When using the X method to solve, you can plug in the values given to you in the answers. 8 and 11 multiplied does equal 88 but when added they don't equal to 26 so A is wrong. 4 and 22 do equal 26 but when multiplied, they don't equal to 88 so B is also wrong. 22 and 4 added together equals 26 and multiplied it equals to 88. So C is your answer.
Answer:
<u><em>54</em></u>
Step-by-step explanation:
Answer:
Option C) Quadratic regression model
Step-by-step explanation:
Quadratic regression model
- It is regression model in which states a non-linear relationship between the independent and dependent variables.
- It includes the dependent variable and the square of the independent variable.
where x is the independent variable and
is the dependent variable.
- It is also referred to as second-order polynomial model.
- It is used when the data shape resembles to a parabola.
Thus, the correct answer is
Option C) Quadratic regression model
Multiply the denominators with the numerators and write in one line, then solve for d.
(1) ∠ABC = 65°, ∠DBE = 65°, ∠CBE = 115°, ∠ABD = 115°
(2) ∠ABC = 62°, ∠DBE = 62°, ∠CBE = 118°, ∠ABD = 118°
Solution:
(1) In the given image ABC and DBE are vertical angles.
<u>Vertical angle theorem:</u>
If two angles are vertical then they are congruent.
⇒ ∠ABC = ∠DBE
⇒ 3x° + 38° = 5x° + 20°
Arrange like terms one side.
⇒ 38° – 20° = 5x° – 3x°
⇒ 18° = 2x°
⇒ x° = 9°
∠ABC = 3(9°) + 38° = 65°
∠DBE = 5(9°) + 20° = 65°
Adjacent angles in a straight line = 180°
⇒ ∠ABC + ∠CBE = 180°
⇒ 65° + ∠CBE = 180°
⇒ ∠CBE = 115°
∠ABD and ∠CBE are vertical angles.
∠ABD = 115°
(2) In the given image ABC and DBE are vertical angles.
⇒ ∠ABC = ∠DBE
⇒ 4x° + 2° = 5x° – 13°
Arrange like terms one side.
⇒ 13° + 2° = 5x° – 4x°
⇒ 15° = x°
∠ABC = (4(15°) + 2°) = 62°
∠DBE = 5(15°) – 13° = 62°
Adjacent angles in a straight line = 180°
⇒ ∠ABC + ∠CBE = 180°
⇒ 62° + ∠CBE = 180°
⇒ ∠CBE = 118°
∠ABD and ∠CBE are vertical angles.
∠ABD = 118°