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OLEGan [10]
3 years ago
14

PlZ HELP !!!! if you can AWNSER either one if those please​

Mathematics
1 answer:
Hunter-Best [27]3 years ago
3 0

Problem 1

The two angles 6x and 30 are vertical angles, so they are congruent or the same in measure.

6x = 30

x = 30/6

x = 5 is the answer

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

Problem 2

The two angles form a straight angle which is 180 degrees. We consider them a linear pair (since they are adjacent and supplementary).

So,

5x+(3x+12) = 180

8x+12 = 180

8x = 180-12

8x = 168

x = 168/8

x = 21 is the answer

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3 Sean has 8-inch pieces of toy train track and Ruth has 18-inch pieces of train track. How
Morgarella [4.7K]

Answer:

72

Step-by-step explanation:

The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.

What's the smallest number that is a multiple of 8 and also a multiple of 18?

One way to find out is to start making lists of multiples:

Multiples of 8:  8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,

Multiples of 18:  18, 36, 54, 72, 90, 108, and so on.

This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.

Another method is to use the <u>prime factorization</u> of the two numbers.

Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.

8 = 2 x 2 x 2 = 2^3

18 = 2 x 3 x 3 = 2^1 x 3^2

To form the LCM, build a product of primes using the <u>highest exponent</u> in either of the two numbers.

LCM = 2^3 x 3^2 = 8 x 9 = 72.

7 0
3 years ago
What is the explicit formula for the following sequence: -4, -1, 2, 5...?
stiv31 [10]
U have an arithmetic sequence with a common difference of 3

A(n) = -4 + (n-1) * 3
4 0
3 years ago
John is younger than miraji for 15yrs after 4yrs the sum of their age will be 41yrs find the age of miraji at present
Margaret [11]
(x+4) + ((x-15)+4)= 41
2x-7= 41
2x= 48
x= 24
6 0
4 years ago
Helpppppp please please
GenaCL600 [577]
3/10=4/x
3x=10(4)
3x=40
x=13.33
8 0
3 years ago
Estimate by rounding each addend to the greatest place: 50,099+ 24,565=74,664 .
Contact [7]
I'm not 100% sure what you're asking, but i think it wants:

50,000 + 25,000 = 75,000 - so B is the answer

to do it you basically just round the number to the nearest 1000 and add
8 0
3 years ago
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