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tatiyna
4 years ago
7

What expression represents the measure of angle x?

Mathematics
1 answer:
Dennis_Churaev [7]4 years ago
5 0
An isosceles triangle is a triangle that has 2 equal sides and 2 equal angles. 

side XY = side XZ
∠Y = ∠Z
Since ∠Y = a°  then ∠Z = a°

Because interior angles of a triangle sum up to 180°, we simply need to find the difference between 180° and the 2 known angles to solve for the measure of angle X.

∠X = 180° - 2a°
  
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Together Kate and Matt have 47 cards. If Kate and Zach combine cards they have 126. If Matt and Zach combine they have 93. How m
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Answer:

Matt has 7 cards.

Step-by-step explanation:

Let K, M and Z represent number of cards that Kate, Matt and Zach have.

We have been given that together Kate and Matt have 47 cards. We can represent his information in an equation as:

K+M=47...(1)

We are also told that Kate and Zach combine cards they have 126. We can represent his information in an equation as:

K+Z=126...(2)

Further, Matt and Zach combine they have 93. We can represent his information in an equation as:

M+Z=93...(3)

Upon subtracting equation (3) from equation (2), we will get:

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K-M=33

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Upon substituting this value in equation (1), we will get:

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Therefore, Matt has 7 cards.

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