132* as it’s on the same parallel line
Answer:
Option B) is incorrect
Step-by-step explanation:
Looking at the graph the following points are to be noted.
<em>1) the graph has one maximum and one minimum within the interval.</em>
<em>2)the maximum value is attained at x=8, f(x) = 70</em>
<em>3)The least minimum value attained is at x=0, f(x) = -18</em>
<em>4) the y intercept is attained at x=0, f(x) = -18 ( thus option A is correct)</em>
as the graph decreases then increases within(3,6) and increases then decreases within (1,3) , so options A and D are correct.
And from above option B is wrong
Explanation:
1. ∠BAC≅∠BCA, ∠ABD≅∠ADB; Reason: definition of isosceles triangles
2. ∠ABD +∠BAC +∠ADB = 180°; Reason: sum of internal angles is 180°
3. ∠BAC = 180° -2(∠ABD) = 36°; Reason: Subtraction and substitution properties of equality
4. ∠BAC +∠BCA +∠ABC = 180°; Reason: sum of internal angles is 180°
5. ∠BCA = 180° -2(∠BAC) = 108°; Reason: Subtraction and substitution properties of equality
6. ∠ABD +∠DBC = ∠ABC; Reason: Angle sum theorem
7. ∠DBC = ∠ABC -∠ABD = 108° -72° = 36°; Reason: Subtraction and substitution properties of equality
8. ∠BCA = ∠BAC = 36°; Reason: Substitution property of congruence
9. ΔBCD is isosceles; Reason: Base angles DBC and BCA are congruent.
_____
There may be extra steps involved if you separately use subtraction and substitution properties of equality, or if you separately claim congruence of angles and equality of their measures. We have assumed that the definition of "isosceles triangle" includes the fact of equal side lengths <u>and</u> equal base angles.
