Answers
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Explanation:
I'm assuming that segments AD and CD are tangents to the circle.
We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.
By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.
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Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.
Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.
We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.
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Here's what we have so far for quadrilateral DAEC
angle A = 90angle E = 100angle C = 90angle D = unknownNow we'll use the idea that all four angles of any quadrilateral always add to 360 degrees
A+E+C+D = 360
90+100+90+D = 360
D+280 = 360
D = 360-280
D = 80
Or a shortcut you can take is to realize that angles E and D are supplementary
E+D = 180
100+D = 180
D = 180-100
D = 80
This only works if AD and CD are tangents.
Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.
Related Questions
m.c.m (35;50)
m.c.d (35;50)
m.c.m (116;92)
m.c.d (116;92)
Ayudaaa
Answers
9514 1404 393
Answer:
350, 5, 2668, 4
Step-by-step explanation:
a) mcm(35, 50) = 35·50/mcd(35, 50) = 35·50/5 = 350
__
b) mcd(35, 50) = 5
35 = 5·7; 50 = 5·10
__
c) mcm(116, 92) = 116·92/mcd(116, 92) = 116·92/4 = 2668
__
d) mcd(116, 92) = 4
116 = 4·29, 92 = 4·23
Given a line segment that contains the points A,B, & C in order, if AB = 2x - 2, and BC = 2x + 10, and AC = 32, find x.
Select one: a. 6
b. 24
c. 8
d. - 4
Answers
Answer:
a. 6
Step-by-step explanation:
AB +BC =AC
2x-2+2x+10=32
4x+8=32
4x=32-8
4x=24
x=24/4
x=6
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Answers
Answer:
3/5
Step-by-step explanation:
prependicular / hypotenuse
sin C=ED/CD
=3/5
The probability distribution for a
random variable x is given in the table.
-5
-3
-2
0
2
3
Probability
.17
.113
.133
.16
.11
.10
Find the probability that -2
Answers
Note: The values in the table are not correct because the sum of the probability of all events is not equal to one. The should be 0.13 and 0.33 instead of 0.113 and 0.133 respectively.
Given:
The probability distribution for a random variable x is given in the table.
x : -5 -3 -2 0 2 3
P(x) : 0.17 0.13 0.33 0.16 0.11 0.10
To find:
The probability of -2.
Solution:
From the given probability distribution for a random variable x, it is clear that the value of the probability is 0.33 corresponding to -2.
[tex]P(-2)=0.33[/tex]
Therefore, the probability of -2 is 0.33.
In how many ways can the 6 students with an identical twins on a round table?
Answers
Answer:
120
Step-by-step explanation:
5*4*3*2*1
As an estimation we are told 5 miles is 8 km. Convert 17.8 km to miles.
Answers
Answer:
17.8km = 11.125 miles
Step-by-step explanation:
From 5 miles = 8km, we can form the ratio km:miles as 8 : 5.
We want to put the ratio in the form 1 : n, which gives us 1 : 0.625 (we divide both 8 and 5 by 8 to get this form).
Now, using the ratio km:miles as 1:0.625, we have to multiply both 1 and 0.625 by 17.8 to gain the ratio 17.8 : n, therefore giving us the ratio 17.8 : 11.125.
Hence, 17.8km = 11.125 miles
Answer:
11.125 miles
Step-by-step explanation:
Proportions:
5 miles ⇒ 8 km
A miles ⇒ 17.8 km
A = 17.8km*5miles/8miles
A = 11.125 miles
4x - 10 + 5x = 71 solve the equation and enter the value of x below
Answers
Then combine the like terms
9x=81
X= 9
Answer:
x = 9
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:
4x - 10 + 5x = 71
(4x + 5x) - 10 = 71
9x - 10 = 71
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 10 to both sides of the equation:
9x - 10 (+10) = 71 (+10)
9x = 71 + 10
9x = 81
Next, isolate the variable x by dividing 9 from both sides of the equation:
(9x)/9 = (81)/9
x = 81/9 = 9
x = 9 is your answer.
~
I forgot to label the triangle below! I just know that the cos A = 0.48. Based on this information, which angle should be marked A?
Answers
Answer:
angle 1
Step-by-step explanation:
Using the trigonometric mnemonic SOH CAH TOA, we know that cos or cosine is the ratio between the adjacent side and hypotenuse side.
This means that if cos A = 0.48, A is the measure of the angle which it's relative adjacent side divided by the hypotenuse of the triangle will be around 0.48.
Let's try angle 2, cos (angle 2) = adjacent / hypotenuse = 7.8 / 8.9 = 0.876404494382 ≈ 0.87 ≠ 0.48. Since the proportions are not equal, this angle cannot be the one marked as A.
Since angle 3 is a right angle, the adjacent could be either side so it cannot be correct. Thus angle 1 is correct.
What is the vertex of the graph of the function f(x) = (x + 2)^2 − 3?
Answers
A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games.
x = number of used games
y = number of new games
Which linear equation, written in standard form, expresses the scenario?
Answers
Answer:[tex]12x+25y=300[/tex]
Step-by-step explanation:
Answer:
12x + 25y = 300
Step-by-step explanation:
5. If 40 of 160 moviegoers who watched a certain movie said that they would like to see the movie again, what is the probability that any moviegoer who saw the said movie would like to see it again? A. 0.25
B. 0.50
C. 0.75
D. 0.85
Answers
Answer: A. 0.25
Step-by-step explanation:
You need to divide 40 by 160 to calculate the percentage.
solve for x in the equation x^2-12+36=80
Answers
Answer:
the answer is given in this picture hope this helps and good luck :)!
Step-by-step explanation:
Step-by-step explanation:
x² -12x+36 =90
(x-6)² =90
x-6. =+-√90
x. =6+-√90
x. =6+-√9×10
x. =6+-3√10
so the answer is first option
The distance traveled (in meters) by an insect is modeled by the equation d=0.3t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 26.3 minutes. A. 0.789 meters B. 87.67 meters C. 26 meters D. 7.89 meters
Answers
Answer:
D. 7.89 meters
Step-by-step explanation:
Given,
d = 0.3t
Here,
t = 26.3
Therefore,
d = 0.3*26.3
= 7.89m
find the compound interest on rs 800 for 2 years at 8% per annum interest being payable annually
Answers
Answer:
Rs 968
Step-by-step explanation:
Given :-
P = Rs 800 Rate = 8% Time = 2 yrs .To Find :-
Compound Interest .Solution :-
We know CI as ,
> CI = P ( 1 + R/100)ⁿ
> CI = Rs 800 ( 1 + 10/100)²
> CI = Rs 800 × 11/10 × 11/10
> CI = Rs 968 .
Given that u=4,t=5,a=10and s=it+1\2at
Answers
or 0.21
is the answer
The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of $221 per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company $4900. Suppose for each ToughPix1 there is a 3% chance that it will need to be replaced exactly once, a 2% chance that it will need to be replaced exactly twice, and a 95% chance that it will not need to be replaced.
Answers
Answer:
Brad & Matthew can expect to lose money from selling these cameras of -$122
Step-by-step explanation:
Calculation to determine if it should expect to make or lose money from selling them and How much?
First step is to calculate the expected costs
Expected costs= (0.03* $4900 ) + (0.02* $4900 * 2)
Expected costs=$147+$196
Expected costs=$343
Now let determine the amount of profit or Loss that the company will be making in the long-run on each camera sold
Expected Profit or loss =($221-$343)
Expected Profit or loss =-$122
Therefore it Should expect to LOSE money from selling them of the amount of -$122
Solve the equation and enter the value of x below. 7(x + 8) = 84
Answers
Hello!
7(x + 8) = 84 <=>
<=> 7x + 56 = 84 <=>
<=> 7x = 84 - 56 <=>
<=> 7x = 28 <=>
<=> x = 28 : 7 <=>
<=> x = 4
Good luck! :)
BRAINLEST IF CORRECT
Answers
Answer:
first option
Step-by-step explanation:
the graph has a point of (8,2)
so see which option proves this point
2=0.25(8)
2=2
so first option is correct
[tex]\frac{5}{8}[/tex]· [tex]\frac{2}{3}[/tex]
Answers
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Multiply straight across and reduce.
[tex]\frac{5}{8}[/tex] · [tex]\frac{2}{3}[/tex] = [tex]\frac{10}{24}[/tex] = [tex]\frac{5}{12}[/tex]
The sum of the angles of all the sectors in a pie chart should add up to ???
a). 180⁰
b). 90⁰
c). 360⁰
Answer me please ...
Answers
Answer:
C
Step-by-step explanation:
Since the sectors all meet at the centre of the circle, then
The angles around a point sum to 360° → A
90°... See More
https//90°.com
Is the function g(x)= –5x+4 linear or nonlinear
Answers
For the geometric series 2 + 6 + 18 + 54 + ... , find S8
Answers
Answer:
[tex]\displaystyle S_{8}=6560[/tex]
Step-by-step explanation:
We have the geometric sequence:
2, 6, 18, 54 ...
And we want to find S8, or the sum of the first eight terms.
The sum of a geometric series is given by:
[tex]\displaystyle S=\frac{a(r^n-1)}{r-1}[/tex]
Where n is the number of terms, a is the first term, and r is the common ratio.
From our sequence, we can see that the first term a is 2.
The common ratio is 3 as each subsequent term is thrice the previous term.
And the number of terms n is 8.
Substitute:
[tex]\displaystyle S_8=\frac{2((3)^{8}-1)}{(3)-1}[/tex]
And evaluate. Hence:
[tex]\displaystyle S_8=6560[/tex]
The sum of the first eight terms is 6560.
Answer:
S₈ = 6560
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 2 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{2}[/tex] = 3 , then
S₈ = [tex]\frac{2(3^{8}-1) }{3-1}[/tex]
= [tex]\frac{2(6561-1)}{2}[/tex]
= 6561 - 1
= 6560
Mount Everest, at 29,028 feet, is the tallest mountain on the Earth. What is its height in kilometers
Answers
Answer:
8.8477344 km
Step-by-step explanation:
[tex] \because \: 1 \: ft = 0.000305 \: kilometre \\ \\ \therefore \: 29028 \: ft = 29028 \times 0.000305 \: km \\ \\ = 8.8477344 \: km[/tex]
Graph the function f(x)= -5(x+5)^2–4.
Plot the vertex. Then plot another point on the parabola.
Answers
Answer:
Vertex= (-5,-4)
Another point=(0, -129)
Step-by-step explanation:
The vertex is also the maximum, and the point is also the y-intercept.
HELP PLEASE (CIRCLES) (40 points)
the line 3y - x = 5 is the tangent to a circle at the point A(1,2). (1) Find the equation of the line passing through A and the centre of the circle. The equation of another line passing through the centre of the circle is x + 3y = 15. (2) Find the equation of the circle.
Answers
Answer:
x² + (y - 5)² = 10Step-by-step explanation:
Tangent line is:
3y - x = 5 ⇒ 3y = x + 5 ⇒ y = 1/3 x + 5/3, the slope is 1/3Perpendicular line to this has a slope of -3 and passes through point (1, 2).
Its equation is:
y - 2 = -3(x - 1) ⇒ y = -3x + 3 + 2 ⇒ y = -3x + 5Using the second line passing through the center, find the coordinates of the center:
x + 3y = 15 ⇒ 3y = -x + 15 ⇒ y = -1/3x + 5Solve the system by elimination:
-3x + 5 = -1/3x + 5 ⇒ x = 0Then
y = 5The center is (0, 5) and radius is the distance from center to point (1, 2):
r² = (0 - 1)² + (5 - 2)² = 1 + 9 = 10The equation of circle:
(x - h)² + (y - k)² = r²(x - 0)² + (y - 5)² = 10 ⇒ x² + (y - 5)² = 10multiply (3p+4q) by (3m+2n).
Answers
Answer:
9pm + 6pn + 12qm + 8qn
Step-by-step explanation:
Use FOIL (firsts, outers, inners, lasts)
^ this tells you what to multiply
Multiply the firsts 3p × 3m = 9pm
Multiply the outers 3p × 2n = 6pn
Multiply the inners 4q × 3m = 12qm
Multiply the lasts 4q × 2n = 8qn
Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound
Answers
what's the whole question??
The measure of an angle is eight times the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
160°
Step-by-step explanation:
Let one angle be x
Let second angle be 8x
Sum of supplementary angles = 180°
x+ 8x = 180°
9x = 180
x = 180/9 = 20
First angle= x= 20°
Second angle = 8x = 8*20 = 160°
PLZZ HELPPPPPP I NEED TO FINISH THIS IN 8 MINS
Answers
Answer:
$29.69
Step-by-step explanation:
23.52 * 1.1 = $25.872 so this is the marked up price. ----- (1.1 = 110%)
25.872 * 0.1475 = $3.81612 is the sales tax.
Total is 25.872 + 3.81612 ~ $29.69
i don’t know if i got the answer wrong but help!
Answers
Answer:
skew
Step-by-step explanation:
Perpendicular lines must intersect. In fact, they intersect forming right angles.
Lines AC and RC are not in the same plane and do not intersect.
They are called "skew lines."
Skew
Because they are in different plane and do not intersect and are not parallel