what are the reasons to #3 and #5??

options for both #3 and #5

- CPCTC
- Given
- When two lines are parallel and cut by a transversal, the consecutive interior angles are supplementary
- opposite sides of a parallelogram are parallel
- reflexive property
- angles that are supplementary to the same angle are congruent

What Are The Reasons To #3 And #5??options For Both #3 And #5- CPCTC- Given- When Two Lines Are Parallel

Answers

Answer 1

Answers:

3) When two lines are parallel and cut by a transversal, the consecutive interior angles are supplementary.5) angles that are supplementary to the same angle are congruent.

==============================================================

Explanation:

Basically, statements 3 and 4 are nearly identical. They both use the exact same reasoning. For statement 3, the parallel lines are QT and RS, with QR being the transversal. Refer to the same side interior angles theorem. It's also known as the consecutive interior angles theorem.

-------------

For statement 5, consider the idea that if

Q+R = 180

Q+T = 180

then those two equations lead to T = R. Both angles T and R are supplementary to angle Q, so they must be the same angle. So that's why we go with the "angles that are supplementary to the same angle are congruent" option for this part.


Related Questions


The babysitter charges $10 per hour plus $5 for gas to come to the house. Let h represent the number of hours. Which expression represents the total
cost of hiring a babysitter for the evening?

Answers

Answer:  10h+5

Explanation:

10h represents the cost of $10 per hour for h hours, where h is some positive whole number. We tack on the extra $5 to add on the cost of gas.

For example, if the babysitter works for 7 hours, then h = 7. It leads to a cost of 10h+5 = 10*7+5 = 70+5 = 75. The total cost is therefore $75 in this case.

Solve the system. Give answer as
(
x
,
y
,
z
)


2
x

2
y
+
4
z
=
0



6
x

4
y

4
z
=
2



3
x

8
y
+
4
z
=
1


(
x
,
y
,
z
)
=
(

,
,
)

Answers

Answer:

howwwwww

Step-by-step explanation:

it's alot going on

PLS HELP HELPPPPPPP!!!!!!!!!

Answers

Answer:

[tex]18ft[/tex]

[tex] \frac{bm}{ba} = \frac{bn}{bc} \\ \frac{4}{8} = \frac{3}{6} \\ \frac{1}{2 } = \frac{1}{2} [/tex]

x^3-3x^2+x-2/10x^4-14x^3-10x^2+6x-10

Answers

Answer:

The quotient is 10x+16

The remainder is 28x^2+10x+22

HELP PLSSSSSSSSSSSSSS

Answers

Answer:

120

Step-by-step explanation:

Answer:

x=17.7

Step-by-step explanation:

Pythagorean theory

a²+b²=c²

16²+7.5²=c²

256+56.25=c²

√312.25=√c²

c=17.7

plz help!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

Use the exterior angle theorem

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle

82+ x = 2x + 18

64 = x

PQS angle = 2x + 18 = (2×64) + 18

= 146

DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game? Enter your answer in the box.​

Answers

Divide 296 by 16 you get 18.5 then add the 5.75 to get 24.25
So the answer is 24.25

The regular price of a ticket to the game will be $24.25  based on the given data.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given,

Total paid = $296

Number of tickets = 16

Cost per tickets = 296/16 = $18.5

This cost excludes the $5.75 saved due to the group.

Original price = $18.5 + $5.75 = $24.25

Hence "The regular price of a ticket to the game will be $24.25  based on the given data".

For more about the number system,

https://brainly.com/question/22046046

#SPJ2

If $20,000 is invested at 7% for 15 years, find the future value if the interest is compounded daily(365 days)

Answers

The compound interest after 15 years is

$36,978.97

VERY EASY IF YOU TYPE RIGHT AWSNER I WILL MARK AS BRAINLISt 5th grade super easy

Answers

Answer: 2

Step-by-step explanation:

2/7 + 13/14 = 1 3/14

4/14+13/14 = 17/14

2
because it’s common sense

Reasoning if you know one angle measure of a parallelogram, how do you find the other three angle measures? Explain. ​

Answers

To find the other angles in a parallelogram if only one is given then you need to subtract the number with 180 to find the consecutive angles. With the theorem 6-5 opposite angles are congruent, so the opposite side would have the same value.

PLEASE HELP EXPLAIN !! SHOW WORK FOR BRAINLIEST Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the concentration of Hydrogen ions. If a substance has an H value of 0.0004, what is the pH of the substance, rounded to the nearest tenth?

Answers

3.4

Step-by-step explanation:

The pH or acidity of a solution is given by the equation

[tex]pH = -\log{[H]}[/tex]

where [H] is the concentration of [tex]H^+[/tex] ions. If the [tex]H^+[/tex] concentration is 0.0004 (=[tex]4×10^{-4}),[/tex] then its pH level is

[tex]pH = -\log{(4×10^{-4})} = 3.4[/tex]

What is the slope of the line shown below?

A. 3/2
B. 2/3
C. -3/2
D. -2/3

Answers

9514 1404 393

Answer:

  B.  2/3

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For points (x1, y1) = (-3, -7) and (x2, y2) = (9, 1), the slope is ...

  m = (1 -(-7))/(9 -(-3)) = 8/12 = 2/3

The slope of the line is 2/3.

PLS HELP ME

what party was against a strong central government, government promotion of trade and industry?

A: Federalist

B: Democrat-republicans

C: Whigs

D: Democrats

I need it now pls it's a k-12 test

Answers

Answer:

the answer is a federalist and your welcome

Step-by-step explanation:

The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.

odd numbers between 20 and 46 that are mutiples of 3

Answers

Answer:

h

Step-by-step explanation:

h

Answer:

they should be 21 27 33 39 45

Step-by-step explanation:

:)

A group of 6 friends rent a cabin on a campsite. It costs $62.88 to rent the cabin. if they divide the cost evenly between them, how much does each friend need to pay?

Answers

Answer: Each friend needs to pay $10.48

A 13 foot ladder is placed
5 feet away from a wall
How many feet up the wall
will the ladder reach?

Answers

Answer: 12 feet up

Step-by-step explanation:

This problem models a right triangle, in which the ladder is the hypotenuse and the distance away from the wall is one of the legs.  Thus, you may use the Pythagorean Theorem (a^2 + b^2 = c^2)

[tex]a^2+b^2=c^2\\5^2+b^2=13^2\\25+b^2=169\\b^2=144\\b=12[/tex]

N.B. There are some very useful sets of numbers that can help you with this unit.

They are called Pythagorean triplets, and they are the sets of whole numbers that make right triangles.  The important ones are 3, 4, 5, and 5, 12, 13 (And their multiples, like 6, 8, 10(3,4,5 *2))

Hope it helps :) and let me know if you want me to elaborate further.

Grace collected 7 2/3 bins of glass bottles to recycle. Kenneth collected 7 5/6 times as many
bins as Grace. How many bins of bottles did Kenneth collect?

Answers

Answer:

Kenneth collected 60 bins of bottles.


Solution:

(7 2/5) * (7 5/6) = 60.05


Use the long division method to find the result when 12x^3+25x^2+4x-112x
3
+25x
2
+4x−1 is divided by 3x+13x+1.

Answers

Answer:

(4x + 3) • (x + 2) • (3x - 2)

Thats finding the root polynomials hope it helps a bit

John drives from home to his
parents house and then to a
cafe. His parents house is 13
miles south of his home and
the cafe is 6 miles east of his
parents house. What is the
distance, in miles, between his
home and the cafe SHOW YOUR WORK

Answers

Answer:

13=6 and no

Step-by-step explanation:

Answer:

The distance is 19 miles

Step-by-step explanation:

I know that because you have to add how many he drove to his parents and the amount of miles driven to the cafe and then it will give the total amount driven.

Expand 5(2x-4) please please

Answers

Answer:

10x - 20

Step-by-step explanation:

Distribute 5 to each of the terms within the parentheses to get 5(2x) - 5(4) = 10x - 20.

What is the answer I’m so stuck on this one

Answers

the answer is B

P/s : i use my calculator

ok done. Thank to me :>

Option A is the answer

what is the point slope form?​

Answers

Answer:

2

Step-by-step explanation:

Find 3 ordered pairs for each equation

Y= 5x+1

Y=10 - x

Y= 2x

Answers

1. (0,1) , (1,6) , (2,11)

2. (0,10) , (1,9) , (2,8)

3. (0,0) , (1,2) , (2,4)

hope this helps.

Benji took out a $10,000 loan at a 13% interest rate. Benji will not make a payment for the next 3 years. How much will be owed in 3 years with monthly compounding?

Round your answer to the nearest cent.
(please help)

Answers

Answer:

Plug into calc

Step-by-step explanation:

A= P(1+r/n)^nt

A= 10000(1+.13/12)^12*3

does anybody know this?​

Answers

Answer:

8  5/9

Step-by-step explanation:

6 1/3 + 2 2/9

Get a common denominator of 9

6 1/3 *3/3  + 2 2/9

6 3/9 + 2 2/9

8  5/9

Help pls!!!!!!


Yghhjjhgf

Answers

Answer:

[tex]\sf{Exact\:form:\\\sqrt[4]{81}\\[/tex]

[tex]\bold{Decimal\:form:-3}[/tex]

Step-by-step explanation:

[tex]-81^\frac{1}{4}[/tex]

[tex]\mathrm{Convert\: to\: radical\: form\: using\: the\: formula\:}\: a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]

[tex]\mathrm{If\:} n \mathrm{\:is\: a\: positive\: integer\: that\: is\: greater\: than\:} x\mathrm{\:and\:} a \mathrm{\:is\: a\: real\: number\: or\: a\: factor, then} \\a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]

[tex]\mathrm{Use\: the\: rule\: to\: convert\: -81^\frac{1}{4}\: to\: a\: radical, where\:} a=-81,\ x=1, \mathrm{and\:} n=4\\\sqrt[4]{81}[/tex]

[tex]\mathrm{Plug\: the\: points:}\\\\a^\frac{x}{n} = \sqrt[n]{a^x}\\-81^\frac{1}{4} =\sqrt[4]{81}[/tex]

[tex]\mathrm{Solve}\\\\\mathrm{The\: result\: can\: be\: shown\: in\: multiple\: forms.}[/tex]

Which of the functions represents a function? ​

Answers

Answer:

B.

Step-by-step explanation:

im not sure to my answer(●'◡'●)

can you please help me

Answers

Answer:

84000

Step-by-step explanation:

just searched it up plus you have to multiply it

can someone pls help me with dis ill give brainliest​

Answers

Answer:

274900

Step-by-step explanation:

Convert a number to and from scientific notation, e notation, engineering notation, standard form, and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation, engineering notation, standard form and word form formats.

To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.

Order of magnitude will also be identified for the calculated standard form. The order of magnitude when written in standard form, is the nth power of 10. For example, 3.4 x 10^5 has an order of magnitude of 5 since 10 is raised to the 5th power.

Answer:

Yes it is written in scientific notation.

Step-by-step explanation:

Scientific notation is --> a x 10^b.    where a and b are certain values. This value follows that pattern, so yes it is in scientific notation.

Greg paid $324.50 for guitar lessons. He paid a $124.50 registration fee and $40 for each week he was enrolled in lessons. What is w, the number of weeks Greg was enrolled in guitar lessons?

Answers

5 week is the answer because 324.50 - 124.50 since it’s a one time payment so now it’s remaining is 200/$40 a week = 5 weeks
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