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adell [148]
3 years ago
12

Lines m and n are parallel solve for the following values of x. Tell which theorem you used.

Mathematics
1 answer:
nevsk [136]3 years ago
8 0

Answer:

x=60°

Step-by-step explanation:

angle 135° and (2x+15)° are corresponding and thus are equal

Therefore (2x+15)°=135°

2x=135-15

2x=120°

X=60°

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The sum of two numbers is 72 and their difference is 26. find two numbers?
Archy [21]

9514 1404 393

Answer:

  23, 49

Step-by-step explanation:

Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...

  s + (s+26) = 72

  2s = 72 -26

  s = (72 -26)/2 = 23

Then the larger number is

  s +26 = 49

The two numbers are 23 and 49.

_____

The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)

That is, the two numbers are always half the sum ± half the difference:

  72/2 ± 26/2 = {36+13, 36-13} = {49, 23}

7 0
2 years ago
Jill jumped 6
MatroZZZ [7]

Answer:

44 ft

Step-by-step explanation:

You would subtract 657 - 613

6 0
3 years ago
3.1 , 3.4 , 3.25 , 3.33 from greatest to least
BlackZzzverrR [31]

Answer:

3.1  3.25   3.33   3.4

Step-by-step explanation:

4 0
3 years ago
Back Next
emmasim [6.3K]

Answer:

C

Step-by-step explanation:

✔️First, solve for r:

r/2 ≤ 3

Multiply both sides by 2

r/2 × 2 ≤ 3 × 2

r ≤ 6

This implies that possible value of r is equal to 6 or less than 6.

Graphing this on a number line, the line with a shaded circle, indicating that 6 is included, starts at 6 and points to the left.

This indicates that value of r ranges from 6 and below.

The graph is C.

7 0
3 years ago
There are 18 sweets in a packet. 8 of the sweets are mint what fraction of the sweets are not mint
Tcecarenko [31]
10/18 because 18-8=10 and the total amount is 18 so the fraction is 10/18
6 0
2 years ago
Read 2 more answers
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