Mathematics High School

Line AC is tangent to circle O at point C
What is the measure of OAC?

Line AC Is Tangent To Circle O At Point CWhat Is The Measure Of OAC?

Answers

Answer 1
AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees

The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180

Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees

Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90. 
Answer 2

The measure of m<OAC is 45degrees

Tangent line to a circle

From the given diagram, we can see that the line A is tangential to the circle at point C, hence m<C = 90 degrees

Taking the sum of angle in a triangle

m<OAC + 45 + 90 = 180

m<OAC = 180 - 135

m<OAC = 45 degrees

Hence the measure of m<OAC is 45degrees

Learn more on circle geometry here: https://brainly.com/question/25306774

Related Questions

please help whoever answers all questions correct will get brainlist

Answers

1. 6137/9 = 681.88 = 682 weeks

2. 124 +150 +161 = 435/3 = 145 average

3. 2*5.00 = $10.00 + 6.25 = $16.25

4. 28*2 = 56, 26*2 =52, 56+52 = 108 feet of fence

5. 7 *2 = 14 hours

4 + (27 - 12 ∙ 2) ÷ 2.

Answers

4 + (27 - 12 ∙ 2) ÷ 2
= 4 + (27 - 24) ÷ 2
= 4 + (3) ÷ 2
= 4 + 1.5
= 5.5
Decimal form - 5.5

Mixed number form- 5 1/2

Exact form- 11/2

Hi this is for texaschic101 mainly but anyone else is fine too.
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I’ve just done this question based on what texaschic101 told me on the other question, can anyone check if I’ve done it right? Thanks
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Question is find the values of x and y in the diagram.

Answers

Because the two angles on the right add to 180 degrees, we can create this system:

[tex](2x + 25) + y = 180[/tex]

We can also prove that [tex]3x = 2x + 25[/tex], which, when solved, shows that [tex]x = 25[/tex]. 

When plugged in to the original equation, we find that y = 105 degrees. 

Help,, what is y??????????????????

Answers

check the picture below.

John has 305 and he spending 3 each day which algebraic expression describes this situation where d represents the number of days

Answers

305 = 3d

d = number of days

hope this helps

Please help fast and answer all questions thank you.

Answers

1) a. OSL
2) i think is b. linear pair
3) d.vertical angles

When asked his age, the algebra teacher said, “if you square my age, then subtract 23 times my age, the result is 50.” how old is he?

Answers

Let the age be x.

Given,

[tex] x^{2} - 23x = 50[/tex]

[tex] x^{2} - 23x - 50 = 0[/tex]

[tex] x^{2} - 25x + 2x - 50 = 0[/tex]

[tex] x(x -25)+2(x-25)=0[/tex]

[tex](x+2)(x-25)=0[/tex]

Hence, x = -2 or 25.

Since, the age of the teacher cannot be in negative, the age of the teacher is 25 years.

If EG=50,and point F is 2/5 of the way between E and G

Answers

2/5 of 50 is 20. 50-20=30. Making FG=30

The measure of the segment EF = 20 and the measure of the FG is 30.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the segment EG is 50 and the ratio of EF to EG is 2 to 5. The length of the segment EF and FG will be calculated as,

EF / EG = 2 /5

EF = ( 2 x EG ) / 5

EF = ( 2 x  50 ) / 5

EF = 2 x 10

EF = 20

The length of the segment FG will be calculated as,

EF / FG = 2 / 3

FG = ( 3 x EF ) / 2

FG = ( 3 x 20 ) / 2

Fg = 3 x 10

FG = 30

To know more about line segments follow

brainly.com/question/2437195

#SPJ2

A line has a rise of 6 and a slope of 1/20. Find the run of the line. Type a numerical answer in the space provided. If necessary, use the / key to represent a fraction bar.

Answers

y=0.05x+6

6 is the y intercept

.05 or 1/20 is the slope

Answer:

120 is the run of the line

Step-by-step explanation:

Hello, i think I can help you with this

By definition , the slope of a line is given by:

slope(m)=Δy/Δx

where m is the slope, Δy is the rise, and Δx is the run

Step 1

isolate the run (Δx)

m=Δy/Δx

m=Δy/Δx

m*Δx=Δy

Δx=Δy/m

step 2

pute the values into the formula

Let

Δy=6

m=1/20

Δx=Δy/m

Δx=6÷(1/20)

Δx=120

the run of the line is 120

Do not hesitate to ask me any questions,Have a fantastic day.

In the circle shown below T is the center of the circle, and segments PN and SQ are diameters, and segment PR is tangent to the circle. The measure of angle SQN is 66 degrees

33 degrees
42 degrees
66 degrees
48 degrees

Answers

Angle SQN = 66 degrees (given)
----------------------------
Use the inscribed angle theorem to get

Minor Arc SN = 2*(angle SQN)
Minor Arc SN = 2*(66)
Minor Arc SN = 132 degrees
----------------------------
Arc PSN is a semicircle so it is 180 degrees, meaning that...

Arc PSN = (minor arc PS) + (minor arc SN)
180 degrees = (minor arc PS) + (132 degrees)
180 = (minor arc PS) + 132
180 - 132 = (minor arc PS) + 132 - 132
48 = minor arc PS
minor arc PS = 48 degrees
central angle RTP = minor arc PS = 48 degrees
----------------------------
Focus on triangle PTR; isolate angle PRT

(angle TPR) + (angle PRT) + (angle RTP) = 180
(90) + (angle PRT) + (48) = 180
(90+48) + (angle PRT) = 180
138 + (angle PRT) = 180
138 + (angle PRT) - 138 = 180 - 138
angle PRT = 42 degrees
----------------------------
----------------------------
Final Answer: 
The measure of angle PRT is 42 degrees

How to find the angle of a non right triangle with its sides?

Answers

Essentially, you find the cos, sin, or tangeant of each angle. Take, for example, sin. It's opposite/hypotenuse, so you plug that in for an angle and find that sinx=for example, 3/4. After that, you'd find arcsin (3/4) and that's your angle!

How many subsets of three elements each exist in a set of six elements?

Answers

How many subsets of three elements each exist in a set of six elements?
6C3 = (6*5*4)/(1*2*3) = 20

Really need help with #57!

Answers

now, when the candle fully burns, its final height "h" is 0, because, well the candle is not longer standing, it burned completely all you have is a bunch of hot wax on the candle holder, so h = 0.

[tex]\bf r=\sqrt{\cfrac{kt}{\pi (h_o-h)}}\qquad \begin{cases} h=0\\ r=0.875\\ h_o=6.5\\ k=0.04 \end{cases}\implies 0.875=\sqrt{\cfrac{0.04t}{\pi (6.5-0)}} \\\\\\ \textit{now we square both sides}\quad 0.875^2=\cfrac{0.04t}{65\pi }\implies 65\pi \cdot 0.875^2=0.04t \\\\\\ \cfrac{65\pi \cdot 0.875^2}{0.04}=t\implies \stackrel{minutes}{3908.58}\approx t[/tex]

which is 65 hours and 8 min and about 35 seconds.  Or 2 days and 17 hours and 8 mins and 35 secs.

Last year, 1300 procedures were performed on 3900 patient visits. 33% of your patient visits involved a procedure. If you are able to increase that percentage to 45%, what is the number of procedures you will do this year?

Answers

Let x = number of procedures
      y = number of patient visits
      n = % (in decimal form) 

Note:
Percentage form = 33%
Decimal form = 0.33
Conversion factor:   1 = 100%

Considering the first statement that 33% or 0.33 is derived from dividing 1300 procedures with 3900 patient visits.Then, our working formula is x/y = n.

If we are ask to increase the percentage to 45% or 0.45, then substitute this value to n in the formula. We subsequently get, 

x/y = 0.45

Assuming the patient visits remains the same and substitute it in the formula. We subsequently get,

x/3900 = 0.45

Solving for x. We arrive at an answer of x = 1755 procedures.

Is the following relation a function?

Circle centered at the origin with radius 1

Yes
No

Answers

No, if you do the vertical line test( draw a vertical line on each graph line that hits the circle) if the lline touches more than one point AT ANY TIME it is not a function. So in this case it is not a function


Answer:

Nooooooooooooo

what is the solution of -3p+4<22?

Answers

-3p+4<22
4-22<3p
-18<3p
-18/3<p
-6<p
p>-6

Which equation correctly applies the distributive property? ​ 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25) ​ ​ −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67 ​ ​ (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2) ​ ​ −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08) ​

Answers

the third one........hope this helps

Answer:

The correct equation that applies the distributive property is:

[tex]\[ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 \][/tex]

Explanation:

The distributive property states that for any real numbers [tex]\( a \), \( b \), and \( c \):[/tex]

[tex]\[ a \cdot (b + c) = a \cdot b + a \cdot c \][/tex]

Let's see which equation correctly applies the distributive property:

1. [tex]\( 2.4 \cdot (-3.4) \cdot (-1.25) = (-3.4) \cdot 2.4 \cdot (-1.25) \)[/tex]

  This equation doesn't correctly apply the distributive property. It just switches the order of multiplication, which doesn't demonstrate the distributive property.

2. [tex]\( -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 \)[/tex]

  This equation correctly applies the distributive property. It breaks down the multiplication of [tex]\( -2.5 \) and \( (4 \cdot 3.67) \)[/tex] into two separate multiplications.

3. [tex]\( (42 \cdot 3.5) + (42 \cdot 1.3) + (42 \cdot 5.2) = 42 + (3.5 + 1.3 + 5.2) \)[/tex]

  This equation doesn't apply the distributive property. It simply adds the products on the left side and compares it to the sum of the terms on the right side, which doesn't demonstrate the distributive property.

4. [tex]\( -3 \cdot (6.48) = (-3 \cdot 6) + (-3 \cdot 0.4) + (-3 \cdot 0.08) \)[/tex]

  This equation correctly applies the distributive property. It breaks down the multiplication of \( -3 \) and \( 6.48 \) into three separate multiplications.

So, the correct equation that applies the distributive property is:

[tex]\[ -2.5 \cdot (4 \cdot 3.67) = (-2.5 \cdot 4) \cdot 3.67 \][/tex]

Find the next two numbers in the pattern.
−12,60,−300,1500,
​−, , . . .

Answers

It is -7500 and 37500.

One day a store sold 21 sweatshirts. white ones cost​ $9.95 and yellow ones cost $ 11.50. in​ all, ​$235.30 worth of sweatshirts were sold. how many of each color were​ sold?

Answers

For this problem you have yo set up two equations.

White shirts = w Yellow shirts = y

1st: w + y = 21
2nd: 9.95w + 11.50y = 235.30

Now we're going to do system of equations using substitution.

If w + y = 21, then y = 21 - w
If y = 21 - w, then you can substitute this in the second equation for y.

9.95w + 11.50(21 - w) = 235.30
9.95w + 241.5 - 11.50w = 235.30
-1.55w + 241.5 = 235.30
-1.55w = -6.2
w = 4, so 4 whites shirt were sold.

Now I'm finding out how many yellow shirts were sold using one of the two equations at the top.

w + y = 21
4 + y = 21
y = 17

So 17 yellow shirts were sold and 4 white shirts were sold.

What are the intercepts of 5x = 2y +4??

Answers

The y intercepts are when x=0 (the line crosses the y axis) and the x intercepts are when y=0  (the line crosses the x axis). Plugging x=0 in, we get 5*0=2y+4. Subtracting 4 from both sides, we get -4=2y and by dividing both sides by 2 we get y=-2, for one intercept to be (0, -2). For the other intercept, we make y=0 to get 5x=2*0+4=4. Dividing both sides by 4, we get x=4/5, making our other intercept (4/5, 0)

A rectangular auditorium seats 1564 people. the number of seats in each row exceeds the number of rows by 1212. find the number of seats in each row.

Answers

We can safely assume that 1212 is a misprint and the number of seats in a row exceeds the number of rows by 12. Let r = # of rows and s = # of seats in a row. Then, the total # of seats is T = r x s = r x ( r + 12), since s is 12 more than the # of rows. Then r x (r + 12) = 1564 or r**2 + 12*r - 1564 = 0, which is a quadratic equation. The general solution of a quadratic equation is: x = (-b +or- square-root( b**2 - 4ac))/2a In our case, a = 1, b = +12 and c = -1564, so x = (-12 +or- square-root( 12*12 - 4*1*(-1564) ) ) / 2*1 = (-12 +or- square-root( 144 + 6256 ) ) / 2 = (-12 +or- square-root( 6400 ) ) / 2 = (-12 +or- 80) / 2 = 34 or - 46 We ignore -46 since negative rows are not possible, and have: rows = 34 and seats per row = 34 + 12 = 46 as a check 34 x 46 = 1564 = total seats

Darrel is currently 20 feet below sea level. which correctly describes the opposite of darrel's elevation?

Answers

Answer:

Darrel is 20 ft above sea level.

Step-by-step explanation:

We have been given that Darrel is currently 20 feet below sea level.

This means that Darrel's elevation would be [tex]-20[/tex] ft.

The opposite of Darrel's elevation would be negative of [tex]-20[/tex] ft.

[tex]-(-20)=20[/tex]

Since opposite of Darrel's current elevation is positive 20 ft, therefore, Darrel is 20 ft above sea level.

What is the solution to x^2-8x+18=0 when written in the form a+or-bi?

Answers

THE ANSWER IS THE LAST ONE

There are 250 students taking either band or chorus. if there are 180 students taking band and 60 students in both band and chorus, how many students are only in chorus? 10 60 70 120

Answers

there are only 70 students in chorus.


I think the answer is: "70"

15% of 20 is _____.
3
30
300

Answers

15% of 20 is 3 

Hope this helped..

Answer:

It would be 3

Step-by-step explanation:

The length of a rectangle is 3 more than 4timesthe width . If the length of the rectangle is 27 feet what is the width

Answers

To answer this question, you need to translate the description into a formula. The formula that can be made should be: length of rectangle= 3+ (4* rectangle width). You already know the length, so you can find the width by inserting it to the formula. The calculation would be:

Length= 3+ 4*width
27ft= 3ft+ 4*width
4*width= 27ft-3ft= 24ft
width= 6ft

Thad and his four family members are going to the fair. admission to the fair costs $8. books of ride tickets are $15. thad has $200. how much money will he have for food and souvenirs?

Answers

So first you have to do 5*8=40
And then 5*15=75
And add them together and you get
75+40=115
200-115=85
And you got 85 for food and souvenirs

What is the difference between associative and distributive property?

Answers

Distributive property is when you are distributing the problem into a smaller problem. Associative property is when you have a problem with just addition or subtraction, and you can put the parenthesis anywhere and still get the same answer

How can I factor 5r^2+23r+26

Answers

use quatratic formula

Answer:the factors are r= -2 or r= -2.6

Step-by-step explanation:

5r^2+23r+26=0

The equation cannot factorized

So the general formula would be used

r = [-b +-√(b^2 -4ac)]/2a

a = 5

b =23

c = 26

r =[ -23+-√(23^2-4×5×26)]/2×5

= [-23+-√529-520)]/10

=(-23+-√9)/10

=(-23+-3)/10

r = (-23+3)/10 or r= (-23-3)/10

r= -20/10 or r= -26/10

r= -2 or r= -2.6

What is the annual bonus for a salesperson who sells 55 cars?

A.150
B.825
C.1,500
D.8,250

Por favor necesito
ayuda(please i need help)

Answers

825
1,800/120 = 15
55 x 15 = 825

Answer:

$825 dollars

Step-by-step explanation:

is the answer i belive hope this helps

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