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ra1l [238]
4 years ago
12

What would be the reason for the second and third line of the proof?

Mathematics
1 answer:
Finger [1]4 years ago
7 0

Answer:

Because alternate exterior angles are congruent

Step-by-step explanation:

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Paul has 2/3 as many postcards as Shawn. The number of postcards Shawn has is 4/5 of the number of postcards Tim has. If the thr
ahrayia [7]

Tim has 56 more postcards than Paul.

Step-by-step explanation:

Total postcards boys have = 280

Let,

x = Paul's postcards

y = Shawn's postcards

z = Tim's postcards

According to given statement;

x + y + z = 280      Eqn 1

x=\frac{2}{3}y                   Eqn 2

y = \frac{4}{5}z                   Eqn 3

Putting value of y from Eqn 3 in Eqn 2

x=\frac{2}{3}*\frac{4}{5}z\\\\x=\frac{8}{15}z            Eqn 4

Putting value of x and y from Eqn 4 and Eqn 3 in Eqn 1

\frac{8}{15}z+\frac{4}{5}z+z=280\\\\\frac{8z+12z+15z}{15}=280\\\\\frac{35z}{15}=280\\\\

Multiplying both sides by \frac{15}{35}

\frac{15}{35}*\frac{35}{15}z=280*\frac{15}{35}\\z=120

Putting z=120 in Eqn 3

y=\frac{4}{5}*120\\y=96

Putting y=96 in Eqn 2

x=\frac{2}{3}*96\\x=64

Difference of Tim and Paul = 120-64 = 56

Tim has 56 more postcards than Paul.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10557938
  • brainly.com/question/10600222

#LearnwithBrainly

7 0
3 years ago
Find the value of k so that the differential equation is exact, and find the general solution
N76 [4]
Kgsgvxdf vfsvb vbbddv uvc
6 0
3 years ago
How do I do this again ?
AVprozaik [17]

The formula for the area of a trapezoid is a=1/2(b1+b2)h

So 10*5 = 50 *4 = 200 then divided by 2 is 100 so the answer is 100

7 0
4 years ago
What is the domain and range of the following graph?
puteri [66]

Using it's concepts, the domain and the range of the graph are given as follows:

  • Domain: all real values except x = -1.
  • Range: All real values.

<h3>What are the domain and the range of a function?</h3>

  • The domain of a function is the set that contains all the values of the input. In a graph, it is given by the values of x, which is the horizontal axis of the graph.
  • The range of a function is the set that contains all the values of the output. In a graph, it is given by the values of y, which is the vertical axis of the graph.

In this graph, have that the function is defined for all values of x except x = -1, and assumes all real values, hence the domain and the range of the graph are given as follows:

  • Domain: all real values except x = -1.
  • Range: All real values.

More can be learned about the domain and the range of a function at brainly.com/question/10891721

#SPJ1

6 0
2 years ago
Factorise 8x+12<br> ffffffffffdfffdfdfd
bagirrra123 [75]
Answer:
Factor out 4 out 8x-12
= 4(2x-3)
7 0
3 years ago
Read 2 more answers
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