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snow_tiger [21]
3 years ago
13

Triangle XYZ is isosceles. Angle Y measures a°. What expression represents the measure of angle X?

Mathematics
1 answer:
lara [203]3 years ago
4 0
The isosceles triangle has two sides congruent which mean they are equal. If two sides are equal, it also means that two angles are equal. 

For triangle XYZ, we have angles shown below:
∠X + ∠Y + ∠Z = 180°

If ∠Y = a°, then we can have the expression for ∠X such as shown below:
∠X + a° + ∠Z =180°
∠X= 180° - a° - ∠Z

If ∠Z = ∠Y, then we have the final expression:
∠X = 180° -2a°
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Answer:

1.2 > 1.13

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Step-by-step explanation:

Each blank large square represents 1 (as in the whole number 1)

The large squares with vertical lines have been divided into 10 equal parts. Therefore each strip = 1 ÷ 10 = 0.1

The large squares that have a grid of small squares have been divided into 100 squares.  Therefore, each small square = 1 ÷ 100 = 0.01

Therefore, you need to color each accordingly.

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Once colored, you should then be able to compare the colored sections and decide which section is visually bigger, smaller (or equal)

1)  1.2 : color the entire large blank square to represent the "1", then color the first 2 strips in the adjacent square to represent the ".2"

1.13 : color the entire large blank square and 13 of the small squares.

1.2 > 1.13

2) 2.38 : color both large blank squares, then color 38 of the small squares

2.3 : color both large blank squares, then color 3 of the strips

2.38 > 2.3

3) 1.40 : color the large blank square, then color 40 of the small squares

1.4 : color the large blank square, then color 4 of the strips

1.40 = 1.4

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