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4 years ago

Vertical angles are congruent is that an example of a theorem

Mathematics

2 answers:

NISA [10]4 years ago

7 0

Whats the answers? I need them first

Pachacha [2.7K]4 years ago

3 0

Proof:

∠1and∠2∠1and∠2 form a linear pair, so by the Supplement Postulate, they are supplementary. That is,

m∠1+m∠2=180°m∠1+m∠2=180°.

∠2and∠3∠2and∠3 form a linear pair also, so

m∠2+m∠3=180°m∠2+m∠3=180°.

Subtracting m∠2m∠2 from both sides of both equations, we get

m∠1=180°−m∠2=m∠3m∠1=180°−m∠2=m∠3.

Therefore,

∠1≅∠3∠1≅∠3.

You can use a similar argument to prove that ∠2≅∠4∠2≅∠4.In the figure,

∠1≅∠3∠1≅∠3 and ∠2≅∠4∠2≅∠4.

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Your teacher is choosing 2 students to run an errand for her. There are 12 girls and 10 boys in the class. What is the probabili

Ne4ueva [31]

Answer:

2/7

Step-by-step explanation:

There are 22 (12 + 10) total students in the class. That means that the chance of the first student picked being a girl is 12/22.

Now, we must calculate the chance of the next student to be picked also being a girl - however, there is a trap here! Remember that since a girl has been picked, the total student pool has decreased to 21 and and the total number of girls has decreased to 11. This means the new chance of girl being picked is 11/21.

To find the probability of both these events happening in conjunction, these fractions must be multiplied. 12/22 * 11/21 = 132/462, which simplifies to 2/7.

4 0

3 years ago

Read 2 more answers

You divided 2/3 of a gallon of paint equally among 4 containers. How much paint is in each container.

Hunter-Best [27]

Answer:

1/6 a gallon of paint is in each container

Step-by-step explanation:

2/3 * 1/4 = 2/12

2/12 = 1/6

3 0

2 years ago

One pound of gummy bears costs $2.20. How much does 1.6 pounds cost?

cestrela7 [59]

6 pounds of gummy bears cost is $3.52 . Because you just needed to multiply 3.52 with 6 which will equal $3.52

6 0

3 years ago

Read 2 more answers

3. Which is the inverse of the function f(x) = 4x^2?

natali 33 [55]

Answer:

$f^{-1}(x)=\frac{\sqrt{x}}{4}$

Step-by-step explanation:

The inverse of the function is the "opposite" of a function, so to speak. One can find it by treating it like a literal equation with 2 variables, one now has to solve for the other variable presnet. In other words, treat the therm (f(x)) like another variable in the equation. Now one has to solve for (x) in terms of (f(x)).

$f(x)=4x^{2}\\$

Manipulate the literal equation with inverse operations;

$f(x)=4x^{2}\\\sqrt{}\\\\\\\sqrt{f(x)}=4x\\/4\\\\\frac{\sqrt{f(x)}}{4}=x$

Now switch the variables;

$f^{-1}(x)=\frac{\sqrt{x}}{4}$

The $f^{-1}(x)$ signifies that the written function is the inverse of the original function.

7 0

3 years ago

Choose the correct sampling distribution for p, the proportion of heads obtained in the experiment of flipping a balanced coin

Aneli [31]

Answer:

1/2

Step-by-step explanation:

The coin is balanced, so if we call p the probability of heads, then p must be equal to 1-p, the probability of tails. Since p = 1-p, then 2p = 1, therefore p = 1/2. As a consecuence, there is a probability of 1/2 that the number of heads obtained is 1, and a probability of 1/2 that the number of heads obtained is 0.

I hope this works for you!

4 0

3 years ago