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My name is Ann [436]
3 years ago
8

Find measure of angles B, E, D and C and the length of BC.

Mathematics
2 answers:
melomori [17]3 years ago
6 0

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

choli [55]3 years ago
5 0

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

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if there are 200 questions and 4 marks for correct answers and -1 for incorrect answer and total marks is 250then what is the nu
Zanzabum

The number of questions answered correctly = 90.

<h3>What is a system of linear equations?</h3>
  • A system of linear equations is a set of two or more linear equations.
  • Linear equations refer to the equations that involve two or more variables in the form of "ax + b".

Now,

Given:

  • Total number of questions = 200
  • Marks for correct answer = 4
  • Marks for incorrect answer = -1
  • Total marks = 250

To find : Number of correct answers = ?

Finding:

Now, assuming that the student attempted and answered all the questions,

  • Let the number of questions correctly answered be x and incorrectly answered be y.

Then,

  1. x + y = 200 (For number of questions) (eqn 1)
  2. and 4x - y = 250 (For the marks scored) (eqn 2)

Solving the system of linear equations:

For eqn 2, we get that y = 4x - 250

Substituting in eqn 1, we get:

=> x + 4x - 250 = 200

=> 5x = 250 + 200 = 450

=> x = 90

That is, the number of questions answered correctly = 90, the incorrect answers = 200 - 90 = 110.

To learn more about system of linear equations, refer to the link: brainly.com/question/2226590

#SPJ4

8 0
1 year ago
Is 3+2(2p+4t) equivalent to 4p+12t+6.
hammer [34]
\left[p \right] = \left[ -1.5 - 3.0\,t\right][p]=[−1.5−3.0t] is 3+2(2p+4t) equivalent
5 0
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Find the perimeter of triangle ABC.<br><br><br> A. 10<br> B. 31<br> C. 47<br> D. 78
Alchen [17]

Answer: 10

Step-by-step explanation:you say they are equal (seems right )

7 0
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2(3x – 1) = 6x – 2 <br> has any solutions ?
sergejj [24]

Answer:

x=0

Step-by-step explanation:

2(3x-1)=6x-2

6x-2=6x-2

then plus two on both sides

6x=6x

x=0

6 0
3 years ago
How many significant figures are in the measurement 1.050 L
Lostsunrise [7]
The are four significant figures.
7 0
4 years ago
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