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goldfiish [28.3K]
4 years ago
9

How do I go about solving this. ​

Mathematics
1 answer:
notka56 [123]4 years ago
6 0
<h2>Answer:</h2><h2>x=37.5° and angle ABC is 52.5°</h2><h2>Step-by-step explanation:</h2>

We know that angle CBD is a right angle.

We also know that angle ABE is 180°.

Our unknown angle values are angle DBE and angle CBA.

angle CBD minus angle ABE will be 90°.

angle ABC plus angle DBE must equal 90°.

Solving for x:

(x+15)+(x)=90°

(x+15-15)+(x)=90°-15

(x)+(x)=75°

2x=75°

2x/2=75°/2

x=37.5°

Checking the work:

ABC=37.5°+15=52.5°

CBD=90°

DBE=37.5°

In conclusion, ABC plus CBD plus DBE equals 180°

<em>Hope this helped!</em>

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Anna71 [15]

Answer:

x = (-27)/11

Step-by-step explanation:

Solve for x:

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Put each term in (-11 x)/54 - 1/2 over the common denominator 54: (-11 x)/54 - 1/2 = (-27)/54 - (11 x)/54:

(-27)/54 - (11 x)/54 = 0

(-27)/54 - (11 x)/54 = (-11 x - 27)/54:

(-11 x - 27)/54 = 0

Multiply both sides of (-11 x - 27)/54 = 0 by 54:

(54 (-11 x - 27))/54 = 54×0

(54 (-11 x - 27))/54 = 54/54×(-11 x - 27) = -11 x - 27:

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0×54 = 0:

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Add 27 to both sides:

(27 - 27) - 11 x = 27

27 - 27 = 0:

-11 x = 27

Divide both sides of -11 x = 27 by -11:

(-11 x)/(-11) = 27/(-11)

(-11)/(-11) = 1:

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Multiply numerator and denominator of 27/(-11) by -1:

Answer:x = (-27)/11

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3 years ago
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Answer:

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4 0
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Step-by-step explanation:

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