$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2940\\ P=\textit{original amount deposited}\dotfill & \$7000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &7 \end{cases} \\\\\\ 2940=7000(\frac{r}{100})(7)\implies \cfrac{2940}{7000(7)}=\cfrac{r}{100}\implies \cfrac{3}{50}=\cfrac{r}{100} \\\\\\ 300=50r\implies \cfrac{300}{50}=r\implies \stackrel{\%}{6}=r$

4 0

2 years ago

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tatuchka [14]

Answer:

The statement If ∠A ≅ ∠C not prove that Δ ABD ≅ Δ CBD by SAS ⇒ C

Step-by-step explanation:

* Lets revise the cases of congruence

- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and

including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ

≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

and one side in the 2ndΔ

- HL ⇒ hypotenuse leg of the first right angle triangle ≅ hypotenuse

leg of the 2nd right angle Δ

* Lets solve the problem

- In the 2 triangles ABD , CBD

∵ AB = CB

∵ BD is a common side in the two triangles

- If AD = CD

∴ Δ ABD ≅ Δ CBD ⇒ SSS

- If BD bisects ∠ABC

∴ m∠ABD = m∠CBD

∴ Δ ABD ≅ Δ CBD ⇒ SAS

- If ∠A = ∠C

∴ Δ ABD not congruent to Δ CBD by SAS because ∠A and ∠C

not included between the congruent sides

* The statement If ∠A ≅ ∠C not prove that Δ ABD ≅ Δ CBD by SAS

5 0

2 years ago