Need help please
What additional information would be necessary to prove that the two triangles, XBY and ZAY, are
congruent?
Answers
Answer: Congruent triangles have congruent corresponding sides.
(Note): This is not the correct answer..This is an Example. :)
Step-by-step explanation: part a) draw two triangles, translating one of them to the right.
part b) Consider triangles ΔYXB and ΔYZA. In these triangles:
∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);
∠YXB≅∠YZA (given);
XY≅ZY (given).
Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.
ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.
Hope This Was helpful..
Answer:
You could use the ASA theorem to prove that the congruent angles and side are congruent. Or you could use CPCTC which is Corresponding parts of congruent triangles are congruent. By using these two theorems you could prove that these triangles are congruent and not similar.
Step-by-step explanation:
Related Questions
1. What are the different offensive and defensive strategies that are used in water polo?
2. Which strategies do you think are the most difficult to accomplish? Why?
3. Which strategies do you think are the easiest to achieve? Why?
Answers
Answer:
A defensive way is use all your might to jump when the ball is coming at you, because as you might know is it takes a lot of effert to jump in a pool, the gravity is very strong in the pool! Or if you get the ball you can throw and swing your arm as strong as you can a HIT that ball! You wanna hit it hard so the players on the other side of the pool don’t get the ball,instead it will go over them and you WIN!
Step-by-step explanation:
Hope this helped :)✨
I need to know ASAP! Thanks ^^
Answers
Answer:
PQ=30
Step-by-step explanation:
Knowing that the segment has 3 parts that are 3:1:1 and sum up to 50, you could find how much 1 would equal by finding the total in relation to the ratio (doing 3+1+1) which gets you 5 parts. Then you can divide the total (50) by 5 to figure out how much one part would equal (10). Now, since you know that 1 part is equal to 10 and that PQ is 3 parts, you can find that PQ is equal to 3x10, or 30.
PLEASE HELP ILL GIVE BRAINLEST
Circle the like terms:
⅓ x 4x2 8xy -x -5x
Answers
Answer:
8xy im pretty sure
Step-by-step explanation:
please help ASAP!
i will give brainliest!! :)
Answers
Answer:
its c i took the test trust me
Step-by-step explanation:
Tony is making a circular, glass tabletop with a radius of 22 inches. Approximately how much glass does he need to make the tabletop?
A.
138.16 square inches
B.
379.94 square inches
C.
1,519.76 square inches
D.
6,079.04 square inches
Answers
the area of a circle with a radius of 22 is 1,520.5344 which leads you to answer C
Can someone please help me with this proof?!
Given: AC and BD bis, each other.
Prove: ABCD is a parallelogram
Answers
Answer:
because AC and BD bis => AX = XC; BX = XD
ΔAXD ≅ ΔCXB (SAS) because: AX = CX
DX = BX
m∠AXD = m∠BXC ( 2 opposing angles)
because ΔAXD ≅ ΔCXB (SAS)
=> AD = BC and m∠DAX = m∠BCX
because m∠DAX = m∠BCX => AD//BC
ABCD has AD = BC and AD//BC => ABCD is a parallelogram
Step-by-step explanation:
Which of the following sets of numbers could represent the three sides of a triangle?
Answers
Answer:
{5, 15, 19}
Step-by-step explanation:
According to the triangle inequality theorem, the sum of the lengths of any two sides of a ∆ must be greater than the length of the third side.
Thus, any of the given sets of numbers will represent the 3 sides of a ∆, if the following condition is satisfied:
a + b > c
b + c > a
a + c > b
Where a and b are the smaller side lengths, and c is the length of the longest side.
Let's check each set of numbers given to see if any satisfies this condition.
✍️Option 1: {6, 20, 28}
6 + 20 is not greater than 28
20 + 28 > 6
6 + 28 > 20
❌This set of numbers does not represent the sides of a ∆.
✍️Option 2: {4, 11, 15}
4 + 11 = 15
11 + 15 > 4
4 + 15 > 11
❌This set of numbers does not represent the sides of a ∆.
Option 3: {9, 19, 30}
9 + 19 is not greater than 30
19 + 30 > 9
9 + 30 > 19
❌This set of numbers does not represent the sides of a ∆
Option 4: {5, 15, 19}
5 + 15 > 19
15 + 19 > 5
5 + 19 > 15
✅This set of numbers does not represent the sides of a ∆
Only option 4, satisfied the condition stated earlier, therefore, based on the triangle inequality theorem, {5, 15, 19}, is the set of numbers that represents the 3 sides of a triangle.
A curve is such that (dy)/(dx) = 12/(2x + 1) ^ 2 and P(1, 5) is a point on the curve . (i) The normal to the curve at P crosses the x-axis at Q. Find the coordinates of Q (ii) Find the equation of the curve. (iii) A point is moving along the curve in such a way that the x-coordinate is increasing at a constant rate of 0.3 units per second. Find the rate of increase of the y-coordinate when x=1
Answers
(i) The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].
(ii) The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].
(iii) The rate of increase of the y-coordinate is 1.2 units per second.
(i) By analytical geometry, we know that the slope of a line normal of a curve ([tex]m_{\perp}[/tex]) by the following expression:
[tex]m_{\perp} = - \frac{1}{\frac{dy}{dx} }[/tex] (1)
Where [tex]\frac{dy}{dx}[/tex] is the slope of the line tangent to the curve.
If we know that [tex]x = 1[/tex], then the slope of the normal to the curve is:
[tex]\frac{dy}{dx} = \frac{12}{2\cdot (1)+1}[/tex]
[tex]\frac{dy}{dx} = 4[/tex]
And the slope of a line normal of a curve is:
[tex]m_{\perp} = -\frac{1}{4}[/tex]
By definition of secant curve we calculate the remaining coordinate of the point Q:
[tex]m_{\perp} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (2)
Where:
[tex]x_{P}[/tex], [tex]x_{Q}[/tex] - x-coordinates of points P and Q. [tex]y_{P}, y_{Q}[/tex] - y-coordinates of points P and Q.If we know that [tex](x_{P}, y_{P}) = (1, 5)[/tex], [tex](x_{Q}, y_{Q}) = (x, 0)[/tex] and [tex]m_{\perp} = -\frac{1}{4}[/tex], then the remaining coordinate of point Q is:
[tex]-\frac{1}{4} = \frac{0-5}{x-1}[/tex]
[tex]-\frac{1}{4}\cdot (x-1) = -5[/tex]
[tex]-\frac{1}{4}\cdot x +\frac{1}{4} = -5[/tex]
[tex]\frac{1}{4}\cdot x = \frac{21}{4}[/tex]
[tex]x = 21[/tex]
The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].
(ii) The equation of the curve is derived by separating the variables and integrating the resulting expression:
[tex]dy = \frac{12}{2\cdot x + 1}\,dx[/tex]
[tex]\int\, dy = 6\int {\frac{2\,dx}{2\cdot x + 1} }[/tex]
[tex]\int \, dy = 6\int {\frac{du}{u} }[/tex]
[tex]y = 6\cdot \ln u[/tex]
[tex]y = 6\cdot \ln (2\cdot x + 1)+C[/tex]
And the integration constant is found for [tex](x,y) = (1, 5)[/tex]:
[tex]5 = 6\cdot \ln(2\cdot 1 + 1) + C[/tex]
[tex]C = -1.592[/tex]
The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].
(iii) The rate of increase of the y-coordinate by using the differential equation presented in statement and the definition of rate of change:
[tex]\frac{dy}{dt} = \left(\frac{12}{2\cdot x +1}\right)\cdot \frac{dx}{dt}[/tex] (3)
If we know that [tex]\frac{dx}{dt} = 0.3[/tex] and [tex]x = 1[/tex], then the rate of increase of the y-coordinate is:
[tex]\frac{dy}{dt} = \left[\frac{12}{2\cdot (1)+1} \right]\cdot (0.3)[/tex]
[tex]\frac{dy}{dt} = 1.2[/tex]
The rate of increase of the y-coordinate is 1.2 units per second.
To learn more on differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911
i). The coordinates of Q is equal to:
[tex](x,y) = (21, 0)[/tex]
ii). The equation of the curve is:
[tex]y = 6. In(2.x + 1) - 1.592[/tex]
iii). The rate of increase for y-coordinate when x = 1:
[tex]1.2 units[/tex] per second
i). Using analytical geometry,
[tex]xp[/tex] and [tex]xq[/tex] are the P and Q's x-coordinates.
[tex]yp[/tex] and [tex]yq[/tex] are the P and Q's y-coordinates.
Since ([tex]xp[/tex], [tex]yp[/tex]) = (1,5) and ( [tex]xq[/tex], [tex]yq[/tex]) = [tex](x, 0)[/tex] and m⊥ = - 1/4, the left coordinate of Q's point:-
-1/4 = (0-5)/(x - 1)
∵[tex]x = 21[/tex]
Thus, the coordinates of y = (21, 0)
ii). Through isolating the variables and employing integration:-
[tex]dy = \frac{12}{(2.x + 1)} dx[/tex]
by integration and integration constant (1,5), the equation is:
[tex]y = 6. In(2.x + 1) - 1.592[/tex]
iii). The rate of increase for y-coordinate:
[tex]dy/dt[/tex] = [tex]\frac{(12)}{(2.1 + 1)} .0.3[/tex]
∵ [tex]dy/dt[/tex] [tex]= 1.2[/tex]
Thus, the rate of increase for y-coordinate when x = 1 is 1.2 units per second.
Learn more about "Co-ordinates" here:
brainly.com/question/21902081
find the slope of the graph given below
Answers
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
pleaseeee hurryyy i needd helppp
How many solutions are there for this equation? Why?
2(m+2)=12−6m
Select the option that correctly answers both questions.
a. There is one solution, because the coefficients of the variables on both sides of the equation are the same.
b. There are no solutions, because the coefficients of the variables on both sides of the equation are different.
c .There is one solution, because the coefficients of the variables on both sides of the equation are different.
d. There are no solutions, because the coefficients of the variables on both sides of the equation are the same.
Answers
Answer:
C. There is one solution, because the coefficients of the variables on both sides of the equation are different.
Step-by-step explanation:
The solution is m = 1
~theLocoCoco
Water begins to slowly leak from David’s water bottle right after he fills it. After 5 minutes, he notices the bottle has 26 ounces of water remaining. After 30 minutes, he notices the bottle has 16 ounces of water remaining. Let x represent the number of minutes that have passed and let y represent the amount of water remaining in the bottle.
a) Without calculating, will the rate of change (slope) for the water bottle be positive or negative? Explain how you know.
b) What is the rate of change (slope) of this situation (in ounces per minute)?
c) Write an equation to model this situation:
d) How much water was in David’s bottle immediately after he filled it?
e) After how many minutes will David’s bottle be completely empty?
Answers
Use the graph to find the cost of 8 hats.
Cost of Hats
110
100
90
80
($) 1803
10
8 7 8 10 11
Number of hats
O A. The cost of 8 hats is $7.50.
ООО
B. The cost of 8 hats is $75.00
O C. The cost of 8 hats is $8.00.
PREVIOUS
Answers
Answer:
are you missing a option because for me one option that has the same exact numbers that you mentioned is the cost of 8 hats is 60
Step-by-step explanation:
2) 5x 3 x 2
what is the order of operations
Answers
Answer:
PEMDAS
Step-by-step explanation:
parentheses
exponents
multiplication
division
subtraction
5x3x2=30
Parentheses, exponents, multiplication, division, addition, subtraction
5x3 is first equaling 15
15x2 is next equaling 30
The answer is 30
Find the number of terms in this polynomial.
-8f^2
Answers
Answer:
3 terms
Step-by-step explanation:
The perimeter of the rectangle below is 94 units. Find the length of side WX.
Write your answer without variables.
Answers
Answer:
24units
Step-by-step explanation:
2(4y + 3) + 2(5y - 1) = 94
18y + 4 = 94
y = 5
WX = 5y - 1 = 5(5) - 1 = 24units
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First we need to find the value of y .
[tex]Perimeter = 2 \times ( \: (4y + 3) + (5y - 1) \: ) \\ [/tex]
[tex]Perimeter = 2 \times (9y + 2)[/tex]
[tex]Perimeter = 18y + 4[/tex]
Question told us that perimeter is 94 ,
Thus :
[tex]94 = 18y + 4[/tex]
[tex]18y + 4 = 94[/tex]
Subtract sides 4
[tex]18y + 4 - 4 = 94 - 4[/tex]
[tex]18y = 90[/tex]
Divide sides by 18
[tex] \frac{18y}{18} = \frac{90}{18} \\ [/tex]
[tex]y = 5[/tex]
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The face sides in the rectangular are same.
Thus :
[tex]VY = WX[/tex]
So ;
[tex] WX = 5y - 1[/tex]
[tex]WX = 5(5) - 1[/tex]
[tex]WX = 25 - 1[/tex]
[tex]WX = 24[/tex]
Done...
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How do I get from $500 to $214.28 ?
Answers
Answer:
you subtract 285.72 from 500
Step-by-step explanation:
Please help meeeeeee
I need the answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
4x + 6x + y = 180
6x + y = x + 5y
10x + y = 180 ........... (1)
5x - 4y = 0 .............. (2)
(1) - 2 × (2)
y + 8y = 180 ⇒ y = 20
6x + 20 = x + 100 ⇔ 5x = 80 ⇒ x = 16
64° , 116°
Brenna saved 36% on a $15 pair of sunglasses. Choose the correct expression to find 36% of $15.
A 36 x 15
B 36 x 0.15
C 3.6 x 15
D 0.36 x 15
Answers
Answer:
D
Step-by-step explanation:
HoPe THiS hElpSStarting at 1:00 pm, the temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours x it will take to reach -1 F.
PLEASE HELP ASAP!!!
Answers
Answer:
im guessing it will take 3 hours to get to -1 F
Step-by-step explanation:
⚠️PLEASE HELP FAST⚠️ Camie and Jorge each begin saving money
for a new computer. Camie saves $5 per
week plus $50 she receives for her birthday.
Jorge saves $7 per week. Which of the
following can be used to find w, the number
of weeks until Jorge has saved at least the
same amount as Camie?
A.7w = 5W + 50
B.50 + 5w < 7w
C.5W + 50 >_7w
D.7W >_5W + 50
Answers
Answer:
The answer is A
Step-by-step explanation:
Camie: $5x + $50 = $55 ( for now/i think)
Jorge: $7x
The equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
The correct option is (A)
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. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.
Given:
Camie saves $5 per week plus $50 she receives for her birthday.
Jorge saves $7 per week.
Now, Jorge have to achieve the same amount as Camie.
let w be the number of weeks.
Then equation can be represented as
7w = 5W + 50
Here 7w is amount by Jorge and 5W + 50 is amount of Camie.
Hence, the equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
Learn more about equation here:
https://brainly.com/question/10413253
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You bought a magazine for $2 and some erasers for $5 each. You spent a total of $12. How many erasers did you buy?
Answers
Add 5 more (1 more magazine) and the total amount equals 12
So.. bought 2 erasers
PLEASE HELP NEED ASAP
Answers
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Tyson bought four roses for $8.88. If the cost per rose is constant, how much would 6 roses cost?
Answers
Answer:
6 roses = $13.32
Step-by-step explanation:
4 roses = $8.88
(divide by 4)
1 rose = $2.22
(multiply by 6)
6 roses = $13.32
Help mee pleaseeeeee!!!!
Answers
Answer:
c bye have a good day
Step-by-step explanation:
Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles
B. 240 miles
C. 300 miles
D. 360 miles
Answers
Solve each equation for x. 1.3x + 9x = 6x + 42
Answers
Answer:
Just use a calcultor...
Step-by-step explanation:
Which statement is true of the mapping?
PLEASE HELP MEE
Answers
Answer:
C
Step-by-step explanation:
pls complete it (picture)
Answers
Answer:
The answer to your question is 24cm.
Step-by-step explanation:
6 multiplyed by 8 equals 48, and 48 divided by 2 equals 24.
Hope I helped. Have a spectacular day! ;)
Which expressions simplify to a rational answer?
Select each correct answer.
Answers
Answer: the answers are the second one and the last one
Step-by-step explanation:
Parallel or perpendicular 3x+5y=10 and 5x-3y=-6