In the diagram of circle o, what is the measure of ZABC? O 30° O 40° O 50° O 60

Mathematics

2 answers:

denpristay [2]3 years ago

7 0

Answer:

30°

Step-by-step explanation:

Line AB and BC are tangents to the given circle.

$\angle \: ABC = \frac{1}{2} ( 210 - 150)$

$\angle \: ABC = \frac{1}{2} (60) = 30 \degree$

Alternatively, <ABC and <AOC are supplementary because AB and BC are tangents.

$\angle \: ABC + 150 \degree = 180 \degree$

$\angle \: ABC = 180 \degree - 150 \degree = 30 \degree$

The correct choice is A.

netineya [11]3 years ago

3 0

Answer:30

Step-by-step explanation:

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The polynomial x 3 + 5x 2 - 57x -189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If t

Ipatiy [6.2K]

V=x^3+5x^2-57x-189
Width: W=(x+3) in = 15 in →x+3=15
Solving for x:
x+3-3=15-3→x=12

With x=12 the Volume would be:
V=(12)^3+5(12)^2-57(12)-189
V=1,728+5(144)-684-189
V=1,728+720-684-189
V=1,575

V=W*D*H
Depth: D
Height: H
with H>D

V=1,575; W=15
Replacing in the equation above:
1,575=15*D*H
Dividing both sides by 15
1,575/15=(12*D*H)/15
105=D*H
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D<H
If D=5→H=3*7→H=21
If D=7→H=3*5→H=15

Answer: Option <span>C. height: 21 in. depth: 5 in.
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Please, see the attached file for another form to solve the problem