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emmasim [6.3K]
3 years ago
7

In the following diagram it is know that AC≅BC, DE⊥AD, and m∠C=106°. Using this information find m∠E.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
6 0

Answer:

Angle E is 53 degrees.

Step-by-step explanation:

Let's start with the ABC triangle first.

Since AC=BC, angle A and angle B are equal.

We know that the interior angles of a triangle add up to 180.

106 + A + B = 180

A + B = 74

A = B = 37

Moving on to the BDE triangle.

We have angle B = 37 (it's an opposite angle).

We know that angle D is 90, since this is a right triangle.

90 + 37 + E = 180

E = 53

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The charge for 30 days will be $720 and for 22 numbers of days of people can attend the camp.

<h3>How to form an equation?</h3>

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

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