Answers
Answer:
71
Step-by-step explanation:
refer the attachment
to solve the question we need to recall one of the most important theorem of circle known as two tangent theorem which states that tangents which meet at the same point are equal that is being said
FA=AI=17CH=CG=2.5since [tex]\rm BA=FA+FB[/tex] and it's given that FA and BA are 17 and 29 FB should be
[tex]\rm 29=17+FB[/tex]therefore,
[tex]FB=29-17=\boxed{12}[/tex]once again by two tangent theorem we acquire:
[tex]FB=BH=\boxed{12}[/tex]As BC=BH+CH,BC is
12+2.5[tex]\boxed{14.5}[/tex]likewise,AD=AI+DI so,
21=17+DI [AD=21(given) and AI=17 (by the theorem)]thus,
DI=21-17=[tex]\boxed{4}[/tex]By the theorem we obtain:
DI=DG=4Similarly,DC=DG+CH therefore,
DC=4+2.5=[tex]\boxed{6.5}[/tex]Now finding the Perimeter of ABCD
[tex]P_{\text{ABCD}}=\text{AB+AD+BC+DC}[/tex]substitute what we have and got
[tex]P_{\text{ABCD}}=\text{29+21+14.5+6.5}[/tex]simplify addition:
[tex]P_{\text{ABCD}}=\boxed{71}[/tex]hence,
the Perimeter of ABCD is 71
Related Questions
Of the 10 kids in a chess club, 5 are left-handed and 5 are right-handed. The club holds a round-robin tournament in which every player plays against every other player exactly once. Of all the matches, how many of them have a left-handed player competing against a right-handed player?
Answers
The total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita plays the game.
We have given that,
Of the 10 kids in a chess club, 5 are left-handed and 5 are right-handed.
What are permutation and combination?A permutation can be defined as the number of ways a set can be arranged, order matters but in combination, the order does not matter.
We have 5 girls and 5 boys in a chess club:
There are a total of 5×5 games girls play against a boy.
= 5×5
= 25
The number of games a girl play against another.
It is a combination problem so the total number of games:
= 10
A fraction of the games are boy-versus-boy:
The number games boy-versus-boy = 10
The number games Boy vs Boy & Girl vs Girl & Boy vs Girl
= 10+10+25
= 45
So the fraction = 10/45 ⇒ 2/9
If Anita is one of the club members then Anita will have to play against 9 people at the tournament.
Total number of games = 45
Then the fraction = 9/45 ⇒ 1/5
Thus, the total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita play the game.
To learn more about combination visit:
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Given that mCD=20°, find mBC
Answers
Answer:
70°
Step-by-step explanation:
[tex] m\widehat {BC} = 90\degree - m\widehat {CD} [/tex]
[tex] m\widehat {BC} = 90\degree -20\degree [/tex]
[tex] m\widehat {BC} = 70\degree [/tex]
1/3 x 1/4 = ?????????
Answers
Answer:
1/12
Step-by-step explanation:
1/4 X 1/3 = 1/12
Answer:
1/12
Step-by-step explanation:
When multiplying fractions, you multiply it like normal numbers, so 1 is multiplied by 1, and 3 is multiplied by 4.
For example:
3/4 x 9/10 would be equal to 27/40 because the 3 is multiplied by 9 and 4 is multiplied by 10.
3 x 9 = 27
4 x 10 40
27/40
Therefore on your question it would be 1/12.
a company packages stickers in sets of 40. if each set costs $80.85, what is the cost of 240 stickers?
Answers
Answer:
485.10
Step-by-step explanation:
250/80.85 = 2.96
In the nearest tenth, the answer is 3
Can someone give me the anwers I don’t understand it
Answers
Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.
Answers
Javier built a skateboard ramp by elevating one end of an 8-foot piece of plywood so that it makes a 20 degree angle with the ground.
Answers
Answer:
2.74feet
Step-by-step explanation:
Since we are not told what to find, we can find the height of the plywood
Given the following
length of ramp = 8feet
angle of elevation = 20degrees
Required
Height of the plywood
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 20 = H/8
H = 8sin20
H = 8(0.3420)
H = 2.74 feet
Hence the height of the plywood is 2.74feet
For any number, y
Add one third of the number
Then subtract _____________ of the result.
The answer is y
Answers
Answer:
y/3
Step-by-step explanation:
According to the conditions :
y + y/3 - x = y
y + y/3 - y = x
(3y + y - 3y )/3 = x
y/3 = x
Answer:
[tex]\frac{3}{12}[/tex]
Step-by-step explanation:
Create an equation and solve for x:
[tex]y + \frac{1}{3} y = \frac{4}{3} y\\\frac{4}{3}y - x(\frac{4}{3}y) = y\\x = \frac{3}{12}[/tex]
Point M is the midpoint of segment AB. If the coordinates of A are (−3, 6) and the coordinates of M are (−5, 2), what are the coordinates of B?
Answers
Answer:
Point M is the midpoint of AB. If the coordinate of A are (-3,6) and the coordinates of M are (-5,2), what are the coordinates of B?
Step-by-step explanation:
The speed with which utility companies can resolve problems is very important. GTC, the Georgetown TelephoneCompany, reports they can resolve customer problems the same day they are reported in 70 percent of the cases.Suppose the 15 cases reported today are representative of all complaints. a) What is the probability 10 of the problems can be resolved today? b) What is the probability 9 or 12 of the problems can be resolved today? c) What is the probability more than 10 of the problems can be resolved today?
Answers
Answer:
a) [tex]P(10)=0.2061[/tex]
b) [tex]P(9\ or\ 12)=0.3172[/tex]
c) [tex]P(X>10)=0.51545[/tex]
Step-by-step explanation:
From the question we are told that:
Probability of Same day resolution [tex]P=70\%=>0.7[/tex]
Probability of Another day resolution [tex]Q=1-P=>30%=>0.3[/tex]
Sample size [tex]n=15[/tex]
a)
Generally the equation for Probability 10 of the problems can be resolved today is mathematically given by
Since
[tex]P(X)=^{n}C_{x}*p^{x}*Q^{n-x}[/tex]
[tex]P(10)=^{15}C_{10}*p^{10}*Q^{15-10}[/tex]
[tex]P(10)=\frac{15!}{10!(15-10)!*0.70^{10}*0.30^5}[/tex]
[tex]P(10)=0.2061[/tex]
b)
Generally the equation for Probability 9 or 12 of the problems can be resolved today is mathematically given by
[tex]P(9)=\frac{15!}{9!(15-9)!*0.70^{9}*0.30^6}[/tex]
[tex]P(9)=5005*2.942*10^{-5}[/tex]
[tex]P(9)=0.1472[/tex]
OR
[tex]P(12)=\frac{15!}{12!(15-12)!*0.70^{12}*0.30^3}[/tex]
[tex]P(12)=455*3.737*10^{-4}[/tex]
[tex]P(12)=0.17[/tex]
Therefore Probability 9 or 12 of the problems can be resolved today is
[tex]P(9\ or\ 12)=P(9)+P(12)[/tex]
[tex]P(9\ or\ 12)=0.1472+0.17[/tex]
[tex]P(9\ or\ 12)=0.3172[/tex]
c)Generally the equation for probability more than 10 of the problems can be resolved today is mathematically given by
[tex]P(X>10)=P(11)+P(12)+P(13)+P(15)[/tex]
Where
[tex]P(11)=\frac{15!}{11!(15-11)!*0.70^{11}*0.30^4}[/tex]
[tex]P(11)=0.2186[/tex]
[tex]P(13)=\frac{15!}{13!(15-13)!*0.70^{13}*0.30^2}[/tex]
[tex]P(13)=0.0916[/tex]
[tex]P(14)=\frac{15!}{14!(15-14)!*0.70^{14}*0.30^1}[/tex]
[tex]P(14)=0.0305[/tex]
[tex]P(15)=\frac{15!}{15!(15-15)!*0.70^{15}*0.30^0}[/tex]
[tex]P(15)=0.00475[/tex]
Therefore
[tex]P(X>10)=0.2186+0.0916+0.0305+0.00475+0.17[/tex]
[tex]P(X>10)=0.51545[/tex]
3. Mrs Naidoo wants to buy a new kitchen cabinet on which she can place her new
microwave. Mrs Naidoo notices one advertised for R3 999,00. She decides to
save until she has enough cash to pay for the kitchen cabinet. She uses her
December bonus of R2 900,00 to deposit into her savings account where she
is offered 3,5% p.a. compound interest.
Determine if Mrs Naidoo will be able to afford the kitchen cabinet a year later if she
adds R960,00 to the saved amount.
please help
Answers
Answer:
thats about like ummm 69?
Step-by-step explanation:
What are the dimensions of the rectangle shown on the coordinate plane? On a coordinate plane, a rectangle has points (1, negative 1), (10, negative 1), (10, negative 5), (1, negative 5). The base is 3 units and the height is 9 units. The base is 9 units and the height is 4 units. The base is 10 units and the height is 4 units. The base is 11 units and the height is 6 units. HURRRY 20 POINTS AND MORE IF RIGHT
Answers
Answer:
The base is 9 units and the height is 4 units.
Step-by-step explanation:
If a boat travled 70miles in 5 hours how far did the boat travel in one hour
Answers
Answer:
350millas
Step-by-step explanation:
Jose has a bag of 6 blue marbles, 3 white marbles, and 8 black marbles. What is the probability that he pulls a blue marble out of the bag?
Answers
6+3+8= 17
Then, to find the probability you put the number of marbles which you want to find the probability of being pulled out on top of the fraction and make it out of 17
6/17
LOOK AT THE PICTURE PLZ NEED HELP!
Answers
Answer:
J
Step-by-step explanation:
Sorry I'm very busy so no step by step
An adult ticket costs £4.
A child ticket costs £3.
Hina spends £47 on cinema tickets.
She buys 8 adults tickets.
Work out how many child tickets she buys.
Answers
8*4=32
47-32= 15
15/3= 5
help plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
I think I just posted that last time. Check my timeline
Which of the following is a dilation?
Answers
Answer:
A) image is being doubled in size in A
Step-by-step explanation:
B and C are rotations
D is a translation
First correct response gets brainliest
Answers
Answer:
x = 13
Step-by-step explanation:
This question is based on Secant Secant theorem.
Secant Secant theorem gives us the following formula:
(AB + BD)AB = (AC + CE).AC
From the above question we have the following parameters
AB = 5
BD = x
AC = 7.5
CE = 4.5
Hence,
(AB + BD)AB = (AC + CE).AC
(5 + x)5 = (7.5 + 4.5)7.5
25 + 5x = 90
Collect like terms
5x = 90 - 25
5x = 65
x = 65/5
x = 13
Match the cube roots and square roots with their values.
V4
327
64
364
49
31,000
2
10
3
4
8
7
Answers
10= cube root of 1000
3= cube root of 27
4= cube root of 64
8= sqrt 64
7= sqrt 49
Which choice is equivalent to the quotient shown here when x2 0?
Answers
Answer:
Option A.
Step-by-step explanation:
√18x÷√32
√18x/√32
√18x/32
√9x/16
9 and 16 are perfect squares
=3√x/4.
Option A
Select ALL the expressions that are equivalent to -4(8x-3)
A) -20X
B) 4(3-8x)
C) -32x-12
D) 2(-16x+6)
E) 5-9(8x-3)
Answers
Answer:
dddddStep-by-step explanation:
Use the graph to write a linear function that relates Y toX
Answers
x-y=xy
2-1=1
Y=1
Solve for X in 3x/10 + x/5 = 15 SHOW WORK
Answers
Answer:
x = 30
Step-by-step explanation:
correct me if i am wrong but i think you have to
a.) change the denominator's to be the same :
ten is a common denominator therefore you times the second expression by two ( x/5 becomes 2x/10 )
b.) put the formula back together :
3x/10 + 2x/10 = 15
5x/10 = 15
5x = 150
x = 30
Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53
Answers
Given:
The data set is:
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
To find:
The median of the given data set.
Solution:
We have,
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
Arrange the data values in ascending order.
40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Here, the number of observations is 10 which is an even number. So, the median is:
[tex]Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}[/tex]
Putting n=10, we get
[tex]Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}[/tex]
[tex]Median=\dfrac{5\text{th term}+6\text{th term}}{2}[/tex]
From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.
[tex]Median=\dfrac{50+53}{2}[/tex]
[tex]Median=\dfrac{103}{2}[/tex]
[tex]Median=51.5[/tex]
Therefore, the median of the given data set is 51.5.
Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left parenthesis, 4, comma, 7, right parenthesis.
Answers
Answer: [tex]y=8x-25[/tex]
Step-by-step explanation:
Given
Line passes through [tex](3,-1)\ \text{ and}\ (4,7)[/tex]
Equation of line when it passes through two points [tex](x_1,y_1),(x_2,y_2)[/tex]
[tex]\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}[/tex]
Insert the values
[tex]\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25[/tex]
Answer:
8x-25
Step-by-step explanation:
:O thats ez
i need actually help on this asap!
Answers
Answer:
Step-by-step explanation:
x = -1: 2(3)^(-1) = 2(1/3) = 2/3
x = 0: 2(3)^0 = 2(1) = 2
x = 1: 2(3)^1 = 6
x = 2 2(3)^2 = 18
A total of 120 smoothies were sold on the first day of the month from July-December. True or false
Answers
Answer:
the answer would basically be 720 smoothies in total from Jul.-Dec.
Step-by-step explanation:
YWW :)
two parallel lines are cut by a transversal. what is the measure of angle 8
Answers
Answer:
A
Step-by-step explanation:
∠4 and ∠8 are corresponding angles
corresponding angles are congruent ( equal to each other )
so if ∠4 = 100° then ∠8 also equals 100°
Answer:
A
Step-by-step explanation:
8 is equal to 4(100) because it is corresponding angle, corresponding angle are equal to each other...If 4 is 100 then 8 will be 100
PLS HELP ASAP...A triangle has side lengths of (10m-5) centimeters, (6m-2) centimeters, and (8n+4) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
1. 12n+16m−7
2. 16m+8n−3
3. 12n+5m+4
4. 12n+9m
Answers
Answer:
perimeter = 10m - 5 + 6m - 2 + 8n + 4
= 16m -7 + 8n + 4
16m + 8n -3
option 2
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The sum of all the sides of the triangle will be known as the perimeter of the triangle.
A triangle has side lengths of (10m - 5) centimeters, (6m - 2) centimeters, and (8n + 4) centimeters.
The expression represents the perimeter of the triangle will be
P = (10m - 5) + (8n + 4) + (6m - 2)
P = 16m + 8n - 3
The expression represents the perimeter of the triangle will be 16m + 8n - 3. Then the correct option is B.
More about the triangle link is given below.
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