Identify the correct explanation for why the triangles are similar. Then find TO and US.
Answers
Answer:
The correct explanation is option B;B. ∠L ≅ ∠L By Reflexive Prop. ≅.
Since ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6
Step-by-step explanation:
The given parameters are;
= 5
= 10
= + = 15
= x - 3
= x + 1
A two column proof is presented as follows;
Statement Reason
∠L ≅ ∠L By Reflexive property of congruency
║ Given
∠LOP ≅ ∠LMN By the Corresponding angles Postulate
Therefore
ΔLOP ~ ΔLMN By AA similarity Postulate
Where we have that ΔLOP and ΔLMN, we get;
/ = / = 5/15 = 1/3
∴ (x - 3)/(x + 1) = 1/3
3·(x - 3) = 1·(x + 1)
3·x - 9 = x + 1
3·x - x = 1 + 9 = 10
2·x = 10
x = 10/2 = 5
x = 5
= (x - 3) = 5 - 3 = 2
= 2
= x + 1 = 5 + 1 = 6
= 6
Therefore, the correct option is ∠L ≅ ∠L By Reflexive Prop. ≅.
Since ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.
/TO/ and /US/ are parallel so the angles at TOS (©)and the external angle at OSU (©) are equal ( Z angles) therefore the internal angle at OSU will be 180 - © similarly the angle at POT is also 180 - ©
Related Questions
What is the solution to the equation 6 m = 60?
m = 10
m = 50
m = 66
m = 360
Answers
Answer:
[tex]\displaystyle m = 10[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{60}{6} = \frac{6m}{6} \\ \\ \boxed{10 = m}[/tex]
I am joyous to assist you at any time.
Answer:
[tex]\sf{m=10}[/tex]
Step-by-step explanation:
The value of m must be found from one side of the equation in order to solve this problem.
6m=60
First, divide by 6 from both sides.
[tex]\sf{6m=60}[/tex]
[tex]\sf{\dfrac{6m}{6}=\dfrac{60}{6} }[/tex]
Then, solve it.
[tex]\boxed{{\sf{m=10}}}[/tex]
Therefore, the correct answer is m=10.
I hope this helps you! Let me know if my answer is wrong or not.
Can the GCF of a pair of numbers ever equal one of the numbers? Explain how you know
Answers
Answer:
It can
Step-by-step explanation:
For example, the GCF of 44 and 22 is 22.
Eg: 13, 26
13 is the factor of 26. 26= 13*2
So, GCF of 13 and 26 = 13
What is X?
(x+22) 2x
(Need help)
Answers
Answer:
nasa pic yung sagot
hope its help
Michelle's keeping track of how much time she spends playing video games. She knows she gamed for a total of 60 hours during the past 3 weeks. She played 4 hours more during the 2nd week than the 1st week. Also, she played 2 hours less during the 3rd week than the 2nd week. How many hours did she spend playing video games during the 3rd week?
Answers
Answer:
I have no clue.
Step-by-step explanation:
Answer:
What is a appropriately
What is a Procedure
What is a Enthusiasm
What is a Conflict
What is a Technique
What is a Obtain
What is a conflict management
Solve for area and perimeter in each of the following problems.
Answers
Answer:
1. perimeter =2(l+w)
=2(17+10)
= 54 yards
Are of the perimeter=l times b
=17 x 10
=170 yd square
Just follow this concept for all of them. It the same thing. Good Luck!!
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the side length of the base is 16.6m and the height of the pyramid is 9.1 m. Round your answer to the nearest tenth of a cubic meter.
Answers
Answer:
Formula for volume of square pyramid:-
V = 1/3 x a^2 x h
Where 'a' is the length of one side of the base, and 'h' is the height.
Plug in our values, given that:
16.6m = side length of base.
9.1m = height of pyramid.
V = 1/3 x a^2 x h
V = 1/3 x 16.6^2 x 9.1
V = 1/3 x 275.56 x 9.1
V = 1/3 x 2507.596
V = 2507.596/3
V = 835.865, which rounds to 835.9 cubic meters.
If the area of a circle is 64 pie square centimeters, then what is its radius
Answers
Answer:
8
Step-by-step explanation:
A=πr^2
64π=πr^2
since answer is in terms of pi, ignore the pi.
sqrt(64)=8
pls help with this brain boggling work
:)
Answers
Answer:
$10/hour
Step-by-step explanation:
The graph shows the relation between the number of hours Hachi works to the money he earns at his jobSolving
Pay rate = Money earned / Number of hoursPay rate = 10/1 = 20/2 = 30/3 = .... ⇒ $10/hourTake two points and find slope
(0,0)(1,10)Slope
m=10-0/1-0m=10/1m=10Pay rate 10$/h
( Pls help ASAP) Will give 20 points if you answer 2 questions))
Answers
Answer:
1. -3 2. y=-1
Step-by-step explanation:
Need help with this pls
Answers
Answer:
Answer:
SORRY
Step-by-step explanation:
ANSWER
Step-by-step explanation:
Answer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWER
Factoring
Need help pls
Answers
Answer:
2x(2²+3³)
I HOPE THIS HELP, THANKS ME LATER
Answer:
Factor by using the AC method-
1. (x+1) (x+4)
Factor by grouping-
2. (4x-3) (x+2)
What is the constant term in the expression 8xy − 9x2 y − 5x 6
Answers
Answer: 6
Step-by-step explanation:
I assume you meant to write 8xy − 9x2y − 5x + 6. The constant term in an expression is defined as a number by itself that contains no variables. Therefore, the answer is 6.
A constant term is a number that doesn’t have a variable. The only number in that equation that doesn’t have one is 6, so that’s it.
Do number 17 please.
Answers
Answer:
667.2
Step-by-step explanation:
aP/2 apothem is 13.9, perimeter is 16(6)= 96
multiply apothem and perimeter then divide by 2.
y = x + 2
5x - 4y = -3
Solving systems by equations
Answers
Answer: x = 5, y = 7
Step-by-step explanation:
1. First, put the variables together/rearrange:
y - x = 2 & 5x - 4y = -3
2. Cancel out variable x by multiply the first equation by 5:
5y - 5x = 10 & 5x - 4y = -3
3. Add equations:
y = 7
4. Then determine x by plugging y back into the first equation y = x + 2:
x = 5
Rebecca is calculating her expected expenses for her week long trip to Thailand. Her plane ticket costs 22,885 baht, her lodging costs 15,307 baht, and she has set aside 29,071 baht for food and spending money. What is Rebecca’s total expense? a. 128,071 baht b. 67,263 baht c. 21,493 baht d. 9,121 baht.
Answers
Answer:
The answer is B because you add up the 3 expenses
Step-by-step explanation:
Add the three expenses
The total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht
How to calculate total expense?Total expense shows the overall expense for the thing we're expending for. We add all the expenses to get the total expense.
For this case, we're given that:
Cost of plane tickets = 22,885 bahtCost of lodging = 15,307Cost for food and other expenses = 29,071So, total expected expense is sum of all these expenses.
Total expected expense = 22885 + 15307 + 29071 = 67263 baht
Thus, the total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht
Learn more about addition here:
https://brainly.com/question/1709448
what energy changes or causes
Answers
Answer: Nearly all thermal energy on Earth originates from the sun and radiates to the surface of our planet, traveling in the form of electromagnetic waves, such as visible light. Materials on Earth then absorb these waves to be used for energy or reflect them back into space. In an energy transformation, energy changes form.
Step-by-step explanation:
What is one thing you would not do when finding the question in a word problem?
A. Look for a problem similar to the word problem you are trying to solve.
B. The question may not be directly stated.
C. So you can understand what the facts are in the word problem.
D. To define your strategy or game plan to solve the word problem.
ill give brainliest and 100 points
Answers
Answer:
A. Look for a problem similar to the word problem you are trying to solve is the answer.
Edmond buys 4/5 of a kilogram of butterscotch chips and 5 kilograms of milk chocolate chips.
How much does he spend?
milk chocolate chips
$1 per kg
white chocolate chips
$2 per kg
dark chocolate chips
$3 per kg
butterscotch chips
$1 per kg
semisweet chocolate chips
$2 per kg
Answers
1 x 4/5 = 0.8
1 x 5 = 5
An electrician has an income of $41,500. The income tax the electrician has to pay is 12%. What is the amount of income tax that the electrician has to pay? A) $3,840 B) $4,164 C) $4,980 D) $5,210
Answers
Answer:
he has to pay 4980$ in tax
Step-by-step explanation:
Answer:
This question was on my test and I got a 100 so its right
Step-by-step explanation:
Let n be a positive integer. z^n is the set of all lists of length n whose
entries are in z. prove that z^n is countable. (hint: find a bijection
between z^(n−1) × zand z^n and then use induction.)
Answers
2-y^2=-14 solve for y express answer as an integer or in simplest radical form
Answers
Answer:
8
Step-by-step explanation:
y^2=-16
y= -16/1 % 2/1
y=-16/1 % 1/2
y = 8
Answer:
y=4
Step-by-step explanation:
its -y^2=-16. square root both sides to get rid of the exponent and it gives you -y=-4 which is the same as y=4
Define a polynomial that is a difference of squares. How do you know that it is the difference of squares? How is it factored?
Answers
Answer:
When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
Step-by-step explanation:
lol it’s on wassa name ;) mark me brainliest? Btw
Here you go, your equation should look a lot like this:
x²-16 -----> (x+4)(x-4).
look at pic please and answer
Answers
What is the measure of the missing angle?
39 faren height plus 33 plus an unknown number to equal 180
Answers
Answer:
108
Step-by-step explanation:
39 + 33 + x = 180
To find the missing angle, we have to add together the two angles that are given and then subtract that from 180.
39 + 33 = 72
180 - 72 = 108
Therefore, our answer is 108 degrees.
I hope this helps! Have a lovely day!! :)
Jory's motorcycle travels at a constant rate of 18 miles in 45 minutes. What is the rate, in miles per hour,
that Jory is traveling?
A. 13
B. 18
C. 24
D. 26
please give explanation
Answers
Answer:
C. 24
Step-by-step explanation:
We should find how many miles Jory travels in 15 minutes first.
45 ÷ 15 = 3
18÷3=6
6 miles in 15 minutes
every hour has 60 minutes
60 ÷ 15 = 4
multiply 6 by 4 to find miles per hour
6×4=24
Please help with one through three Brainliest to the correct in best answer
Answers
Answer:
1. Alike
2. Opposite
3. Common factor
Step-by-step explanation:
1. To have a positive number, you can only have alike signs, for example, any positive number times another positive number is always positive. The same is true for negative numbers multiplied by each other.
2. To have a negative number, there has to be one negative number and one positive number being multiplied together. Always. For example:
3 x -5 =-15
10 x -1 = -10
3. You can factor out a common factor to simplify a polynomial before you factor it.
a kite is 50 m high when 200 m of sting is let out. what angle does the kite string make with the ground to the nearest tenth of a degree?
the angle between the kite string and the ground is ?
Answers
Check the picture below.
Make sure your calculator is in Degree mode.
Felipe just started collecting stamps. he has 36 stamps so far. His uncle Caro has 1,890 stamps in his collection. The number of stamps Carlos has is how many times the number Felipe has?
Answers
Answer:
52.5
Step-by-step explanation:
just divide bro it ain't that hard
There are 9 members on a board of directors. if they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible? a. 504 c. 729 b. 84 d. 362,880
Answers
Answer:
A. 504
Step-by-step explanation:
on edge 2022
Answer:
A.
Step-by-step explanation:
EDG 2022
A gas station sells motor oil in 2-liter bottles. The gas station sold 6 bottles of oil each day for 8 days.
How many liters of motor oil did the gas station sell in these 8 days?
Answers
Answer:
96 liters
Step-by-step explanation:
Two liters are in each bottle, so that means they sold 12 bottles of oil each day. Multiply that with 8 days to get the answer:
12 × 8 = 96
Ninety-six liters.