Ones and tens thats the anwers
Answer:
x = 13 1/2 or 13.5
Step-by-step explanation:
Flip Equation
-38 - 12x = -200
-12x -38 = -200
Add 38 to both sides
-12x -38 + 38 = -200 + 38
-12x = -162
Divide
-12x/-12 = -162/-12
x = 27/2
Simplify
27/2 = 13 1/2
x = 13 1/2
Answer:
a) 
b) 
c) 
Step-by-step explanation:
The question is incomplete:
<em>(a) What is the probability that Celia is first in line? (b) What is the probability that Celia is first in line and Felicity is last in line? (c) What is the probability that Celia and Felicity are next to each other in the line?</em>
a) The probability that Celia is first in line, if there are n kids and all of them have the same chance, is 1/n.

b) The probability that Celia is first in line and Felicity is last in line is
.
It is deducted like that:
If Celia is placed in the first line (what has a probablity of 1/n), there are left (n-1) kids. Then, the probability of placing Felicity in the last place is 1/(n-1).
Both probabilities multiplied give 1/(n*(n-1)).
c) The probability that Celia and Felicity are next to each other in the line is

There are n! combinations for kids lines, where (n-1)! permutations have Celia before Felicity and other (n-1)! permutations have Felicity before Celia.
Then, we have 2(n-1)! permutations that have Celia and Felicity next to each other, over n! permutations possible.
Answer: The answers are (a) 40 cm and (b) 
Step-by-step explanation: The calculations are as follows:
(a) See the figure (a). As given in the question, A circle with centre 'O' circumscribes a triangle ABC with BC = 20 cm and ∠BAC = 30°. We need to find the diameter DC of the circle.
Let us draw BD. Now, ∠BAC and ∠BDC are angles on the same arc BC, so we have
∠BAC = ∠BDC = 30°.
Also, ∠CBD = 90°, since it stands on the diameter DC. So, ΔBCD will be a right angled triangle.
We can write

Thus, the diameter of the circle = 40 cm.
(b) See the figure (b).
As given in the question, A circle with centre 'O'' circumscribes a triangle DEF with EF = 4.6 inches and diameter GF = 12.4 in.. We need to find the angle EDF.
Let us draw GE. Now, ∠EGF and ∠EDF are angles on the same arc EF, so we have
∠EGF = ∠EDF = ?
Also, ∠GEF = 90°, since it stands on the diameter GF. So, ΔGEF will be a right angled triangle.
We can write

Thus,

Answer:
4 units to the left
Step-by-step explanation: