Answer:
b is 10 degrees and a is 64 degrees.
Step-by-step explanation:
Properties of a parallelogram needed for this problem: Opposite angles are congruent and adjacent angles are supplementary, meaning they add to 180 degrees.
This means that in the picture, 2a and 12b+8 are equal, while 2a and 5b+2 are supplementary.
From this we can make two equations:
2a=12b+8
and
2a+5b+2=180
If we subtract 5b+2 in the second equation, both equations will equal 2a. I'll explain why that's good. We end up with:
2a=12b+8
and
2a=180-5b-2
Now, we can set the two equations equal to each other because they both equal the same thing. Then simplify.
12b+8=180-5b-2
17b=170
b=10
Knowing b is 10 degrees, we can easily plug that back into one of our original two equations. I'll choose 2a=12b+8.
2a=12(10)+8
2a=120+8
2a=128
a=64
b is 10 degrees and a is 64 degrees.
There are, 3 x 2 x 1 = 6 possible ways of arranging the three digits. Therefore in that set of 720 possibilities, each unique combination of three digits is represented 6 times. So 720 different combinations are possible.
Answer: 14.14 ft²
Step-by-step explanation: To calculate the area of a semicircle, use this formula:
The radius for this circle is 3 because the diameter of this desk is 6. The radius is half of the diameter. Now, use the formula with the radius.
The question asks you to round to the nearest hundredth place, so the final answer you get is 14.14 ft².
Hope this helped! ;)
Answer:
d : 2m - 3
Step-by-step explanation:
m = max's height
2m = 2 times max's height
m + m - 3 = Susan's height
2m - 3 = Susan's height
Answer:
For 6 its B
Step-by-step explanation:
For 7 its A
