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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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Answer:

Option B,C and E are solution to given inequality y - 3x < -8

Step-by-step explanation:

We need to check which ordered pairs from given options satisfy the inequality y - 3x < -8

Ordered pairs are solutions to inequality if they satisfy the inequality

Checking each options by pitting values of x and y in given inequality

A ) (1, -5)

-5-3(1)

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

B) (-3, - 2)

-2-3(-3) < -8\\-2-9

So, this ordered pair is solution of inequality as it satisfies the inequality.

C) (0, -9)

-9-3(0)

So, this ordered pair is solution of inequality as it satisfies the inequality.

D) (2, -1)

-1-3(2)

So, this ordered pair is not the solution of inequality as it doesn't satisfy the inequality.

E) (5, 4)​​​

4-3(5)

So, this ordered pair is solution of inequality as it satisfies the inequality.

So, Option B,C and E are solution to given inequality y - 3x < -8

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