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valkas [14]
2 years ago
13

E Jessica, Bob, and Ravi sent a total of 121 text messages during the weekend. Jessica sent 5 fewer messages than Ravi. Bob sent

4 times as many messages as Ravi. How many messages did they each send? mumhor of text messages Jessica sent: 6​
Mathematics
1 answer:
gladu [14]2 years ago
3 0
21 messages they sent together
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Help i really have no clue not sure where to start
Juli2301 [7.4K]

Focus on the top line angles for now.

Those two angles combine to the straight angle ABC, which is 180 degrees.

(angleABY) + (angleYBC) = angle ABC

(x+25)+(2x+50) = 180

(x+2x) + (25+50) = 180

3x+75 = 180

3x = 180-75

3x = 105

x = 105/3

x = 35

We'll use this x value to find that:

  • angle YBC = 2x+50 = 2*35+50 = 70+50 = 120 degrees
  • angle BEF = 5x-55 = 5*35-55 = 175-55 = 120 degrees

Angles YBC and BEF are corresponding angles (they are both in the northeast corner of their respective four-corner angle configuration). They are both 120 degrees. Since we have congruent corresponding angles, we have effectively proven that AC is parallel to DF. Refer to the converse of the corresponding angles theorem.

The regular version of the "corresponding angles theorem" says that if two lines are parallel, then the corresponding angles are congruent. The converse reverses the logic of the conditional statement. Meaning that if the corresponding angles are congruent, then the lines are parallel.

6 0
2 years ago
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Is 8/10 greater than 1/2
Kay [80]
Yes because 8/10 as a decimal is 0.8 while 1/2 is 0.5
5 0
3 years ago
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A. Headphone World<br> B. Best Buy<br> C. Target<br> D. Not enough information to tell
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Answer:

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Step-by-step explanation:

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Martha’s new weight is 77.25. 3% of 75 is 2.25 and you can find that by multiplying 75 by .03 and adding that number to 75. hope this helps!
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3 years ago
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What divisor is represented by the synthetic division below?  –5 5 x + 5 x – 5
Tju [1.3M]
For this case, the dividend is given by:
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 The number -5 is the opposite value of the divisor constant.
 Therefore, the divisor is given by:
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 Answer:
 
The divisor is:
 
x + 5
4 0
3 years ago
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