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Lesechka [4]
3 years ago
11

PLEASE HELP QUICKLY I WILL MARK BRAINLIEST AND IF YOU ARE TRYING TO GET FREE POINT I WILL REPORT YOU

Mathematics
2 answers:
Ganezh [65]3 years ago
8 0
The meaning of a quadrilateral inscribed in a circle is that the angles on the opposite vertices are supplementary or in other words equals to 180 degrees.

On this exercise is asked you to find the measure in degrees of angle A. First of all, you have to find the value of x. To do this you have to select two angles on this case angles B and D.

m<B+m<D=180       Substitute the values of angles B and D
       148+x=180        Subtract 148 in both sides to isolate x
               x=32

Now that the value of x is known, you can substitute it into the expression representing angle A.

m<A=2x+1
m<A=2(32)+1
m<A=65

The measure of angle A is 65 degrees.

Juliette [100K]3 years ago
5 0
<B+<D = 180
x+148 = 180
x = 32

<A = 2(32) + 1
<A = 64+1
<A = 65
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What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32
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Answer:

Option (d) is correct.

\sqrt{10000x^{64}}=100x^{32}

Step-by-step explanation:

Given : Expression \sqrt{10000x^{64}}

We have to write a simplified form of the given expression \sqrt{10000x^{64}}

Consider the given expression \sqrt{10000x^{64}}

\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0

=\sqrt{10000}\sqrt{x^{64}}

Factor 10000 as 10000=100^2

\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a

\sqrt{100^2}=100

also, \mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0

We have,

\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}

Thus, \sqrt{10000x^{64}}=100x^{32}

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