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UkoKoshka [18]
3 years ago
12

Measure E is equal to?

Mathematics
2 answers:
Gennadij [26K]3 years ago
7 0

Answer:

114

Step-by-step explanation:

Since DE and EF are equal, DEF is an isosceles triangles.

In isosceles triangle, two angles are equal.

So,

∠F = ∠D = 33

Sum of interior angles in a triangles is 180,

∠D + ∠F + ∠E = 180

33 + 33 + ∠E = 180

∠E = 180 - 33 - 33

∠E = 114

Alborosie3 years ago
6 0

Answer:

E =114

Step-by-step explanation:

The two base angles are equal to 33 since it is an isoscles triangle.  We know that because the two sides are equal.   That means D and F are equal to 33. The sum of the angles of a triangle are 180.  

D+E+F = 180

33+E +33=180

66+E = 180

E = 180-66

E =114

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A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?
Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

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y = a(x - 20)² + 25

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0 = a(0 - 20)² + 25

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The equation of the parabola is therefore;

y = (-\frac{1}{16})(x-20)^2 + 25

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