Given: ABCD is a rectangle.
Prove: ΔABC is congruent to ΔCDA ABDC is a rectangle.
ABCD is a parallelogram. AB is congruent to DC and BC is congruent to DA AC is congruent to AC ΔABC is congruent to ΔCDA Given Definition of a rectangle. Opposite sides of a parallelogram are congruent. _____________________ _____________________
A. Symmetric Property of congruent; SAS
B. Reflexive Property of congruent to; SAS
C. Symmetric Property of congruent; SSS
D. Reflexive Property of congruent; SSS
Answers
Answer:
D
3. Reflexive Property of (Congruence) ≅
4. SSS (Side to Side to Side Congruence rule)
Step-by-step explanation:
this is D reflexive property of SSS
3. Any geometric figure compared to itself is congruent to itself so this is why:
4. Since we have a parallelogram, therefore we can say:
Both triangles ABC and CDA satisfy the side to side to side congruence, since their 3 sides are congruent.
So, It's D.
P.S.
Notice that the angle measure information is not included in the data above that's why we cannot say it is SAS congruence.
Related Questions
He wins 5 games out of every 13 games. If he plays 78 games, how many would we expect him to win?
Answers
- - - - - - - - - - - - - - - - - - - - - - - - - - -
If 'he' wins 5 out of 13 games, that's an immediate ratio of 5:13.
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Let's call him Max :)
Okay, now for the math.
I'm going to try a number line- but first, we have to know how many times 13 goes into 78.
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78 / 13 = 6
So now we multiply the ratio (5:13) by six...
30:78
That's the answer!
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Good luck!
~pinetree
I need Help Plssss!!!♥
Answers
Step-by-step explanation:
such a rectangular prism is in that sense like a cube (or die) : it has 6 sides or surface areas. top, down, front, back, left, right.
to get the total surface area we need to calculate each individual side area and sum all 6 of them up.
since it is a rectangular shape, there are 3 pairs of equal side areas, so, we really need to calculate only 3 different ones :
front and back : each is
10×9 = 90 in², both together are 180 in²
left and right : each is
8×9 = 72 in², both together are 144 in²
top and bottom : each is
10×8 = 80 in², both together are 160 in²
the total surface area of the prism is
180 + 144 + 160 = 484 in²
You need to download 3 games for your math class. Each game is the same price. Since this is your first time downloading a game from the site, you are also charged a one-time $0.50 access fee. You are charged a total of $4.35. What is the cost of each game? Show your work and round your answer to the nearest cent.
pls show your work
Answers
Answer:
each game cost 1.28
Step-by-step explanation:
4.35- 0.50
3.85
3.85/3 = 1.283 rounded to 1.28
A square has a perimeter of 16 units and an area of 16 square units. What is the side length of the square? Show your work.
Answers
Answer:
4 units
Step-by-step explanation:
according to question:
perimeter of square = 16 units
4a = 16
where a is the side length
a = 16/4
= 4 units
Step-by-step explanation:
that r = P/(2π) so A = π(P/(2π))2 = P2/(4π). Any positive area less than this is also possible. So in this problem the largest area possible is (16 in.)2/(4π) = 64/π sq.
Say which inference procedure you would use.
You have data from interviews with
a random sample of students who failed to graduate
from a particular college in 7 years and also from a
random sample of students who entered at the same
time and did graduate. You will use these data to
compare the percents of students from rural backgrounds among dropouts and graduates.
Answers
The inference procedure that should be used is a hypothesis testing.
What is hypothesis testing?It should be noted that hypothesis testing simply means a statistical test when an individual tests and assumption regarding a population parameter.
In this case, since the data will be used to compare the percents of students from rural backgrounds among dropouts and graduates, the hypothesis testing is appropriate. This is important to assess the plausibility of the hypothesis.
Learn more about hypothesis testing on:
https://brainly.com/question/15980493
Subtract - 7x – 9 from -4.2 + 3x – 5
Answers
Answer:
−4x^2 + 10x+ 4
Step-by-step explanation:
that is the simplifyed version of the expression
Answer: The answer is −4x−9.8
Step-by-step explanation:
−7x−9−−4.2+3x−5
The opposite of −4.2 is 4.2.
−7x−9+4.2+3x−5
Add −9 and 4.2 to get −4.8.
−7x−4.8+3x−5
Combine −7x and 3x to get −4x.
−4x−4.8−5
Subtract 5 from −4.8 to get −9.8.
−4x−9.8
Ps: I hope this is correct, hope it helps also have a great day.
Which value is a solution of the equation 185 = w -120
Answers
Answer:
w= 305
Step-by-step explanation:
Add 120 to both sides to isolate w.
120+185=305
Let me know if this helped <3
HELPPPP!!!!!!!!! SIMPLIFY THE EXPRESSION!!!!!!!!!!!
(9ab^-5)^-2
Answers
Step-by-step explanation:
Write and solve a proportion to answer the question.
48 is what percent of 160?
show steps to get brainliest
Answers
Answer:
76.8% or 77%
Step-by-step explanation:
first you would want to multiply 48*160=7680 then you would want to divide by 100 to get it down to a reasonable number, or another way to do it would be to divide 48first by 10 to get it to a decimal and out of the precents, then multiply that by 160 which would give the same answer.
Pls help me identify the angle
Answers
Answer:
x=45°
Step-by-step explanation:
By linear pair property
[tex]x+135=180[/tex]
[tex]x=180-135[/tex]
[tex]x=45^o[/tex]
~
dont understand this pls help
True or false?
The point (-9, 7) is a reflection of (9, 7) over the y-axis
(will give brainleist)
Answers
Answer:
true, because in a point it is (x,y) which the x moves left and right and the y moves up and down and the y axis goes straight up and down in the middle of the graph so the x would reflect from -9 to 9 because it is going across the y axis going up and down.
Step-by-step explanation:
take advantage of free food, in this case free answers.
2x + 3y = 15
x + y = 6
what is x and what is y
Answers
Answer:
[tex]{x,y}={3,3}[/tex]
Step-by-step explanation:
System of Linear Equations entered :
[tex][1] 2x + 3y = 15\\ [2] x + y = 6[/tex]
Graphic Representation of the Equations :
3y + 2x = 15 y + x = 6
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = -x + 6
// Plug this in for variable y in equation [1]
[1] 2x + 3•(-x +6) = 15
[1] -x = -3
// Solve equation [1] for the variable x
[1] x = 3
// By now we know this much :
x = 3
y = -x+6
// Use the x value to solve for y
y = -(3)+6 = 3
Solution :
{x,y} = {3,3}
Answer:
[tex](3,3)[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}2x+3y=15\\ x+y=6\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{15-3y}{2}[/tex]
[tex]\begin{bmatrix}\frac{15-3y}{2}+y=6\end{bmatrix}[/tex]
[tex]\begin{bmatrix}\frac{15-y}{2}=6\end{bmatrix}[/tex]
[tex]y=3[/tex]
[tex]\mathrm{For\:}x=\frac{15-3y}{2}[/tex]
[tex]\mathrm{Substitute\:}y=3[/tex]
[tex]x=\frac{15-3\cdot \:3}{2}[/tex]
[tex]15-9=6[/tex]
[tex]\frac{6}{2}=3[/tex]
[tex]x=3[/tex]
△HKO∼△FGO Two right triangles. The first triangle is labeled triangle HKO. Angle H is the right angle. Side KO which is the hypotenuse has a length of 10 units. The other right triangle is labeled triangle FGO. In this triangle, angle F is the right angle and side GO is the hypotenuse with a length of 15 units. The triangles meet at angle O forming a vertical angle. Angles H and F are both right angles. Points H comma O comma and G are on the same line. Points F comma O comma and K are on the same line.
What is the ratio of the area of △HKO to the area of △FGO ? Express your answer as a fraction. Enter your answer in the box.
Answers
Which radian measure is equivalent to −15°?
−9π/20
−20π/9
−12π
−π/12
Answers
Answer:
-π/12
Step-by-step explanation:
1) -15 * π/180 =
2) = -π/12
Answer:
D
explanation:
I took the quiz
QUICK whoever gives correct answer will get brainliest please and thank you.
Answers
Answer:
B
Step-by-step explanation:
that is the definition of a function : every valid value of x gets exactly one value of y assigned as function result value.
that allows gaps. not every value on the x-axis has to be a valid x value for the function. and neither do we need every possible y value to be a valid function result value.
so, if we consider x to be the set of {2, 4, 6, 9}, then this is indeed a function.
2 gets 3, 4 gets 9, 6 gets 10, and 9 gets 5 assigned as y (function result) value.
all good and perfect - exactly one assigned value for every valid x value.
a) 4/15 + 2/5
its urgent pls
Answers
Answer:
10/15, or 2/3
Step-by-step explanation:
To get common denominator multiply 2/5 by three: 6/15
4/15 + 6/15 = 10/15
divide by 5: 2/3
Hey there!
4/15 + 2/5
≈ 4/15 + 6/15
≈ 4 + 6 / 15 - 0
≈ 10 / 15
≈ 10 ÷ 5 / 15 ÷ 5
≈ 2/3
Therefore, your answer is: 2/3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
find the angle in the attachment
Answers
what is A sq divied by B sq
Answers
Answer: (a + b)2 = a2 + b2 + 2(a - b)2 = a2 + b2 - 2ab a2 - b2 = (a + b) (a - b) (x + a) (x + b) = x2 + x (a + b) + ab (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(a + b)3 = a3 + b3 + 3ab(a + b) (a - b)3 = a3 - b3 - 3ab(a - b) a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)
Step-by-step explanation:
sue gets 4 texts every 10 minutes. how many texts does she get in a week.
Answers
Answer:
4032
Step-by-step explanation:
1 day is 1440 min
1440 divided by 10 = 144
144 times 4 = 576
576 times 7 (because there are 7 days in a week) = 4032
*I may be wrong if so im sorry*
Express the equation 8x + 3y - 24 = 0 in slope intercept form ?
Answers
Step by Step Explanation:
8x +3y -24 =0
y= -8/3 x+8
y= -8/3 x+8 , m= -8/3
y= -8/3 x+8 , m=-8/3, b=8
y=-8/3 x+8
A car travels 14km in 25mins . Find out how far the car can travel in 5 hours if the speed remains the same ?
Answers
Answer:
168 km
Step-by-step explanation:
1 hour = 60 minutes
⇒ 5 hours = 5 × 60 = 300 minutes
We have been told the distance that the car traveled in 25 minutes.
Therefore, divide 300 minutes by 25 minutes:
[tex]\implies \sf \dfrac{300}{25}=12[/tex]
So there are 12 'lots' of 25 minutes in 5 hours.
Therefore, to find out how far the car travels in 5 hours, multiply the distance traveled in 14 km by 12:
⇒ total distance = 12 × 14 = 168 km
25min=25/60=5/12h
Speed:-
Distance/time14÷5/1214×12/533.6km/hTotal distance in 5h
5(33.6)168kmwhich equation in standard form has a graph that passes through the point (-4, 2) and has a slope of 9/2
9x - 2y = -10 is the answer but why?
Answers
Answer:
-40
Explanation:
Hope it helps
Part A
The first part of Ray and Kelsey's roller coaster is a curved pattern that can be represented by a polynomial function.
Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.
Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = x3 − x2 − 4x + 4
g(x) = x3 + 2x2 − 9x − 18
g(x) = x3 − 3x2 − 4x + 12
g(x) = x3 + 2x2 − 25x − 50
g(x) = 2x3 + 14x2 − 2x − 14
Create a graph of the polynomial function you selected from Question 2.
Part B
The second part of the new coaster is a parabola.
Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.
The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan.
Create a graph of the polynomial function you created in Question 4.
Part C
Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey's coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.
Part D
Create an ad campaign to promote Ray and Kelsey's roller coaster. It can be a 15-second advertisement for television or radio, an interview for a magazine or news report, or a song, poem, or slideshow presentation for a company. These are just examples; you are not limited to how you prepare your advertisement, so be creative. Make sure to include a script of what each of you will say if you are preparing an interview or a report. The purpose of this ad is to get everyone excited about the roller coaster.
Answers
Answer:
Tell a Small question i cant read it tho
Step-by-step explanation:
Answer:
i am doing the same thing lol basically the farthest i got was
Step-by-step explanation:
1. They both cannot be correct because a three-degree polynomial can only have 3 maxium terms.
2. i chose g(x) = (x + 2)(x − 1)(x − 2)
3. the graph is the first one shown
The picture above represents a small section from the periodic table. Which of the elements has chemical properties most similar to element X?
A.
Element 1
B.
Element 2
C.
Element 3
D.
Element 4
Answers
The element that has chemical properties most similar to element X is element 1.
What are the relations in the periodic table?Elements on the periodic table are ordered accordingly to the number of protons in each element.
The first one is hydrogen, with 1 proton, the second is helium, with two protons, and so on.
So, element 3 has one proton less than x, and element 4 has one proton more than x.
Then we have two more relations:
Horizontal lines are called periods, so 3, x, and 4 are on the same period (it is related to the energy level of the valence's electrons).
Vertical lines are called families because elements in vertical lines have similar chemical behavior.
This is the one that we care for this problem, we want to see which element has chemical properties most similar to element X, so we need to see which element is on the same family as element X.
As you can see, the only element on the same vertical line as X is element 1, so the correct option will be A.
If you want to learn more about the periodic table, you can read:
https://brainly.com/question/14514242
Can you help answer this question.
Answers
Answer: Top right
Step-by-step explanation:
This is substituting into point-slope form.
i really need help
[tex]3\pi +\frac{2\pi }{3}[/tex] ?
Answers
Answer:
Image attached below with answer in decimal form and fraction form
π + 3.14 × π + 3.14 ÷ 3.14 answers it if you want to also it pie
Answers
Answer:
14.006
Step-by-step explanation:
π + 3.14 × π + 3.14 ÷ 3.14
14.00619358
Rounded -
14.006
Let's see
We know π approximately. 3.14[tex]\\ \rm\rightarrowtail \dfrac{\pi\pi(3.14)(3.14)}{3.14}[/tex]
[tex]\\ \rm\rightarrowtail \pi\pi(3.14)[/tex]
[tex]\\ \rm\rightarrowtail \pi^2(\pi)[/tex]
[tex]\\ \rm\rightarrowtail \pi^3[/tex]
if trapezium of area 140 cm horsepower sides 10 cm apart and one of them decides is 16 cm longfind the area find the length of the sother side
Answers
Given :
Area of the trapezium is 140 cm².Its height is 10 cm.One of the parallel side is 16 cm.To Find :
The other parallel side.Solution :
Let the other parallel side be xWe know that,
[tex]{ \qquad \: \pmb{ \dfrac{1}{2} \times (sum \: of \: the \: parallel \: sides) \times height} = \pmb{Area_{(trapezium)}}}[/tex]
Now, Substituting the given values in the formula :
[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{1}{2} \times (16 + x)\: \times 10 \: = {140}}}}[/tex]
[tex]\qquad { \dashrightarrow \: { \sf{ 5 \times (16 + x)\ \: = {140}}}}[/tex]
[tex]\qquad { \dashrightarrow \: { \sf{ 80 + 5x = {140}}}}[/tex]
[tex]\qquad { \dashrightarrow \: { \sf{ 5x = {140 - 80}}}}[/tex]
[tex]\qquad { \dashrightarrow \: { \sf{ 5x = {60}}}}[/tex]
[tex]\qquad { \dashrightarrow \: { \sf{ x = { \dfrac{60}{5} }}}}[/tex]
[tex]\qquad { \dashrightarrow \: { \pmb{ x = { 12 }}}}[/tex]
Therefore,
The other parallel side of the trapezium is 12 cm.Chang buys candy that costs 4$ per pound. He will buy at least 11 pounds of candy. What are the possible amounts he will spend on candy? Use c for the amount Chang will spend on candy. Wright your answer as an inequality solved for c
Answers
Answer:
Chang will spend $44 on 11 pounds of candy. The possible amounts he will spend is $44.
Step-by-step explanation:
Multiply4x11=44 which is the answer and if you contract it it will make 44 pounds and 44 pounds is 176 so $176 is he had 44 pounds but he only has 11 so
Answer:$44
Find x. Leave answers in simplified radical form. (Step by step)
Answers
Answer:
[tex]\sf x = 4\sqrt{2}[/tex]
Given:
adjacent: 4 cmhypotenuse: x cmangle: 45°using cosine rule:
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
[tex]\sf cos(45) = \dfrac{4}{x}[/tex]
[tex]\sf x = \dfrac{4}{cos(45)}[/tex]
[tex]\sf x = 4\sqrt{2}[/tex]
Solution:
Step-1: Find the missing angle.
90 + 45 + y = 180=> 135 + y = 180=> y = 180 - 135=> y = 45°Step-2: Review the following.
This triangle is an isosceles right triangle because two angles are equivalent.Two sides of the triangle must equal 4 cm.Step-3: Use Pythagoras theorem.
x² = 4² + 4²=> x² = 16 + 16=> x = √32 ≈ 5.65 cm (Using calculator)