Answer:
The completed proof is presented as follows;
The two column proof is presented as follows;
Statements Reason
1. ║ , J is the midpoint of 1. Given
2. ∠IHJ ≅ ∠JLK 2. Alternate angles are congruent
3. ∠IJH ≅ ∠KJL 3. Vertically opposite angles
4. ≅ 4. Definition of midpoint
5. ΔHIJ ≅ ΔLKJ 5. By ASA rule of congruency
Step-by-step explanation:
Alternate angles formed by the crossing of the two parallel lines and , by the transversal are equal
Vertically opposite angles formed by the crossing of two straight lines and are always equal
A midpoint divides a line into two equal halves
Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent ≅ , then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.
<h2>Hello!</h2>
The answer is:
- Venus, with 468° C (degrees Celsius).
- Earth, with 15° C (degrees Celsius).
- Mars, with -29° C (degrees Celsius).
- Saturn, with -139° C (degrees Celsius).
- Neptune, with -201°C (degrees Celsius).
<h2>Why?</h2>
Decreasing order of their temperatures means ordering from the higher to the lower temperatures, so:
- Venus, with 468° C (degrees Celsius).
- Earth, with 15° C (degrees Celsius).
- Mars, with -29° C (degrees Celsius).
- Saturn, with -139° C (degrees Celsius).
- Neptune, with -201°C (degrees Celsius).
Remember, when we are talking about sub-zero temperatures, the rule of what number is bigger than other, is inverted, for example, -201° C is lower than -139° C, meaning that the "bigger" the number, the lower the temperature. On the opposite side, if we are talking about not sub-zero temperatures (over 0°C) the "bigger" the number, the higher the temperature.
Have a nice day!
Answer:
sin 3 θ = 3 sin θ - 4 sin³θ
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given sin 3 θ
= sin ( 2θ + θ )
apply trigonometric formula
<em> sin ( A + B) = sin A cos B + cos A sin B </em>
<em> sin 2 A = 2 sin A cos B</em>
<em> Cos 2 A = 1 - 2 sin² A </em>
<em> cos ² A - sin ² A = 1</em>
<u><em>Step(ii):</em></u>-
sin 3 θ = sin ( 2θ + θ )
= sin 2θ cosθ + cos2θ sin θ
= 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ
= 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ
= 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ
= 2 sin θ - 2sin³θ + sin θ- 2 sin³ θ
= 3 sin θ - 4 sin³θ
<u><em>Final answer</em></u> :-
sin 3 θ = 3 sin θ - 4 sin³θ
Answer:
Compares the y- value of the predicted value and the actual value.
Is random when the function fits the data well
Step-by-step explanation:
Answer:
V≈213.73
Step-by-step explanation: