The center of the inscribed circle of Triangle ABC is point , and the center of the circumscribed circle of Triagnle ABC is point .
Answers
Answer:
Part A: The center of The inscribed circle is the point S
Part B: The center of The circumscribed circle is the point P
Step-by-step explanation:
Part A: Find the center of The inscribed circle of ΔABC
The inscribed circle will touch each of the three sides of the triangle in exactly one point,
The center of the inscribed circle is the point of intersection between the angle bisectors of the triangle.
So, According to the previous definition:
A₁A₂ and B₁B₂ are the angle bisectors of ∠A and ∠B
So, the inter section between them is the center of The inscribed circle
So, the center of The inscribed circle is the point S
=====================================================
Part B: Find the center of The circumscribed circle of ΔABC
The circumscribed circle is the circle that passes through all three vertices of the triangle.
The center of the circumscribed circle is the point of intersection between the perpendicular bisectors of the sides.
So, According to the previous definition:
P₁P₂ and Q₁Q₂ are the perpendicular bisectors of AB and BC
So, the inter section between them is the center of The circumscribed circle
So, the center of The circumscribed circle is the point P
Related Questions
what is the solution to the linear equation? 2.8y+6+0.2y=5y-14
Answers
Combine like terms
3y+6=5y-14
Subtract 6 from both sides
3y=5y-20
Subtract 5y from both sides
-2y=-20
Divide both sides by -2
Y=10
Answer:
Step-by-step explanation:
D)10
How does the volume of a cylinder change when its diameter is quadrupled?
Answers
When the diameter of a cylinder is quadrupled, its volume increases by a factor of 4 because the volume is directly proportional to the square of the radius.
When the diameter of a cylinder is quadrupled, it means the diameter is multiplied by 4.
The formula for the volume of a cylinder is [tex]\(V = \pi r^2 h\)[/tex], where r is the radius and h is the height.
If the diameter is quadrupled, the radius would be doubled because the radius is half the diameter.
Let's denote the original radius as r and the new radius after quadrupling the diameter as 2r.
Substituting the new radius into the volume formula, we get:
Original Volume: [tex]\(V_1 = \pi r^2 h\)[/tex]
New Volume: [tex]\(V_2 = \pi (2r)^2 h = \pi (4r^2) h\)[/tex]
We can see that the new volume is 4 times the original volume [tex](\(V_2 = 4V_1\))[/tex].
So, when the diameter of a cylinder is quadrupled, its volume increases by a factor of 4.
Explain why 0.77 > 0.077
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If a customer wants to cover an area 20ft wide by 57ft long with rock, how many square feet does he have to cover?
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Which is not a factor of 56? A. 4 B. 8 C. 14 D. 26
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All of the following are equal except
a)-|5|
b)-|-5|
c)|-5|
d) the opposite of 5
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The vertices of a triangle are A(4,5), B(7,1), and (9,6). After reflecting over the line x = 5, what are the new coordinates? A) A'(5,6), B'(1,3), C'(6,1) B) A'(6,5), B'(3,1), C'(1,6) C) A'(5,5), B'(5,1), C'(5,6) D) A'(5,4), B'(5,7), C'(5,6)
Answers
the answer is B i just did it
Answer:
The answer is B.
Step-by-step explanation:
I took the benchmark too.
7r. r represents a fraction which value of r makes the expression equal a number less than 7? 4/4 or 4/3 or 4/5 or 4/1
Answers
= 7 * 4/4
= (7*4)/4
= 28/4
= 7
= 7 * 4/3
= (7*4)/3
= 28/3
= 9 1/3
= 7 * 4/5
= (7*4)/5
= 28/5
= 5 3/5
= 7 * 4/1
= (7*4)/1
= 28/1
= 28
ANSWER: The fraction that gives a solution less than 7 is 4/5. 4/5 multiplied by 7 is 5 3/5.
Hope this helps! :)
The value of r that makes the expression 7r less than 7 is 4/5, as multiplying 7 by 4/5 results in 5.6, which is less than 7.
The question asks which value of r makes the expression 7r equal a number less than 7, given the choices of 4/4, 4/3, 4/5, or 4/1. To find the solution, we simply multiply 7 by each fraction option and see which results in a number less than 7.
For 4/4 (or 1): 7 * 1 = 7For 4/3: 7 * (4/3) > 7For 4/5: 7 * (4/5) = 5.6, which is less than 7For 4/1 (or 4): 7 * 4 > 7Thus, the value of r that makes the expression 7r result in a number less than 7 is 4/5.
find the difference. express your answer in simplest form. (4r/s) - (r/s)
Answers
(4r / s) - (r / s)
We observe that we have the term r / s in the whole expression.
Therefore, we can draw common factor.
Rewriting we have:
(r / s) * (4-1)
(r / s) * (3)
3 (r / s)
Answer:
the difference is:
3 (r / s)
the formula for finding the area of a triangle is a equals 1/2 x base height a triangle has height 12 in an area of 54 in squared what is the length of its base
Answers
54=1/2 x b x 12
54 =6b
54/6
9=b
a trapezoid with an area of 166.75 in has bases that measure 21 in and 8 in find the height of the trapezoid
Answers
The area of trapezoid is calculated as -
Area of trapezoid = [tex] \frac{a + b}{2} X height [/tex]
Here, a = base 1
b = base 2
Height is the height of trapezoid.
It is given that,
Area of trapezoid = 166.75 in
Base 1, a = 21 in
Base 2, b = 8 in
Area of trapezoid = [tex] \frac{a + b}{2} X height [/tex]
166.75 in = [tex] \frac{21 in + 8 in}{2} X height [/tex]
Height = [tex] \frac{ 166.75 in}{14.5}
Height = 11.5 in
Thus, height of trapezoid = 11.5 In
The circumference of a circle is approximately 37.7 centimeters. Enter the radius of the circle, in centimeters. Round your answer to the nearest whole number.
Answers
18.85 = pi x r
r = 18.85/pi
or
r = 6
Hope this helps
The circumference of the circle is given as 2[tex] \pi [/tex]r where [tex] \pi [/tex] is a constant whose value is equal to 22/7 and r is the radius of the circle
From the given problem, we have the circumference =37.7
2[tex] \pi [/tex]r = 37.7
2*22/7*r = 37.7
r = 37.7*7/(22*2)
r = 263.9/44
r = 5.99
r = 6cm
Radius = 6 centimeters (Rounded to nearest whole number)
kendra flips a coin 3 times what is the probability that she flips tails all 3 times
Answers
To find the probability of flipping tails all three times, we need to consider that each flip of a fair coin has a probability of 0.5 of landing on tails.
Since the coin flips are independent events (the outcome of one flip doesn't affect the outcome of another flip), we can simply multiply the probability of each individual flip.
So, the probability of flipping tails three times in a row is:
P(Tails, Tails, Tails) = P(Tails) × P(Tails) × P(Tails)
P(Tails, Tails, Tails) = 0.5 × 0.5 × 0.5
P(Tails, Tails, Tails) = 0.5³
P(Tails, Tails, Tails) = 0.125
So, the probability that Kendra flips tails all three times is 0.125 or18.
The probability of flipping tails on a fair coin is 0.5 (or 1/2) since there are two equally likely outcomes, heads or tails. When flipping a coin three times, each flip is independent, meaning the outcome of one flip doesn't affect the outcome of another.
To find the probability of flipping tails all three times, we multiply the probability of each individual flip.
So, 0.5 (tails on the first flip) times 0.5 (tails on the second flip) times 0.5 (tails on the third flip) equals 0.5³ = 0.125.
Therefore, the probability that Kendra flips tails all three times is 0.125 or 1/8.
Complete Question:
Kendra flips a coin 3 times what is the probability that she flips tails all 3 times.
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
Answers
Answer:
5+ 2(3+2x) = x + 3(x+1) or B
Step-by-step explanation:
correct on edge 2021
The Equation have No solution is 4(x + 3) + 2x = 6(x + 2).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
First, 4(x + 3) + 2x = 6(x + 2)
4x + 12 + 2x = 6x + 12
6x + 12 = 6x+ 12
0 = 0
Thus, the equation have No solution.
Second, 5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 6x = x + 3x + 1
6x+ 11 = 4x+ 1
2x = -10
x= -5
Thus, the equation have one solution.
Third, 5(x + 3) + x = 4(x + 3) + 3
5x+ 15 +x = 4x + 12 + 3
6x +15 = 4x + 15
2x = 0
x= 0
Thus, the equation have one solution.
Learn more about equation here:
https://brainly.com/question/29657983
#SPJ7
which is a value of x, when 3x²+4=40
Answers
3x^2=36
x^2=12
x=+or-sqrt(12)
:)
Let's solve the equation step by step!
[tex]3 x^{2} + 4 = 40[/tex]
Subtract 4 from both sides.
[tex]3 x^{2} = 36[/tex]
Divide both sides by 3.
[tex] x^{2} = 12[/tex]
Solve the equation by taking the positive and negative root of 12.
[tex]x = \sqrt{12} = 2 \sqrt{3} = 3.46... \\or\\ x = - \sqrt{12} = -2 \sqrt{3} =3.46...[/tex]
The exact answer includes the roots, the other answer is the answer in two decimals.
~Hope this helps you!
major help and if you can, please explain how you got your answer
Answers
_______________________________________________________
Explanation:
______________________________________________________
The formula for the surface area of a cube is:
______________________________________________________
→ A = 6a² ;
______________________________________________________ → in which:
______________________________________________________
A = surface area of the cube— for which we shall solve ;
(in "square units" ; or, " in² " ; in our case) ;
a = side length = " 8 in " (given);
→ Note: A cube has all equal side lengths.
→ The "6" in the formula accounts for "6 sides" of a cube.
_______________________________________________________
→ To solve for the surface area of the cube; plug in our known value(s);
& solve; as follows:
_______________________________________________________
→ A = 6 a² ;
= 6 * (8 in)² ;
= 6 * 8² * in² ;
= 6 * 8 * 8 * in² ;
= 48 * 8 * in² ;
= 384 in² ;
_______________________________________________________
The answer is: " 384 in² " ;
→ which is: Answer choice: [A]: " 384 in² " .
_______________________________________________________
The lowest altitude of an altocumulus cloud is about 3 8 feet. The highest altitude of an altocumulus cloud is about 3 times the lowest altitude. What is the highest altitude of an altocumulus cloud? Write your answer as a power
Answers
It is given The lowest altitude of an alto cumulus cloud is about [tex]3^{8}[/tex] feet.The highest altitude of an alto cumulus cloud is about 3 times the lowest altitude . The question is asking us to find the highest altitude of an alto cumulus cloud.
The the highest altitude of an alto cumulus cloud = [tex]3 .(3^{2}) =3^{1+2}=3^{9}.feet.[/tex].
It is given The lowest altitude of an alto cumulus cloud is about [tex]3^{8}[/tex] feet.The highest altitude of an alto cumulus cloud is about 3 times the lowest altitude . The question is asking us to find the highest altitude of an alto cumulus cloud.
The the highest altitude of an alto cumulus cloud = [tex]3 .(3^{2}) =3^{1+2}=3^{9}.feet.[/tex].
how do you do application of linear equations
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Numerical Expressions -I need help to understand how to complete this example . Any help would be appreciated.
Answers
Basketball 16+2=18 (2*8)+2
Baseball 40-5=36 (5*8)-4
Softball 18+6=24 ( (5*8)-4)/2 +6
8+18+36+24=86
Martina chose a random sample of 10 bags of candy from two different Brands, A and B. All bags in the sample are the same size. Martina counts the number of candy pieces in each bag and plots the results on two dot plots.
(see photo)
Based on the plots, which statement is a valid comparison of the number of candies in the bags of the two Brands?
A. The number of candies in the bags from Brand B is greater and more consistent than the number of candies in the bags from Brand A.
B. The number of candies in the bags from Brand B is greater and less consistent than the number of candies in the bags from Brand A.
C. The number of candies in the bags from Brand B is fewer and more consistent than the number of candies in the bags from Brand A.
D. The number of candies in the bags from brand B is fewer and less consistent than the number of candies in the bags from brand A.
Answers
The number of candies in the bags from brand B is fewer and less consistent than the number of candies in the bags from brand A.
use (r,16) to solve y=2x-4
Answers
With this knowledge, plug in r for x, and 16 for y
16 = 2(r) - 4
Isolate the r, add 4 to both sides
16 (+4) = 2r - 4 (+4)
20 = 2r
Divide 2 from both sides
20/2 = 2r/2
r = 20/2
r = 10
hope this helps
Kim spent $26 on a magazine and 6 notepads have the magazines cost $2 then how much was each Notepad
Answers
The sine of 37 degrees is equal to the cosine of what angle
Answers
Answer:
53
Step-by-step explanation:
The sine and cosine have to be equal to 90 degrees.
Can someone answer a b and c. Will mark brainliest!!!!
Answers
c=$9.05
the ratio of boy to girls in 8th grade is 5 to 3 ,how many girls are there in 8th grade if there are 80 students in 8th grade
Answers
------- = --- Note that 5+3 = 8. Thus, (5/8) of the 80 students are boys and
girls 3 (3/8) of the 80 students are girls. This comes out to 30 girls (and 50 boys) Note that 30+50=80 (students)
. Thus, the number of girls =30.
Let's denote the number of boys as 5x and the number of girls as 3x. According to the problem, the total number of students is the sum of both boys and girls:
5x + 3x = 80
Combining the terms, we get:
8x = 80
Now, solving for x:
x = 80 / 8
x = 10
Now that we know the value of x, we can find the number of girls:
Number of girls = 3x = 3 * 10 = 30
Therefore, there are 30 girls in the 8th grade.
10. Write an inverse variation to model the situation and answer the question. Two rectangular fields have the same area. One measures 75 yd by 60 yd. If the other has a length of 72 yd, what is its width?. show your work.
Answers
equation is: width = area / length
width = 62.5 yd
Explanation:
For the first rectangle:
We have:
length = 75 yd and width = 60 yd
Therefore:
area = length * width
area = 75 * 60
area = 4500 yd²
For the second rectangle:
We have:
area = area of first rectangle = 4500 yd²
length = 72 yd
area = length * width
width = area / length ............> The required equation
width = 4500 / 72
width = 62.5 yd
Hope this helps :)
Isabella and Mateo each collect beautifully polished rocks. The weights, in ounces, of their rocks are listed below.
Which statistical measure could be used to support the claim that Mateo’s rocks generally weigh more than Isabella’s rocks?
Question 7 options:
A) mean
B) median
C) mode
D) range
Answers
1) For the Rocks of Isabella:
Mean = (Sum of all numbers)/Total numbers
So, Mean weight of Isabella's Rocks = 7.64
Median is the central value.
So, Median weight of Isabella's Rocks = 6
Mode is the most frequently occurring value.
So, Mode weight of Isabella's Rocks = 8.75
Range = Maximum - Minimum
So, Range weight of Isabella's rocks = 13.75
2) For Mateo's Rocks:
Mean = 8
Median = 6
Mode = 8
Range = 14.75
From the above data, we can see that the Range of Mateo's Rocks is more as compared to the Isabella's Rocks.
Thus, Range can be used be used to support the claim that Mateo’s rocks generally weigh more than Isabella’s rocks.
So option D is the correct option
genna painted a table top that is shaped like a circle . the circumferance of the tabletop is 6 feet which measurement is closest to the area of the tabletop in square feet?
Answers
1. You must apply the formula for calculate the area of a circle, which is:
A=πr^2
Where A is the area of the circle and r is the radius of the circle.
2. You have that the diameter is 6 feet, then the radius is:
r=D/2
r=3 feet
3. When you apply the formula shown above, you obtain:
A=9π feet^2
A=28.27 feet^2
The answer is: 28.27 feet^2
circumference = 2*pi*r = 6
solve for r:
r = 6/(2*pi) = 0.9554 ft
area = pi*r^2 = 0.9554*0.9554 * 3.14 = 2.866 sq. ft
Please help ASAP! And please show steps or explain!
Answers
[tex]10 \times 3.1\overline{6} - 3.1\overline{6} = 31.6\overline{6} -3.1\overline{6} = 28.5 = 9 \times 3.1\overline{6}[/tex]
Then you have
[tex]3.1\overline{6} = \dfrac{28.5}{9} = \dfrac{285}{90} = \dfrac{19}{6}[/tex]
The equivalent fraction is 19/6.
556 multiplied by 34
Answers
Mark brainliest if this helped :D