Answer:
x = 91
Step-by-step explanation:
The opposite angles of an inscribed quadrilateral are supplementary, that is
∠ A + ∠ C = 180, thus
x + 89 = 180 ( subtract 89 from both sides )
x = 91
Answer:
a = 6
Step-by-step explanation:
-6(2 + a) = -48
it is basically 2 steps
Divide by -6 first
(2 + a) = -48 / -6
2 + a = 8
minus the 2
a =6
Answer:
90 calories in a banana.
Step-by-step explanation:
O = B - 20 where O is the number calories in an orange and B is a that in banana.
Also 7B = 9O
From the above O = 7B / 9 so substituting in the first equation:
7B / 9 = B - 20
7B = 9B - 180
2B = 180
B = 90.
Answer:
r = 13
Step-by-step explanation:
Hypotenuse is the side opposite to 90 degree angle, so hypotenuse is r.
Also, with respect to the angle given, the side "12" is the opposite.
So we have opposite side to angle and we need hypotenuse. Which trigonometric ratio related opposite with hypotenuse? It is SINE.
So we can write:

Rounded to nearest whole number, r = 13
2.60

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