Decide whether there is enough information to prove that △WXZ≅△YZX using the SAS Congruence Theorem.
A: yes; Because ZW≅XY, ∠W≅∠Y, and WX≅YZ, the two triangles are congruent by the SAS Congruence Theorem
B: yes; Because ZW≅XY, ∠W≅∠Y, and ZX≅XZ, the two triangles are congruent by the SAS Congruence Theorem.
C: no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent sides.
D: no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included angles.
Answers
Answer:
D
Step-by-step explanation:
From the triangle, we can see that:
[tex]ZW\cong XY, \angle W\cong \angle Y\text{ and } ZX\cong XZ[/tex]
However, note that the angle is not between the two sides. Therefore, we cannot use SAS congruence.
Instead, this is SSA, which cannot prove congruence.
A is incorrect because we cannot say that WX is congruent to YZ from the given information.
B is incorrect because SAS cannot be applied.
C is incorrect because there is indeed another pair (ZX and XZ).
D is correct because there are two pairs of congruent sides and one pair of congruent angles, but the angles are not included (they are not between the sides). Hence, SAS cannot be applied and congruence cannot be proved.
Related Questions
The following graphs have no scales assigned to them. Which of them could
not possibly be density curves for a continuous random variable if they were
provided with the right scale?
Check all that apply.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
E. Graph E
Answers
The graph A , graph C, could not possibly be density curves for a continuous random variable is they were provided with the right scale.
Given four graphs of different nature as options.
We are required to find the graph that is not continuous variable.
Continuous lines are those lines which when decreases, decreases with continuity and when increases,increases with continuity.
When we observe the graph A,graph C. In these graphs the value of function keeps increasing and decreasing a lot and not in continuity.
Hence graph A, graph C could not possibly be density curves for a continuous random variable is they were provided with the right scale.
Learn more about continuity at https://brainly.com/question/24637240
#SPJ1
Answer:
The answer is A, D, and E.
Step-by-step explanation:
Find the roots of the following polynomial: p(x) = x² + 7x - 8 = 0
Answers
Answer:
(x-1)(x+8)=0
x=1
x=-8
Hope this helps
Answer:
hope this helps!! 790095543^&*((
What is the inverse fraction of f(x)=x/x-2
Answers
Answer:
[tex]inverse \ of \ f(x) : \frac{2x}{x-1}[/tex]
Step-by-step explanation:
[tex]y = \frac{x}{x-2}\\\\swap\ x\ and \ y\\\\x = \frac{y}{y-2}\\\\x(y -2) = y\\\\xy - 2x = y\\\\xy - y = 2x\\\\y(x-1)= 2x\\\\y = \frac{2x}{(x-1)}[/tex]
Step-by-step explanation:
Given two one-to-one functions f(x)f(x) and g(x)g(x) if
(f∘g)(x)=xAND(g∘f)(x)=x(f∘g)(x)=xAND(g∘f)(x)=x
then we say that f(x)f(x) and g(x)g(x) are inverses of each other. More specifically we will say that g(x)g(x) is the inverse of f(x)f(x) and
denote it by
g(x)=f−1(x)g(x)=f−1(x)
Likewise, we could also say that f(x)f(x) is the inverse of g(x)g(x) and denote it by
f(x)=g−1(x)
Given the function f(x)f(x) we want to find the inverse function, f−1(x)f−1(x).
First, replace f(x)f(x) with yy. This is done to make the rest of the process easier.
Replace every xx with a yy and replace every yy with an xx.
Solve the equation from Step 2 for yy. This is the step where mistakes are most often made so be careful with this step.
Replace yy with f−1(x)f−1(x). In other words, we’ve managed to find the inverse at this point!
Verify your work by checking that (f∘f−1)(x)=x(f∘f−1)(x)=x and (f−1∘f)(x)=x(f−1∘f)(x)=x are both true. This work can sometimes be messy making it easy to make mistakes so again be careful.
Explanation:
Setting y=f(x)
y=xx−2
this may be rearranged (intermediate steps shown) as follows
y(x−2)=x
x⋅y−2y=x
x⋅y−x=2y
x(y−1)=2y
x=2yy−1
This expression shows x in terms of y.
That is,
f−1(x)=2xx−1
Setting y=f(x)
y=xx−2
this may be rearranged (intermediate steps shown) as follows
y(x−2)=x
x⋅y−2y=x
x⋅y−x=2y
x(y−1)=2y
x=2yy−1
This expression shows x in terms of y.
That is, it is the inverse of function f(x).
That is,
f−1(x)=2xx−1
as required.
Help me plz I’m stuck!!! If a line passes through the points (2,2) and (4,5), the equation of the line is
Answers
Step-by-step explanation:
the answer is in the above image
Which of the following is equivalent to (2x^3)(7x^4)?
Answers
Answer:
A: (2 times 7)x^3 plus 4
Step-by-step explanation:
2 times 7 is 14 so 14 in the parentheses and then add 3 plus 4 equals 7.
14x^7.
Someone please ill mark you the brainliest! No cheating or else i’ll report you.
Answers
Answer:
............................
Find the value of f(-4)?
Answers
Answer:
Step-by-step explanation:
This question is asking you to find the value of y when x = -4. If you locate the x value of -4, y = -10 here. Therefore, f(-4) = -10 and in coordinate form, (-4, -10).
Como se encuentra la mediana?
Answers
Answer:
Para encontrar la mediana: Organice los puntos de datos de menor a mayor. Si el número de puntos de datos es impar, la mediana es el punto de datos intermedio de la lista. Si el número de puntos de datos es par, la mediana es el promedio de los dos puntos de datos intermedios de la lista.
Step-by-step explanation:
que tenga un lindo día
Any help on this please ?
Answers
Answer:
x=35
Step-by-step explanation:
because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.
the equation would be:
180=x+14 +4x -9
add the like terms
180=5x =5
then subtract 5 from both sides
175=5x
then divide five from both sides
x=35
NEED HELP ASAP AS SOON AS POSSIBLE, WILL GIVE 69 POINTS
A city park commission received a donation of playground equipment from a parents' organization. The area of the playground needs to be 256 square yards for the children to use it safely. The playground will be rectangular.
The city will also put a fence around the playground. The perimeter, P, of the fence includes the gates. To save money, the city wants the least perimeter of fencing for the area of 256 square yards.
Jovana was trying to find a formula for that perimeter with one side 8 yards longer than the other side using the area. In which step did she make a mistake?
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Step 6:
Step 7:
Explain her mistake. What is the correct formula?
Answers
Answer:
Explanation
Jovana needs to solve the equation x(x+8) = 256 for x
To do so, first distribute and get everything to one side
x*(x+8) = 256
x*x+x*8 = 256
x^2+8x = 256
x^2+8x-256 = 0
Now use the quadratic formula (a = 1, b = 8, c = -256)
x=−b±b2−4ac/√2a
x=−(8)±82−4(1)(−256)/√2(1)
x=−8±1088/√2
x≈−8±32.98485/2
x≈−8+32.98485/2 or x≈−8−32.98485/2
x≈24.98485/2 or x≈−40.98483/2
x≈12.49242 or x≈−20.49242
Another approach is to graph x^2+8x-256 and locate the roots as shown below
wwwdotdesmosdotcom/calculator/0miqroxamw
which leads to the same approximate solutions
Ignore the negative solution because a negative length or width makes no sense.
So the only practical x value is roughly 12.49242
If x = 12.49242, then
x+8 = 12.49242+8 = 20.49242
Therefore
Width = W = 12.49242
Length = L = 20.49242
which are approximate
The perimeter is approximately
P = 2*(L+W)
P = 2*(20.49242+12.49242)
P = 65.96968
Side Note:
A = L*W = 20.49242*12.49242 = 255.9999174564
which is fairly close to 256
PLEASE HELP!!! If the quadratic equation has the form y = ax 2and y = ax 2+ c, then their axis of symmetry must always be?
Answers
Answer:
axis of symmetry , x = 0
Step-by-step explanation:
For the quadratic equation of the form [tex]ax^2 + bx + c[/tex],
the axis of symmetry is the straight line [tex]x =- \frac{b}{2a}[/tex]
( i) Given equation y = ax² + 0x + 0
b = 0, therefore axis of symmetry is x = 0
( ii ) Second equation y = ax² + 0x + c
b = 0, therefore axis of symmetry is x = 0
I need help with angles in a triangle to find x
I need help with these. please :(
Answers
Answer:
[tex]a. \: \: x = {60}^{o} [/tex]
[tex]b. \: \: x = {24}^{o} [/tex]
Step-by-step explanation:
Hint :Sum of angles = 180°
Simplify :[tex]a. \: \: {x}^{o} + {40}^{o} + {80}^{o} = {180}^{o} [/tex]
[tex] {x}^{o} + {120}^{o} = {180}^{o} [/tex]
[tex] {x}^{o} = {180}^{o} - {120}^{o} [/tex]
[tex] {x}^{o} = {60}^{o} [/tex]
[tex]b. \: 96+(x+12)+2x=180[/tex]
[tex]x+108+2x=180[/tex]
[tex]3x+108=180[/tex]
[tex]3x=180−108[/tex]
[tex]3x=72[/tex]
[tex]x = \frac{72}{3} [/tex][tex]x = 24[/tex]
Hope it is helpful...If a polynomial function f(x) has roots 3+ V5 and -6, what must be a factor of f(x)?
(X+(3-root5)
(X-(3-root5))
(X+(5+root3))
(X-(5-root3))
Answers
Answer:
Step-by-step explanation:
Radicals and imaginary numbers ALWAYS come in pairs when it comes to factors of polynomials. This is the called the conjugate theorem. If we are given a solution/root/zero that is
x = 3 + √5, then its conjugate is x = 3 - √5. Going backwards from the solution to the factor, we utilize the Zero Product Property and get
(x - (3 - √5)) which simplifies to (x - 3 + √5). if you are looking for the conjugate of the given zero, the choice you want is the second one down.
Kelsey walked 1.7 miles to the park. Then she walked another 1.3 miles to a cafe. How far did Kelsey walk in all?
Answers
Answer:
3 miles
Step-by-step explanation:
1.7 carry a one because 3+7 is 10
+ 1.3
--------
3.0
Answer:
3 miles
Step-by-step explanation:
Kelsey first walked to the park which took 1.7 miles. Then she walked an additional 1.3 miles to get to the cafe.
If we are only counting the amount of miles that she walked without going back home then we can do this simply by doing
1.7+1.3
0.7+0.3 = 1.0 so we carry the one and in total we get 1.0+1.0+1.0 to get 3.0 miles or in other words 3 miles!
A bag has 3 red marbles and 12 blue marbles. Half of the blue marbles are made of plastic. A marble is selected at random from the bag. What is the probability that it is a blue, plastic marble?
Answers
Answer: 2/5
Step-by-step explanation:
There are 15 total marbles in the bag. 12 are blue, with only 6 made from plastic. 6/15 reduced is 2/5
Which word describes the slope of the line?
O Positive
O Negative
O Zero
O Undefined
Answers
Answer:
Option (1)
Step-by-step explanation:
Slope of a line is defined by the rule,
Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
Here, Rise and Run of the line are positive.
Therefore, sign of the slope of the line will be positive.
Option (1) will be the correct option.
Answer my question please!! i will give brainlest!
Answers
Answer:
hello u so cool i admire you <3
The test has 8 questions that are worth 5 points and 30 questions that are worth 2 points.
can someone tell me how to do this? with steps?
Answers
Answer:
Step-by-step explanation:
In Δ AFB,
∠AFB + ∠ABF + ∠A = 180 {Angle sum property of triangle}
90 + 48 + ∠1 = 180
138 + ∠1 = 180
∠1 = 180 - 138
∠1 = 42°
FC // ED and FD is transversal
So, ∠CFD ≅∠EDF {Alternate interior angles are congruent}
∠2 = 39°
In ΔFCD,
∠2 + ∠3 + ∠FCD = 180
39 + ∠3 + 90 = 180
129 +∠3 = 180
∠3 = 180- 129
∠3 = 51°
A boy spends 3/8 of his journey in playing games on his mobile.Then 4/5 of the remaining time talking to his sister.If he has 5 min to complete his journey,what is the total time of the journey
Answers
Answer:
40 mins
Step-by-step explanation:
time spent talking to his sister = (1 - 3/8) x 4/5 =
5/8 x 4/5 = 1/2
total fraction of time spent playing games and talking to his sister :
[tex]\frac{3}{8} + \frac{1}{2}[/tex]
[tex]\frac{ 3 + 4}{8}[/tex] = [tex]\frac{7}{8}[/tex]
fraction of time remaining to complete the journey = 1 - 7/8 = 1/8
let t = total journey time
1/8 x t = 5
multiply both sides of the equation by 8
t = 5 x 8 = 40 minutes
The mean sustained wind velocity, v, can be determined by the equation v = 6.3 StartRoot 1013 minus p EndRoot, where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second? 103 millibars 194 millibars 363 millibars 910 millibars
Answers
Answer:
910 millibars
Step-by-step explanation:
According to the Question,
Given That, The mean sustained wind velocity equation [tex]v=6.3*\sqrt{1013-p}[/tex] And The mean sustained wind velocity is 64m/s (v=64) . where, p is the air pressure(in millibars).Now, the air pressure at the center of a hurricane when the mean sustained wind velocity is 64 m/s is
[tex]64=6.3*\sqrt{1013-p}\\\frac{64}{6.3} = \sqrt{1013-p}\\[/tex]
on squaring both sides we get,
(10.1587)² = 1012 - p ⇒ p = 908.80≈910millibar
p = 910millibars air pressure .
Answer: 910
Step-by-step explanation: Did the review and got it right
What is the height of the pyramid ???
Answers:
A: 7cm
B: 5cm
C: 14 cm
D: 10 cm
Answers
Given:
[tex]m\angle ACD=45^\circ[/tex]
Point B is the center of the base.
Each side of the base = 10 cm
To find:
The height of the pyramid.
Solution:
It is given that the measure of each side of the base is 10 cm. It means the base is square. The length of the diagonal of a square is:
[tex]d=a\sqrt{2}[/tex]
Where, a is the side length of the square.
Putting [tex]a=10[/tex] in the above formula, we get
[tex]d=10\sqrt{2}[/tex]
It is given that point B is the center of the base. It means point B bisect each diagonal of a base. So,
[tex]BC=\dfrac{d}{2}[/tex]
[tex]BC=\dfrac{10\sqrt{2}}{2}[/tex]
[tex]BC=5\sqrt{2}[/tex]
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In triangle ABC,
[tex]\tan (45^\circ)=\dfrac{AB}{BC}[/tex]
[tex]1=\dfrac{h}{5\sqrt{2}}[/tex]
[tex]5\sqrt{2}=h[/tex]
[tex]7.0710678=h[/tex]
Round the value to the nearest integer.
[tex]h\approx 7[/tex]
The height of the pyramid is about 7 cm. Therefore, the correct option is A.
more help im dum lol
Answers
Answer:
32780
Step-by-step explanation:
Answer:
32,780
Step-by-step explanation:
It should be 30,000
Pls help me solve pls show how you got the answer
Answers
Answer:
48 length units
Step-by-step explanation:
area of each squre = 9
side length of each square = sqrt(9) = 3
Length of each side of grid = 4*3 = 12
Perimeter of grid = 4 sides = 4*12 = 48 length units
48length units
hope this helps
select the right answer
Answers
Answer:
Blurry po
Step-by-step explanation:
Pwede kunan nyu ulit
make x the subject of n = jx + h
I'M SORRY GUYS I RLLY HATE MATHS
Answers
Answer:
x = (n-h)/j
Step-by-step explanation:
n = jx + h
Subtract h from each side
n-h = jx+h-h
n-h = jx
Divide by j
(n-h)/j = jx/j
(n-h)/j = x
Answer:
x = [tex]\frac{n-h}{j}[/tex]
Step-by-step explanation:
Given
n = jx + h ( subtract h from both sides )
n - h = jx ( isolate x by dividing both sides by j )
[tex]\frac{n-h}{j}[/tex] = x
A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line?
Answers
Answer:
(5,4) & (8,-10)
Step-by-step explanation:
First step:
[tex]y=mx+b[/tex]
You can use any number you want for b (I used 4)
[tex]y=-\frac{4}{5} x+4[/tex]
Make x=0
[tex]y=-\frac{4}{5} (0)+4[/tex]
[tex]y=4[/tex]
Make y=0
[tex]0=-\frac{4}{5} x+4[/tex]
Subtract 4 from both sides
[tex]-4=-\frac{4}{5} x[/tex]
Divide both sides by [tex]-\frac{4}{5}[/tex]
[tex]x=5[/tex]
Second step:
In order to make a line perpendicular to another the slope of the second line will be the negative inverse of the first line. So [tex]m=-\frac{4}{5}[/tex] will be [tex]m=\frac{5}{4}[/tex] for the second line.
Then you just need to repeat the process in first step to get the intercepts. (Again I used a random number like -10 for b)
can someone please help me with this i dont have much time left
Answers
Answer:
Step-by-step explanation:
sin A = opposite/hypotenuse
=5/13
cos A =adjacent/hypotenuse
=12/13
tan A =opposite/adjacent
=5/12
cosec A = hypotenuse/opposite
=13/5
sec A = hypotenuse/adjacent
=12/5
cot A = adjacent/opposite
=12/5
Which is the most convenient placement of an isosceles triangle in the coordinate plane for finding the side lengths?
Answers
Answer:
The bottom left
Step-by-step explanation:
If the weight of 12 sheets of thick paper is 40 grams, how many sheets of the same paper would weigh 2500 grams
Answers
Answer:
750 is the answer..
Step-by-step explanation:
(12/40)*2500
can i get the answer for this question would be verrryy much appreciated:)
Answers
Answer
The answer is EH= 50
