Given that ACE is an isosceles triangle, the measure of ∠CDB is: 55°
<h3>What is an Isosceles Triangle?</h3>
The two base angles of any isosceles triangle are always congruent to each other.
Therefore:
m∠CBD = m∠CDB
m∠CBD = 180° - 125° (supplementary angles)
m∠CBD = 55°
Therefore:
m∠CBD = m∠CDB = 55°
In summary, given that ACE is an isosceles triangle, the measure of ∠CDB is: 55°
Learn more about isosceles triangles on:
brainly.com/question/11884412
A is true. Thus D is also true. The result of the synthetic division shows C is true.
The appropriate choices are ...
A. (x - 2) is a factor of 3x² - 11x + 10
C. (3x² - 11x + 10) ÷ (x - 2) = (3x - 5)
D. The number 2 is a root of F(x) = 3x² - 11x + 10
Answer:
quadratic
Step-by-step explanation:
Given
x²y - 2xy - 24y ← factor out y from each term
= y(x² - 2x - 24) ← quadratic factor
To factor the quadratic
Consider the factors of the constant term ( - 24) which sum to give the coefficient of the x- term (- 2)
The factors are - 6 and + 4, since
- 6 × 4 = - 24 and - 6 + 4 = - 2, hence
x² - 2x - 24 = (x - 6)(x + 4) and
x²y - 2xy - 24y = y(x - 6)(x + 4) ← in factored form
Volume of sphere is
V=4/3pi r^3
Where r is 2 in this example so,
V= 10.67 pi
V= 33.51
Cost of 12 pack gum = 12* 33 = 396 cent = 3 dollar 96 cent
