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4 years ago

What is the measure of angle a and angle c ?

Mathematics

1 answer:

hjlf4 years ago

5 0

Answer:

∠A = 40°

∠C = 32°

Step-by-step explanation:

Inscribed angles that intercept the same arc have the same measure.

∠A intercepts the same arc (CD) as ∠B, so has the same measure, 40°.

∠C intercepts the same arc (AB) as ∠D, so has the same measure, 32°.

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a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma

NeX [460]

Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

$y = 2x + 3$

also

y is equal to twice the sum of the smaller number and 1.

$y = 2x + 1$

so the system of equations become

$y = 2x + 3$

$y = 2x + 1$

solving

$\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}$

$\mathrm{Subsititute\:}y=2x+1$

$\begin{bmatrix}2x+1=2x+3\end{bmatrix}$

$\mathrm{Refine\:}2x+1=2x+3$

$-2=0$

$-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}$

$\mathrm{No\:Solution}$

Therefore, there is NO solution.

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3 years ago

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Andrej [43]

Answer:

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Step-by-step explanation:

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tigry1 [53]

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Step-by-step explanation:

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