On Monday, Amie rides her bike from home to school. After school, she bikes to work. After work, she bikes home. Based on the in

The value of x is 12. This can be found using the Pythagorean theorem with c equal to 13 and b equal to 5, where a equals x.

Answer:

The accurate assertions include:

A. m∠6 = 55°

C. m∠1 + m∠4 = 250°

D. m∠1 + m∠6 = m∠7 + m∠4

Step-by-step clarification:

The provided information is as follows:

m∠7 = 55°

The angles formed by the transversal and the upper horizontal parallel line are (starting from the top left and moving in clockwise direction) 1, 2, 4, 3

Likewise, the angles from the transversal and the lower horizontal parallel line are (starting from the top left and going clockwise) 5, 6, 8, 7

Consequently, we have;

m∠7 ≅ m∠6 (Vertically opposite angles are equal)

Thus, m∠6 = m∠7 = 55°

m∠6 = 55°, which aligns with option A.

m∠5 + m∠6 = 180° (The sum of angles on a straight line)

So, m∠5 = 180° - m∠6 = 180° - 55° = 125°

m∠5 = 125°

m∠1 ≅ m∠5 (Corresponding angles)

Thus, m∠1 = m∠5 = 125°

m∠1 ≅ m∠4 (Vertically opposite angles)

Therefore, m∠1 = m∠4 = 125°

Thus, m∠1 + m∠4 = 125° + 125° = 250°

m∠1 + m∠4 = 250°, which corresponds to option C.

m∠1 ≅ m∠4 (Vertically opposite angles)

m∠6 ≅ m∠7 (Vertically opposite angles)

Thus, m∠1 + m∠6 = m∠7 + m∠4 (Transitive property), which matches option D.

Lines EA and FG could be perpendicular to RS.

Respuesta:

(a) 4.98x10⁻⁵

(b) 7.89x10⁻⁶

(c) 1.89x10⁻⁴

(d) 0.5

(e) 2.9x10⁻²

Explicación paso a paso:

La probabilidad (P) de encontrar la partícula está dada por:

 

    (1)

La solución de la integral de la ecuación (1) es:

 

(a) La probabilidad de encontrar la partícula entre x = 4.95 nm y 5.05 nm es:

   

(b) La probabilidad de encontrar la partícula entre x = 1.95 nm y 2.05 nm es:

 

(c) La probabilidad de encontrar la partícula entre x = 9.90 nm y 10.00 nm es:

   

(d) La probabilidad de encontrar la partícula en la mitad derecha de la caja, es decir, entre x = 0 nm y 50 nm es:

(e) La probabilidad de encontrar la partícula en el tercio central de la caja, es decir, entre x = 0 nm y 100/6 nm es:

Espero que te ayude.

To formulate a system of equations for Naomi and Hudson, who work at a dry cleaners where Naomi can iron 35 shirts per hour and Hudson can manage 20 shirts per hour, we know that together they worked 13 hours and completed a total of 395 shirts. Naomi, during her 13 hours, could potentially iron 455 shirts (13 x 35), meaning each hour Hudson worked lessens that number by 15 shirts. The difference of 60 shirts (455 - 395) indicates that Hudson worked for 3 hours and Naomi, therefore, for 10 hours. The resulting equation reflects this relationship: 35Y + 20X = 395.