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2 years ago

Determine whether it is possible to construct a triangle with angle measures 93°, 61°, and 26°.

Mathematics

2 answers:

lidiya [134]2 years ago

5 0

Answer:

Step-by-step explanation:

Find the sum of the angle measures. If it is 180, then triangle can be constructed.

If sum of the angles are more than or less than 180, triangle cannot be constructed

93 + 61 + 26 = 180

Sum of the angle measures is 180, so triangle can be constructed.

I am Lyosha [343]2 years ago

4 0

Answer:

YES, it is possible.

Step-by-step explanation:

A triangles angles must always add up to 180 degrees... 93 + 61 + 26 = 180!

Hope this helps ; )

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2 years ago

Given: measure of angle KJ = 124°, measure of IC =38°<br><br> Find: m∠CQJ, m∠LIJ.

VLD [36.1K]

Answer:

Part 1) $m$

Part 2) $m$

Step-by-step explanation:

Part 1) Find the measure of angle CQJ

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

$m$

$arc\ IK+arc\ CJ=360\°-(arc\ IC+arc\ KJ)$

substitute the values

$arc\ IK+arc\ CJ=360\°-(38\°+124\°)=198\°$

$m$

Part 2) Find the measure of angle LIJ

step 1

Find the measure of angle IJL

we know that

The inscribed angle is half that of the arc it comprises.

$m$

substitute the values

$m$

step 2

Find the measure of angle ILJ

we know that

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

$m$

substitute the values

$m$

step 3

Find the measure of angle LIJ

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In the triangle LIJ

$m$

substitute the values

$m$

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2 years ago

A local florist buys a dozen roses for x dollars. He plans to sell the roses at a 40 % mark-up. What expression shows the sellin

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Answer:

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2 years ago

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Answer:

Step-by-step explanation:

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The answer is

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