All categories

3 years ago

Given: m || n , <1 is congruent to <3 Prove: p || q

Mathematics

2 answers:

Gnesinka [82]3 years ago

8 0

Answer:

A= Angle 1 congruent to angle 2

B= Transitive Property

C= Converse Corresponding angles theorem

Step-by-step explanation:

prisoha [69]3 years ago

3 0

I would need see what your choices are to give exact answers, but I think the main idea here is to see that angles 1 and 3 are the same, and since the alternate interior angle theorem states parallel lines through a line, or another set of parallel lines, form equal angles on those positions, the lines that form those angles, p and q, must be parallel.

You might be interested in

$2,000 loan at 8% for 5 years.

Harman [31]

Answer:

$2,800 = Principle + Interest

Step-by-step explanation:

Using PRT/100, let's find the interest.

=> 2,000 x 8 x 5/100
=> 20 x 8 x 5
=> $800

Conclusion:

Therefore, the interest plus principle is 2,000 + 800, which is $2,800.

Hoped this helped.

$BrainiacUser1357$

8 0

2 years ago

Read 2 more answers

modal is made out of a stack of plywood sheets, each sheet is 0.6 inch thick. how many sheets of plywood tall is the modal ?

Montano1993 [528]

First what you need to do is 4.2 x 0.6 and that will be you answer.

7 0

3 years ago

The sum of the reciprocals of two consecutive even integers is 7/24. Write an equation that can be used to find the two integers

sergejj [24]

Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.

The reciprocals of these two even integers can be written as $\frac{1}{x}$ and $\frac{1}{x+2}$ respectively.

The sum of their reciprocals is 7/24. So we can set up the equation as:

$\frac{1}{x}+ \frac{1}{x+2}= \frac{7}{24}$

Taking LCM on left hand side:

$\frac{x+2+x}{x(x+2)}= \frac{7}{24} \\ \\ 
 \frac{2x+2}{ x^{2} +2x}= \frac{7}{24}$

Cross Multiplying the denominators:

$24(2x+2)=7({ x^{2} +2x}) \\ \\ 
48x+48=7 x^{2} +14x \\ \\ 
7 x^{2} +14x-48x-48=0 \\ \\ 
7 x^{2} -34x-48=0 \\ \\ 

$

Using the quadratic formula to solve the above equation:
$7 x^{2} -34x-48=0 \\ \\ 
x= \frac{34+- \sqrt{1156+1344} }{14} \\ \\ 
x= \frac{34+- \sqrt{2500} }{14} \\ \\ 
x=\frac{34+-50 }{14} \\ \\ 
x=6 \\ x=- \frac{8}{7} 
$

Since, the value of x can only be an integer, we discard the fractional value and keep x=6

So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24

5 0

3 years ago

when I make macaroni and cheese for my brother and me, I use 2 2/3 tablespoons of butter. how much butter will I n need to make

vladimir2022 [97]

You would need about 34 2/3 tablespoons of butter. Convert the fraction into an improper fraction, so 8/3. Then multiply that by 13 (you and your brother are included in the 15 people I suppose) and you get 104/3. Simplify that to get a mixed number and you have 34 2/3.

8 0

3 years ago

Read 2 more answers

a 28 year old man pays $181 for a one year life insurance policy with civerage of $150,000. If the probability that he will leiv

vampirchik [111]

Hjhhctdgdnrhfzjf gfjdbdjdhc fndndjxb gecko.

4 0

2 years ago

Read 2 more answers