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3 years ago

In ΔABC shown below, line segment AB is congruent to line segment BC:

Mathematics

2 answers:

yan [13]3 years ago

6 0

Answer:

∠ABD ≅ ∠CBD

Step-by-step explanation:

Given: line segment AB ≅ line segment BC

Prove: The base angles of an isosceles triangle are congruent.

Statement Reason

1. Segment BD is an angle bisector of ∠ABC - By construction

2. ∠ABD ≅ ∠CBD - Definition of an Angle Bisector

3. Segment BD ≅ segment BD - Reflexive Property

4. ΔABD ≅ ΔCBD - Side-Angle-Side (SAS) Postulate

5. ∠BAC ≅ ∠BCA - CPCTC

alisha [4.7K]3 years ago

6 0

Answer:

It is ABD = CBD I just got it right!

Step-by-step explanation:

You might be interested in

travel earns $25 a day working afther school at the supermarket. how much money will he earn in d days

hichkok12 [17]

Answer:

Hi!

Your answer is:

25d

Since we aren't aware of how many days he is working, we substitute a variable (d) in for it!

I hope this helps!

4 0

4 years ago

Use the diagram to find the measure of arc. AB and CD and the diameters of the circle F

dybincka [34]

Answer:

11). $m(\widehat{DE})$ = 90°

12). $m(\widehat{AEC})$ = 212°

Step-by-step explanation:

A circle F with AB and CD are the diameters has been given in the figure attached.

11). Since, $m(\widehat{AB})$ = 180°

and $m(\widehat{AB})=m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})$

Therefore, $m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})$ = 180°

32° + $m(\widehat{DE})$ + 58° = 180°

$m(\widehat{DE})$ = 180° - 90°

= 90°

12. Since, $m(\widehat{AD})=m(\widehat{BC})$ = 32°

$m(\widehat{AEC})$ = $m(\widehat{AB})+m(\widehat{BC})$

= 180° + 32°

= 212°

7 0

3 years ago

2. (8 points) If you have n gold coins with one a fake that you know is slightly lighter, how many weighings on the pan balance

pogonyaev

Answer:

Only 1 Time

Step-by-step explanation:

Since you know that one coin is fake and that the coin is lighter than the rest , then you would only need to weigh all the coins together 1 time to ensure that you will find the fake coin. We can determine this by doing the following.

Example:

Lets say we have 100 coins that weigh 1 gr each. Meaning that the total weight of the 100 coins would be (100coins*1gr = 100gr) IF there are no fake coins in the batch.

Knowing this we can weigh the entire batch 1 time and if the total weight is less than 100gr we know that the fake coin is in that batch.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0

3 years ago

Christina wants to compute the cost of tiling the floor in her bathroom. The floor measures 7 feet 6 inches by 8 feet 10 inches.

ArbitrLikvidat [17]

Answer:

Two boxes will cost $\$35.95\cdot 2=\$71.9.$ The cost of one tile is approximately $\dfrac{\$71.9}{67}\approx \$1.08.$

Step-by-step explanation:

Note that 1 ft = 12 in, then

$7\ ft\ 6\ in=7\cdot 12+6\ in =90\ in,\\ \\8\ ft\ 10\ in=8\cdot 12+10\ in=106\ in.$

The area of the floor is

$90\cdot 106=9540\ in^2.$

Now

$1\ ft^2=144\ in^2,$

then

144 sq. in - 1 tile,

9540 sq. in - x tiles.

Mathematically,

$\dfrac{144}{9540}=\dfrac{1}{x},\\ \\x=\dfrac{9540}{144}=66.25$

tiles is needed to cover the floor (67 full tiles).

Each box of tiles contains 45 tiles, so Cristina has to buy 2 boxes. These two boxes will cost $\$35.95\cdot 2=\$71.9.$ The cost of one tile is approximately $\dfrac{\$71.9}{67}\approx \$1.08.$

7 0

3 years ago

X+5/x^2+x-12 What are the restrictions for x

soldier1979 [14.2K]

x ≠ - 4, 3

the denominator of the fraction cannot equal zero as this would make the fraction undefined. Equating the denominator to zero and solving gives the values that x cannot be

solve x² + x - 12 = 0

(x + 4)(x - 3) = 0

equate each factor to zero abd solve for x

x + 4 = 0 ⇒ x = - 4

x - 3 = 0 ⇒ x = 3

restrictions on x are : x ≠ - 4, 3

6 0

3 years ago