<span>Information is given(reasons are in the parenthesis)
Angle A and angle B are supplementary. Angle B and Angle C are supplementary (given)
DC is parallel to AB (consecutive interior angles are supplementary )
BC is parallel to AD (consecutive interior angles are supplementary)
ABCD is a parallelogram (definition of parallelogram, has to pairs of parallel sides)</span>
Answer:
Letter A is your answer
Step-by-step explanation:
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You want to figure out what the variables equal to, all of these are parallelograms meaning opposite sides and angles are equal to each other.
In question 1 start with 3x+10=43, this means that 3x is 10 less than 43 which is 33, 33 divided by 3 is 11 meaning x=11.
Same thing can be done with the sides 124=4(4y-1), start by getting rid of the parentheses with multiplication to get 124=16y-4, this means that 16y is 4 more than 124, so how many times does 16 go into 128? 8 times, so x=11 and y=8
Question 2 can be solved because opposite angles are the same in a parallelogram, so u=66 degrees
You can find the sum of the interial angles with the formula 180(n-2) where n is the number of sides the shape has, a 4 sided shape has a sum of 360 degrees, so if we already have 2 angles that add up to a total of 132 degrees and there are only 2 angles left and both of those 2 angles have to be the same value then it’s as simple as dividing the remainder in half, 360-132=228 so the other 2 angles would each be 114, 114 divided into 3 parts is 38 so u=66 and v=38
Question 3 and 4 can be solved using the same rules used in question 1 and 2, just set the opposite sides equal to each other
Answer:2
Step-by-step explanation:
There is 2 decimal places because you see how many numbers there are behind each of the decimals when multiplying then add them and that’s how many numbers are behind the decimal in the problem
Answer:
50%
Step-by-step explanation:
The interval between the first quartile,25-th percentile, (155) and the third quartile, 75-th percentile, (196) comprises 50% of the sample data.
The desired interval is from 155 to 195 pounds, which starts exactly at the first quartile and ends just one pound short of the third quartile. Since this sample has a large number of men and a range of 102 pounds, that one pound difference can be neglected. Therefore, the percent of men who gave a response that falls in the interval 155 to 195 pounds can be guessed to be roughly 50%.
