Plato-Match each set of conditions with the corresponding relationship between ∆ABC and ∆XYZ and the criterion (if any) that proves the relationship.
Answers
The second one on the left is matched with the last one on the right, because it says that two of the angles are equal, and one side is equal, hence, AAS, or ASA.
The last one on the left is matched with the first one on the right, because it says all three sides are equal, therefore, SSS.
The third one on the left is matched with the second one on the left. I'll be honest, I'm not sure why this is, (geometry isn't my best subject either Dx) but by the process of elimination, this is it.
Related Questions
PLZ HELP! WILL MARK THE BRAINIEST!!!!!!!
The system Mx+Ny=P has the solution (1,3), where Rx+Sy=T
M,N,P,R,S and T are non zero real numbers. Which of the following system would not have (1,3) as a solution.
Answers
Answer: C.
[tex]Mx+Ny=P\\(2M-R)x+(2N-S)y=P-2[/tex]
Step-by-step explanation:
Given: The system [tex]Mx+Ny=P\\ Rx+Sy=T[/tex] has the solution (1,3), where M,N,P,R,S and T are non zero real numbers.
A.
[tex]Mx+Ny=P\\ 7Rx+7Sy=7T[/tex]
Divide 7 on both sides on the second equation , we will get
[tex]Mx+Ny=P\\ Rx+Sy=T[/tex]
Thus, this system has solution (1,3)
B.
[tex](M+R)x+(N+S)y=P+T.......(1)\\\\ 7Rx+7Sy=7T................(2)[/tex]
Subtract equation (2) from equation (1), we get
[tex]Mx+Ny=P\\ Rx+Sy=T[/tex]
Thus, this system has solution (1,3)
C.
[tex]Mx+Ny=P...........(1)\\\\(2M-R)x+(2N-S)y=P-2T............(2)[/tex]
We can rewrite the equation (2) as
[tex]2Mx-Rx+2Ny-Sy=P-2T............(3)[/tex]
Multiply 2 on both sides of equation (1), we get
[tex]2Mx+2Ny=2P.........(4)[/tex]
Subtract equation (3) from (4), we get
[tex]Rx+Sy=P+2T[/tex]
But [tex]Rx+Sy=T[/tex]
Thus, this system does not have solution as (1,3).
D.
[tex]\frac{M}{2}+\frac{N}{2}=\frac{P}{2}\\\\Rx+Sy=T[/tex]
Multiply 2 on both sides on the first equation , we will get
[tex]Mx+Ny=P\\ Rx+Sy=T[/tex]
Thus, this system has solution (1,3)
What is a tangent of a circle
Answers
Mount Rushmore is a sculpture that was carved using a model with a scale of 1 in :1 ft. If the model of George Washington’s face was 5 ft tall, how tall is his face on Mount Rushmore?
Answers
The height of the face is 60 inch.
What is unit conversion?Unit conversion is a multi-step process that involves multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding.
As 1inch = 1ft,
then to find out how many inches is George Washington’s face.
As there are 12inch in a foot
=12*5
=60inches
Thus , his face is 60ft tall.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ2
A dart hits the circular dartboard shown below at a random point. find the probability that the dart lands in the shaded square region. the radius of the dartboard is 11in, and each side of the shaded region is 4in.
Answers
Answer:
.13 or 13%
Step-by-step explanation:
P = area of shaded region/area of entire board
Entire area: 3.14 * (11 * 11) = 379.94
shaded area: 3.14 * (4 *4) = 50.24
p = 50.24/379.94 = .13 or 13%
The risk set by the researcher for rejecting a null hypothesis when it is true is called the
Answers
_____________________________
In PQR, point S lies on QR. If PS is perpendicular to QR, which term describes PS?A. Perpendicular bisector
B. Angle bisector
C. Median
D. Altitude
Answers
Hope it helps.
the _____ of a central angle are two radii of the circle.
A. sides
B. arcs
C. verticals
D. measures
Answers
A.sides
Answer:
A.Sides.
Step-by-step explanation:
The central angle is the angle made by any arc at the center of the circle.Central angle is formed by two rays from the centre which cuts the circle at two points .The part of the two rays which lie inside the circle is the radius of the circle .
We say :
The sides of a central angle are two radii of the circle.
Write an equation of the line that passes through (-5,-1) and is parallel to the line y=4x-6
Answers
Sets that cover a range of points, including those between isolated points, and cannot be written as lists are called _______ sets.
A. mapping
B. continuous
C. finite
D. discrete
Answers
The cost of fertilizing a lawn is $0.25 per square foot. find the cost to fertilize the triangular lawn whose base is left parenthesis 8 plus startroot 19 endroot right parenthesis8+19 feet and altitude is startroot 76 endroot76 feet.
Answers
A=(1/2)(b)(h) = (1/2) (8+√19)(√76) = 19+8√19 square units
Then, you multiply this by $0.25 to determine the total cost. The answer would be $13.5.
A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon. It's an octagon with on side 4/3x - 1/3 and another side x+7
Answers
To find the perimeter of the regular octagon, set the expressions for the sides equal to each other to find the value of x, substitute this value into either of the expressions for the sides to find the side length, and finally multiply the side length by 8.
Explanation:In mathematics, a regular polygon is a polygon that is equilateral and equiangular. In this case, you have an octagon, which means it has 8 equal sides. If one side is defined as 4/3x - 1/3 and another side is defined as x+7, since it's a regular octagon, all sides must be equal. Therefore, to find the perimeter of the octagon, you need to set the two expressions for the sides equal to each other to find the value of x, and then substitute the value of x into either of the expressions for the sides. Multiply this side length by 8 to get the perimeter.
Here are the steps:
Set the expressions for the sides equal to each other: 4/3x - 1/3 = x + 7Solve for x.Substitute the value of x into either of the side expressions to find the side length.Multiply the side length by 8 to get the perimeter.Learn more about Perimeter of a Regular Polygon here:https://brainly.com/question/19034638
#SPJ12
In a regular polygon, all sides and angles are equal. Given a regular octagon with two sides expressed as 4/3x - 1/3 and x+7, the expressions should be equal since all sides are equal in a regular polygon. Having found x, you can multiply by 8 to find the perimeter of the octagon.
Explanation:Thus, If a polygon is regular, this means all of its sides have the same length. If we're given that one side of the regular octagon is 4/3x - 1/3 and another side is x+7, these two expressions should be equal to each other since it's a regular polygon. This gives us an equation:
4/3x - 1/3 = x + 7
Solving for 'x' will give us the length of one side of the regular polygon. Once you have the length of each side, you can find the perimeter of the regular octagon by multiplying this length by 8 (since an octagon has 8 sides).
Learn more about Regular polygons here:https://brainly.com/question/18179471
#SPJ12
George and Carmen went on a bicycle trip. They took a bus to their starting point, and then biked the rest. They traveled 275 kilometers in total, and they biked 55 kilometers more than they were bussed. Let x = kilometers traveled by bike and y = kilometers traveled by bus. Find how many kilometers they traveled by bike.
Answers
x = y + 55
(y + 55) + y = 275
2y + 55 = 275
2y = 275 - 55
2y = 220
y = 220/2
y = 110 ..... bus
x = y + 55
x = 110 + 55
x = 165 <=== bike
Which method(s) can be used to solve a system of equations? Select all that apply.
distributing
graphing
substitution
formulas
addition
modeling
Answers
Answer:graphong, substitution, addition
Step-by-step explanation:
Please help! Geometry.
Answers
[tex]sin(51)= \frac{y}{12} [/tex]
and 12 sin(51) = y and y = 9.325
The second one has the reference angle as the unknown. You could use any of the identities here because you have all the sides of the triangle, but I will use sin again:
[tex]sin \beta = \frac{12}{13} [/tex]
and [tex]sin \beta =.9230769[/tex]
and [tex]sin ^{-1}(.9230769)=67.38 [/tex]
The next one has a referece angle of 13 with 24 being the side adjacent to it and the unknown being the side across from it. You will use the tangent identity here:
[tex]tan(13)= \frac{x}{24} [/tex]
and 24 tan(13) = x so x = 5.540
The last one has a reference angle of 20 with the hypotenuse as the unknown x, and the side across from it as 10. Use the sin identity again:
[tex]sin(20)= \frac{10}{x} [/tex] and
[tex]x sin(20)=10 [/tex] and
[tex]x= \frac{10}{sin(20)} [/tex] with x = 29.238
Everything is in regards to the reference angle; you HAVE to be able to identify the reference angle and then how the given sides are related to it.
Write an equation in point-slope form of the line having the given slope that contains the given point. m=5m=5, (4,3)
Answers
an equation in point-slope form is : y -3 = 5 (x-4)
What methods can be used to rewrite square trinomials and difference of squares binomials as separate factors?
Answers
Difference of squares is simply written in the form of (a² - b²) and to find its roots, you simply simplify the previous expression to be (a+b)(a-b) where a and b are the roots
i.e. (a² - b²) = (a+b)(a-b)
2- As per square trinomials:
Let's assume that the square trinomial is written in the form of (ax² + bx +c) where a,b and c are constants.
Now the basic formula to get the two roots of this expression is given as shown in the below picture.
This formula is valid for almost all expressions, nevertheless, there is a special case (perfect square) in which we do not have to use to use this formula.
Perfect Square:
Let's assume that we have an expression written in the form of (ax² + cx +b) where a,b and c are constants. If you find that the value of a is the square of a first binomial, b is the square of a second binomial and c is the twice the value of multiplying a and b (i.e. c=2ab), then this expression is said to be a perfect square and can simply be simplified as (a+b)²
Note: If the expression of the perfect square was (ax² - cx +b), then the simplification would be (a-b)²
Final answer:
Square trinomials and difference of squares binomials can be rewritten into separate factors using methods such as completing the square, the difference of squares method, and factoring by grouping.
Explanation:
Completing the square method: Rewrite square trinomials by completing the square to factor them into separate factors. For example, [tex]x^2 + 6x + 9[/tex] can be written as (x + 3)(x + 3).
Difference of squares method: Rewrite binomials with a difference of squares by factoring them into separate factors. For instance, [tex]x^2 - 4[/tex] can be expressed as (x + 2)(x - 2).
Factoring by grouping: For more complex trinomials, you can use the method of factoring by grouping to rewrite them as separate factors.
One person can do a certain job in fifteen minutes, and another person can do the same job in thirty minutes. How many minutes will it take them to do the job together?
Answers
1/15 and 1/30
The amount of work that they can do together is:
t/15+t/30
And we want to solve for when they can complete the job together:
t/15+t/30=1 making a common denominator
(t/15)(2/2)+t/30=1
(2t+t)/30=1 multiply both sides by 30
2t+t=30 combine like terms on left side
3t=30 divide both sides by 3
t=10
So it will take them 10 minutes to complete the job when working together.
‘B’ can do the same job = 1/30 Job/minutes
Both ‘A’ & ‘B’ can do the Job = 1/15+1/30
=(2+1)/30
=3/30=1/10 job/minutes
Both A & B can do the Job in 10 minute
Find the sum of a finite arithmetic sequence from n = 1 to n = 13, using the expression 3n + 3.
Answers
So the first term is 3+3 and the last term is 3(13)+3
So the sum is:
13(6+42)/2
312
Answer:
The sum of a finite arithmetic sequence from n = 1 to n = 13 is 312.
Step-by-step explanation:
The given expression is
[tex]3n+3[/tex]
For n=1,
[tex]3(1)+3=6[/tex]
For n=2,
[tex]3(2)+3=9[/tex]
For n=3,
[tex]3(3)+3=12[/tex]
The required AP is
[tex]6, 9, 12, ...[/tex]
Here first term is 6 and common difference is 3.
The sum of n terms of an AP is
[tex]S_n=\frac{n}{2}[2a+(n-1)d][/tex]
[tex]S_{13}=\frac{13}{2}[2(6)+(13-1)(3)][/tex]
[tex]S_{13}=\frac{13}{2}[12+36][/tex]
[tex]S_{13}=312[/tex]
Therefore the sum of a finite arithmetic sequence from n = 1 to n = 13 is 312.
what doesThe mathematical expression 2 ∈ V means
Answers
Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table.
In which step did Susu first make an error?
Step 1
Step 2
Step 3
Step 4
Answers
The given Quadratic equation is
[tex]4x^2- 8x - 13 = 0\\\\4(x^2- 2 x - \frac{13}{4}) = 0\\\\ (x-1)^2-1^2- \frac{13}{4}=0\\\\ (x-1)^2=\frac{\sqrt{17}}{4}\\\\ x-1=\pm\frac{\sqrt{17}}{4}\\\\ x=1 +\frac{\sqrt{17}}{4} \text{or} x=1-\frac{\sqrt{17}}{4}[/tex]
These are the steps to determine the roots as well as solve the quadratic equation.
You can find the mistake by looking at the procedure of solving the quadratic equation by completing the square solved above.
Answer:
step 3
Step-by-step explanation:
How would you graph a point at -5?
A: Put a point 5 units to the right of zero.
B: Put a point at zero.
C: Put a point 5 units to the left of zero.
Answers
means put a point 5 units to the left of 0
C is answer
Answer:
C: Put a point 5 units to the left of zero.
Step-by-step explanation:
Find the number of possible positive real zeros of 2x^4+14x^3-35x^2
Answers
The polynomial [tex]2x^{4}[/tex] + 14x³ - 35x² has one possible positive real zero according to Descartes' Rule of Signs. We observe one change of sign in the coefficients. Thus, there is a maximum of one positive real root.
Determining the Number of Possible Positive Real Zeros:
To determine the number of possible positive real zeros of the polynomial [tex]2x^{4}[/tex] + 14x³ - 35x², we can use Descartes' Rule of Signs. This rule helps us to count the number of sign changes in the polynomial and thus infer the number of positive real roots.
First, let's observe the original polynomial:
[tex]2x^{4}[/tex] + 14x³ - 35x²
We examine the coefficients: 2, 14, and -35. By running our eye across these coefficients:
From 2 to 14: No sign change (positive to positive).From 14 to -35: One sign change (positive to negative).The polynomial has one sign change. According to Descartes' Rule of Signs, there is a maximum of one positive real root.
Therefore, the number of possible positive real zeros of the polynomial [tex]2x^{4}[/tex] + 14x³ - 35x² is one.
What is the total amount for an investment of $1,250 invested at 9.6% for 12 years and compounded continuously? ≈ $5006.50 ≈ $6125.25 ≈ $4062.65 ≈ $3955.64
Answers
A=p e^rt
A future value?
P present value 1250
E constant
R interest rate 0.096
T time 12 years
A=1,250×e^(0.096×12)
A=3,955.64
The total amount for the investment is approximately $4062.65.
Explanation:To calculate the total amount for an investment of $1,250 invested at 9.6% for 12 years and compounded continuously, we can use the formula A = P * e^(rt), where A is the total amount, P is the principal amount, e is the base of the natural logarithm, r is the annual interest rate, and t is the number of years. Plugging in the values, we have A = 1250 * e^(0.096 * 12). Using a calculator, we find that A is approximately $4062.65.
The length of a rectangle is 3 ft more than twice the width, and the area of the rectangle is 77 ft2 . find the dimensions of the rectangle.
Answers
let : y the length and : x the width
y = 2x +3.....(1)
xy = 77 .....(2)
by (1) subsct : y i n (2)
x(2x+3) = 77
2x²+3x -77 = 0
the descrimnent : b²-4ac ... a =2 b= 3 c = -77
3²-4(2)(-77) = 625 = 25²
x1 = (-3-25)/4 negatif refused
x2 = (-3+25)/4 =22/4 = 11/2
x= 5.5
y = 2(5.5) +3 =14
In a community fitness group, 40% of members run for exercise and 36% of members run and play a sport. What percentage of members who run for exercise also play a sport?
Answers
By dividing the percentage of community fitness group members who run and play a sport (36%) by those who run for exercise (40%), we find that 90% of the members who run for exercise also play a sport.
To determine the percentage of community fitness group members who run for exercise and also play a sport, we can use the information provided. The question states that 40% of members run for exercise and 36% of members run and play a sport. To find what percentage of members who run also play a sport, we need to find the proportion of runners who are also sport players.
To do this, we divide the percentage of members who run and play a sport by the percentage who only run:
Percentage of runners who also play a sport = (Percentage of members who run and play a sport) / (Percentage of members who run for exercise)
So,
Percentage of runners who also play a sport = 36% / 40% = 0.9
We then multiply by 100 to convert this to a percentage:
0.9 × 100 = 90%.
Therefore, 90% of the members who run for exercise also play a sport.
How is the multiplication property for inequalities different from the multiplication property of equality?
Answers
If one multiplies or divides by a negative number, the inequality gets reversed:
x>3 ---> -x < -3!
If the volume for 3-D pyramid A is 300 cm3 and the volume for 3-D pyramid B is 900 cm3, how many times bigger is the volume of pyramid B than pyramid A?
Answers
Answer:
Volume of pyramid B is three times bigger than the volume of pyramid A
Step-by-step explanation:
We are given that:
The volume for 3-D pyramid A is 300 cm³ .
and the volume for 3-D pyramid B is 900 cm³.
We have to tell how many times bigger is volume of pyramid B than volume of pyramid A.
volume of 3-D pyramid B= 900 cm³
= 3×300 cm³
= 3×volume of 3-D pyramid A
Hence, Volume of pyramid B is three times bigger than the volume of pyramid A
Answer:
Step-by-step explanation: 3%
The size of angle aob is equal to 132 degrees and the size of angle cod is equal to 141 degrees. find the size of angle dob.
Answers
angle AOB = 132 and is also the sum of angles AOD and
DOB. Hence
angle AOD + angle DOB = 132° ---> 1
angle COD = 141 and is also the sum of angles COB and BOD. Hence
angle COB + angle DOB = 141° ---> 2
Now we add the left sides together and the right sides of equations 1 and 2
together to form a new equation.
angle AOD + angle DOB + angle COB + angle DOB = 132 + 141 ---> 3
We should also note that:
angle AOD + angle DOB + angle COB = 180°
Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180
and solving for angle DOB:
180 + angle DOB = 132 + 141
angle DOB = 273 - 180 = 93°
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 66 minutes. find the probability that a randomly selected passenger has a waiting time greater thangreater than 3.253.25 minutes. find the probability that a randomly selected passenger has a waiting time greater thangreater than 3.253.25 minutes.
Answers
Le us denote P as the probability that the randomly selected passenger has a waiting time greater than 3.25 minutes.
P = (length of the shaded region) x (height of the shaded region)
P = (6 - 3.25) * (0.167)
P = 2.75 * 0.167
P = 0.40915
P = 0.41
What is 10095 m/a to miles/s
Answers
[tex]\frac{10095 m}{1 s} \times \frac{1 mi}{1609m}=6.27\frac{mi}{s}[/tex]