Question

pls I need help help if u solved this u will get 100 point s​

Answer 1

14→ In the given isosceles triangle ABC , Find The value of the base angle

Solution

• ∠ A=40°
• AB=AC

We know that

• It two Lines are equal then the opposite angle will be Equal .

Therefore,

• ∠B=∠C. -----(1)

In ∆ABC ,we have

∠A=40°, ∠B=∠C, ∠C=∠B

We know that

Sum of all angles in a triangle is 180°

$\sf{\dashrightarrow ∠A+∠B+ ∠C=180°}$

$\sf{\dashrightarrow 40+∠B+∠B =180°}$

$\sf{\dashrightarrow 2∠B =140}$

$\sf{\dashrightarrow ∠B = {70}^{0} }$

• ∠C=∠B
• ∠C=70°

Therefore

• The angle of the isosceles ∆ are 40, 70 and 70.

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1→

Given

• Principal=₹1200
• Rate = 6%
• Time= 146 dday's= 2/5 year's

To Find

• Simple interest and Amount

Formula used

$\begin{gathered}\\ \boxed{ \sf{SI= \dfrac{Principal×Rate×Time}{100}}}\\\end{gathered}$

Where

• SI= Simple interest

$\sf{\dashrightarrow SI= \dfrac{1200×6× \frac{2}{5} }{100 }}$

$\sf{\dashrightarrow SI= \dfrac{240×6× 2 }{100 }}$

$\sf{\dashrightarrow SI= \dfrac{24×12 }{10 }}$

$\sf{\dashrightarrow SI= \dfrac{288 }{10 }}$

$\sf{\dashrightarrow SI= 28.8 }$

We know that:-

$\\\begin{gathered} \\ \boxed{\sf{Amount= Principal + simple interest}}\end{gathered}$

${\sf{Amount= 1200 + 28.8}}$

${\sf{Amount= 12 28.8}}$

• Simple interest= ₹28.8
• Amount= ₹1228.8

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2→Solve; 3(2x+5)=2(x+10)

$\dashrightarrow\sf 3(2x+5)=2(x+10)$

$\dashrightarrow\sf6x+15=2x+20$

On transfering 15 to RHS and 2x to LHS

$\dashrightarrow\sf6x - 2x=20 - 15$

$\dashrightarrow\sf4x=5$

$\dashrightarrow\sf \: x= \dfrac{5}{4}$

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3→ Find CP when SP= ₹1365 and Loss= 9%

We know that

$\boxed{\bf{CP= \dfrac{100×SP}{100-Loss\%}}}$

$\sf{CP= \dfrac{100×1365}{100 - 9}}$

$\sf{CP= \dfrac{136500}{91}}$

$\sf{CP= 1500}$

• The Cost Price= ₹1500

Answer 2

Step-by-step explanation:

14) Given :

• Given triangle is isosceles , so sides sides and angles of triangle are equal .

To Find :

• Value of base triangle

Solution :

Let us assume that other two angles are x°

By Angle sum property:

x+x+40=180

2x=140

x=140/2

x=70°

•°• Value of base triangle is 70° .

Question:

Find the amount and simple interest on ₹1200 at 6% p.a for 146 days.

Answer :

Given:

• P = ₹1200
• R =6%
• T = 146/365 = 2/5 years

To Find:

• Simple interest

Solution:

Formula Used :

$\boxed{ \tt{ \pink{S \: .I = \frac{P \times T \times R}{100}}}}$

$: \implies \bf \red{S.I = \frac{1200 \times 6 \times 2}{500}}$

$: \implies \bf \red{S.I = 28.8}$

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Question:

3(2x+5) = 2(x+10)

Answer :

$: \implies \tt \purple{3(2x + 5) = 2(x + 10)}$

$: \implies \tt \purple{6x + 15 = 2x + 20}$

$: \implies \tt \purple{4x = 5}$

$: \implies \tt \purple{x = \frac{5}{4}}$

Proof :

$: \implies \tt \orange{3(2( \frac{5}{4}) + 5) =( 2( \frac{5}{4} ) + 10)}$

$: \implies \tt \orange{ \frac{15}{2} + 5 = \frac{5}{2} + 10}$

$: \implies \tt \orange{ \frac{15 + 10}{2} = \frac{5 + 20}{2}}$

$: \implies \tt \orange{ \frac{25}{2} = \frac{25}{2}}$

•°• Hence Proved !!

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Answer:

Formula Used:

CP= 100×SP/100-Loss%

Solution:

CP= 100×1365/100 - 9

CP= 136500/91

CP= ₹1500

•°• The Cost Price= ₹1500

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