Step-by-step explanation:
30°, 60°, 90° triangle theorem states that:
Lengths of the side opposite to 60° angle is equal to root 3 upon two times of the length of hypotenuse and side opposite to 30° angle is equal to 1 upon two times of the length of hypotenuse.
Mathematically it can be expressed as:
Answer:
La cantidad de dinero
Celia tiene = x = 9.33 €
Quique tiene = y = 4.67 €
Step-by-step explanation:
Representemos la cantidad de dinero
Celia tiene = x
Quique tiene = y
Entre Celia y Quique suman 14 €.
x + y = 14
x = 14 - y
Si Celia tuviera 1 euro, tendría el doble de dinero que Quique.
Por lo tanto,
x = 2 años
Nosotros sustituimos
2y + y = 14
3 años = 14
y = 14/3
y = 4.67 €
x = 14 € - y
x = 14 € - 4.67 €
x = 9.33 €
Por lo tanto,
La cantidad de dinero
Celia tiene = x = 9.33 €
Quique tiene = y = 4.67 €
Answer:
The measure of angle K is 118°
Step-by-step explanation:
The sum of the internal angles of a quadrilateral is 360°. So, in this case, we can formulate the following equation:
K + L + M + J = 360°
Where K, L, M, and J represent the measure of the angle K, L, M and J respectively.
From the figure we know that: L is 46°, M is 118° and J is 78°. Replacing these values on the initial equation and solving for K we get:
K + 46° + 118° + 78° = 360°
K + 242° = 360°
K = 360° - 242°
K = 118°
So, the measure of angle K is 118°
Hope this helps :)
Both 17/10 and 2 4/5 should be rounded up in preparation for this estimation.
17/10 is close to 2 and 2 4/5 is close to 3. Thus, your estimated answer should be
2/3, or approx. 0.6666....
Exact answer: divide 17/10 by 14/5. LCD is 10, so convert 14/5 to 28/10.
Now divide 17/10 by 28/10. Answer: 17/28 = approx. = 0.607 approx.
These two results are comparable: 0.6666.... and 0.6071 ....
The 8 is in the ones place.
The 1 is in the tenths place.
The 3 is in the hundredths place.
The 9 is in the thousandths place.
hope it helps!
