For what value of K does the following system have an infinite number of solutions?
x + 2Ky - 8 = 0
2x - y - 16 = 0
In ΔDEF, DE = 12 cm, EF = 15 cm, and ∠DEF = 90°. ΔDEF is congruent to ΔXYZ. If YZ = 15 cm, then what is the length of XZ?
3\(\sqrt{41}\) cm
2\(\sqrt{41}\) cm
5\(\sqrt{41}\) cm
4\(\sqrt{41}\) cm
Simplify the following expression
\(\,133 \div 19 \times 3 - 48 \times 2 \div 24 + 841 \div \overline{[(45 - 16)]}\,\)
General English
Sentences of a paragraph are given below in jumbled order. Select the option that arranges the sentences in the correct logical sequence to form a meaningful and coherent paragraph.
a. It regulates the operation of all body organs and protects the body and mind from becoming unbalanced as a result of negative circumstances and unhealthy lifestyles.
b. It only requires frequent practice of the proper body motions and breathing techniques.
c. The physical benefits of yoga can be enjoyed for a lifetime without risk or injury.
d. It regulates the relationship between the body, the intellect, and the spirit. .