Answer:
In order to do so, we need to use basic algebra. The angles in a kite add up to 360 degrees. so we form the following equation.
x + y + y + 16 = 360
x + y + y = 344 <----(360 -16)
Each letter or variable represents an angle measure. the measures of the three angles left. The 16 degrees is on the bottom of the kite and the angle opposite is the top angle. the two side angles will be the same measure that's why they are both y.
x + 2y = 344
The two side angles will be 90 or greater because there is only 1 acute angle. 90 is the smallest number that can be chosen. so we do the following.
Step-by-step explanation:
x + 2(90) = 344
x + 180 = 344
x = 344-180
x = 164
THE MAXIMUM WHOLE NUMBER MEASURE OF THE ANGLE OPPOSITE OF THE 16 DEGREE ACUTE ANGLE IS 164 DEGREES*
Answer:
Step-by-step explanation:
Angle sum property of triangle: Sum of all the angles of a triangle is 180
Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of each of these lines but on the opposite side of the transversal are called alternate interior angles
In ΔABC,
∠1 + 90 + 38 = 180 {angle sum property of triangle}
∠1 + 128 = 180
∠1 = 180 - 128
AB // CD and AC is transversal.
{Alternate interior angles are equal}
In ΔACD,
∠2 + ∠3 + 63 = 180 {angle sum property of triangle}
∠2 + 38 +63 = 180
∠2 + 101 =180
∠2 = 180 - 101
Answer:
Step-by-step explanation:
84 = 2 * 2 *3 * 7
If b is in the first position then c can be in any 1 of the remaining 6 positions.
If we start with ab then the letter c can be in any one of 5 positions and if we have aab there are 4 possible positions for c and so on.
So the total number of possible sequences where b comes first = 6+5+4+3+2+1 = 21.
The same argument applies when c comes before b so that gives us 21 ways also.
So the answer is 2 *21 = 42 different sequences.
A more direct way of doing this is to use factorials:-
answer = 7! / 5! = 7 * 6 = 42.
( We divide by 5! because of the 5 a's.)
Answer:
The table is show clearly in the figure attached.
P(boy if favourite activity is swimming) = 8/17 = 0.47
P(girl if favourite activity is sport) = 7/27 = 0.26
P(girl if favourite activity is reading) = 4/6 = 0.67
P(boy if favourite activity is sport) = 20/27 = 0.74
P(favourite activity is swimming if a girl) = 9/20 = 0.45
P(favourite activity is reading if a boy) = 2/30 = 0.07
P(favourite activity is swimming if a boy) = 8/30 = 0.27
P(favourite activity is reading if a girl) = 4/20 = 0.2
