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riadik2000 [5.3K]
3 years ago
8

Which of the following are remote interior angles of angle 1? Check all that apply

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0
Your answer is correct

<2 and <3 are remote interior angles of <1
Arisa [49]3 years ago
5 0

Answer:

Option (b) and (c) are correct.

The remote interior angles of ∠1 are ∠2 and ∠3.

Step-by-step explanation:

Given : A triangle with marked angles.

We have to find the remote interior angles of angle 1.

Remote interior angles are the two angle that are inside the triangle and are opposite from the exterior angle.

Also,Remote interior angles don't share a vertex or corner of a triangle with the exterior angle.  

Thus, for the remote interior angles of angle 1 are angle 2 and angle 3  as they do not share a vertex or corner of a triangle with the exterior angle.  

Thus, Option (b) and (c) are correct.

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Please answer for both.And please explain how you got the answer so I can understand
ipn [44]
Multiples : these are what we get after multiplying a number by an integer (not a decimal or fraction)
Example : 6 * 1 = 6......6 * 2 = 12.....6 * 3 = 18......so 6,12, and 18 are multiples of 6.

factors : these are what we multiply by to get a number
Example : 1 * 6 = 6.....so 1 and 6 are factors of 6....2 * 3 = 6 ...so 2 and 3 are also factors of 6
==============================
problem 1 : Look at ur clues...each number is less then or equal to 12....this right here eliminates D because of the 15. The greatest common factor of the 2 numbers is 2....and this eliminates B because if it has a factor of 2, it has to be an even number. So that leaves us with :
A. 6 and 10
C. 10 and 12
last clue....they have a least common multiple of 60...this means that ur 2 numbers cant have any other common multiples until 60.
6 * 10......both are multiples of 60...however, they are also both multiples of 30...so 60 is not the least common multiple of 6 and 10, it is 30.
Therefore, ur answer is C. 10 and 12....with the LCM of 60, LCF of 2 and < or = to 12
===================
problem 2 : GCF (greatest common factor) of 42 and 84

factors of 42 : 1,2,3,6,7,14,21,42
factors of 84 : 1,2,3,4,6,7,12,14,21,28,42,84

therefore, the GCF of these 2 numbers is 42

8 0
4 years ago
Please Help, 35 Points.
Andrei [34K]

To answer this question, we have the start-up costs of $ 52,000

A monthly inflation of $ 0 is assumed

Operating costs  are $680

The daily gain  is $960

For the Part A.

The inequality that this situation represents

 960d-680d>52000

So:

d(960-680)>52000

Where d represents the number of days.

For the Part B.

To start earning, you must replace all the initial investment and cover the expenses per day. The time that must pass for this to happen is obtained by clearing "d" from the inequality.


 d>\frac{52000}{960-680}

d> 185.71 days

Then, the sum of the net profits will be greater than the initial investment after 186 days of starting the business.

4 0
3 years ago
What is the difference between 711 and 114?
matrenka [14]

Answer:

597

Step-by-step explanation:

711-114=597

Hope it helps you

7 0
2 years ago
The function y = –0.296x2 + 2.7x models the length x and height y that your sister's pet rabbit can jump, in centimeters. How hi
Ne4ueva [31]
To figure out the solution in a problem related to calculate maximum or minimum of something, you've to derive the involved equation, and make it equal to 0, solving the x.

So:
y = -0'296x² + 2'7x
y' = -0'592x + 2'7
0 = <span>-0'592x + 2'7
</span><span>-0'592x = 2'7
</span>x = 4'56

And if we substitute 4'56 on the first equation:
y = -0'296·<span>4'56² + 2'7·4'56
y = 6'16

So the length of the jump is 4'56cm, and the height 6'16cm.</span>
8 0
4 years ago
Read 2 more answers
Find the average monthly expense: April $850, May $832, June $669. Round answer to the nearest cent.
den301095 [7]

Answer:

The answer is c, 783.67

Step-by-step explanation:

you add 850+832+669=2351

because it is for 3 months, you divide it by 3. 2351/3=783.6666666667

They say round to nearest cent, which is 783.67

5 0
3 years ago
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