz
mina [271]
I am sending more pictures so you can see how I got the answer

7 0
3 years ago
The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds ca
Anni [7]

Considering the period of the cosine function, it is found that it takes 40 seconds for the wheel to complete one turn.

<h3>What is the period of the cosine function?</h3>

The cosine function is defined by:

f(x) = acos(bx + c) + d.

For the period, we have to look at coefficient b, and the period is:

P = 2π/|B|

For this problem, the function is given by:

h(x) = 15 cos(π/20)

Hence B = π/20, and the period is:

P = 2π/|B| = 2π/(π/20) = 2 x 20 = 40 seconds.

Hence it takes 40 seconds for the wheel to complete one turn.

More can be learned about the period of trigonometric functions at brainly.com/question/12502943

#SPJ1

7 0
1 year ago
Hye Lim drank 4/3 gallons of water in 11/2 hours. At this rate, how long will it take her to drink 4 gallons of water
attashe74 [19]
4/3=1.33 of a gallon

11/2=5.5 hours

4÷1.33=3.008

3.008×5.5=16.544

16.5 hours
4 0
2 years ago
Read 2 more answers
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