Find the value of perimeter of ABCD. Assume that segments that appear to be tangent are tangent
Answers
The final statement is: The perimeter of the quadrilateral is given by 71 units.
What is Perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape
Given here: A quadrilateral ABCD with a circle inscribed in it.
Now sides of the quadrilateral form tangents from a common point (vertex)
Thus they must be equal
∴ Perimeter of the ABCD is = 29+12+2.5+2.5+21-17+21
= 71 units
Hence, The perimeter of the quadrilateral is given by 71 units.
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Related Questions
whats the answer to m=18+12
Answers
Answer:
m = 30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
10 + 10 = 20
8 + 2 = 10
20 + 10 = 30
pls help i have a d in algebra
If x - 3 = 1, then what is the value of x^2 - 3x - 1
A. 1/12
B. 1/9
C. 3
D. 9
Answers
15% of the seats on an airplane are first class if there are 24 class seats how many seats are on the plane
Answers
Answer:
160
Step-by-step explanation:
there are 24 first class seats. 15% of the total number is 24. that would mean 5% of the total number is 8. 20 times 8 is 160.
write five equivalent rational number for the following
1)-6/5
2)-8/10
plzz tell me answeerr
Answers
Answer:
[tex](1)\ -\frac{6}{5}[/tex]
Equivalents: -12/10, -18/15, -24/20, - 30/25, -36/30
[tex](2)\ -\frac{8}{10}[/tex]
Equivalents: -4/5, 16/20, -24/30, -32/40, -80/100
Step-by-step explanation:
Given
[tex](1)\ -\frac{6}{5}[/tex]
[tex](2)\ -\frac{8}{10}[/tex]
Required
5 equivalent numbers for each
To do this, we carry out the same operation on the numerator and the denominator of the fraction
[tex](1)\ -\frac{6}{5}[/tex]
Multiply by 2/2
[tex]-\frac{6}{5} * \frac{2}{2} = -\frac{12}{10}[/tex]
by 3/3
[tex]-\frac{6}{5} * \frac{3}{3} = -\frac{18}{15}[/tex]
by 4/4
[tex]-\frac{6}{5} * \frac{4}{4} = -\frac{24}{20}[/tex]
by 5/5
[tex]-\frac{6}{5} * \frac{5}{5} = -\frac{30}{25}[/tex]
by 6/6
[tex]-\frac{6}{5} * \frac{6}{6} = -\frac{36}{30}[/tex]
[tex](2)\ -\frac{8}{10}[/tex]
Divide by 2/2
[tex]-\frac{8}{10}= -\frac{8/2}{10/2}[/tex]
[tex]-\frac{8}{10}= -\frac{4}{5}[/tex]
Multiply by 2/2
[tex]-\frac{8}{10} =-\frac{8*2}{10*2}[/tex]
[tex]-\frac{8}{10}= -\frac{16}{20}[/tex]
Multiply by 3/3
[tex]-\frac{8}{10}= -\frac{8*3}{10*3}[/tex]
[tex]-\frac{8}{10} =-\frac{24}{30}[/tex]
Multiply by 4/4
[tex]-\frac{8}{10} = -\frac{8*4}{10*4}[/tex]
[tex]-\frac{8}{10}= -\frac{32}{40}[/tex]
Multiply by 10/10
[tex]-\frac{8}{10}= -\frac{8}{10} * \frac{10}{10}[/tex]
[tex]-\frac{8}{10}= -\frac{80}{100}[/tex]
Question
A county fair attracts large crowds of people every year. Ideally, 280,000 people come to the fair, but this value can vary by
as many as 8,500 people. What are the maximum and minimum numbers of people expected to attend the fair?
Answers
Answer:
the maximum amount of people would be 288, 500 and the minimum would be 271,500
Step-by-step explanation:
basically if the average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum
There could be up to 288.500 persons present, with a minimum of 271,500.
What is an expression?Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
The average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum.
Maximum = 2800000 + 8500 = 288,500
Minimum = 271,500 - 8500 = 263000
Therefore, there could be up to 288.500 persons present, with a minimum of 271,500.
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If a rocket travels 68,732 milometers in 3 hours, what is it's speed?
a) 23,000 Km/hr
b) 23,000 hr/km
c) 22,910 hr/km
d) 22,911 km/hr
Answers
Answer:
v = 0.0229 km/h
Step-by-step explanation:
Given that,
Distance, d = 68,732 milometers = 0.0687 km
Time, t = 3 hours
We need to find the speed of the rocket. The speed of an object is given by :
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{0.0687}{3}[/tex]
v = 0.0229 km/h
So, the speed of the rocket is 0.0229 km/h.
Snigdha can type 550 words in half an hour how many words would she type in 6 minutes
Answers
Answer:
110
Step-by-step explanation:
took the same test 1 week ago
Answer:
110 words
Step-by-step explanation:
What we know:
- Snigdha can type 550 words in 30 minutes
1) Find how many words they can type in 1 minute
To do this, divide 550 words by 30 minutes:
550÷30=18.3333... words
Therefore, Snigdha can type approximately 18 words in one minute.
2) Multiply 18 words by 6 minutes
18.3333...×6=110
Therefore, Snigdha can type 110 words in 6 minutes.
I hope this helps!
Liu chose an integer. She added 3. Then, she multiplied the sum by -7. The answer was 84. What integer did Liu choose?
Answers
Answer:
-15
Step-by-step explanation:
let the integer be x.
-7(x+3)=84
Step-by-step explanation:
let the integer be x
(x+3) -7 =84
-7x-21=84
-7x=84+21
-7x=105
divide both sides by -7
x= -15
The following double line graph represents the enrollment of students at Jefferson Middle School for 2006 through 2009. What was the difference between seventh and eighth grade enrollment in 2008?
Answers
Answer:
20
Step-by-step explanation:
Answer:
You answer is 20, Blessings :]
Step-by-step explanation:
EASY MATH CLAIM UR FREE 10 POINTS!!!!!!
A classroom has 60 students in total
42 can swim
46 can bike
50 can skate
55 can badminton
How many students can play all 4 sports
Answers
Answer: You see if out of the 60 students in total42 can swim46 can bike50 can skate55 can badmintonThen there must be some students who are playin all sports because if each student played one sport, there would be 193 students in total, not 60. Since we know this, it must be wise to say that the lowest number of students playing sports one, is the lowest number of students playing all 4 sports to add up to 60.
Step-by-step explanation: hope this helps0^0
Graph the numbers that are solutions to both inequalities below.
3x>12 and 2x/3 is less than or equal to 6
Answers
Answer:
3x>12 2x/3 ≤ 6
3x>12, x = 4 2x/3, x = 2 ≤ 6
Amy and Cole start at the same point and begin skiing in different directions. Amy is skiing west at a speed of 4 miles per
hour. Cole is skiing north at a speed of 2 miles per hour.
After how many hours will they be exactly 8 miles apart? Round your answer to two decimal places.
Answers
Answer:
1.79
Step-by-step explanation:
Using the distance formula, we can find the distance between them as a function of time t:
D(t)=(x0−x1)2+(y0−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=(−4t−0)2+(0−2t)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=16t2+4t2‾‾‾‾‾‾‾‾‾‾√=20t2‾‾‾‾√=t20‾‾‾√
(Note that we can say t2‾‾√=t and not |t| because in this question t>0). Setting this equal to 8 and solving for t, we find
t20‾‾‾√t=8=820‾‾‾√≈1.79
Two students describe how to solve the equation, 23+n=29 . Student A says to add 23 to both sides, while Student B says to subtract 23 from both sides.
Answers
Answer:
la respuesta es restarle el 23 a los dos lados , eso de daria n=6 de resultado
Step-by-step explanation:
Answer:
Student B is correct!!!!
Step-by-step explanation:
1st step subtract 23 on both sides(which means student B is correct)
n=6
Student B is correct!!!!
Which verbal expression best represents the algebraic expression 5a - 7?
A.Five less than the sum of a number and seven.
B.The sum of seven and the product of five and a number.
C.Seven less than the product of five and a number.
D.Five times seven subtracted from a number.
Answers
Answer:
c Is the right answer for the question
The sentence that represents the given equation is required.
The correct option is C. Seven less than the product of five and a number.
The given expression is
[tex]5a-7[/tex]
[tex]5a[/tex] means the product of a number [tex]a[/tex] and [tex]5[/tex]
[tex]-7[/tex] means [tex]7[/tex] less than [tex]5a[/tex].
So, the correct verbal expression that represents the given expression is option C. Seven less than the product of five and a number.
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7.RP.1,2 Alissa mows yards to earn spending money. She earns $20 for each yard she mows. Using y, for yards, and m for money, which equation represents the amount of money she will earn after mowing y yards?
A. m = 20y
B. m = 20+ y
C. y = 20m
D. y= 20/m
Answers
Answer: a
Step-by-step explanation: I am 97% sure
Answer:20y
Step-by-step explanation: 20y multiplies and shows the amount of money she would make per yard 20 (y) (how many yards) which is y
Using the following graph, determine the equation of the graph in slope intercept form.
Answers
The slope is 2 because you go up 2 and by the right by one. 2 divided by 1 is 2.
The y intercept is 9.
the equation of the graph in slope intercept form.
[tex]y=2x+9[/tex]
Given :
We are given with the graph of a line
Slope intercept form of a line is y=mx+b
where m is the slope and b is the y intercept .
To find out slope m we use slope formula
Lets pick any two points from the graph
[tex](0,9) and (1,11)[/tex]
Apply slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{11-9}{1-0} =2[/tex]
Slope is 2
Y intercept is the point where the graph crosses y axis
Graph crosses y axis at (0,9)
y intercept b=9
Now we frame equation of line using slope and y intercept
[tex]y=mx+b\\y=2x+9[/tex]
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7. Test your knowledge of lines with the following:
a. Are the two lines in the figure below parallel?
NAIO
b. Are the adjacent lines in the figure below parallel?
Answers
Answer:
a. Yes, the lines are parallel. The rectangles create an optical illusion that makes the lines appear to be crooked.
b. Yes, the lines (3rd and 4th in diagram) are parallel. To show this is true, place two rulers or straightedges along the lines. You’ll then see that they’re parallel.
Step-by-step explanation:
PENN
Answer:
1.
a. 12° + 68° = 80 neither
b. 95°+ 85° = 180° Supplementary angles
c. 43° + 48° = 91° neither
d. 70°+ 20° = 90° Complimentary angles
2.
angle a = 140
angle b = 105
angle c = 60
3.
a. ∠1 = ∠AEB
b. ∠2 = ∠BEC
c. ∠3 = ∠CED
d. ∠4 = ∠DEA
4.
a. right
b. straight
c. obtuse
d. acute
5.
a. adjacent
b. adjacent
c. vertical
d. vertical
6.
a. perpendicular
b. parallel
c. neither
d. perpendicular
7.
a. Yes
b. Yes
Step-by-step explanation:
A normal body temperature for a human is approximately 98° Fahrenheit. What is this temperature in degrees Celsius? Round your answer to the nearest tenth.
Answers
Answer:
37°C
Step-by-step explanation:
The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,
➳ C/5 = F -32/9
➳ C/5 = 98 - 32/9
➳ C/5 = 66/9
➳ C = 66/9 × 5
➳ C = 36.66 °C ≈ 37°C
Hence the body temperature in Celsius measure is 37°C .5) Which number is greater than 985,887 0 985,599 O 984,978 986,331 985,770
Answers
Answer:
986,331
Step-by-step explanation:
Hello!
Answer:
Your answer sould be 986,331!
Step-by-step explanation:
Hope this helps! Have a good day/night! <3
2 1/5 -5/6 subtract . Simplify
Answers
Answer:
41/30
Step-by-step explanation:
.....
............
Answer:
41/30
Step-by-step explanation:
NEED ASAP!! ILL GIVE YOU 30 points!!
Hopt decided to sell some mimstoons (x) and kents (y). Altogether,
she planned to sell at least 8 items.
Write an inequality showing the above constraint.
Answers
Answer:
X+Y is greater then or equal to 8
Step-by-step explanation:
In total she wants to sell at least 8 items which implies shes willing to sell more (so greater or equal to) then it's adding X+Y bc those are the items that she is selling
According to the graph, what is the value of the constant in the equation
below?
25+
(3.25)
Height
Constant
Width
20 +
15
(5, 15)
Height
10
(15,5)
(25,3)
10
15
20
25
Width
O A. 5
B. 100
O c. 10
O D. 75
Answers
Answer:The Answer is C
Step-by-step explanation:
The value of the constant in the equation below is 100. So, the correct option is (C).
What is Height?Height also known as elevation is defined as the vertical distance either between the top and bottom of something or between a base and something above it. It refers to something measured vertically high or low.
Height is body measurement usually measured in feet (feet) + inch (in) and centimeter (cm) where these are length measurements, so the SI unit will be meter.
Height equation: H= C/W
where, H is the height, C is the constant and W is the width.
We choose a point given in the graphic, I will choose (4,25), which means that when W=4 and H=25 . We use this to find the constant. So
25=C/3
C= 100
Thus, the value of the constant in the equation below is 100. So, the correct option is (C).
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I need to know how to simplify 18 - 9 x (-4) ÷ 3 + 10 x 2
Answers
Okay let’s put PEMDAS into mind.
PEMDAS: parenthesis, exponents, multiplication, division, addition, subtraction (left to right)
18-9•(-4) /3 +10•2
Multiplication & Division comes first (left to right) so...
-9•(-4) = 36
bring down the divided by 3...
36/3 = 12
Bring the whole equation down...
18+12+10•2
Once again, there is another to multiply so...
10•2 = 20
18+12+20
All is the same so add them up to get...
50
^ That’s the answer.
18-9(-4)/3+10•2
18-(-36)/3+20
18-(-12)+20
18-8
10
How many 2/3 cup servings are there in a container that holds 7 cups?
Answers
Answer:
10.5
Step-by-step explanation:
Help pls also show work if needed!!
Answers
Answer:
2a. No False
2b. Yes True
2c. Yes True
2d. No False
Step-by-step explanation:
I'm having trouble with finding the solutions.
Answers
Answer:x=−8 and y=8
Step-by-step explanation: Do you want it solved step by step?
Answer:
One solution, (-8,8)
x = -8
y = 8
Step-by-step explanation:
-6x + 3y = 72 then 3y = 72 + 6x, y = 24 + 2x
5x + 8y = 24
substitute for y:
5x + 8(24 + 2x) = 24
5x + 192 + 16x = 24
21x = -168
x = -8
y = 24 + 2(-8) = 8
Restaurateur Denny Valentine is evaluating two sites, Raymondville and Rosenberg, for his next restaurant. He wants to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). Denny commissions a market survey to test this hypothesis. The market researcher used a random sample of X families from each suburb, and reported the following:
1 = X times per month and 2 = X times per month. Assume that σ1 = 2 and σ2 = 3. With α = .01, the appropriate decision is:_________
Answers
Answer:
Step-by-step explanation:
From the information given:
let [tex]\mu_1[/tex] be the men of the population 1 (Raymondville) and [tex]\mu_2[/tex] be the mean of the population 2 (Rosenberg).
Here the Restaurateur wants to prove that Raymondville residents dine out more often than Rosenberg residents.
i.e [tex]\mu_1 > \mu _2[/tex]
The null hypothesis and alternative hypothesis:
[tex]H_o : \mu_1 \le \mu_2 \\ \\ H_a: \mu_1 > \mu_2[/tex]
[tex]H_o : \mu_1 \le \mu_2\ \ vs \ \ H_a: \mu_1 > \mu_2 \implies \text{upper tailed test}[/tex]
The shows that this test is one-tailed with the rejection area on the right side.
The appropriate decision: is to reject [tex]\mathbf{H_o}[/tex] if the test statistics is greater than the critical value)
What is the area of the triangle?
O 216 cm?
O 288 cm2
O 324 cm2
O 576 cm
Base:36
Hight 16
Answers
Answer:
288 cm^2
Step-by-step explanation:
Area of Triangle: 1/2bh
1/2(36)(16)
1/2(576)
288
216 is the real answer i took the test.
The figure shows two parallel lines cut by a transversal. Which angle pairs are alternate exterior angles? Choose all that apply. Please help PT.3
A. Angle A and Angle G
B. Angle B and Angle H
C. Angle B and Angle F
D. Angle B and Angle G
E. Angle H and Angle A
F. Angle E and Angle D
Answers
Answer:
D and E
Step-by-step explanation:
Answer: d and e!
Step-by-step explanation:
:)
Write an
explicit formula for An, the nth term of the sequence 9, 16, 23, ....
Answers
Answer:
2+7n
Step-by-step explanation: