Using the sum (addition) and two 2-digit addends, 12 + 34 can be answered without regrouping.
Answer:
b
Step-by-step explanation:
We are given the following expression:
![\sqrt[3]{875}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B875%7D)
We can factor 875 as:
![\sqrt[3]{125\times7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%5Ctimes7%7D)
Now we will use the following property:
![\sqrt[x]{a\times b}=\sqrt[x]{a}\times\sqrt[x]{b}](https://tex.z-dn.net/?f=%5Csqrt%5Bx%5D%7Ba%5Ctimes%20b%7D%3D%5Csqrt%5Bx%5D%7Ba%7D%5Ctimes%5Csqrt%5Bx%5D%7Bb%7D)
Applying the property:
![\sqrt[3]{125}\times\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%7D%5Ctimes%5Csqrt%5B3%5D%7B7%7D)
Solving the cubic root on the left:
![5\sqrt[3]{7}](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B7%7D)
Since we get simplify any further this is the answer.
Answer
∠ABD ≅ ∠CBE is correct statement
It is given that ∠ABC ≅ ∠DBE,
Here vertex B is common for two triangles.It implies that,
∠ABCand ∠DBE are pair of vertically opposite angles. (vertically opposite angles are equal.
∠ABC ≅ ∠ABD False. (Ab is common, These angles are adjacent s angles)
∠ABD ≅ ∠CBE True.(B is the common vertex, another pair of vertically opposite angle))
∠CBD ≅ ∠DBE Fasle
∠CBD ≅ ∠ABC False