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Zina [86]
3 years ago
10

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 components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi
Andru [333]

we can use formula

\theta=tan^{-1}(\frac{a_y}{a_x})

(a)

we are given

a_x=12,a_y=12

now, we can plug values

\theta=tan^{-1}(\frac{12}{12})

\theta=tan^{-1}(1)

\theta=\frac{\pi}{4}rad

(b)

we are given

a_x=20,a_y=12

now, we can plug values

\theta=tan^{-1}(\frac{12}{20})

\theta=tan^{-1}(\frac{3}{5})

\theta=30.96^{\circ \:}

(c)

we are given

a_x=12,a_y=20

now, we can plug values

\theta=tan^{-1}(\frac{20}{12})

\theta=tan^{-1}(\frac{5}{3})

\theta=59.03^{\circ \:}


6 0
2 years ago
Please help me asap ​
Alex_Xolod [135]
The answer would be C
3 0
2 years ago
jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week.
I am Lyosha [343]

Answer:

f=17\\p=9\\

Step-by-step explanation:

Let

f= Full-time\\p=Part-time

Full time rates-$275, Part-time rates-$140

The problem can be expressed as:

f+p=26...eqtn1\\275f+140p=5935....eqtn2\\

Express eqtn1 in terms of f,f=26-p

Substitute f value in eqtn 2.

=>275(26-p)+140p=5935\\7150-275p+140p=5935\\1215=135p\\p=9\\f=26-9=17\\

Therefore,  jeds has 17 fulltime and 9 parttime employees.

8 0
2 years ago
PLZZ HELP ME!!! I DONT UNDERSTAND!
maw [93]

Answer:

the third slot should be 5x+4-9+x

then the last one should be    6x-5

5 0
2 years ago
What is the solution set for | s+4 | = 6?
saveliy_v [14]

Answer:

s=2,−10

Step-by-step explanation:

Find all solutions for s by breaking the absolute value into the positive and negative components.

4 0
1 year ago
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