Can you please help. Evaluate angles d and e, giving reasons for your answer. ​

<d = 25 degrees and <e = 130 degrees

Step-by-step explanation:

We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.

<d = 25 degrees

The interior angles of a triangle add up to 180 degrees, and we now have 2 angles, so:

<e = 180 - 25 - d

<e = 155-25

<e = 130 degrees

<d = 25 degree and <e = 130 degree

Step-by-step explanation:

Let <d, <e and <f be the respective angles

<f = 25 degree (Vertically opposite angles are equal)

side fe = side ed (given)

Therefore, <f = <d (angles opposite to equal sides are equal)

Therefore, <d = 25 degree

<d + <e + <f = 180 degrees (Angle sum property)

25 + 25 + <e = 180

50 + <e = 180

<e = 180 - 50

<e = 130 degree

Therefore, <d = 25 degree and <e = 130 degree

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means if you're already damaged some way when you take out a medical insurance you will not get full compensation for that injury that you already have.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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