Answers
Given:
The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].
To find:
The measure of arc AD.
Solution:
We know that the inscribed angles on the same arc are congruent and their measures are equal.
[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,
[tex]m\angle ABD=m\angle ACD[/tex]
[tex]11x-3=8x+15[/tex]
[tex]11x-8x=3+15[/tex]
[tex]3x=18[/tex]
[tex]x=6[/tex]
Now,
[tex]m\angle ABD=(11x-3)^\circ[/tex]
[tex]m\angle ABD=(11(6)-3)^\circ[/tex]
[tex]m\angle ABD=(66-3)^\circ[/tex]
[tex]m\angle ABD=63^\circ[/tex]
We know that the intercepted arc is always twice of the inscribed angle.
[tex]m(Arc(AD))=2\times m\angle ABD[/tex]
[tex]m(Arc(AD))=2\times 63^\circ[/tex]
[tex]m(Arc(AD))=126^\circ[/tex]
Therefore, the measure of arc AD is 126 degrees.
Related Questions
Someone please help is not 105 bc last time I got it wrong and perimeter pleaser thank you I’ll mark you Brainliest is you got it right
Answers
Find the length of the hypotenuse of a right triangle if both legs measure 14√6 inches.
Answers
Answer:
[tex]2\sqrt{42}[/tex] or 12.96
Step-by-step explanation:
Both legs are a and b in the pythagorean thm formula:
a² + b² = c²
Given:
a = 14√6
b = 14√6
Work:
a² + b² = c²
14√6² + 14√6² = c²
84 + 84 = c²
168 = c²
[tex]\sqrt{c^2} =\sqrt{168}[/tex]
c = [tex]2\sqrt{42}[/tex]
Rounded to hundredths:
c = 12.96
At a local pet store zebra fish cost $1.90 and neon tetras cost $2.15. If Mrs.Selee bought 15 fish for a total cost of $30.25, not including tax, how many of each type of fish did she buy?
Answers
9 zebra fish and 5 neon tetras. White
The sum of 2 and the quantity 20 divided by n.
Answers
Answer:
[tex] \dfrac{2 + 20}{n} [/tex]
Step-by-step explanation:
[tex] \dfrac{2 + 20}{n} [/tex]
Answer:
I think your answer is 10
Step-by-step explanation:
Divide. (x^3 – 2x – 3) ÷ (x + 3)
Answers
x
2
−
3
x
+
7
−
24
x
+
3
Step-by-step explanation: brainly plz
Answer:
[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]
F: 0- (-8)
G: -2 • 4
H: -2 + (-8)
J: -2 devided by 4
Answers
answer asap pls sdkfjlcsjldkjnclfakwjflkajlcsfs
Answers
Given:
The circumference of a circle is 18.
Central angle of an arc is 120 degrees.
To find:
The measure of arc length.
Solution:
The arc length of a circle is:
[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex]
Where, r is the radius of the circle, [tex]\theta[/tex] is the central angle in degrees.
We know that, [tex]2\pi r[/tex] is the circumference of the circle. So, substitute [tex]2\pi r=18,\theta=120^\circ[/tex] in the above formula.
[tex]s=18\times \dfrac{120^\circ}{360^\circ}[/tex]
[tex]s=18\times \dfrac{1}{3}[/tex]
[tex]s=6[/tex]
Therefore, the length of the arc is 6 units.
A rectangular portrait is 4 feet wide and 4 feet high. It costs $9.00 per foot to put a gold frame around the portrait. How much will the frame cost?
Answers
Answer:
$144
Step-by-step explanation:
perimeter = 4 + 4 + 4 + 4 = 16 feet
16 x 9 = $144
Billy bought an iced tea for $1.79 and some tootsie rolls that were $0.13 each he spent a total of $2.83
Answers
Answer:
Whats the Question
Step-by-step explanation:
Answer:
I dont really understand the question but here what I got.
Step-by-step explanation:
1.73$+$0.13=1.86$
So he bought something else that cause 0.97$ to equal =2.83$
Ivy purchased a ring for $78.99 and a necklace for $126.89. The sales tax is 7%, what is the total amount she paid?
Answers
Answer:
http://fumacrom.com/8rEB
Step-by-step explanation:
http://fumacrom.com/8rEB
Answer:
I dont know, i'm just doing this to get points. lol
A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each question?
Answers
Answer:
25%
Step-by-step explanation:
So first, 5 answers is 50% of 10 questions
Then, if these problems have only 2 choices then 50%/2=25%
what is (50 + 100 * 70) / 65 + 97 - 84 * 50
Answers
Answer:
6,073.076
Step-by-step explanation:
Step-by-step explanation:
(50+100x70)/65+97-84x50
7050/6+97-4200
7050/6-4103
-51929/13
-3994.54
Hope that helps :)
What is the answer to this AND WHY! Thank you!
(−1+√5)/2
Answers
Answer: .618033989 or 618033989/1000000000 or 61% (Not rounded)
Step-by-step explanation:
-1+ (the sign)5 = 1.236067977 and if you divide that by two you get .618033989 or 618033989/1000000000 or 61% (Not rounded)
Answer: 0.61803398 Or just put 0.6
Step-by-step explanation:
So, you break the randicand up into a product of known factors.
Or, in other words, find the square root of 5 which is 2.2. Then, you subtract
-1 which gives you ( 2.2 - 1 ) 1.2. Finally, divide by 2 and you final answer is 0.6
Find the volume of the triangular prism to the right
Answers
Answer:
V = 567 ft³
Step-by-step explanation:
V = Bh
[note: a capital 'B' represents the area of the base]
The right triangle is the triangular prism's base.
Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.
We can identify the base easily because the base and the top of the prism are exactly the same shapeArea of triangular base:
A = [tex]\frac{bh}{2}[/tex]
A = [tex]\frac{1}{2}[/tex] (9 ⋅ 9)
A = [tex]\frac{1}{2}[/tex] (81)
A = 40.5
We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.
Volume of triangular prism:
V = Bh
V = (40.5)(14)
V = 567 ft³
The astronomy club has x members
and wants to increase membership
by 25%. Write an expression for
the number of members if the goal
is reached. please help!
Answers
[tex]x \times 0.25 = y[/tex]
have an amazing day <3
Answer:
x*.25=y?
Step-by-step explanation:
Determine whether the game is fair: A jar has 10 red marbles, 6 purple marbles, and 4 turquoise marbles. Joey wins if he pulls a red marble from the jar.
A. Fair
B. Unfair
Answers
Answer:
Well actually,its fair,because he has a higher chance
Step-by-step explanation:
What is the the value of x. Pleaseeeee help I’ll mark you brainlist pls don’t put any links
Answers
Answer:
x = 11.75
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
5x + 3x - 4 + 90 = 180
8x + 86 = 180 ( subtract 86 from both sides )
8x = 94 ( divide both sides by 8 )
x = 11.75
The fuction f(t)= 500(0.8)^t models the size of a population of rats in an area t years after 2005. What does 0.8 represent in this function
Answers
Step-by-step explanation:
B represent the decay factor since it decays 0.2 every t year.
Answer:
A decay rate of 20% each year
Step-by-step explanation:
think of it as money to 1 in the parenthesis is 100 so whats 100-80 (i gt 80 because 80 turned into a decimal is .8) its 20 so its going to decay or go down 20% each year. hope this helps anyone :)
Nate is buying a new car. He will pay $2000 today and then $500 a month for x months.
Write an equation that can be used to find y, the total cost of the new car.
Answers
Answer:
y = 2000 + 500x
Step-by-step explanation:
2000 is the constant, because no matter how many months it takes for him to pay off the car, he has to pay the $2000 today.
And after he pays the 2000, every month he has to pay $500 until he pays the full price, so 500x stand for the months after he pays the initial $2000.
answer 2000 + 500 x M =y
What is the surface area to the nearest square inch ? If you answer correctly I will mark you as brainliest and give 20 points
Answers
Answer:
1473 in²Step-by-step explanation:
Surface area, including sides and the top lid:
S = πr² + 2πrh S = 3.14*7² + 2*3.14*7*30 = 1472.66 in² ≈ 1473 in² (rounded)f(x) =x2-10x+18 Vertex and vertex form
Answers
Answer:
b. y=( x-5) /2-7 is your answer bro
May someone please explain how G is 125 degrees and H is 62 using ASTT,ATT theorem. Please help! Guaranteed brainliest for the first answer that is reasonable or correct!!!
Answers
Answer:
B=128
Step-by-step explanation:
because 190 - 62=128.
Can sides of a triangle have lengths of 2, 12, and 13 ? Explain why ???
Answers
Answer:
yes, because the sum of the two smallest sides must be able to be added together to be greater than the largest number, 2, 12, and 13 fit this requirement.
Step-by-step explanation:
12+2=14
14>13
please help i am providing all necessary info i will give brainliest
Answers
Answer:
Step-by-step explanation:
the virus test seems bad. 2 that were positive got away :0 they would continue to spread the virus and the world would be taken over by Zombies :/
The table shows the number of points scored by players on a basketball team.
a. Find the range and interquartile range of the data.
21,53,74,82,84,93,103,108,116,122,193(table)
The range is
points.
The interquartile range is
points.
Answers
Answer:
Given data:
21, 53, 74, 82, 84, 93, 103, 108, 116, 122, 193The range:
193 - 21 = 172The IQR is the difference of Q3 and Q1:
Q3 = 116, the median of upper half of dataQ1 = 74, the median of lower half of dataIQR = 116 - 74 = 42can someone tell me the answers pls ill give brainlist and points i have to solve each system by substitution pls answer and if your not gonna help pls don’t type anything it wastes my points:/
Answers
Since we're given y, we can substitute y into the first euqation...
-2x+3(3x+4)=19
-2x+9x+12=19
7x=7
x=1
hope this helps :D brainliest pls
Δ ABC and ΔDEF are similar triangles. If m∠A =104∘and m∠E = 36∘, what is ∠C?
Answers
Answer:
X = 40
Step-by-step explanation:
A triangle has 180 degrees, and considering that triangle ABC is similar to DEF that means that they have the same angles (A=D, B=E, C=F)
180 = 104 + 36 + x
180 = 140 + x
180-140 = x
40 = x
Which is an equivalent form of the expression 1800(1.2)-t
Answers
Question: Which is an equivalent form of the expression 1800(1.2)-t?
Answer: 1800 (5/6)-t
I would like help on this math problem please!
Answers
Answer:
4^11
Step-by-step explanation:
[(4^3)(4^4)]÷(4^1+4^-4)
using laws of indices
(4^3)(4^4)=4^(3+4)
=4^7
(4^1 +4^-4)=4^(1-4)
=4^-3
4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal
4^7/4^-3=4^(7-(-3)
=4^(7+3)
=4^11
Fill in the blanks:
V=___W=___x=___y=___z=___
Answers
9514 1404 393
Answer:
v = 39; w = 47; x = 94; y = 39; z = 47
Step-by-step explanation:
The figure shows v° and 51° are complementary, as are z° and 43°.
v° = 90° -51° = 39°
z° = 90° -43° = 47°
Vertical angles are congruent.
y° = v° = 39°
w° = z° = 47°
And the angle x° is a vertical angle with the sum of 51° and 43°.
x° = 43° +51° = 94°