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Dmitry_Shevchenko [17]
2 years ago
7

Find the measure of each missing angle.

Mathematics
1 answer:
nadya68 [22]2 years ago
5 0

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180

Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of  each of these lines but on the opposite side of the transversal are called  alternate interior angles

In ΔABC,

  ∠1 + 90 + 38 = 180    {angle sum property of triangle}

         ∠1 + 128 =  180

               ∠1     = 180 - 128

            \sf \boxed{\bf  \angle 1     = 52^ \°}

AB // CD and AC is transversal.

 \sf \boxed{\bf  \angle 3 = 38^\circ}   {Alternate interior angles are equal}

In ΔACD,

      ∠2 + ∠3 + 63 = 180 {angle sum property of triangle}

       ∠2 + 38 +63  = 180

               ∠2  + 101 =180

                         ∠2 = 180 - 101

                      \sf \boxed{\bf  \angle 2 = 79^ \°}

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Given :

Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters.

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To Find :

How many dimes and quarters in Lulu holding?

Solution :

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Let, number of dimes and quarter are x and y.

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10x + 25( 20 - x ) = 410

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Step-by-step explanation:

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Substitute values.

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3. To calculate the number of cubes that are needed to fill the rectangular prism (which you can call <em>n) </em>, you must divide the volume of the prism by the volume of a cube. Then:

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