Answers
The size of the angle C is θ = 56°, given that BC and DE are tangents to the circle.
Tangent to a circle theoremThe tangent to a circle theorem states that a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency
Considering the Isosceles triangle ∆AOB and its exterior angle ∠BOD;
∠BOD = 180° - 2(48) {exterior angle of a triangle equals 2 opposite interior angles}
∠BOD = 96°
If the line DE is extended to line BC at E' we will have a quadrilateral BODE' and a triangle ∆CE'D, hence;
∠B = ∠D = 90° (angles between radius and lines tangent to the circle)
so;
∠BOD + ∠OBD + ∠ODE' + ∠BE'D = 360° {sum of interior angles of a quadrilateral}
96° + 90° + 90° + ∠BE'D = 360°
276° + ∠BE'D = 360°
∠BE'D = 360° - 276° {subtract 276° from both sides}
∠BE'D = 84°
Considering triangle ∆CE'D;
∠DE'C = 180° - 84° {sum of angles on a straight line}
∠DE'C = 96°
We thus derive θ using the triangle ∆CE'D;
θ = 180° - (28 + 96)° {sum of interior angles of a triangle}
θ = 180° - 124°
θ = 56°
In conclusion, we have derived the size of the angel θ as 56° by proper application of the tangent to a circle theorem.
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Related Questions
find the area of this shape
Answers
Answer:
1496π square meters
Step-by-step explanation:
A=2πrh+2πr²
=2π(17)(27)+2π(17)²
= 918π + 578π
=1496π
Think about multiplying any two rational numbers. Based on this activity and your previous work, write a set of rules for finding the sign of the product based on the sign of the two numbers being multiplied.
Answers
Answer:
Positive (+) * positive (+) = +
Negative (-) * negative - = +
Negative (-) * positive (+) = -
Positive (+) * negative (-) = +
Step-by-step explanation:
How result of the product of two numbers are affected by the sign on each number being multiplied :
Signs on number values may be positive (+) or negative (-)
The rules goes thus :
Positive (+) * positive (+) = +
Negative (-) * negative - = +
Negative (-) * positive (+) = -
Positive (+) * negative (-) = +
Therefore for any tow rational numbers, the sin of their product will follow the rules above.
Function m represents the number of people in a movie theatre on a Tuesday as a
function of hours since the movie theatre opened.
Here is the graph of function
Based on the graph and the situation, what are the domain and range for function m?
The domain is...
The range is...
Answers
Pls help will give brainless
Answers
Answer:
56 trucks and 24 cars
Step-by-step explanation:
Multiply each by 8 to continue the linear relationship.
Answer:
The answer is C. 56 trucks and 24 cars
Step-by-step explanation:
24/3 = 8
8 x 7 = 56
(っ◔◡◔)っ ♥ Hope It Helps ♥
help i'll give you a brainliest pls :)
Answers
Answer:
17%..................
A 15% tip on a restaurant bill is $3.60. How much is the bill?
A. $12.60
B. $18.60
C. $24.00
D. $54.00
Answers
3.60 x 100/ 15
360/15
24
The cost of bill is,
⇒ $24
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
A 15% tip on a restaurant bill is $3.60.
Now,
Let the cost of bill is, $x
Hence, We can formulate;
⇒ 15% of x = 3.60
⇒ 15x/100 = 3.60
⇒ 15x = 360
⇒ x = 360 / 15
⇒ x = 24
Thus, The cost of bill is, $24
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Becky and Keith run for exactly 20 minutes on a treadmill keith's treadmill said he had run 10,000 ft Becky's treadmill had said she had run 2 miles who ran farther and how much farther?
Answers
Answer:
Becky ran farther and farther by 560 ft.
Step-by-step explanation:
1 mile = 5280 ft
Becky: 2 * 5280 = 10560 ft
Keith: 10000 ft
10560 ft > 10000 ft, so Becky ran more distance than Keith.
10560 - 10000 = 560 ft, so Becky ran 560 ft more than Keith.
sorry that the pic is upside down
ANSWER IT PLS
NO LINKS
Answers
Pls help I only have 8 minutes left I need a detailed answer pls be quick
Answers
Answer: 2x+4 is the equation
the slope would be 2/1 and the y would be 4 (up) because thats where it is on the y axis
A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter, in meters, of the rectangle?
Your answer:
16 meters
32 meters
48 meters
Answers
Answer:
24 800cm.
Step-by-step explanation:
Length in metres =12×100=12000cm
Perimeter. =2[l+b]
Perimeter. =2[12000+400]
Perimeter. =2×12400
Perimeter. =24 800cm
Perimeter. =24 800cm÷100
Perimeter. =24.8m
PLEASE GIVE BRAINLIEST
Can Sombody answer this?
Answers
Answer:
x = √3
Step-by-step explanation:
tan 30° = 1/x
x = 1.73
but to get it in radical form:
sin 30° = 1/hypotenuse
hypotenuse = 2
x² = 2²- 1² = 4 - 1 = 3
x = √3
I need this answer as soon as possible and also can u explain it
Answers
Answer:
56
Step-by-step explanation:
x=5
so x for the gym is 5 and x+3=5+3=8
add 5 and 8 because that is a whole side.
we are trying to find perimeter which us the outside of the shape. you are just going to "walk the fence" . so now, we have two sides of 15 and two sides of 13 (5+8). 13+13=26. 15+15=30
add the 26 and 30
In the triangle below, what is the measure of R?
8
8
309
P
A. 60°
B. 30°
C. 90°
D. 45°
Answers
Answer:
∠R = 30°
Step-by-step explanation:
Because QP = QR, it is an isosceles triangle. So ∠R = ∠P
Answer:
B. 30°
Step-by-step explanation:
Side QP and QR are equal which makes the angles equal as well
Derek bought cups for $50 a dozen. He sold them for $10 each. What is his profit?
Answers
Step-by-step explanation:
no loss because he bought so rich and sold so los cost
Please helP I WILL MARK BRAINLIEST!
Answers
Answer:
believe it's G, I hope that's correct for you
I need help on this.
Answers
Answer:
This is very easy. Basically, the smallest angle is across from the smallest side. The largest angle is across from the largest side. ezpz
So number 9 ordered from smallest to largest would be
GE < GF < FE
Step-by-step explanation:
Please help me with a cherry, sprinkles AND gummy bears??
Thank you!
Answers
Answer:
Step-by-step explanation:
square- 48*32=1536
triangle- .5*12*48= 288
Answer:
ALI = 288 in²AIEN = 1536 in²ALIEN = 1824 in²Steps:
ALI = 48×12/2 = 48×6 = 288 in²
AIEN = 48×32 = 1536 in²
ALIEN = ALI + AIEN
ALIEN = 288 + 1536
ALIEN = 1824 in²
Marissa works in a bread shop every hour
Answers
Answer:
She's getting paid minimum wage, in debt, and struggling in college.
A cohort study of smoking and lung cancer was conducted in a small island population. There were a total of 1,000 people in the study, and the study was conducted over a ten year period. Four hundred were smokers and 600 were not. Of the smokers, fifty developed lung cancer. Of the non-smokers, 10 developed lung cancer. In order to measure the strength of association between smoking and lung cancer in this population, which measure of exposure-disease association would you use
Answers
Answer:
A measure of exposure-disease association one could use is the odds ratio (OR)
Step-by-step explanation:
An Odds ratio (OR) is a statistical measure quantifying the level of association between two events such as an exposure and an outcome
The odds ratio gives the probability of outcome where there is a given amount of exposure
We have the table;
[tex]\begin{array}{ccc}&Developed \ lung \ cancer& Did \ not \ develop \ lung \ cancer\\Smokers&50&350\\Non-smokers&10&590\end{array}[/tex]
The odds ratio = (The number of smokers with the lung-cancer)/(The number of non-smokers with lung-cancer) ÷ (The number of smokers smokers without long cancer).(The number of non-smokers without long cancer)
∴ OR = (50/10) ÷ (350/590) = 59/7 = 8.[tex]\overline{428571}[/tex] ≈ 8.4
Therefore, a smoker is approximately 8.4 times more likely to develop lung cancer than a non-smoker.
The table shown below represents a function. Which of the following values cannot be used to complete the table?
X Y
-10 5
-25 10
-5 15
__ 20
1. -20
2. -15
3. -5
Answers
Answer:
3.-5 is correct
Step-by-step explanation:
We are given,
The table which represents a function.
Now, 'A function is a relation in which every element of the domain has a unique image'.
So, from the table, we see that,
-5 has the image 15.
So, it cannot have another image.
Thus, the number which cannot be used to complete the table is -5.
Hence, option C is correct.
A, B, C, and D are points on a line with Ab=1, Bc=2, Cd=4. Find the length of the segment Ad. Consider all possibilities
Answers
Answer:
7?
Step-by-step explanation:
xd
Answer:
It could be 7, 5, or 1
Step-by-step explanation:
To find the length of segment AD you have to find all the possiblities you can get from adding other segments with A and D.
Max has $156. He spends 2/3 of his money on groceries. How much money did he have remaining? Explain.
Answers
Answer:
$52
Step-by-step explanation:
first 2/3*156 and you get 104
Then you do 156 -104 and you will have your answer
Answer:
Max has $52 remaining
Step-by-step explanation:
[tex]\frac{2}{3}*\frac{156}{1} = \frac{312}{3} \\[/tex]
simplify [tex]\frac{312}{3}[/tex] by 3 to get [tex]\frac{104}{1}[/tex]
What is the slope of the line?
Answers
Answer:
-1
Step-by-step explanation:
Substitute the two points given into the slope formula:
m= y2-y1/x2-x1
m= 0-1/1-0
m=-1
The Slope is -1
Hope this helps! :)
I hat number is one hundred more than 292
Answers
Answer:
I assume you mean "what" number is
Step-by-step explanation:
your answer would be 100 + 292
Therefore Answer = 392
Please mark my answer as the brainliest for further answers :)
Answer:
No
Step-by-step explanation:
one hundred isn't more than 292 it's less than 292.
Which statement is true of z11.7?
z11.7 is between 0 and 1 standard deviations of the mean.
z11.7 is between 1 and 2 standard deviations of the mean.
z11.7 is between 2 and 3 standard deviations of the mean.
Answers
Answer
z11.7 is between 1 and 2 standard deviations of the mean.
Step-by-step explanation:
Solution or not a solution
and because
Answers
Step-by-step explanation:
X + Y = -3
X + 3x +5 = -3
X=-2
X+Y=-3
Y=-3+2
Y=-1
Which does not belong? 21% 21/100 21:100 21
Answers
Answer:
B.21
Step-by-step explanation:
because it's the only whole number.
Explained:
Because the brackets just don’t make sense
. Mr. Jargon, the gold seller, ordered 2500 grams of silver, .80 kilograms of brass, and 1700 grams of copper. How many kilograms of metal did she order in all? _______ kilograms
Answers
Answer:
5 kilograms
Step-by-step explanation:
There is a thousand grams in one kilogram so divide the silver and copper by 1,000 to get 1.7 and 2.5 then add them all together.
Could I plz get a crown just two away from leveling up!!
Dillon works in a coffee mug plant. One of his main tasks is to randomly select finished mugs and test them to make sure that they are properly formed and hold the correct amount of coffee without dissolving the finish. Which job does Dillon most likely have?
A Occupational Health and Safety Specialist
B Environmental Science and Protection Technician
C Quality Control Analyst
D Product Safety Engineer
Answers
Answer:
I feel the answer is Quality Control Analyst
Step-by-step explanation:
The reason being that they test the quality of the product and make sure there is no flaws.
Which simplified expression matches the perimeter of the shape?
Answers
hope it helps