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stiv31 [10]
3 years ago
9

Consider the diagram.

Mathematics
2 answers:
juin [17]3 years ago
8 0

the answer to this problem is HL                                                  

AnnyKZ [126]3 years ago
6 0
The answer for the exercise shown in the figure attached is the first option:
 Option 1: HL.
 The explanation of the problem is shown below:
 By the Hypotenuse Leg Theorem (HL), when the hypotenuses of two rigth triangles have the same length and one of the their legs have the same length too, you can conclude that both triangles are congruent. 
 Therefore, the correct answer is the first option.
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
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kodGreya [7K]
Hi there. 

A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.

(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
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Divide both sides by 3 to solve for x.
x = 40.

Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84; 
One measurement is 84 degrees.

x = 40 is another measurement on its own.

Our measurements are:
56, 84, and 40.

Your corresponding answer choice is H.) 56, 84, 40.

I hope this helps!
7 0
2 years ago
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Ilya [14]

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Step-by-step explanation:

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