1) slope-2/3, y-intercept-(0,6)
2) slope- -2/3, y-intercept-(0,-3)
3) slope- 8, y-intercept-(0,-6)
4) slope- 6, y-intercept-(0,-8)
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.
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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.
2^3 = 8
3^2 = 9
8 * 9 * 5 = 360
15 is a factor of 360, so the answer would be <span>1. Fifteen is a factor of the number because both 3 and 5 are prime factors</span>
14x is the slope meaning it goes up 14 and over 1
Whole numbers have no decimal place so answer : B D F - because they have no decimal place.
Hope this helps
