Answer: To answer your question: If two of the angles of two triangles are the same, the triangles are similar. ... If two of the angles are known, the third can be found by subtracting the two known angles from 180. If the three angles of two triangles are the same, the triangles have the same shape and are similar.
Step-by-step explanation:: I have now explained to you why the Angle- Angle Triangle Similarity Theorem works i hope Iwas able to help good luck
Bank balance after 15 years is $950
Step-by-step explanation:
- Step 1: Find the simple interest on the principal amount using the formula SI = PRT/100 where Principal (P) = $500, Rate of Interest (R) = 6% and Time(T) = 15 years
⇒ SI = 500 × 6 × 15/100 = $450
- Step 2: Find total amount using the formula Amount = P + SI
⇒ Amount = 500 + 450 = $950
Answer:
i think $4,417.50
Step-by-step explanation:
74.4 GB + 7.56 GB = 81.96 GB (Total memory) >>To get the total memory add the available space and the used space.
(7.56 GB ÷81.96 GB) 100 = % >>To compute the percentage, divide the used space by the total space, and then multiply the result/quotient by 100.
(0.0922) 100 = 9.22%
Answer:
(A)
(D)
Step-by-step explanation:
We want to determine which of the expression is equivalent to:
![\sqrt[3]{128}^ x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B128%7D%5E%20x)
By the law of indices:
![\sqrt[3]{128}=128^{1/3}\\$Therefore:\\\sqrt[3]{128}^ x \\=(128^{1/3})^x\\=128^{x/3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B128%7D%3D128%5E%7B1%2F3%7D%5C%5C%24Therefore%3A%5C%5C%5Csqrt%5B3%5D%7B128%7D%5E%20x%20%5C%5C%3D%28128%5E%7B1%2F3%7D%29%5Ex%5C%5C%3D128%5E%7Bx%2F3%7D)
Similarly:
![\sqrt[3]{128}^ x \\=\sqrt[3]{64*2}^ x\\=(4\sqrt[3]{2})^ x\\=(4(2^{1/3}))^x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B128%7D%5E%20x%20%5C%5C%3D%5Csqrt%5B3%5D%7B64%2A2%7D%5E%20x%5C%5C%3D%284%5Csqrt%5B3%5D%7B2%7D%29%5E%20x%5C%5C%3D%284%282%5E%7B1%2F3%7D%29%29%5Ex)
