If r=1/2
then r2 = 1
because 1/2 times 2 is 1
Answer:
7) x= 5, 8) x= 6, 9) x= 7
Step-by-step explanation:
As per the secant theoram, if two secant intersect outside the circle then the product of the exterior secant and total length of each secant are equal.
7) ∴ 
opening parethesis and distributing 3 with x and 3.
⇒ 
subtracting 9 on both side.
⇒ 
cross multiplying
∴ x= 5.
8) 
Opening parethesis and distributing 4 with x and 4.
⇒ 
⇒ 
subtracting 16 on both side.
⇒ 
cross multiplying
∴ x= 6.
9) 
opening parethesis and distributing 5 with x and 5.
⇒ 
subtracting 25 on both side.
⇒ 
cross multiplying
∴ x= 7.
n, n + 2, n + 4 - three consecutive odd ntegers
n + (n + 2) + (n + 4) = 5(n + 2) - 18 |use distributive property
n + n + 2 + n + 4 = (5)(n) + (5)(2) - 18
3n + 6 = 5n + 10 - 18
3n + 6 = 5n - 8 |subtract 6 from both sides
3n = 5n - 14 |subtract 5n from both sides
-2n = -14 |divide both sides by (-2)
n = 7
n + 2 = 7 + 2 = 9
n + 4 = 7 + 4 = 11
Answer: 7, 9, 11.
Supplementary angles have a sum of 180 degrees.
If one angle is x, its supplementary angle is 180-x.
We are told that x is 8 less than triple its supplements so:
x=3(180-x)-8
x=540-3x-8
4x=532
x=133
Answer:
The two integers are 23 and 12
Step-by-step explanation:
Let the two integers be f and g
Let f be the biggest and g the smallest integer
From the first statement, the sum of the two integers is 35 i.e
f + g = 35. (1)
From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i.e
2f — g = 34. (2)
Now we'll solve by elimination method as follows:
Add equation (2) and (1) together:
2f — g = 34
+ f + g = 35
3f = 69
Divide both side by the coefficient of f i.e 3
f = 69/3
f = 23
Substituting the value of f into equation(1)
f + g = 35
23 + g = 35
Collect like terms
g = 35 — 23
g = 12
The two integers are 23 and 12
