A pair of tangents to a circle which is inclined to each other at an angle of 60 degree are drawn at ends of two radii. The angle between these radii must be :

Answers

Answer 1

Answer:

The angle between these radii must be 120º.

Step-by-step explanation:

According to Euclidean Geometry, two tangents to a circle are symmetrical to each other and the axis of symmetry passes through the center of the circle and, hence, each tangent is perpendicular to a respective radius. We represent the statement in the diagram included below.

Then, we calculate the angle of the radius with respect to the axis of symmetry by knowing the fact that sum of internal angles within triangle equals 180º. That is to say:

[tex]\theta = 180^{\circ}-90^{\circ}-30^{\circ}[/tex]

[tex]\theta = 60^{\circ}[/tex]

And the angle between these two radii is twice the result.

[tex]\theta' = 2\cdot \theta[/tex]

[tex]\theta' = 120^{\circ}[/tex]

The angle between these radii must be 120º.

A Pair Of Tangents To A Circle Which Is Inclined To Each Other At An Angle Of 60 Degree Are Drawn At

Related Questions

-7(x + 9) = 9(x - 5) - 14x Solve for x. SHOW WORK.

Answers

Answer:

x=-9

Step-by-step explanation:

STEP 1: Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

[tex]9(x-5)-14x=-7(x+9)[/tex]

STEP 2: Simplify 9(x−5)−14x.

[tex]-5x-45=-7(x+9)[/tex]

STEP 3: Simplify −7(x+9).

[tex]-5x-45=-7x-63[/tex]

STEP 4: Move all terms containing x to the left side of the equation.

[tex]2x-45=-63[/tex]

STEP 5: Move all terms not containing x to the right side of the equation.

[tex]2x=-18[/tex]

STEP 6: Divide each term by 2 and simplify.

[tex]x=-9[/tex]

Answer:

x= -9

explanation in the pic above

hope it helps.

find the slope of the line√3y-x-2√x

Answers

Please insert a picture of the question

−6x+14<−28 AND3x+28≤25

Answers

Answer:

x<7,x< or = to -1

Step-by-step explanation:

-6x+14<-28

-6x<-28-14

-6x<-42

x<-42÷-6

x<7

[tex]3x \leqslant 25 - 28 \\ 3x \leqslant - 3 \\ x \leqslant - 3 \div 3 \\ x \leqslant - 1[/tex]

The average temperature in May is
63.4º.
The average temperature in January is
42.34º.
About how much warmer is it in May
than in January?

Answers

I think it’s 21.06. If not then sorry

A local school donated canned goods to help the community. Cans were packed into boxes each weighing 16.4 pounds. The volunteers packed 9 boxes. How many total pounds of food did they collect? A. 97.6 B. 147.6 C. 976 D. 1,476

Answers

Answer:

147.6 pounds of food

Step-by-step explanation:

Each box weighed 16.4pounds, if the volunteers packed 9 boxes, we need to calculate the total pounds of food collected. Using the equality postulate;

1 box = 16.4 pounds

9 boxes = x pounds of food

Cross multiply;

1 * x = 9 * 16.4

x = 147.6 pounds of food

Hence the volunteers collected 147.6 total pounds of food

What is the annual interest on a 5,000 loan with a simple interest rate of 6%

Answers

Answer:$50.00

Step-by-step explanation:Each monthly interest is $4.17 so you muiltiply is by 12 and get $50.00 annually

what is the reciprocal of 2 1/2

Answers

Answer:

2/5

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

A fish was 7 feet below sea level and
descended 12 feet. The expression
-7 - 12 represents this situation.
Find –7 – 12 to determine the location of
the fish compared to sea level.

Answers

Answer:

Hi... If we assume the sea level as the origin or zero, the sum of seven and twelve times or nineteen, and because it is under the sea, its sign becomes negative... - 19

Please help me with this problem

Answers

Answer:

The angle of EDA is 45 and I believe BE is 19.

Step-by-step explanation:

can someone help me out i don’t understand

Answers

Answer:

-4

Step-by-step explanation:

180-80=100

100-64=36

36-44=-8

-8/2=-4

5(1 - 2x) = -65
( Multi- Step equations)
Please help:)<3
show steps if you can thank you!:)<4

Answers

Step-by-step explanation:

5(1-2x) = -65

5-10x = -65

65+5 = 10x

70 = 10x

7 = x

x = 7

Answer:

X=7/2

Step-by-step explanation:

5(1 - 2x) = -65

5-20x=-65

-20x=-65-5

-20x=-70

Minus sign cancel from both side

So x=70/20

X=7/2

What is the value of y in the equation 2(4y − 1) = 6? (4 points) a 0 b 1 c 6 d 8

Answers

Answer:

B; 1

Step-by-step explanation:

divide both sides of the equation by 2

4y-1=3

move the constant to the right

4y=3+1

calculate (add the numbers)

4y+4

divide both sides by 4

y=1

Answer:

Step-by-step explanation:

Which relation is a function

Answers

Answer:

Step-by-step explanation:

A function is a relation in which every input or value in the domain is paired with exactly one output or value in range.

Draw vertical to check if there is one output for one input.

Hope it is useful...

An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times?

A. 2 factorial over 7 factorial
B. 7 choose 2 times 0.2 squared times 0.8 to the fifth power
C. 0.2 squared over 0.8 to the fifth power
D. 2(0.2)(0.8)
E. (0.2)2(0.8)5

Answers

Answer:

Step-by-step explanation:

What is the slope of the line through (−1,−7) and (3,9)?

Answers

Answer:

The slope is 4.

Step-by-step explanation:

Point slope form is y-y1 over x-x1. I put the coordinates in like this.

9-(-7) over 3-(-1) so thats 9+7 over 3+1. 16 over 4 is 4.

Answer:

The answer is 2

Step-by-step explanation:

Solve the inequality: 1 < x-2<5
O [3,7]
O (3,7)
O [7,3]
O (7,3)

Answers

Answer:

3,7

Step-by-step explanation:

Answer:

(3, 7 )

Step-by-step explanation:

Given

1 < x - 2 < 5 ← add 2 to each interval

3 < x < 7

Since x cannot equal 3 or 7 then use parenthesis for limits, that is

solution is (3, 7)

The following chart shows the number of rows in an auditorium and the total number of seats. What equation defines the number of seats with respect to the number of rows?

Answers

Answer:

S=30R+45

Step-by-step explanation:

3045/100=30R +45

So the other ones will be the same if this one is the answer. If you want you can check with the other ones. It's really easy if you get to understand it.

Answer:I am not sure

Step-by-step explanation:

need help asap please!!

Answers

Answer:

Step-by-step explanation:

Your worth it love u

what is 1/35 divided by 2 5/7? Please help!

Answers

Answer:

1/95

Step-by-step explanation:

2 5/7 = 19/7

1/35 divided by 2 5/7

1/35 ÷ 19/7

1/35 × 7/19

1 × 7/35 × 19

7/665 = 1/95

Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The first month, he volunteered for x hours. The next month, he volunteered for 1 2/3 times as many hours as he had the first month. If he volunteered for a total of 40 hours, how many hours did he volunteer during the first month? Write an equation to represent the situation and solve.

Answers

Answer:

15 hours

Step-by-step explanation:

[tex]x[/tex] is the number of hours that Liam volunteered in the first month

The next month he volunteered [tex]1\dfrac{2}{3}[/tex] times the time he volunteered the first month.

Total time he volunteered in the two months is 40 hours so

[tex]x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15[/tex]

Time he volunteered in the first month is 15 hours.

HELPPP PLZZZZZ I DONT KNOWW HOW TO DO THSSS

Answers

Answer:

Join Zoom Meeting

Meeting ID: 580 387 3474

Passcode: 1234

Answer:

Step-by-step explanation:

y=-x-4

What value of x satisfies the equation x/4 + x/2 =9

Answers

My work for your question

"12" is the correct value of "x" which satisfies the given equation.

The given equation is:

→ [tex]\frac{x}{4} +\frac{x}{2} =9[/tex]

By taking L.C.M, we get

→ [tex]\frac{x+2x}{4}= 9[/tex]

→ [tex]\frac{3x}{4} =9[/tex]

By applying cross-multiplication, we get

→ [tex]3x=36[/tex]

→ [tex]x = \frac{36}{3}[/tex]

→ [tex]= 12[/tex]

Thus the above is the right answer.

Learn more about equation here:

https://brainly.com/question/1054939

The high for yesterday was 90°F, today the high is 78°F. What is the percent decrease in the
temperatures?

Answers

Answer:

The temperature from yesterday to today decreased by 12 degrees fahrenheit.

Step-by-step explanation:

Ummm... it's true :)

Last month you spend $30 on clothing this month you spent 160% of what you spent last minute set up a proportion to model this situation how much did you spend this month

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that last month $30 was spent on clothing and that this month, 160% of what was spent last month.

The equation to to model this situation will be:

= 160% × $30

= 160/100 × $30

= 1.6 × $30

= $48

That means $48 will be spent this month.

Help will get brainliest

Answers

for question 2 the answer is 420 calories
for question 3 answer is 53 7/8 feet

HELP PLEASE! :) Lilith is remodeling her bathroom and needs an $8,700 loan to pay for the cost of the remodel. Which loan option will have Lilith pay the most amount in interest? 30-month loan with a 5.75% interest rate compounded annually 30-month loan with a 5.75% annual simple interest rate 24-month loan with a 6.25% interest rate compounded annually 24-month loan with a 6.25% annual simple interest rate

Answers

Answer:

Which loan option will have Lilith pay the most amount in interest

loan with a 5.75% annual simple interest rate 24-month loan with a 6.25% interest rate

Interest 3,750

Final payment 33,750

Step-by-step explanation:

1.-Interes rate compouned

Loan 30,000

% 5.75%

Time( Years) 2.50

Interest 4,500

Final payment 34,500

2.-Simple interest

Loan 30,000

% 5.75%

Time( Years) 2.50

Interest 4,313

Final payment 34,313

3.-Simple interest

Loan 30,000

% 6.25%

Time( Years) 2.00

Interest 3,750

Final payment 33,750

4.-Interes rate compouned

Loan 30,000

% 6.25%

Time( Years) 2.00

Interest 3,867

Final payment 33,867

The loan option that will cause Lilith to pay the most interest is a 30-month loan with a 5.75% interest rate compounded annually.

A simple interest is a kind of interest that is charged only on the principal while a compound interest is a kind of interest that is charged both on the principal and the interest.

The loan option that will cause Lilith to pay the most interest is a 30-month loan with a 5.75% interest rate compounded annually.

Learn more about compound interest: https://brainly.com/question/25857212

what is the value of angle k

Answers

Answer:∠k = 121°

Step-by-step

Exterior Angle Theorem:

The measure of an exterior angle is equal to the sum of the two remote interior angles.

Add 31° and 90° to get ∠K

Write an inequality that has no solution when
solved-- meaning your answer needs to have a
variable in it.

Answers

Answer:

3x > 3x+2

Step-by-step explanation:

inequality with no solutions will give you something that is never true like

3 > 5 so for example you can have

3x > 3x+2

Solve the inequality. Graph the solutions.

Answers

Answer:

Step-by-step explanation:

i took the test

Answer:

C. x < -5 or x > 5

Step-by-step explanation:

The temperature at 6:00 pm was 15 degrees Celcius. The temperature dropped 2 degrees Celcius per hour. What was the temperature at 4:00 am

Answers

Answer:

-5 Celsius

Step-by-step explanation:

You find the hours between which is 10 then you multiply 10 to 2 and then subtract

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