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natka813 [3]
1 year ago
7

Geometry: complete this proof, ASAP!!!

Mathematics
1 answer:
Tresset [83]1 year ago
3 0

Answer:

By definition, angles A and 1 are corresponding angles and angles B and 1 are consecutive angles. By the corresponding angles postulate, angles A and 1 are congruent, and by the consecutive angles theorem, angles B and 1 are supplementary. By the definition of supplementary angles, measures of angle B and 1 add up to 180 degrees (m<B + m<1 = 180). By definition of congruent angles, angles A and 1 have same measurement (m<A = m<1). By substitution property of equality, measures of angles A and B add up to 180 degrees (m<A + m<B = 180). By definition of supplementary angles, angles A and B are supplementary.

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The sum of two numbers is 68. The second number is 2 more than twice<br> the first.
e-lub [12.9K]

Answer:

22 and 46

Step-by-step explanation:

let

one number is x

another is 2x+2

now 2x+2+x=68

or, 3x+2=68

3x=66

or x=66/3=22

so one number is 22 and another is (22X2+2)=46

4 0
3 years ago
How to write repeating decimals as fractions
nignag [31]

Answer:

You take the repeating group of digits and divide it by the same number of digits but formed only by 9s.

Step-by-step explanation:

Let's say you have 0.111111111111...., your repeating pattern is 1, that consists of one digit (1).  You take that digit and you divide it by 9:

1/9 is the fraction equivalent to 0.111111111111111...

Let's say you have 0.12121212121212...., the repeating pattern is 12, that consists of 2 digits (12).  You take those 2 digits and divide them by 99:

12/99 is the fraction equivalent to 0.12121212121212...

which can be reduced to 4/33

If you have 0.363363363363..., your repeating pattern is 363, which is 3 digits, so you divide 363by 999:

363/999 is the fraction equivalent to  0.363363363363...

which can be simplified to 121/333

7 0
3 years ago
Please help and I suck at doing assignment with quadratic functions-
bogdanovich [222]

Answer:

i think its the vertex

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is 2 3/5 multiplied by 2 as a mixed number or fraction
vivado [14]

Answer:

26/5 or 5 1/5

Step-by-step explanation:

First convert 2 3/5 into an improper fraction:  13/5.

Then multiply this result by 2:  2(13/5) = 26/5.  This is the answer as an improper fraction.

26/5 as a mixed number would be 5 1/5.

6 0
3 years ago
Phones-R-Us charges $16.95 per month and $0.05 per text message. Awesome Wireless charges $22.95 per
Dima020 [189]

Answer:

S \leq 200

Step-by-step explanation:

Given

Phone R-Us= $16.95 + $0.05 per SMS

Awesome Wireless = $22.95 + $0.02 per SMS

Required

Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us

Represent the SMS with S

For Phone R-Us, we have:

SMS = 16.95 + 0.05S

For Awesome Wireless, we have:

SMS = 22.95 + 0.02S

For Awesome Wireless is greater or equal to Phone R-Us, we have:

22.95 + 0.02S \geq 16.95 + 0.05S

Collect Like Terms

0.02S - 0.05S \geq 16.95 - 22.95

-0.03S \geq -6

Solve for S

\frac{-0.03S}{-0.03} \geq \frac{-6}{-0.03}

S \leq 200

<em>Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200</em>

4 0
3 years ago
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