Answers
Answer:
a) Translate ABC using directed line segment AE. Rotate A'B'C' using E as the center until C' coincides with G.
Step-by-step explanation:
If we consider ABC figure as a rigid body, then we can translate it to any point in space, keeping the lengths and directions of its elements same. So, to prove congruency of two figures we will try to make them coincident on each other. So, first we translate the figure ABC, along a straight line projected from A to E, such that point A meets Point E. We call this repositioned figure A'B'C' Now, another property of rigid body is that it can rotate as a whole body about any of its internal points.
Since, A' and E are coincident now so, we rotate figure A'B'C', with A' as the center of rotation. This rotation is anti-clockwise and we rotate it until C' coincides with G. Now, both figures are coincident. Hence, their congruency is proven.
Therefore, the correct answer is:
a) Translate ABC using directed line segment AE. Rotate A'B'C' using E as the center until C' coincides with G.
In this exercise, we have to use the knowledge of solid rotation to identify the alternative that best represents what happened in the image, so we have that the best alternative is:
Letter A.
If we consider ABC figure as a rigid body, then we can translate it to any point in space, keeping the lengths and directions of its elements same. So, to prove congruency of two figures, we will try to make them coincident on each other.
First we translate the figure ABC, along a straight line projected from A to E, such that point A meets Point E. Now, another property of a rigid body is that it can rotate as a whole body about any of its internal points.Second we rotate figure A'B'C', with A' as the center of rotation. This rotation is anti-clockwise, and we rotate it until C' coincides with G.Now, both figures are coincident. Hence, their congruency is proven. Therefore, the correct answer is:
The letter A, which means that translate ABC using directed line segment AE. Rotate A'B'C' using E as the center until C' coincides with G.
See more about rotation at brainly.com/question/1571997
Related Questions
Convert 1,152 inches into yards using fractions
Answers
Answer:
8/9 yards
Step-by-step explanation:
Hillary needs to know if the triangle shown is a right triangle. Which equation should she use to help?
Answers
Answer:
a2+b2=c2
Step-by-step explanation:
A right triangle is a triangle in which one of the angles is a 90∘ angle. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
what is 50 divided by 6. explain
Answers
Answer:
8.333333333 repeating
Step-by-step explanation:
do the equation for 50/6 and you will get 8.3333 repeating
The quotient is 50 ÷ 6 = 8 1/3, which represents 50 divided by 6 equals 8 remainders 3 or written as a mixed number, 8 1/3.
To calculate 50 divided by 6, we perform a division operation to determine how many times 6 can be evenly divided into 50.
When dividing, we start with the largest possible quotient, which is 8 in this case (as 8 * 6 = 48).
We subtract 48 from 50, resulting in a remainder of 2. Since the remainder is not zero, we need to continue the division.
Now, we bring down the next digit, which is 0, making the dividend 20. We divide 20 by 6, which gives us a quotient of 3 with no remainder.
Therefore, 50 divided by 6 equals 8 remainders 3, or written as a mixed number, 8 1/3.
The quotient represents the number of times 6 can be evenly divided into 50, and the remainder represents the amount left over.
To learn more about the division operation click here :
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A man bought two books for RS 1040. He sold one at a loss of 15% and other at a profit of 36% then he found that each book was sold for the same price. Find the cost price of each book.
Answers
Answer:
640 & 400
Step-by-step explanation:
Cost of books: x and 1040-x
x sold at a loss of 15%= .85 x
1040 - x sold at a profit of 36% = (1040 - x) *1.36
x*.85= (1040-x)*1.36
0.85x+1.36x= 1040*1.36
2.21x= 1414.4
x= 1414.4/ 2.21
x= Rs. 640
Rs. 1040 - 640 = 400
A thermometer read -17° F at 1:00 a.m. By 2:30 a.m., the temperature had dropped 9.1° F. What was the temperature at 2:30
a.m.?
Answers
Answer:
-26.1°
Step-by-step explanation:
So when the temperature decreases, you want to get more negative. So -17°-9.1°=-26.1°
If the volleyball team washes 10 more cars, then they will have met their overall goal of
washing 60 cars to raise money for their season. Let c represent the number of cars that
the volleyball team has washed so far. Which of the following equations can be used to
solve for c?
Answers
Answer:
Step-by-step explanation:
60-10=50
they washed 50 cars.
88.403 887.304 887.043
Greatest to least
Answers
Answer:
887.304, 887.043, 88.403
Greatest to least
Can you guys help me with finding the answer to this?
Answers
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a
mean of 100 and a standard deviation of 15.
106 124
The area of the shaded region is (Round to four decimal places as needed.)
Answers
Answer:
The area of the shaded region is 0.2898.
Step-by-step explanation:
Let X represent the IQ scores of adults.
It is provided that [tex]X\sim N(100,15^{2})[/tex].
Compute the probability of an adult having an IQ between 106 and 124 as follows:
[tex]P(106<X<124)=P(\frac{106-100}{15}<\frac{X-\mu}{\sigma}<\frac{124-100}{15})[/tex]
[tex]=P(0.40<Z<1.60)\\=P(Z<1.60)-P(Z<0.40)\\=0.94520-0.65542\\=0.28978\\\approx 0.2898[/tex]
*Use a z-table.
Thus, the area of the shaded region is 0.2898.
Anthony wants to make a discretionary purchase of a basic laptop computer. He checks the prices of a particular make and model listed by seven different venders on a shopping comparison website. He found these prices: $850, $798, $2,400, $790, $836, $700, and $780. He computes the mean as $1022.
Answers
Answer:
He computes the mean as $1,022.
Step-by-step explanation:
what is the sales tax if a $9,895 purchase will have $809.41 of sales tax added to it? round to one decimal place
Answers
Answer:
8.2%
Step-by-step explanation:
9,895x = 809.41
x = 0.08179 or 8.2%
What is √5⋅√7+2√35 expressed in simplified form?
Answers
3√35
mark me brainliest please!!
Answer:
3√35
Step-by-step explanation:
since √(ab) = √a·√b you can write √5·√7 as √35
So you have √35 + 2√35 = 3√35
Can y’all help me on this one
What’s the answer?
Answers
Answer:
x = 2
Step-by-step explanation:
First translate the image into an equation using the key. Once you do that, your equation should look like this:
(x + x + x) + (-1 + -1 + -1 + -1 + -1) = (-x + -x) + (1 + 1 + 1 + 1 + 1)
________________________________
3x - 5 = -2x + 5
(given)
________________________________
3x - 5 = -2x + 5
+5. +5
(addition property of equality)
*cancel out -5 on the left hand side, and isolate it from x by adding +5 on each side*
__________________________
3x = -2x + 10
+2x +2x
(addition property of equality)
*cancel out the negative 2x, and isolate it from the constant term on the right hand side by adding 2x on both sides*
________________________________
5x = 10
÷5. ÷5
(division property of equality)
*divide by 5(GCF) on both sides to isolate
x by itself*
________________________________
x = 2
________________________________
If you want to test this solution, substitute this back into the equation.
x = 2 → 3x - 5 = -2x + 5. 3(2) - 5 = -2(2) + 5 = 6 - 5 = -4 + 5 = 1 = 1
Find the 7th term in the sequence -1,2,-4,8
Answers
=======================================
Work Shown:
We have a geometric sequence
a = first term = -1
r = common ratio = (second term)/(first term) = 2/(-1) = -2
nth term
a(n) = a*(r)^(n-1)
a(n) = -1*(-2)^(n-1)
Now plug in n = 7 to get the 7th term
a(n) = -1*(-2)^(n-1)
a(7) = -1*(-2)^(7-1)
a(7) = -1*(-2)^6
a(7) = -1*(64)
a(7) = -64
The first seven terms are
-1, 2, -4, 8, -16, 32, -64
To get each new term, we multiply the last term by the common ratio -2
There’s not really an exact way to do this, you just have to look for a pattern.
This sequence follows the following notation:
An= -(-2^(n-1))
Then, we can plug 7 in for n.
A7 = -(-2^(n-1))
A7=-(-2^6)
A7=-64
division 6=7??????????
Answers
To determine whether they have a certain disease, 100 people are to have their blood tested.However, rather than testing each individual separately, it has been decided first to place the peopleinto groups of 10. The blood samples of the 10 people in each group will be pooled and analyzedtogether. If the test is negative, one test will suffice for the 10 people, whereas if the test is positive,each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.Assume that the probability that a person has the disease is .1 for all people, independently of eachother, and compute the expected number of tests necessary for each group. (Note that we areassuming that the pooled test will be positive if at least one person in the pool has the disease.)
Answers
Answer:
The expected number of tests necessary for each group is 7.51.
Step-by-step explanation:
The probability of a person having the disease is, P (X) = 0.10.
Then the probability of a person not having the disease is P (X') = 0.90.
It is provided that if the test is negative, one test will suffice for the 10 people.
Bur if the test is positive, each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.
Compute the expected number of tests necessary for each group as follows:
Expected number of tests = Negative Result × P (X') + Positive Result × P (X)
[tex]=(1\times (0.90)^{10})+(11\times [1-(0.90)^{10}])\\=0.3486784401+7.1645371589\\=7.513215599\\\approx 7.51[/tex]
Thus, the expected number of tests necessary for each group is 7.51.
Find the equation of the line passing through the points (-2,-4) and (7,23)
Answers
Answer:
y=−5.4x
Step-by-step explanation:
Slope -5.4
Intercept -14.80
In the sequence, 2, 5, 8, 11, …, which expression describes the number
after x? Explain your choice.
Group of answer choices
x+3
x-3
x/3
3x
Answers
Answer:
the first one x+3 is the right answer
How many cubic yards of dirt will it take to fill a hole that is in the shape of a cube 3 yards on each side?
Answers
Answer:
27 yds^3
Step-by-step explanation:
Answer:
27 cubic yards
Step-by-step explanation:
3 x 3 x 3 = 27
what is the coefficient of the term 12p in the expression 12p+9q
Answers
Answer:
12
Step-by-step explanation:
Answer:
The answer is 12,
Step-by-step explanation:
12 is the coefficient because it is the number multiplied by the variable p in the equation.
The ratio of Vicki's savings to Donna's savings is 4 : 7. Vicki saved $225 less than Donna. How much money did Vicki save?
Answers
Answer:
300
Step-by-step explanation:
4:7
7-4=3
225/3=75
75x4=300
To win at Lotto in a certain state, one must correctly select 6 numbers from a Corbin of 52 numbers (one through 52). The order in which the selecting is made does not matter. How many different selections are possible?
Answers
Answer:
the answer is ... look down below
Step-by-step explanation:
52 divided by 6 equals 8.66
55 points and Brainliest!
Answers
Answer:
Um
Step-by-step explanation:
Graph g(x) = -8 2 +1.
Answers
Answer:
x= -82+1
x= -81
Step-by-step explanation:
i hope it is help full
What is the factored form of the
polynomial? x^2+ 19x + 60
Help
Answers
Answer:
(x+15)(x+4)
Step-by-step explanation:
Write 81% as a fraction. There is no need to simplify your answer.
Answers
Answer:
81/100
Step-by-step explanation:
Answer:
81/100
Step-by-step explanation:
-6K – 3 = 39. Please solve this equation for K. Type your work in.
Answers
Answer:
k = -7
Step-by-step explanation:
-6k-3 = 39
Add 3 to each side
-6k-3+3 = 39+3
-6k = 42
Divide each side by -6
-6k/-6 = 42/-6
k = -7
Evaluate: 8[1/4]
0
1
2
3
Answers
Answer:
0
Step-by-step explanation:
on edge step functions assignment
The value of 8[1/4] is 0, the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The number= 8[1/4]
Now,
To evaluate 8[1/4], we need to use the definition of the square bracket notation. The square bracket notation means to round down to the nearest integer. For example, [3.7] = 3 and [-2.1] = -3.
So, 8[1/4] means to multiply 8 by the integer that is closest to 1/4 but less than or equal to it. The integer that is closest to 1/4 but less than or equal to it is 0. So, 8[1/4] = 8 * 0 = 0.
Therefore, by algebra the answer will be 0.
More about the Algebra link is given below.
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find the perimeter of a circle whose diameter is 12.6 cm please help and show working don't say that you have it to collect my points
Answers
Answer:
C = 39.58cm
Step-by-step explanation:
2 * 3.14159 * 6.3
6.28318 * 6.3
39.584034
Answer:
see below
Step-by-step explanation:
The perimeter of a circle is called the circumference
C = pi *d
C = pi * 12.6
Using 3.14 as ab approximation for pi
C = 3.14 * 12.6
C =39.564 cm
Using the pi button for pi
C =39.58406744
Lainey bought a set of 20 markers for $6
What is the cost for 1 marker?
Answers
Answer:
30¢
Step-by-step explanation:
$6 ÷ 20 = $0.30