Answer:
n = 13
Step-by-step explanation:
20= -6+2n
Add 6 to each side
20+6= -6+6+2n
26 = 2n
Divide each side by 2
26/2 = 2n/2
13 =n
Answer:
1/1 chance
Step-by-step explanation:
The lowest sum the die could add up to is 2. 2>1
So that means that on every roll, the sum of the two die will add to a number greater than one.
Solve for x:
2 (6 - x) = x (x + 5)
Expand out terms of the left hand side:
12 - 2 x = x (x + 5)
Expand out terms of the right hand side:
12 - 2 x = x^2 + 5 x
Subtract x^2 + 5 x from both sides:
-x^2 - 7 x + 12 = 0
Multiply both sides by -1:
x^2 + 7 x - 12 = 0
x = (-7 ± sqrt(7^2 - 4 (-12)))/2 = (-7 ± sqrt(49 + 48))/2 = (-7 ± sqrt(97))/2:
Answer: x = (-7 + sqrt(97))/2 or x = (-7 - sqrt(97))/2
<u>Given</u>:
The measure of arc AB is (4y + 6)°
The measure of arc BC is (20y - 11)°
The measure of arc AC is (7y - 7)°
We need to determine the measure of arc ABC.
<u>Value of y:</u>
The value of y is given by
Substituting the values, we get;
Adding the like terms, we have;
Adding both sides of the equation by 12, we have;
Thus, the value of y is 12.
<u>Measure of arc ABC:</u>
The measure of arc ABC can be determined by adding the measure of arc AB and arc BC.
Thus, we have;
Substituting y = 12, we get;
Thus, the measure of arc ABC is 283°
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
