Use the definition of congruence to decide whether the two figures are congruent
Someone help please
Answers
Answer:
These two figures are not congruent.
Step-by-step explanation:
The definition of congruence is, "In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.", now knowing this we next take a look at the figures.
Coordinates (A, E) do not match up with the bottom figures (P, T). The next coordinates (E, D) also don't match up with coordinates (T, S). Coordinates (A, B) and (P, Q) don't match up together either. (B, O), (Q, R), (O, D), or (R, S) also do not match up if you look closely at them. Now you can conclude that although these two figures may look alike at first glance, their points are put in different places showing that they aren't the same in shape and size; meaning they are not congruent.
Two figures are congruent if their dimensions are equal
ABCDE = PQRST therefore, ABCDE ≅ PQRST, by the definition of congruency
Reason:
The coordinates of pentagon ABCDE are;
A(-2, 8), E(4, 8), D(6, 2), C(-2, 2), B(-4, 6)
The coordinates of pentagon PQRST are;
P(-3, 0), T(3, 0), S(5, -6), R(-3, -6), Q(-5, -2)
By performing the vector translation of [tex]\dbinom {1}{8}[/tex], to PQRST, we have;
P(-3 + 1, 0 + 8) = (-2, 8) = Coordinates of A
T(3 + 1, 0 + 8) = (4, 8) = Coordinates of E
S(5 + 1, -6 + 8) = (6, 2) = = Coordinates of D
R(-3 + 1, -6 + 8) = (-2, 2) = = Coordinates of C
Q(-5 + 1, -2 + 8) = (-4, 6) = = Coordinates of B
Given that a translation is a rigid transformation and that by performing a translation transformation of [tex]\dbinom {1}{8}[/tex], on PQRST gives ABCDE, we have that the dimensions of the pentagon ABCDE = The dimensions of the pentagon PQRST, we have;
ABCDE = PQRST
Therefore;
ABCDE ≅ PQRST, by the definition of congruency
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I took the test
the teacher separated her class of fifty-eight students into two groups. one group has 6 more than thrice as many students as the other group. how many students are in each group?
Answers
Students in one group is 45
Students in another group is 13
teacher separated her class of fifty-eight students into two groups
Number of groups =2
one group has 6 more than thrice as many students as the other group
Let one group has x students
another group has y students
x+ y = 58 . . . . . 1
x= 6+3y
Substitute x= 6+3y in . . . 1
6+3y +y = 58
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x=6+3y=6+3(13)
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Students in one group is 45
Students in another group is 13
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a medical researcher obtains a sample of adults suffering from diabetes. she randomly assigns people to a treatment group and to a placebo group. the treatment group receives a medication over a period of three months and the placebo group receives a placebo over the same time frame. at the end of three months the patients' symptoms are evaluated.
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This is an example of an experimental study since the researcher chose who would get medicine and who would receive a placebo.
What is Experimental Study?a quantitative research technique that controls other pertinent variables while observing the effects of changes in the study's key variables The Impact of Product Modularity on Supplier Integration: A Multi-Objective Approach2 provides further information. In experimental research, participants are randomly divided into distinct groups (such as experimental and control groups) in order to ascertain the causal relationship between a given condition (an independent variable) and a certain outcome (dependent variable).An illustration of an experimental research on the subject would be to assign people at random to either spend 10 minutes on their page as the experimental treatment, or spend the same amount of time on other websites (control group).
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Kara's Custom Tees experienced fixed costs of $800 and a variable cost of $3 per shirt. Write an equation that can be used to determine the total costs encountered by Kara's Custom Tees when x shirts are produced. Then, determine the total cost of producing 75 shirts.
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The total cost of producing 75 shirts will be $1050.
It is given that Kara's Custom Tees experienced fixed costs of $800 and variable cost of $3 per shirt.
We have to find an equation and also the total cost of producing 75 shirts.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , multiplication , etc.
As per the question ;
Fixed cost = $ 800
and
Variable cost per shirt = $3.
If x shirts are produced then ; then equation will be ;
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And total cost of 75 shirts will be ;
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Thus , the total cost of producing 75 shirts will be $1050.
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The complete question is given below:
Which of the following describes a situation in which the total distance a baseball player travels is 0 meters from his starting point? (5 points)
a) The player runs 4 meters forward and then runs 3 meters in the opposite direction.
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c) The player runs 3 meters forward and then runs 4 meters in the opposite direction.
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Answers
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Step-by-step explanation:
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Step by step
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Answer:
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Type the correct answer in each box. Use numerals instead of words.
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Answers
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Herein we find a representation of a quadratic function on a Cartesian plane, whose formula in vertex form is presented below:
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y + 8 = 2 · (x - 2)²
y = 2 · (x - 2)² - 8
y = 2 · (x² - 4 · x + 4) - 8
y = 2 · x² - 8 · x + 8 - 8
y = 2 · x² - 8 · x
y = 2 · x · (x - 4)
The factored form of the equation of the parabola is y = 2 · x · (x - 4).
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consider a traingle of base 1 cm and height 1 cm.on the same base and on the same side, second traingle is drawn with half the previous height.if this process continues as many times as possible what will be the total area of all the traingles thus formed????
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According to given value;
The area of first triangle =(1)*(1)*(1/2)=1/2
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=(1)-(1/2ⁿ)
The formula of geometric summation equation;= a₁-(1-qⁿ)/(1-q)
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Convert the decimal below to a fraction in simplest form.
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(166÷2)
______
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On a shopping trip, Jeffery buys 3 sweaters and 5 pairs of jeans for $160. Eric also purchases 6 sweaters and two pairs of jeans for the same price. What is the difference in price of a sweater and one pair of jeans?
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Answer:
Step-by-step explanation:
It would most likely be 0, but I am not sure.
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Answers
Answer:
[tex]10 + 1i[/tex]
Step-by-step explanation:
[tex]i = \sqrt{-1}[/tex]
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Answers
The pattern is 1, 1, 11, 6, 6, 16, 11, 11, 21, 16, 16, 26.
Given,
The pattern: 1, 1, 11, 6, 6, 16, 11, 11, 21, 16.
Here,
First and second term:
1,1 = same number repeat for two times.
Third term:
11 = preceding term + 10
That is, 1 + 10 = 11: That is the third term.
As follows:
Fourth and fifth term:
6, 6 = same number repeat for two times.
Sixth term:
6 + 10 = 16
Seventh and eighth term:
11, 11 = same number repeat.
Ninth term:
11 + 10 = 21
Tenth term is given: 16
Now we have to find eleventh and twelth terms:
Tenth and eleventh should be same number repeat for two times:
16, 16
Twelth term:
16 + 10 = 26.
Now we can complete the pattern:
1, 1, 11, 6, 6, 16, 11, 11, 21, 16, 16, 26.
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33/25 as a decimal rounded to the nearest tenth
Answers
Answer:1.3
Step-by-step explanation:
33/22=1.32
Round to nearest 10th
1.32=1.3
what’s the answer to this???
you have to find where it increases, decreases, and where it’s constant….
help..
Answers
We know that since there's an arrow pointing
to the left of the line that it goes on infinitely
Same thing when the arrow is going to the
right
Then we can just looking at the x-values on
the graph for the intervals where it starts and
stops
-3,3
inf, -3
3,inf
i hope this helps
Do you think it would be better to use breaking apart in the distributive property or compensation to find the product of five times 328? explain why and show how to find the product.
Answers
Yes it would be better to use breaking apart in the distributive property or compensation to find the product of 5 x 328 .
what is distributive property?
This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding or substracting the results together .like in subtraction A(B-C)= AB-AC
In other words, an equation of the type A (B+C) can be solved as A (B+C) AB+AC in accordance with the distributive property.
This characteristic also holds for subtraction.
5 x 328
= 5(300+28)
= 5 x 300 + 5 x 28
= 1500 + 140
= 1640
Hence, it would be better to use breaking apart in the distributive property or compensation to find the product of 5 x 328 .
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28.007 x 10² = _____
Answers
28.007 x 10² = _2800.7_
[tex] \red{ {10}^{2} } = 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = \red{100} \times 28.007 \: \: multiply \: the \: numbers \\ = \green {2800.7}\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:[/tex]
that's all :)
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[tex] \: \Large \mathbb{SOLUTION:}[/tex]
[tex] \: \: \text{28.007 × 10² }[/tex]
[tex] \: \: \text{Calculate the power}[/tex]
[tex] \: \: \text{28.007 × 100 }[/tex]
[tex] \: \: \text{Calculate the product or quotient}[/tex]
[tex] \: \: \text{\underline{\underline{2800.7}}}[/tex]