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Licemer1 [7]
3 years ago
13

What is the missing reason in the proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABC ≅ ∠ABDdefinition of an

gle bisectorsegment addition propertydefinition of congruent anglestransitive property

Mathematics
1 answer:
horsena [70]3 years ago
7 0

For a better understanding of the solution provided here please find the relevant diagram drawn as per given information in the file attached.

As given, \angle ABC=90^{\circ}. Also, it is given that \angle DBC is a straight angle. Therefore, \angle DBC=180^{\circ}.

As can be clearly seen from the diagram, if \angle DBC=180^{\circ} and \angle ABC=90^{\circ}, then:

\angle ABD=\angle DBC-\angle ABC=180^{\circ}-90^{\circ}=90^{\circ}

Therefore, \angle ABD\cong\angle ABC

Hence Proved.

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1 1/2× 3/4 please answer
Lynna [10]
It is 3/2 • 3/4 because you have to make the mixed number an improper fraction. Theb you would solve 3/2 • 3/4 and get 9/8 and that simplified is 1 1/8
6 0
3 years ago
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Factor out the coefficient 1/2d+6
Ratling [72]
To factor, we always have to look for common factors in the numbers given to us. In this case, in 1/2 and 6, the common factor is 1/2. Therefore, we will have to factor like so:

1/2d + 6 = 1/2 (d + 3)

Hope this helps!
4 0
3 years ago
Read 2 more answers
A coin is tossed twice. Let H represents heads, T represents tails, and the combination of the two letters represent the outcome
denis23 [38]

Answer:

{HH, HT, TH, TT}

Step-by-step explanation:

The set of all possible outcomes in tossing a coin twice is;

{HH, HT, TH, TT}

In the first toss the coin may land Heads. In the second toss the coin may land Heads or Tails. This can be represented as;

HH, HT

Heads in the first and second tosses. Heads in the first toss followed by a Tail in the second toss.

In the first toss the coin is also likely to land Tails. In the second toss the coin may land Heads or Tails. This can be represented as;

TH, TT

Tails in the first toss followed by a Head in the second toss. Tails in the first and second tosses.

Combining these two possibilities will give us the set of all possible outcomes in tossing a coin twice is;

{HH, HT, TH, TT}

4 0
3 years ago
Gloria bought each of her three younger siblings a movie ticket.find the total cost of the movie tickets if each ticket cost $9.
jeka94

Answer:

The answer is 29.25

Step-by-step explanation:

Using distributive property, the equation would be 3(9.75).

9.75*1+9.75*1+9.75*1=29.25

4 0
3 years ago
Answer answer answer answer
Mice21 [21]

Answer:

12 \leqslant x < 26

4 0
3 years ago
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