A set is simply the group of numbers.
- <em>The set of M and N are: </em>
<em> and </em>
<em>.</em> - <em>The set of M n N is: </em>
<em>.</em> - <em>The set of M u N is: </em>
<em />
<u>(a) The set of M and N</u>
Given that:
M = squares of integers less than 100
N = Positive odd numbers less than 15
So, we have:
<u>(b) M n N and M u N</u>
M n N is the set of common elements between sets M and N.
So, we have:
M u N is the set of all elements in sets M and N.
So, we have:
Read more about sets at:
brainly.com/question/2332158
Answer:
m∠P ≅ m∠L; this can be confirmed by translating point P to point L.
Step-by-step explanation:
Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:
∠L=∠P
∠Q=∠M
∠N=∠R
Since the 2nd triangle made from dilation, it should maintain its orientation.
Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.
Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.
Option 3 and 4 definitely wrong because it speaking about length, not the angle.
Answer:
x = 16
Step-by-step explanation:
The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.
In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...
... m∠A +m∠B +m∠C = 180°
... (3x+6)° +50° +(9x -68)° = 180°
... 12x -12 = 180 . . . . . divide by °, collect terms
... x -1 = 15 . . . . . . . . . .divide by the coefficient of x
... x = 16 . . . . . . . . . . . add 1
_____
<em>Check</em>
m∠A = (3x+6)° = 54°
m∠C = (9x -68)° = 76°
The total of angles is 54° +50° +76° = 180°. . . . . as it should be
x = player1
y = player 2
z = player 3
y = 2x or 1/2 y =x
y = z-10 or z = y+10
x+y+z=70
substitute x= 1/2 y and z = y+10 into the above equation
1/2y + y + y+10 = 70
2.5 y + 10 = 70
subtract 10 from each side
2.5 y = 60
divide by 2.5 on each side
y = 60/2.5
y =24
x = 1/2 y
x = 1/2 *24 = 12
z = y+10 = 24+10 = 34
The three players scored 12, 24, 34
