US
Find the value of x.
80
93
112
y
Z
x = [?]

x = 74°

Step-by-step explanation:

The diagram shown in this question, is a Quadrilateral inscribed in a circle

It is important to note that

The sum of opposite angles in a Quadrilateral = 180°

93° + z = 180°

z = 180° - 93°

z = 87°

In a cyclic quadrilateral,

Intercepted angle = 1/2(Intercepted arc)

Intercepted angle = 93°

Intercepted arc = x + 112°

Hence,

93° = 1/2(x + 112)°

93° × 2 = x + 112°

186° = x + 112°

x = 186° - 112°

x = 74°

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

5+2x=a

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