The measure of each angle is 159° and 21°.
<h3>
What are supplementary angles?</h3>
- When two straight lines or rays intersect at a single endpoint, an angle is created.
- The vertex of an angle is the location where two points come together.
- The Latin word "angulus," which means "corner," is where the word "angle" originates.
- Two angles are considered to be supplementary if their sums total 180 degrees.
- For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.
So, supplementary angles = 180
Then,
- 2x + 138 = 180
- 2x = 180 - 138
- 2x = 42
- x = 21
- 21 + 138 = 159
Therefore, the measure of each angle is 159° and 21°.
Know more about supplementary angles here:
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Answer:
Aceleracion = 4 m/s²
Step-by-step explanation:
Dados los siguientes datos;
Velocidad inicial = 10 m/s
Velocidad final = 70 m/s
Tiempo, t = 12 segundos
Para encontrar la aceleración;
Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.
Matemáticamente, la aceleración viene dada por la fórmula;
Sustituyendo en la fórmula, tenemos;
Aceleracion = 4 m/s²
5x + y = 9....multiply by 7
10x - 7y = -18
----------------
35x + 7y = 63 (result of multiplying by 7)
10x - 7y = -18
----------------add
45x = 45
x = 45/45
x = 1
5x + y = 9
5(1) + y = 9
5 + y = 9
y = 9 - 5
y = 4
solution is : (1,4)
=========================
-4x + 9y = 9
x - 3y = -6 ....multiply by 4
----------------
-4x + 9y = 9
4x - 12y = -24 (result of multiplying by 4)
---------------add
- 3y = - 15
y = -15/-3
y = 5
x - 3y = -6
x - 3(5) = -6
x - 15 = -6
x = -6 + 15
x = 9
solution is : (9,5)
Let's choose 43° to be our angle. We know the opposite, and want to know the hypotenuse. Sine is the trig. we use for opposite over hypotenuse.
sinθ = opposite/hypotenuse
sin(43)=27/x
We want to isolate <em>x</em>, so that looks like:
x = 27/sin(43)
Therefore, the value of x is 27/0.682 or ≈39.589 or F
