Answer:
We know the most repeated value is mode. so here the most repeated term is 29.
Mode = 29
2(n-9) = 3(n + 5)
2n - 18 = 3n + 15
2n - 3n = 15 + 18
-n = 33
n = -33
Answer:
m∠1 = 63°
m∠2 = 49°
m∠3 = 87°
m∠4 = 44°
Step-by-step explanation:
From the given figure
∵ ∠2 and 49° are vertically opposite angles
∵ The vertical opposite angles are equal in measures
∴ m∠2 = 49°
∵ The sum of the interior angles of a Δ is 180°
∵ m∠1, m∠2, and 68° are interior angles of a Δ
∴ m∠1 + m∠2 + 68° = 180°
∵ m∠2 = 49°
∴ m∠1 + 49° + 68° = 180°
→ Add the like terms in the left side
∴ m∠1 + 117 = 180
→ Subtract 180 from both sides
∴ m∠1 = 63°
∵ ∠3 and 93° formed a pair of linear angles
∵ The sum of the measures of the linear angles is 180°
∴ m∠3 + 93° = 180°
→ Subtract 93 from both sides
∴ m∠3 = 87°
∵ 93° is an exterior angle of the triangle
∵ The measure of the exterior angle of a Δ at one vertex equals the sum
of the measures of the opposite interior angles to this vertex
∵ ∠4 and 49° are the opposite interior angles to 93°
∴ 49° + m∠4 = 93°
→ Subtract 49 from both sides
∴ m∠4 = 44°
Answer:
x = 7
Step-by-step explanation:
When 2 secants are drawn from an external point to a circle.
The product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is
5(5 + x) = 6(6 + 4) ← distribute and simplify both sides
25 + 5x = 6 × 10
25 + 5x = 60 ( subtract 25 from both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Xints are where y=0
0=x^2+4x-12
0=(x-2)(x+6)
x-2=0
x=2
x+6=0
x=-6
(x,y)
xints are
(2,0) and (-6,0)
