The probability that she will draw 2 letters is 65/126.
Hi there!
Answer:
<u><em>A. 12. x=12 and 12=x</em></u>
Step-by-step explanation:
addition property of equality is adding the same number both sides of an equation does not change the equation.
subtraction property of equality is subtraction the same number from both sides of an equation does not change the equation.
multiplication property of equality is multiplying both sides of an equation by the same number does not change the equation.
division property of equality is dividing both sides of an equation by the same number non-zero number does not change the equation.
x-6=14-8
subtract by 6 both sides of an equation.
x-6=6
add by 6 both sides of an equation.
x-6+6=6+6
simplify.
6+6=12
x=12
12-6=6
Hope this helps!
-Charlie
Have a great day!
There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.
We can deduct it as well.
1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°
2) Draw a chord from F to D and other chord from D to E.
You have constructed two triangles, FOD and DOE.
3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.
4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.
5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.
This is a + a + b + b + (360 - central angle) = 360°
=> 2a + 2b = central angle
=> 2(a+b) = cantral angle
=> (a+b) = central angle / 2 = 151° / 2 =71.5°
(a+b) is the angle that you are looking for.
Then the answer is 71.5°
Answer:
24
Step-by-step explanation:
36 is 1.5 times 24. Than x must be 1.5 times 16. So it must be 24.
There are 2 ways to get 6 by withdrawing 3 counters:
1,2 and 3
and 2, 2 and 2.
Probability ( drawing 1 , 2 and 3 in that order) = 2/9 * 3/8 * 4/7 = 24/504 = 1/21
there are 6 ways to draw any combination of 1,2 and 3 so this gives
6 * 1/21 = 2/7
probability of drawing 2,2 and 2 = 3/9 * 2/8 * 1/7 = 1/84
so the answer is 2/7 + 1/84 = 25/84