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3 years ago

In triangle DEF, if the measures of angles D and E are equal, and the measure of

Mathematics

1 answer:

emmasim [6.3K]3 years ago

6 0

Answer:

77 = m∠D = m∠E

Step-by-step explanation:

In a triangle the sum of the measures of the angles = 180. So m∠D + m∠E + m∠F = 180

Let m∠D = m∠E = x

Then x + x + 26 = 180

2x + 26 = 180

2x = 154

x = 77 = m∠D = m∠E

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3 years ago

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olasank [31]

Answer:

<em>Numbers: 6 and -2</em>

Step-by-step explanation:

<u>Equations</u>

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

$x+y=4\qquad\qquad [1]$

$x.y=-12\qquad\qquad [2]$

Solving [1] for y:

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Substituting in [2]

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Operating:

$4x-x^2=-12$

Rearranging:

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$\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}$

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The solutions are:

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This confirms the preliminary results.

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