Answer:
x = 25°
Step-by-step explanation:
Applying,
Sum of the angle in the triangle = 180°
From the diagram,
First angle of the triangle = 55° (vertically opposite angles are equal)
Second angle of the traingle = 180-80 = 100° (sum of the angle in a straight line)
Third angle of the triangle = x
Therefore,
x+55+100 = 180
x+155 = 180
x = 180-155
x = 25°
Answer: ![(-\infty, -4]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-4%5D)
Curved parenthesis at negative infinity
Square bracket at -4
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Work Shown:
The last inequality shown above is the same as saying 
Converting this to interval notation leads to the final answer of ![(-\infty , -4]](https://tex.z-dn.net/?f=%28-%5Cinfty%20%2C%20-4%5D)
Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.
Answer: 1/4
Step-by-step explanation:
In a stack of 24, the 2 mediums are odd and even cards in this question. This means that 1/2 the cards are even and 1/2 are odd. To get a even card once is a 1/2 chance, then to get it again is 1/2 x 1/2 chance or 1/4 chance. This is what I think.
68= 4x-2+30 (notice they are vertical angles)
68= 4x+28
40=4x
10=x
68+y= 180 (forms a straight angle)
y=112
Final answer: x=10, y=112
