Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. GA ∩ TN = I ∆GIT ≅ ∆_____ by _____
Answers
Answer:
The correct answer is;
ΔGIT≅ ΔNIA by Side Angle Side (SAS) rule of congruency
Step-by-step explanation:
The given information are;
The point of intersection of GA ∩ TN = I
Segment TI is congruent to segment NI (Given)
Segment GI is congruent to segment IA (Given)
Angle ∠GIT is congruent to angle ∠AIN (Vertically opposite angles)
Therefore, we have;
Triangle, ΔGIT is congruent to triangle ΔNIA (Side Angle Side (SAS) rule of congruency)
Two triangles are said to be congruent by the Side Angle Side (SAS) rule of congruency, when two of the sides and the included angle (the angle in between the two sides) of one of the triangle are equal to two sides and the included angle of the other triangle.
Therefore, the correct answer is ΔGIT≅ ΔNIA by Side Angle Side (SAS) rule of congruency
Answer:
△GIT≅△AIN
By Rule: SAS
Related Questions
Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options. The vertex form of the function is f(x) = (x – 2)2 + 2. The vertex of the function is (–3, –13). The axis of symmetry for the function is x = 3. The graph increases over the interval (–3, infinity). The function does not cross the x-axis.
Answers
Answer:
B, D
Step-by-step explanation:
If you're going to make claims about the graph, it is helpful to see a graph (attached).
A) The vertex form of the function is f(x) = (x +3)^2 -13, not the one shown.
B) The vertex is (-3, -13). True
C) The axis of symmetry is x = -3, not the one given.
D) The graph increases for x > -3. True
E) The function crosses the x-axis at about x=-6.6 and x=0.6.
A function assigns the values. The statements that are true about the given function are B and D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Here, we have,
To know the correct statements about the graph of the function f(x)=6x-4+x², we need to plot the graph, as shown below.
A.) The vertex form of the function is f(x)=(x-2)²+2.
To know if the vertex form of the function is f(x)=(x-2)²+2, solve the equation and check if it is of the form f(x)=6x-4+x².
Since the two functions are not equal this is not the vertex form of the function is f(x)=6x-4+x².
B.) The vertex of the function is (-3, -13).
As can be seen in the image below, the vertex of the function lies at (-3,-13.) Therefore, the statement is true.
C.) The axis of symmetry for the function is x = 3.
As the vertex is at -3, therefore, the function symmetry will be about x=-3.
Hence, the given statement is false.
D.) The graph increases over the interval (-3).
The given statement is true since the graph will be showing a positive slope in the interval (-3, +∞).
E.) The function does not cross the x-axis.
It can be observed that the function intersects the x-axis exactly at two points, therefore, the given statement is false.
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PLEASE HELP PLEASE WILL MARK BRAINLY
Answers
Answer:
15, 5, 45, 10
Step-by-step explanation:
2 minutes for 10 photos
1 minute for 5 photos
now:
2×5=10
3×5=15
25÷5=5
9×5=45
50÷5=10
You’re welcome
What is the distance between point A and point B? A) 4 units B) 3 units C) 5 units D) 3.5 units
Answers
Answer:
C) Distance =5 units
Step-by-step explanation:
[tex]x_1=1\\y_1=1\\x_2 =5\\y_2 = 4\\\\d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 } \\\\d = \sqrt{(5-1)^2+(4-1)^2} \\\\d = \sqrt{(4)^2+(3)^2}\\ \\d = \sqrt{16+9}\\ d = \sqrt{25}\\ \\d = 5[/tex]
Using the formula for the distance between two points, it is found that the distance between points A and B is given by:
C) 5 units.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, the points are A(1,1) and B(5,4), hence:
[tex]D = \sqrt{(5-1)^2+(4-1)^2} = \sqrt{25} = 5[/tex]
Hence option C is correct.
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Find the number of four-digit numbers which are not divisible by 4?
PLEASE HELP ASAP!!!
Answers
Answer:
i dont see the numbers
Step-by-step explanation:
Answer:
6750
Step-by-step explanation:
The first four-digit number divisible by 4 is 1000.
The last four-digit number divisible by 4 is 9996.
Modeling this as an arithmetic sequence, the nth term is:
a = 1000 + 4(n − 1)
So the number of terms is:
9996 = 1000 + 4(n − 1)
8996 = 4(n − 1)
2249 = n − 1
n = 2250
There are 2250 four-digit numbers that are divisible by 4. Since there are a total of 9000 four-digit numbers, that means there are 6750 four-digit numbers that are NOT divisible by 4.
Dennis uses a soft-sided foot locker to store his sports equipment in his bedroom. The foot locker is 38 inches long and 12 inches wide and has a volume of
7,752 cubic inches. What is the height (in inches) of the foot locker?
A. 204
B. 17
Answers
Answer:
So.. I believe the answer is 17
Step-by-step explanation:
In order to get your answer, you would first multiply 38*12 which is 456
Then you would get that number (456) and divide it by 7,752
So 7,752/456 is 17
Among the licensed drivers in the same age group, what is the probability that
a 57-year-old was involved in an accident? Use the table below.
Drivers in
Age group accidents
(thousands)
19 and under 2150
20-24
2620
25-34 3740
35-44 3220
45-54 3030
55-64
1990
65-74
790
75 and over 560
Drivers in
fatal
accidents
5,400
8.700
10.700
9600
9400
6500
3800
4300
Licensed
Drivers
(thousands)
10,034
17.173
35,712
40,322
40,937
30,355
17,246
13,321
Answers
Answer:
The probability that a 57-year-old was involved in an accident is 0.0656.
Step-by-step explanation:
We are given the data for the drivers involved in an accident of different age groups.
And we have to find the probability that a 57-year-old was involved in an accident.
From the table given to us, it clear that a 57-year-old driver will lie in the age group of 55 - 64.
Now, the number of licensed drivers in the age group of 55 - 64 are 30,355 (in thousands).
The point to be noted here is that the data given of drivers in accidents (thousands) will include the data of drivers in fatal accidents.
So, the number of 57-year-old drivers involved in accidents are 1990 (in thousands).
The probability that a 57-year-old was involved in an accident is given by;
= [tex]\frac{1990}{30,355}[/tex]
= [tex]\frac{398}{6071}[/tex] = 0.0656 or 6.56%
Sorry if I’m wrong I tried my best. God bless u
what is -4 as a fraction
Answers
Answer:
-4/1
Step-by-step explanation: whenever you have a whole number you just put a 1 as the denominator to make it a fraction.
Which data set could be represented by the box plot shown below?
Answers
Answer:
16
Step-by-step explanation:
How many digits of pi does it take to add up to 14, 25, 68, 103, and 150? I am being timed, whoever answers this fast or quick I will give you the brainiest!!!
PLEASE HELP QUICK
Answers
Answer:
The first 5 digits help you get 14 (well a little over but still)
The first 7 digits get you 25
The first 14 = 68
The first 21 = 103
the first 31 = 150
Hope this helps!
The number of digits of π that it requires to make up the numbers 14, 25, 68, 103, and 150 would be:
The initial 5 digits would give 14
The initial 7 gives 25
The initial 14 gives 68
The initial 21 gives 103
and, the initial 31 goes 150.
What is pi?Pi is described as the constant that is irrational, as well as, an ethereal constant derived from the Greek alphabet.
As per the question,
The initial 5 digits would give 14
The initial 7 gives 25
The initial 14 gives 68
The initial 21 gives 103
and, the initial 31 goes 150.
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A parallelogram has a base of 9 centimeters and a height of 21 centimeters. What is the area of the parallelogram? Please include all work!!
Answers
Answer:
A =189 cm^2
Step-by-step explanation:
The area of a parallelogram is found by
A = bh where b is the base and h is the height
A = 9 * 21
A =189 cm^2
Explanation:
A = bh
A = 9 x 21
A = 189
A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at
the store.
y
65
52
39
Fish
Fish
26
13
0
5
6
Fish Tanks
Answers
35m is the answer to the problom
Answer:
the correct answer is 13
Step-by-step explanation:
i got it correct on the test, hope this helps:)) !
A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. When comparing the shape of the two sets of data, what conclusion can someone draw? The students tend to have fewer siblings than the teachers. The teachers tend to have fewer siblings than the students. Both the students and the teachers have a wide range of siblings. Both sets of data have the same shape. the answer is- a. The students tend to have fewer siblings than the teachers.
Answers
Answer:
A. The students tend to have fewer siblings than the teachers.
Step-by-step explanation:
First we need to draw the dot plots correctly. If you count both sides they have 20 each.
Now, clearly none have fewer nobody here yet has more or less but going on to the next step.
Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14. And so on.
On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.
So the answer is A. The students tend to have fewer siblings than the teachers.
Answer:
The sum is A
Step-by-step explanation:
Just ma duty to help the community
m∠1=36°, m∠4=49°, m∠6=131°. Find m∠9. A. 144 B. 242 C. 216 D. 36
Answers
Answer:
<9 =144
Step-by-step explanation:
<1 + <4 + < 6 + <9 = 360
36+ 49+ 131 + <9 = 360
216 + < 9 = 360
< 9 = 360-216
<9 =144
Answer:
A. 144
Step-by-step explanation:
Since m<6 + m<4 = 131 + 49 = 180, then FE is a line.
Angles 1 and 9 are a linear pair, so they are supplementary.
m<9 + m<1 = 180
m<9 + 36 = 180
m<9 = 144
Choose a system of equations with the same solution as the following system
Answers
A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?
Answers
Answer:
[tex]f(t)=20000(0.85)^t[/tex]
Step-by-step explanation:
So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:
[tex]f(t)=P(r)^t[/tex]
Where P is the initial value, r is the rate of decay, and t is the time in years.
Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.
Therefore, the equation that models the value of the computer is:
[tex]f(t)=20000(0.85)^t[/tex]
Which statements are true based on the diagram? Check all that apply.
Points A, B, and D are on both planes.
Point H is not on plane R.
Plane P contains point F.
Points C, D, and A are noncollinear.
The line containing points F and G is on plane R.
The line containing points F and H is on plane R.
Answers
Answer:
The answer to this is a, b, d, e
Step-by-step explanation:
Answer:
A, B, D, E
Step-by-step explanation:
The US Department of Health and Human Services wants to know whether the healthcare system is achieving its goals in Virginia. Much information about
healthcare comes from patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US
Department of Health and Human Services conducted the Virginia Health Survey, which was used to interview a random sample of 65,439 people who live in
the state of Virginia.
Part A: What is the population for this sample survey? What is the sample? (4 points)
Part B: The survey found that 71% of males and 88% of females in the sample had visited a general practitioner at least once during the past year. Do you
think these estimates are close to the truth about the entire population? Explain. (6 points)
Answers
Answer:
Part A: All the residents of the state of Virginia make up the population, while the sample is the number of those interviewed–65,439 people.
Part B: No
Step-by-step explanation:
Part A: In statistical analysis, the population refers to the study area of the research; and in this case– the state of Virginia. While the sample represents a considerable representation of the population in the survey.
Part B: No because we are told The US Department of Health and Human Services used a random sample, not a non-random sampling technique; which implies that the feedback was random and may not likely be close to the truth about the entire population.
On a certain map, 3 inches represents 15 miles. Briarwood and Middletown are 5 inches apart on the map. What is the actual distance between Briarwood and Middletown? A. 25 mi B. 30 mi C. 50 mi D. 75 mi
Answers
Answer:
i think the answer is a. 25
the graph of y=f(x) is shown below. find all the values of x where f(x)=1
Answers
When you substitute the value of x = 3, you get f(x) = 1.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.
Here the given graph of y = f(x) is shown.
When you substitute the value of x = 3, you get f(x) = 1.
Hence, you can get f(x) = 1 by substituting the value of x = 3
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Which data set could be represented by the box plot shown below?
Answers
Answer:
Step-by-step explanation:22
22
Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 8 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 25 by 64 centimeters. Zach moved the existing sand to the new terrarium.
Answers
Answer:
5cm
Step-by-step explanation:
50cm x 20cm x 8cm = 8000cm^3
25cm x 64cm = 1600cm^2
1600x=8000
x=5cm
What does y equal -3=15+4y
Answers
Answer:
-3 = 15+4y
4y = 12
y = 3.......
Which property is shown by -6 + 0 = -6? A. Commutative Property of Addition B. Identity Property of Addition C. Distributive Property D. Associative Property of Addition
Answers
Answer:
C
Step-by-step explanation:
It is c because you are adding. the 6 and o.
Answer:
Would be C.
Step-by-step explanation:
Just adding the 6 and the 0 basically.
Which of the following is true? three and two fifths plus four and two sevenths equals seven and four twelves two and five eighths plus six and one sixth equals eight and six twenty fourths four and eight tenths plus five and two sixths equals ten and eight sixtieths six and seven twelves plus three and nineteen twenty fourths equals nine and nine twenty fourths
Answers
Answer: The answer is c
Step-by-step explanation:
Given: f(x) = X2 - 3 and g(x)= x+1 The composite function g.f is
a) x² + 2x - 2
b) x² + 2x
c) x² - 2
Answers
Answer:
option (c)
Step-by-step explanation:
g.f= g(f(x))
= g(x2 -3)
= (x2 -3)+1
=x2 -2
The composite function g.f is option c) x² - 2.
What are composite functions?Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions. They are also called function of functions.
Given: f(x) = x² - 3 and g(x)= x+1
The composite of the function;
g.f= g(f(x))
= g(x²-3)
= (x² -3)+1
= x² -2
Thus, The composite function g.f is option c) x² - 2.
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Witch one do I pick
Answers
Answer:
c
Step-by-step explanation:
Find x: 50*5x=5000
A) 25
B) 20
C) 50
D) 75
Answers
Answer:
[tex]\huge\boxed{B) x = 20}[/tex]
Step-by-step explanation:
50 * 5x = 5000
Dividing both sides by 50
=> 5x = 5000/50
=> 5x = 100
Dividing both sides by 5
=> x = 20
Answer:
the answer is B
Step-by-step explanation:
X: (x)50=20
use the tables below to find (p-q)(2)
Answers
Answer:
[tex]\boxed{5}[/tex]
Step-by-step explanation:
[tex](p-q)(2)[/tex]
[tex]p(2)-q(2)[/tex]
[tex]\sf When \ x \ is \ 2, \ p(x) \ is \ 3 \ and \ q(x) \ is \ -2.[/tex]
[tex](3)-(-2)[/tex]
[tex]3+2=5[/tex]
—————-////——
What are the domain, range, and midline of the function f(x)=1/2cos(1/4x)-1?
Answers
Your function is: [tex]f(x)=\frac{1}{2}\cos \Big( \frac{1}{4x}\Big) -1[/tex]
Domain: $(-\infty, +\infty)-\{ 0 \}$ or $R-\{ 0 \}$
Range: $[-\frac{3}{2}, -\frac{1}{2}]$
Midline: $y=-1$
You can choose from the following 15, 16, 24, -88, 75, -62, 151, 88, 1, 30, -5 Also thank you in advance I don't know why I don't get this one so please explain if possible!
Answers
Answer:
-88
Step-by-step explanation:
whoever deleted my answer thanks a lot
