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2 years ago

Find x. Give reasons to justify your solution

Mathematics

1 answer:

katrin [286]2 years ago

7 0

Answer: x = 28

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

Explanation:

The angles COE, EOF, and FOB combine to form angle COB

angle COB = (angleCOE)+(angleEOF)+(angleFOB)

angle COB = (3x)+(x)+(x+12)

angle COB = 5x+12

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Angles AOD and COB are vertical angles, so they are congruent

angle COB = angle AOD

5x+12 = 152

5x = 152-12

5x = 140

x = 140/5

x = 28

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Answer:

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Step-by-step explanation:

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Kira, goran, & joe sent a total of 90 text messages during the weekend. Goran sent 5 fewer messages than Kira. Joe sent 3 ti

MissTica

Answer:

Kira sent 19 text messages, Goran sent 14 text messages and Joe sent 57 text messages.

Step-by-step explanation:

Let be "k" the number of text messages that Kira sent during the weekend, "g" the number of text messages that Gora sent during the weekend and "j" the number of text messages that Joe sent during the weekend.

We know know that they sent a total of 90 text messages then:

$k+g+j=90$

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$g=k-5$

And Joe sent 3 times as many messages as Kira. Then:

$j=3k$

The steps to solve this are:

- Substitute the second equation and the third equatio into the first equation and then solve for "k":

$k+(k-5)+(3k)=90\\\\5k-5=90\\\\5k=90+5\\\\k=\frac{95}{5}\\\\k=19$

- Substitute this value into the second equation to find "g":

$g=19-5=14$

- Substitute the value of "k" into the third equation to find "j":

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Step-by-step explanation:

Apply the distributed property, so it now looks like this: -3n + -18 + 10 = -9
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Simplify: -3n - 8 = -9
Add 8 to each side, so it now looks like this: -3n = -1
Divide each side by -3 to cancel out the -3 next to n. It should now look like this: n = 1/3

I hope this helps!

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masya89 [10]

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