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valkas [14]
3 years ago
11

PLEASE HELP

Mathematics
1 answer:
Scrat [10]3 years ago
5 0

Answer:

ΔBDC ≅ ΔFDE

Step-by-step explanation:

The proof is given below

<u>To prove ΔBDC ≅ ΔFDE </u>

Statements                           reasons

1). BC║EF                         -  Given

2).  D is the mid point         - Given

3). BD = DF                        - Definition of midpoint

4). <BDC = <FDE               - Vertically opposite angles are equal

5).  <CBD = <DFE              - alternate interior angles of parallel lines are                                      

                                               congruent

6). ΔBDC ≅ ΔFDE                 ASA rule

Therefore ΔBDC ≅ ΔFDE. Hence the proof.

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8 0
3 years ago
Please give me the correct answer ​
Serjik [45]

Answer:

2nd

Step-by-step explanation:

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3 0
3 years ago
71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142. The variance of this data set is?
adoni [48]

Answer:

636.41818

Step-by-step explanation:

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7 0
3 years ago
Principal==12,000 interest is 5.6%..for 5 years.how much interest will I pay.​
Keith_Richards [23]

Answer:

Step-by-step explanation:

IF Simple interest; Simple Interest formula would be

<em>S.I = Principal *rate * time</em>

Principal = 12,000

rate = 5.6% or 0.056 as a decimal

time = 5 years

therefore S.I = 12,000 * 0.056 * 5

S.I = 3,360

Therefore, based on simple interest, you will pay $3,360 in interest.

IF Compound interest, the formula would be;

Compound interest = [ Principal *(1+rate )^t ] - Principal

= [ 12,000*(1+0.056)^5 ] -12,000

= [12,000*1.313165883] - 12,000

=15,757.9906 -12,000

= 3,757.9906

Therefore, based on compounding, you will pay $3,757.9906 in interest.

3 0
4 years ago
Which of the following is an example of the distributive property
Allushta [10]

Answer:

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Step-by-step explanation:

7 0
4 years ago
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