Answers
∠ABC = ∠CDA (given)
∠BCA = ∠DAC (given)
CA = AC (common side)
ASA congruence criterion = when two angles of two triangles are equal and their included side is also equal, we can consider those triangles to be congruent to each other.
Since two angles in triangle △ABC and△CDA are equal and since their included side is also equal we can conclude that they are congruent.
Therefore, △ABC ≅ △CDA under the ASA congruence criterion.
Related Questions
Exercise 1.10.4: Mathematical statements into logical statements with nested quantifiers. info About Translate each of the following English statements into logical expressions. The domain is the set of all real numbers. (a) There are two numbers whose ratio is less than 1. (b) The reciprocal of every positive number is also positive. (c) There are two numbers whose sum is equal to their product. (d) The ratio of every two positive numbers is also positive. (e) The reciprocal of every positive number less than one is greater than one. (f) There is no smallest number. (g) Every number other than 0 has a multiplicative inverse. (h) Every number other than 0 has a unique multiplicative inverse.
Answers
Answer:
З x,y : ( x/y < 1, y/x < 1 )
Step-by-step explanation:
This is a bit somehow, I really do hope it doesn't confuse you. Here's your solution.
The domain in this question is one with a set of all real numbers. These real numbers needs the logical expressions of the English statements to be expressed with respect to real number. And so we're having
A) З x,y : ( x/y < 1, y/x < 1 )
B) ∀ Y : ( Y > 0 = 1/Y > 0 )
C) з x,y : ( x+y = xy )
D) ∀ x,y : [ ( x>0 ) ∧( y > 0 ) = (( x/y > 0 ) ∧ ( y/x > 0 ))
E ) ∀ y : [ ( y > 0 ) ∧ ( y < 1) = ( 1 / y > 1 )
F) n ( ( з x ∀ y ( x <y ) )
G) ∀x (( x ≠ 0 ) = ( зy ( xy = 1 ) ))
H) ∀x ( (x≠0) = ( з! y (xy = 1))
Courtney walks 5 laps around 1/4 mile track. how far does she walk?
Answers
Answer:
1 1/4 miles
Step-by-step explanation:
whats 3(2x-1)+7=6x-3-2(2-4x)
Answers
Answer:
x = -1
Step-by-step explanation:
DistributeCombine like-termsSimplifyboomWhat are the dimensions of a 2x4x8
Answers
Answer: Many of you know this, but why is this a thing? You don't go to Subway and pay for a $5-footlong expecting to get 11 inches (although many of you will argue this is the case). And it's not just a 2x4: A 1x4 is actually ¾ inches by 3-½ inches; a 4x4 is actually 3-½ inches by 3-½ inches.
Step-by-step explanation:
If you are asking what they equal up too, your answer is 16
If this isn't, please correct me and I will give you a better answer
What is the multiplicative rate of change of the
function?
Answers
Answer:
the multiplicative rate of change for the exponential change is 3
Step-by-step explanation:
undefined
defined; 7 x3
defined; 3 x 7
defined; 5 x 5
Which table represent the statement "A computer repairman makes $25 per hour"?
Answers
Answer:
c
Step-by-step explanation:
List all the factors.
48
Answers
Answer:
Postive intiger factors: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Answer:
1,2,3,4,6,8,12,16,24,48
Step-by-step explanation:
a car is 180inches long. a truck is 75% longer then the car. how long is the truck?
Answers
Answer:
135 in.
Step-by-step explanation:
Need help on question hurry
Answers
Answer: C
Step-by-step explanation: it is c trust me
If FGH ~ KJH, find FH.
Answers
The required length of FH is obtained as 64.68.
What is the criteria for similarity of two triangles?Two triangles are said to be similar when either the ratio of their corresponding sides are equal or all the corresponding angles are equal.
Two similar triangles are the same in shape but not in size.
The given diagram shows two similar triangles as ΔFGH and ΔKJH.
Since the ratios of the corresponding sides of the two triangles are equal, the following equation can be written for the given case as,
(x + 8)/32 = (4x - 25)/52
=> 52(x + 8) = 32(4x - 25)
=> 52x - 128x = -32 × 25 - 52 × 8
=> -76x = -1716
=> x = 22.42
Thus FH = 4x - 25 = 4 × 22.42 - 25 = 64.68
Hence, the length of FH for the given case is 64.68.
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Mark has already earned money for mowing lawns over the summer when he takes a job at the local grocery store, earning $9.50 per hour. After working 16 hours at the grocery store, Mark has earned a total of $292. Write a linear equation to represent the amount of money m that Mark has earned this summer after working h hours at the grocery store.
Answers
Step-by-step explanation:
M=9.5 (16,292)
(y=mx+b)
292=9.5(16)+b
The linear equation m = 9.50 h + 140 represents the amount of money m that Mark has earned this summer after working h hours at the grocery store.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Mark takes a job at the local grocery store, earning $9.50 per hour.
After working 16 hours at the grocery store, he earned a total of $292.
As per the given question, we can see points (16, 292)
Here earning $9.50 per hour can represent a slope of a linear function
Thus, M = 9.5 (16, 292)
The standard linear equation is given by,
⇒ m = Mx+b ....(i)
Substitute the values in the above equation,
292 = 9.5(16) + b
b = 292 - 152
b = 140
Substitute the value b = 140 in the equation(i),
⇒ m = 9.50 h + 140
Thus, the linear equation m = 9.50 h + 140 represents the amount of money.
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The weight of an object on the moon is 1/6 its weight on earth. If a bowling ball weighs 12 and 1/2 pounds on earth, how much does it weigh on the moon?
Answers
Find each difference.
• (-5) – 6 =
.
35 – (-8) =
.
43 - (-1) =
Answers
Answer:
1=1
2=43
3=44
Step-by-step explanation:
the subtraction negative and the negative in the parentheses make a positive so instead of subtracting them you add them together
y = 5. – 7 2y = –12 -3x
Answers
Answer:
!! solved as -7(2y)= -12(-3x)
x= negative 1.943333
Step-by-step explanation:
solve the following problem. round to one decimal place if necessary. if your answer is correct you will see an image appear on your screen
Answers
Answer:
theres no picture
Step-by-step explanation:
find the height of the cylinder if the volume is 340, and the length is 3
Answers
Answer:
113
Step-by-step explanation:
divide the volume with the length
When completely factored, 8x + 2y - 4
Answers
Answer:...
-4+8x+2xy
Step-by-step explanation:
What should you do first to simplify 8 + (2 x 5) ?
Answers
Answer:
18
Step-by-step explanation:
8+(2)(5)
=18
Answer:
18
Step-by-step explanation:
8 + (2×5)
=8 + 10
= 18
hope this will help you ☺✌
9.
If a 1000-cm string is cut into the ratio of 1: N:2, what is N?
Answers
Answer:
The N is 1
Step-by-step explanation:
The computation of N is given below:
Given that there is a 1,000 cm string
That cut into the ratio of 1:N:2
So if we considered the N be 1
1,000 = 1:1:2
So it would be 250 + 250 + 500 = 1000
Hence, the N be 1
So the same is relevant
Using the ratio principle, the value of N in the expression would be 2.
Given that, the length of the string = 1000 cm :
Ratio = 1 : N : 2
Since none of the value of the ratios are given, then N could be a value such as 2 ;
If N = 2 ;
Ratio total = (1 + 2 + 2) = 5(1000 / 5) × 1 = 200 cm
(1000 / 5) × 2 = 400 cm
(1000 / 5) × 2 = 400 cm
Hence, the value of N in the expression is 2.
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The United States government wanted to determine what proportion of Americans approve of the current President so they conducted a survey of 2,000 randomly chosen Americans. Assume that the true proportion of Americans who approve of the president is 0.46. Determine what the mean and the standard deviation of the sampling distribution of the sample proportion would be. Round to 2 decimal places when necessary. The mean of the sampling distribution is .43 and the standard deviation of the sampling distribution is .05 .
Answers
Answer:
The mean of the sampling distribution is 0.46
The standard deviation of the sampling distribution is 0.01
Step-by-step explanation:
We use the central limit theorem to solve this question:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
[tex]p = 0.46, n = 2000[/tex]
So
Mean: [tex]\mu = p = 0.46[/tex]
Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{2000}} = 0.01[/tex]
The mean of the sampling distribution is 0.46
The standard deviation of the sampling distribution is 0.01
The mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively
Proportion and standard deviation
The formula for calculating the standard deviation for a sample proportion is given as:
[tex]\sigma =\sqrt{\frac{p(1-p)}{n} }[/tex]
p is the proportionn is the sample sizeNote that p = mean = 0.46
To get the standard deviation:
[tex]\sigma =\sqrt{\frac{0.46(1-0.46)}{2000} }\\\sigma =\sqrt{\frac{0.46(0.54)}{2000} }\\\sigma = 0.01[/tex]
Hence the mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively.
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give me stuff thats equivalent to 2/10
plz
i dont know my mafs
Answers
Jackson has up to 7 1/2 hour to spend at an amusement park he will spend 1 1/2 of those hours at the water park He will spend x hours at each of the 3 other sections in the amusement park.
Select the inequality that can be solved to determine the number of hours Jackson can spend in each one of the other sections.
A. 1 1/2 + 3 ≤ 7 1/2
B. 3X + 1 1/2 ≥ 7 1/2
C, 1 1/2x + 3 ≥ 7 1/2
D. 3x + 1 1/2 ≤ 7 1/2
Plz right answer
Answers
Answer:
D
Step-by-step explanation:
Since Jackson has 7 1/2 hours to spend at the amusement park, he has already spent 1 1/2 of those hours at the water park (We will need this shortly). Since he has 6 hours remaining and 3 parks to go, he can't spend more than 7 1/2 hours at the park. This means that the answer will have to be less than or equal to. Finally, it would be D because he can spend any amount of time at the other 3 parks (x) plus the 1 12 hours he already spent.
Dan spends 1/4 of his wages on rent and 2/3 on food. If he makes £264 per week, how much money does he have left?
Answers
Answer:
Step-by-step explanation:
¼ + ⅔ = 11/12
1 - 11/12 = 1/12
He has 1/12 of £264 = £22 left
Solve for r.
5r - -17r - 4r + -9 = 9
Answers
6 + 13r = 9
13r = -3
r = -3/13
:)
Answer:
r=1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5r−−17r−4r−9=9
5r+17r+−4r+−9=9
(5r+17r+−4r)+(−9)=9(Combine Like Terms)
18r+−9=9
18r−9=9
Step 2: Add 9 to both sides.
18r−9+9=9+9
18r=18
Step 3: Divide both sides by 18.
18r/18 = 18/18
r=1
Which pairs of polygons are similar?
Select each correct answer
Answers
Answer:
Left side: Bottom
Right side: Top
Step-by-step explanation:
If the angles are congruent AND the sides are proportional, then the two polygons are similar.
The similar pairs of polygons are:-
Left side: Bottom
Right side: Top
What are polygons?A polygon is a plane figure described by a finite number of straight-line segments connected to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both.
If the angles are congruent AND the sides are proportional, then the two polygons are similar.
If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
The polygons left side bottom right side top are similar to each other in the given image.
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25% of 200. Find the percentage of the number
Answers
Answer:
50
Step-by-step explanation:
0.25 * 200 = 50
25% of 200 is 50
Answer:
50
Step-by-step explanation:
25% of 100 is 25 so add another 100 so u have to add 25
Which values from the set {2,4,6,8,10} make this inequality n + 5 > 10 true?
Answers
Answer:
6,8,and 10
Step-by-step explanation:
Answer:
6,8,and 10
Step-by-step explanation:
when you plug in each number from the set into the inequality you will see which values from the set will make the inequality true.
1. 2+5>10 = 7>10 FALSE
2. 4+5>10 = 9>10 FALSE
3. 6+5>10 =11>10 TRUE
4. 8+5>10 = 13>10 TRUE
5. 10+5>10 = 15>10 TRUE
I will give brainiest.
Answers
Answer:
the third one is the answer
Each card in a set of cards has a different number from 1 to 12 written
on it. A student randomly chooses a card, records the number shown
on the card, and replaces the card. The table shows the results of the
student choosing a card 25 times.
Based on the data in the table, how
many of the next 125 cards the
student chooses could be expected
to have a number shown on the card
that is a multiple of 4?
Results
Answers
Answer: 35
Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome
Answer:
35
Step-by-step explanation:
got it right
what law of exponent is shown by (4³)⁴ = 4¹²