Answer:
∠ CDA = 32.3°
Step-by-step explanation:
See the given figure attached to this answer.
Draw perpendiculars from B and C on AD which is BE and CF.
Now, Δ ABE is a right triangle and AE² = AB² - BE² = 7.5² - 6² = 20.25
⇒ AE = 4.5 cm
Now, DF = AD - EF - AE = 24 - 10 - 4.5 = 9.5 cm {Since BC = EF}
And CF = BE = 6 cm.
Now, Δ CFD is a right triangle and
{Where β = ∠ CDA}
⇒ 
Degree.
So, ∠ CDA = 32.3° {Correct to one decimal place} (Answer)
The vertex is on the axis of symmetry, so the axis of symmetry is x = 3. Find any two x-intercepts that have the equivalent distance from the axis of symmetry. Use those x-intercepts to write factors of the function by subtracting their values from x. For example, 2 and 4 are each 1 unit from x = 3, so f(x) = (x – 2)(x – 4) is a possible function.
Answer:
x = 17
Step-by-step explanation:
∠6 and ∠7 are vertically opposite angles and thus are congruent, hence
4x = 2x + 34 ( subtract 2x from both sides )
2x = 34 ( divide both sides by 2 )
x = 17
Answer:
33/2
Step-by-step explanation:
6 1/2 ---> 13/2
10 ---> 20/2
13/2 + 20/2 =
33/2
First you must set f (x) =15:
15 = 2x - 5
Now you must solve like a normal equation:
15 = 2x - 5 )+5
20 = 2*x ):2
10 = x
ANSWER: The value of x is 10
