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tatiyna
3 years ago
10

In the diagram, AB= DC and AC= DB. Why does DBC = ACB?

Mathematics
2 answers:
dedylja [7]3 years ago
7 0

Answer:

AB = DC                         Given

AC = DB                         Given

BC = BC                         Reflexive property

△ACB = △DBC             SSS

m∠DBC = m∠ACB       CPCTC    

Step-by-step explanation:

Reflexive property basically means that something is congruent to itself

SSS means that if all 3 sides of 2 triangles are congruent, the triangles are congruent

CPCTC means C.orresponding P.arts of C.ongruent T.riangles are C.ongruent

meaning because the triangles are congruent, all the corresponding sides and angles are also congruent

Svet_ta [14]3 years ago
4 0
Because they are congruent sides
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Ronnie walked into the electronics store and fell in love with a stereo speaker. The speaker cost $500. Since Ronnie only had $
Viefleur [7K]

Answer:

This is an example of impulse purchase

Step-by-step explanation:

This is an impulse purchase since Ronnie didn't plan to by the stereo before entering the store. An impulse purchase comes from the word impulse I.e sudden urge leading to a prompt action. An impulse purchaser does not budget for whatever they buy rather are influenced by their emotions. If they're attracted to that item, they'll buy it instantly.

3 0
3 years ago
Simplify the expression.<br><br><br> Write your answer without negative exponents.
Phoenix [80]

Answer:

-5/ (x^19 * y^12)

Step-by-step explanation:

-15x^-10 * y ^ -3 * x^-9 * y^-9/3 (It's writing it like this.)

15 and 3 have a GCF of 3.

-5x^-10 * y^-3 * x^-9 * y^-9/1

Reduce similar occurrences. *twice in a row*

-5x^(-10 + (-9)) * y^(-3 + (-9))/1

Remove extra signs *twice in a row*

-5x^(-10 - 9) * y^(-3 - 9)/1

Remove extraneous 1.

-5x^(-10 - 9) * y^(-3 - 9)

Add integers.

-5x^-19 * y^-12

Negative powers change multiplication to division.

-5 / (x^19 * y^12) is the final answer.

Even with that, the simplified answer wouldn't have negative exponents because of the negative powers rule.

8 0
2 years ago
A vitamin C tablet contains 1/40 of a gram of vitamin C. You take 1 1/2 tablets every day. How many grams of vitamin C do you ta
enyata [817]
1/40*1.5=3/80=0.0375
8 0
3 years ago
A survey of 46 college athletes found that 24 played volleyball, while 22 played basketball. a) If we pick one athlete survey pa
PSYCHO15rus [73]

Answer:

A) \dfrac{11}{23}

B) \dfrac{88}{345}

Step-by-step explanation:

A survey of 46 college athletes found that

  • 24 played volleyball,
  • 22 played basketball.

A) If we pick one athlete survey participant at random,  the probability they play basketball is

P_1=\dfrac{22}{46}=\dfrac{11}{23}

B) If we pick 2 athletes at random (without replacement),

  • the probability we get one volleyball player is \dfrac{24}{46}=\dfrac{12}{23};
  • the probability we get another basketball player is \dfrac{22}{45} (only 45 athletes left).

Thus, the probability we get one volleyball player and one basketball player is

P_2=\dfrac{12}{23}\cdot \dfrac{22}{45}=\dfrac{88}{345}

5 0
3 years ago
How do you do this? plz I really need help.
Vlada [557]
The top two answers are equivalent, while the bottom one is not. You would use distributive property in the parentheses. If both expressions are the same, they are equivalent
7 0
3 years ago
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