Answer:
36m^2
Step-by-step explanation:
Divide the figure into 2 rectangles with the dimensions : 6 x 3 and 2 x 9
Then, use the rectangle area formula A = b * h
18 + 18 = 36
21
Step-by-step explanation:
because
7b
=7 × b
=7 × 3(b=3)
=21
Answer:
Step-by-step explanation:
Adjacent angles must sum to 180 degrees.
x+32=180
x=148 degrees
Answer as a fraction = 1/720
Answer in decimal form (approximate) = 0.001388
Answer in percent form (approximate) = 0.1388%
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Explanation:
Let A = 1 to indicate the number of ways to get the names to line up in alphabetical order.
There are B = 6*5*4*3*2*1 = 720 different ways to arrange the six people. Notice how I started at 6 and counted my way down to 1, multiplying all along the way. This can be shortened to factorial notation to say 6! = 720. Or you could use the nPr permutation formula to get the same result (use n = 6 and r = 6).
Once you have the values of A and B, we form the fraction A/B = 1/720 which is the probability of getting the names in alphabetical order.
If you need the answer in decimal form, then use your calculator to find
1/720 = 0.001388
which converts over to 0.1388%
Answer: 1. False.
2.True.
3.True.
4.False.
5.True.
6.False.
Explanation:
1.∠XFG is lying between the one side and the line extended to the next side of the triangle, therefore it is an exterior angle.
2.∠EFG is lying between the two sides of the ΔEFG, therefore it is an interior angle of the triangle.
3.∠FEZ is lying between the one side and the line extended to the other side of ΔEFG.
4.∠YGE is a straight line it is between the one side and the line extended to the same side ∴ it cannot be an exterior angle of the triangle.
5.∠EGF and FGY lying on the same line YZ ,∴they are linear pair i.e. they are supplementary angles.
6.∠FEG and ∠FGE are both the interior angles of a triangle and we know that for supplementary angles they should lie on the same line.Therefore ∠FEG and ∠FGE are not supplementary angles.