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7nadin3 [17]
3 years ago
6

Given: What type of angles are ∠2 and ∠3 are adjacent angles.

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0
The correct answer is:  [D]:  "<span>supplementary angles, 180° " .
_____________________________________________________
<u>Note:</u>  
</span><span>
Choices:
_____________________________________________________
   [B]:  "complementary angles, 180° " ; and:
_____________________________________________________
   [C]:  "supplementary angles, 90° "  ;  
_____________________________________________________
can automatically be ruled out ; since by definition:

     </span>→  Complementary angles always add up to 90° — NOT 180° ; 
and:   supplementary angles always add up to 180° — NOT 90° .
<span>_____________________________________________________
Note:  "Adjacent angles" refer to "supplementary angles" ; which, by definition add up to 180</span>° .  Futhermore, looking at the image provided,

we see that ∠1 and ∠2 are, in fact "adjacent" and that ∠1 and ∠2 comprise the entire portion of a "straight line" (being intersected by a transversal)" ;  

  and as such;  ∠1 and ∠2 are supplementary angles—
 
  and as such—add up to 180° .

(which rules out:  Choice [A]:  "complementary <span>angles, 90°) ; 

</span>→  <span>and demonstrates the correct answer:
______________________________________________________
Answer choice:  [D]:  "</span><span>supplementary angles, 180°</span><span> " .
</span> <span>______________________________________________________
</span>
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Step-by-step explanation:

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Can someone explain how to do 1-3. I don’t understand how to do them :(
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Marcus monthly salary is $1,500 plus 10% of sales. How much could Marcus earn per month with salary and 9% sales? Please explain
sergejj [24]

If Marcus monthly salary is $1,500 plus 10% of sale, then he could earn 1500 + 0.09x per month with salary and 9% sales

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The percentage incentives for sales = 10%

If the percentage of incentive for sales is 9 %

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Therefore the monthly salary of Marcus = Monthly salary of Marcus + (The amount of sales × 9/100)

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8 0
1 year ago
2x+3y=1 and y=-2 - 9 solve using linear combination method. Please explain steps.
kaheart [24]

Answer:

x=17

Step-by-step explanation:

2x+3y=1

y=-2-9

  • In order to combine these two equations, an idea you need to keep in mind is finding a way of setting these equations as equal to each other. I saw that each equation shared a common value, y. In this case, we need to isolate y in the first equation so that both equations =y.

2x+3y=1

3y=-2x+1

\frac{3y}{3}=\frac{-2x+1}{3}

y=-\frac{2}{3}x+\frac{1}{3}

  • With this, we now know that both -2-9 and -\frac{2}{3}x+\frac{1}{3} are equal to y, so we can set them equal to each other.

y=-\frac{2}{3}x+\frac{1}{3}

y=-11

-\frac{2}{3}x+\frac{1}{3}=-11

  • Reply to this if anything I'm saying or doing is confusing in any way, or if you find a mistake. :) Solve for x.

-\frac{2}{3}x+\frac{1}{3}=-11

-\frac{2}{3}x=-11-\frac{1}{3}

-\frac{2}{3}x =-\frac{33}{3}-\frac{1}{3}

-\frac{2}{3}x =-\frac{34}{3}

-\frac{2}{3}x(-\frac{3}{2})=-\frac{34}{3}(-\frac{3}{2})

x=\frac{102}{6}=17

x=17

  • Hopefully this answer is correct AND makes sense in terms of how I achieved it. Again, reply to this with any questions or mistakes I made and I'll do my best to answer or fix them.

 

4 0
3 years ago
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