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podryga [215]
3 years ago
5

Iam stuck on this quiz and I need help!!

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer:

I think it is 3?

Step-by-step explanation:

3,  -2 ≤ 0

-5,  0 < -2 ≤ 5

3, -2 > 5

The second two lines do not hold true, as -2 is less than 0 and 5, not greater. The only that is true is the first one, but I am not sure that is how you do it.1

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Solve for the variable <br> -14 = x -7<br> -12x = 60<br> x+11 = -11<br> - x/4 = 2
Maurinko [17]
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In ΔABC, AD and BE are the angle bisectors of ∠A and ∠B and DE║ AB. Find the measures of the angles of ΔABC, if m∠ADE: m∠ADB = 2
drek231 [11]

Answer:   ∠A=48°,∠B=48°,∠C=84°.


Step by-step explanation:

Given:  AD and BE are the angle bisectors  of ∠A and ∠B

i.e ∠6=∠7    ( ∵ Angles formed after  AD bisected ∠A)

∠4=∠5       ( ∵ Angles formed after  BE bisected ∠B)

Also,  DE║AB

⇒ ∠2=∠7   (∵ Alternate interior angles)

   ∠3=∠6   (∵ Alternate interior angles)

And ∠ADE : ∠ADB =∠2:∠3= 2:9 =2x : 9x     ..(1)

To Find:  ∠A,∠B,∠C.

Solution:  ∠2=∠7 (∵ Given)    ...(2)

∠2=∠4  (∵ angles on the same segment)    ...(3)

∠4=∠5 =∠B/2 (∵ Given)    ...(4)

∴ In Δ ABD

∠3+∠4+∠5+∠7 = 180 (∵ Sum of interior angles of a triangle)

From equation 2,3,4,5, Put values

9x+2x+2x+2x =180°

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⇒x=12°

Putting values in equation (4) ⇒ ∠ B =2*(2*12) = 48°

Also, <u>∠B=∠A=48°</u>

Now,in Δ ABC

∠C+∠B+∠A= 180°

⇒48°+48°+∠C= 180°

<u><em>⇒∠C=84°</em></u>

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Answer: BRAINLIEST?

2.>

4.<

6.<

8. >

Step-by-step explanation:

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