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2 years ago

Find the value of x in the diagram shown below.

Mathematics

2 answers:

koban [17]2 years ago

5 0

Answer:

a) <u>∡ADC = 270°</u>

b) <u>∠DAE = 38°</u>

Step-by-step explanation:

Using Inscribed Angle Theorem :

∡ADC = 2 x ∠ABC
∡ADC = 2 x 135°
<u>∡ADC = 270°</u>

Similarly :

∠DAE = 1/2 x ∡DE
∠DAE = 1/2 x 76°
<u>∠DAE = 38°</u>

Sloan [31]2 years ago

5 0

Answer:

a) arc ADC = 270°

b) angle DAE = 38°

Step-by-step explanation:

An inscribed angle is half the measure of the arc it subtends. The converse of this is that the arc is twice the measure of the inscribed angle that subtends it.

Arc ADC is twice the measure of inscribed angle ABC, so is ...

Arc ADC = 2 × 135° = 270°

Angle DAE is half the measure of the arc it subtends, so is ...

Angle DAE = 1/2 × 76° = 38°

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1 year ago

8.45 At some point in the season, the Unicorns had won 60% of their basketball games. After that point, they won 8 more games an

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Answer:

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Step-by-step explanation:

We are given with a word problem
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Step 2: Finding the number of unicorns played during the season

Step 1 of 2

Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is $\frac{60}{100} \times(x-10)$

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$\begin{gathered}\frac{60}{100}(x-10)+8=\frac{60}{100} \times x-\frac{60}{100} \times 10+8 \\0.6 x-6+8=0.6 x+2\end{gathered}$

Step 2 of 2

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Equating both the equation gives

$\begin{gathered}0.6 x+2=0.65 x \\2=0.65 x-0.6 x \\2=0.05 x \\\frac{2}{0.05}=x \\40=x\end{gathered}$

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2 years ago

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Step-by-step explanation:

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Answer:

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Read 2 more answers