1. Line SD is a line of symmetry for figure AXPDZHMS. Noah says that AXPDS is congruent to HMZDS because sides AX and HM are corresponding.
Part a: Why is Noah's congruence statement incorrect?
Part b: Write a correct congruence statement for the pentagons.
Answers
Answer/Step-by-step explanation:
Part A:
If a figure is divided into two equal halves by a line of symmetry, each of the pair the corresponding parts will be congruent to the other part.
Thus, based on the Symmetric Figures Theorem, the two parts in the question above are congruent as a result of the line of symmetry, line SD, which makes one part the mirror image of the other.
Therefore, Noah's congruence statement is of the pentagons is incorrect.
Part B:
Based on Symmetric Figures Theorem, AXPDS is congruent to MHZDS as the line of symmetry, line SD, makes one a mirror image of the other.
The line of symmetry of the quadrilateral AXPDZHMS = The line SD
Therefore, given that SD is congruent to SD by reflexive property, we have;
AXPDS is congruent to MHZDS
Part a: The reason why Noah's congruency statement is incorrect is the
order of the lettering in the statement, and the part of the selected that do
not directly show congruency, which are;
Noah's statement; AXPDS is congruent to HMZDS because sides AX and HM are corresponding.Part b: The correct congruency statement is presented as follows;
AXPDS is congruent to MHZDS because SD and SD are reflexive and corresponding sides and are therefore congruent. Therefore, by the converse of the Congruent Parts of Congruent Figures are Congruent, CPCFC we have, AXPDS is congruent to MHZDSLearn more here:
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Related Questions
While solving an equation, if the variable term becomes zero, and the equation make a false statement, then the solution is
A: infinite solutions
B: one solution
C. no solution
Answers
Answer:
0.1%
Step-by-step explanation:
0.1%
Answer:
No solution.
Step-by-step explanation:
Then the equation has no solution.
For example
2x - 2 = 2x + 1
-2x - 2x
-2 = 1.
___________________________________________
Brainliest?
True or False
If an acute angle is 80o then we add the obtuse angle of 110o to equal 180o?
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Answer:
true
Step-by-step explanation:
WILL GIVE BRAINLIEST (two questions but points)
Write the expression as a cube of a monomial: 0.008y^21
Write the expression as a monomial in standard form: (−3xy^2)^3 · (− 2/3x^2y^3)^4
Answers
Answer:
The answer to the first question is (0.2y^7)^3
Step-by-step explanation:
The expression (0.2 × y⁷)³ is a cube of a monomial in standard form and the expression (16/3)x¹¹y¹⁸ is a monomial in standard form.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression below which is given in the question
0.008y²¹
We have to write the given expression as a cube of a monomial in standard form
0.008y²¹
0.2 × 0.2 × 0.2 × y⁷× y⁷× y⁷
(0.2 × y⁷)³
The above expression is a cube of a monomial in standard form
(−3xy²)³· (− 2/3x²y³)⁴
We have to write the given expression as a monomial in standard form
(−3xy²)³· (− 2/3x²y³)⁴
(−3x)³(y²)³· (− 2/3x²)⁴(y³)⁴
x³y⁶· 16/3x⁸y¹²
(16/3)x³⁺⁸y⁶⁺¹²
(16/3)x¹¹y¹⁸
The above expression is a monomial in standard form.
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Penny joined a yoga studio that charges a $25 membership fee and $45 each month. Assume y = total cost and x = number of months.
Answers
Answer:
y=45x+25
y = total cost and x = number of months.
I forgot how to do this anyone help?
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Answer:
Basically it has to pass through 2 (I think) and the y-intercept is -3
Step-by-step explanation:
Answer:
go to the 2 (on the x axis) then go down 3 then click it to put the dot but sorry if its wrong
Step-by-step explanation:
Write this ratio as a fraction in simplest form without any units.
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Daniel is looking at two different credit card offers. Credit Card A will give him an APR of 22.45%. Credit Card B will offer will be 1.25% each month. Which the better deal?
Answers
Answer:
Credit card B is a better deal
Step-by-step explanation:
in order to compare both credit cards, we must either convert the APR into a monthly rate or the monthly rate to APR.
convert credit card A's APR to monthly rate:
= 22.45% / 12 ≈ 1.87%, which is higher than 1.25%, so credit card B is better
OR
convert credit card B's monthly rate to APR:
= 1.25% x 12 = 15%, which is lower than 22.45%, so credit card B is better
Write an equation in slope-intercept form for the line that passes through (8,1) and (4,3)
Answers
Answer:
y= -1/2x+5
Step-by-step explanation:
u just have to use the y=mx+b form and youll be good
Why would you need inequalities?
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Answer:
An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.
Step-by-step explanation:
y=1/4 x y=4x-5 parallel perpendicular neither
Answers
Answer:
Neither.
Step-by-step explanation:
The slope for the first one is 1/4 and the slope for the second one is 4. These are reciprocals, but not opposite reciprocals, meaning they are not perpendicular. An opposite reciprocal means the fraction is flipped (ex. 3/1 to 1/3) and the sign is changed. The line parallel to y=1/4x would be y= -4x.
Answer:
Neither
Step-by-step explanation:
An exterior angle of a triangle has a measure of 80°, and one of the remote interior angles has a measure of 20°. Write and solve an
equation to find the measure of the other remote interior angle.
Enter the correct answers in the boxes.
Equation:
X=
Answers
Your answer would be 0.6, 3/5, and 6% are the 3 same portion. But, when they're all changed to a decimal they would equal to 0.6.
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
The exterior angle is equal to the sum of the interior angles in a given triangle.
The measure of the other remote interior angle is 60°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Let the measure of the other interior angle = M
The exterior angle is equal to the sum of the interior angles in a given triangle.
An exterior angle of a triangle has a measure of 80°, and one of the remote interior angles has a measure of 20°.
This means,
M + 20 = 80
Solve for M.
M + 20 = 80
Subtract 20 on both sides.
M = 80 - 20
M = 60
Thus,
The measure of the other remote interior angle is 60°.
Learn more about triangles here:
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Answer:
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Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
5 x + 3 = 4 x
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Answer:
fog=f[g(x)]
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ILL MARK U BRAINLIEST!!
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Answer:
irrigation
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Irrigation is the process of applying controlled amounts of water to plants at needed intervals. Irrigation helps to grow agricultural crops, maintain landscapes, and revegetate disturbed soils in dry areas and during periods of less than average rainfall.
These questions down below are a bit confusing for me, if someone would help me with them I would be absolutely grateful thank you so much
Answers
2.) honestly not sure
3.) $540
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there is a daily fee for renting a moving truck, plus a charge $0.50 per mile driven. it costs $64 to rent the truck on a day when it is driven 48 miles. Which linear equation can be used to model this situation?
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Answer:
Let x be the daily fee
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24 + x = 64
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Answer:
0.084
Step-by-step explanation:
0.42 * 0.2 = 0.084
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Answer:
4 and 7
Step-by-step explanation:
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Enter your answer in the box. Use the keyboard to create the correct symbol needed.
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Step-by-step explanation:
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Step-by-step explanation:
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you can solve it
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Answer:
y=3/4x+3
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
sin theta = opp / hyp
sin theta × hyp = opp
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
ab(b−1)
Step-by-step explanation:
Factor ab out of ab ^2 − ab
