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jeka94
3 years ago
14

Suppose that m∠A = m∠D. Which other fact would guarantee that the triangles are SIMILAR? A) AB DE = CB FE B) m∠C = m∠F C) m∠A +

m∠B + m∠C = 180° D) 180° - m∠D = m∠E + m∠F

Mathematics
1 answer:
padilas [110]3 years ago
6 0
Given that m∠A=m∠D. The facts that would guarantee similarity of triangle ABC and triangle FDE is :
The ratio of corresponding sides are similar, that it:
AB/DE=CB/FE=CA/FD
also the corresponding angles should be equal. 
hence the answer is:
A] AB/DE=CB/FE and m∠C=m∠F

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Degger [83]

∠ KGH is equal to 77°. This is arrived at by using the knowledge of the total angles in Parallel Lines.

<h3>What are the total angles on a straight line?</h3>

According to the laws of lines and angles, the total number of angles that can exist on a straight line is 180°.

If ∠CED = 25° and ∠BFL = 78°, then: ∠KGH = 180-(25+78), which is equals 77°. This is because the total angles on a straight-line total 180°

<h3>What is ∠LKJ?</h3>

Recall that in angles in parallel lines:

  • Corresponding Angles are always congruent,  
  • Alternate Angles are always congruent, and
  • Interior According always sum up to 180°

Hence,

We can derive ∠LKJ because it is congruent with ∠BGJ.

To get ∠BGJ, we must get ∠LFH because both of them are interior angles and sum up to 180°.

To get ∠LFH, we must subtract ∠BFL from 180° because they are both angles on a straight line.

Hence ∠LFH = 180 - 78 = 102°

Recall that ∠LFH and ∠BGJ are interior angels. Hence

∠BGJ = 180 - 102 = 78°.

Since ∠BGJ is a corresponding ∠ with ∠LKJ, therefore

∠LKJ = 78°

<h3>What is ∠ALM?</h3>

∠ALM is ∠BFL because they are both corresponding angles and are therefore congruent.

<h3>What are the solutions to section B?</h3>

  1. Because ∠ACB and ∠BAC are equal, therefore sides AB and BC are equal in length. We can tell that  ∠ACB and ∠BAC are equal because the total angles in the triangle are equal to 180°

     2. The name given to the triangle mentioned above is Obtuse      

          Triangle. This is because one of the angles exceeds 90°.

Learn more about angles in parallel lines at:
brainly.com/question/24607467
#SPJ1

4 0
2 years ago
Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the coefficient 'k' in the factored form? 6x3 + 4x2 − 6x − 4 = 2(x
anastassius [24]

6x^3+4x^2-6x-4 =\\ 2(3x^3+2x^2-3x-2) =\\ 2(x^2(3x+2)-1(3x+2))=\\ 2(x^2-1)(3x+2)=2(x+1)(x-1)(3x+2).

So k=1.

5 0
3 years ago
By the Triangle Inequality Theorem, if two sides of a triangle have lengths of 6 and 13, what are the possible lengths of the th
murzikaleks [220]
1. You have that two sides of a triangle have lengths of 6 and 13. Then, by the <span>Triangle Inequality Theorem, you have:

 a+b>c
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 a=6
 b=13

 c<a+b
 c<6+13
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 4. The difference between a and b should be lesser that c. Then

 a-b<c
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 c=x

 7<x<19

 The correct answer is the option B: </span> B. 7<x<19<span>

</span>
5 0
3 years ago
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A recipe calls for 2 2/4 cups of raisins, but Julie only has a 1/4 cup measuring cup. How many 1/4 cups does Julie need to measu
timama [110]
To get to cups of raisins you need 8 1/4 cups, and then to get 2/4 you need 2.

So basically you need 10 1/4 cups
4 0
3 years ago
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This equation was solved incorrectly.
Charra [1.4K]
What was i correct was the 2nd step since when multiplying -2x-6 it would be a positive 12 not a negative :)
3 0
3 years ago
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