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777dan777 [17]
1 year ago
14

EASY POINTS Classify the triangle below by its angles and sides.

Mathematics
1 answer:
fomenos1 year ago
6 0

Answer:

equilateral

Step-by-step explanation:

equilateral sides are equal and the angles aswell

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Michael is 4 years younger than twice his cousin, Damien’s age. The sum of their ages is 46. How old is Damien?
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White raven [17]

Answer:

Part 1) The measure of arc EHL is 108\°

Part 2) The measure of angle LVE is 54\°

Step-by-step explanation:

step 1

Let

x-----> the measure of arc EHL

y----> the measure of arc EVL

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

m

we have

m

substitute

72\°=\frac{1}{2}(y-x)

144\°=(y-x)

y=144\°+x ------> equation A

Remember that

x+y=360\° -----> equation B ( complete circle)

substitute equation A in equation B and solve for x

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y=144\°+x

y=144\°+108\°=252\°

therefore

The measure of arc EHL is 108\°

The measure of arc EVL is 252\°

step 2

Find the measure of angle LVE

we know that

The inscribed angle measures half that of the arc comprising

Let

x-----> the measure of arc EHL

m

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m

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1.2x = 5.16

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