Answer:
see explanation
Step-by-step explanation:
given
g(x) = 3x² - 5 then g(t) = 3t² - 5
Also g(t) = - t, hence
3t² - 5 = - t
multiply both sides by 2 to eliminate the fraction
6t² - 10 = - 7t ( add 7t to both sides )
6t² + 7t - 10 = 0 ← in standard form
(t + 2)(6t - 5) = 0 ← in factored form
Equate each factor to zero and solve for t
t + 2 = 0 ⇒ t = - 2
6t - 5 = 0 ⇒ t =
For x -
180 = 4x + 6 + 11x - 6
180 = 15x
= x
x = 12
For m∠ABD -
4(12) + 6
48 + 6
m∠ABD = 54
For m∠DBC -
11(12) - 6
132 - 6
m∠DBC = 126
Answer:
x = 12° ;m∠ABD= 54° ; m∠DBC=126°
Step-by-step explanation:
∠ABD + ∠DBC = ∠ABC
Here ,
∠ABC is a straight line .
We know,
A straight angle is 180 degrees.
So,
∠ABD + ∠DBC = 180°
⇒(4x+6)° + (11x-6)° =180° [given]
⇒15x =180°
⇒x = (180/15)° [divide both sides by 15]
∴ x = 12°
Now,
∠ABD = (4x+6)° [given]
={(4 . 12) + 6 }°
=(48+6)°
=54°
And,
∠DBC = (11x-6)° [given]
={(11 .12)-6}°
=(132 - 6)°
=126°
Answer:
17 angles
Step-by-step explanation:
(n - 2) * 180 = 2700 degrees - the sum of enterior angles,
where n is the number of angles of the given polygon
(n - 2) = 2700 / 180
n - 2 = 15
n = 15 + 2
n = 17
Answer:
17 sides
Step-by-step explanation:
12x cubed + 15x squared
And 8x - 10x squared