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Llana [10]
3 years ago
9

Please help me withe this proof as well.​

Mathematics
1 answer:
baherus [9]3 years ago
4 0

- D is the midpoint of AB, E is the midpoint of BC

Answer: A. Given

I left off DB||FC because that's not given.  But we can construct it.

Construct line through C parallel to AB.  Extend DE to intersect and call the meet F.

- DB || FC

By Construction

----

- Angle B congruent to angle FCE

Answer: D. Alternate Interior Angles

We have transversal BC across parallel lines AB and CF, so we get congruent angles ABC and FCB aka FCE

- angle BED congruent to angle CEF

Answer: H. Vertical angles are congruent

When we get lines meeting like this we get the usual congruent and supplementary angles.

- Triangle BED congruent to Triangle CEF

Answer: F. Angle Side Angle

We have BE=CE, DBE=FCE, BED=CEF

- DE congruent to FE and DB congruent to FC

Answer: C. CPTCTF

Corresponding parts ...

- AD congruent to DB and DB congruent to FC therefore AD congruent to FC

Answer: E. Transitive Property of Congruent

Things congruent to the same thing are congruent

- ADFC is a parallelogram

Answer: G.  AD and FC are congruent and parallel

Presumably this is a theorem we have already established.

- DE || AD

Answer: B. Definition of a parallelogram

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Step-by-step explanation:

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Use substitution to solve the system of equations.<br><br><br> 28 = x – 7y<br> –3x + 9 =4y
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Read 2 more answers
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solut
Inessa05 [86]

The equation is 0.1x + 0.15(50-x)=1.20(50)

Step-by-step explanation:

Here you need 50ml of 12% alcohol solution.

You have 10% and 15% alcohol solutions.

Take volume of 10% alcohol solution to be x ml

Take volume of 15% alcohol solution to be y ml

Form equations;

x+y=50 ml--------------------------equation 1

0.1x +0.15 y= 12% of 50

0.1x+0.15y=6-----------------------equation 2

Now you have simultaneous equations, use a graph tool to solve for values of x and y as attached.

or use the mixture equation the get value of x

0.1x + 0.15(50-x)=1.20(50)

The values of x and y are ;

(x,y) (30,20) which means;

y is 20 ml of 15% alcohol

x is 30 ml of 10% alcohol

Learn More

  • brainly.com/question/2405496

Keywords : concentration, mixture

#LearnwithBrainly

5 0
3 years ago
Can you help me with these algebra problems please
DiKsa [7]

Answer:

4

Step-by-step explanation:

3*10=10+5s

30 = 10 + 5s

30-10 = 5s

or, 20/5= s

or, 4 =s

therefore the value of s is 4.

thank you

6 0
3 years ago
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