Answer:
The slope is 0
Step-by-step explanation:
Plot point F so that △ABC ≅ △FGH. Identify a sequence of rigid motions that maps △ABC onto △FGH and use a theorem to complete the explanation of why the triangles are congruent.
Answer:
Step-by-step explanation:
Point F is plotted at (5, 4)
Translate ΔABC so that point B maps to point G.
B(1, -1) → G(0, 3)
Rule for the translation,
(x, y) → [x - 1, y + 4]
By this rule,
Point C will map the point,
C(-1, -2) → C'[(-1 - 1), (-2 + 4)]
→ C'(-2, 2)
A(-4, 0) → A'[(-4 - 1), (0 + 4)]
→ A'(-5, 4)
Now reflect these points across y-axis.
Rule for the reflection across y-axis,
(x, y) → (-x, y)
Points after reflection will be,
A'(-5, 4) → F(5, 4)
B'(0, 3) → G(0, 3)
C'(-2, 2) → H(2, 2)
Distance formula,
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
AB = [tex]\sqrt{(1+4)^2+(-1-0)^2}[/tex] = [tex]\sqrt{26}[/tex]
BC = [tex]\sqrt{(-2+1)^2+(-1-1)^2}[/tex] = [tex]\sqrt{5}[/tex]
CA = [tex]\sqrt{(-4+1)^2+(-2-0)^2}[/tex] = [tex]\sqrt{13}[/tex]
FG = [tex]\sqrt{(5-0)^2+(4-3)^2} =\sqrt{26}[/tex]
GH = [tex]\sqrt{(2-0)^2+(2-3)^2}=\sqrt{5}[/tex]
HF = [tex]\sqrt{(4-2)^2+(5-2)^2}=\sqrt{13}[/tex]
AB ≅ FG, BC ≅ GH, CA ≅ HF
By the SSS property Triangle congruence theorem, ΔABC ≅ ΔFGH
some please help with this!!
Answer:
h. x=11
i. x=4 1/6 (1/6 is a fraction)
k. x=-8
l. x= 3 1/2 (1/2 is a fractio)
Step-by-step explanation:
Analyzing a System
Solve the system of inequalities.
x² - gpg
v> 2
Which describe the solution set of the given system?
Check all that apply
The solution set is unbounded.
The point (1, 0) is in the solution set.
There is one point of intersection of the boundary
curves
The boundaries of the overlapping region are in the
solution set.
The boundary curves intersect at approximately
(-3,0).
Answer:
A, C, E
Step-by-step explanation:
took the assignment on edge
Answer:
a , c and e
Step-by-step explanation:
got it right on edg ^u^
Which statement best describes the graph of 2c - 5y=-25 and the graph of y= +5?
Answer:
To easily compare the two linear equations just by looking at the equation, let's rearrange this into the slope-intercept formula: y = mx + b, where m is the slope and b is the y-intercept.
2x - 5y = -25
(-5y = -25x - 2x)-1
5y = 25/5 +2x/5
y = (2/5)x + 5
Thus, the slope is 2/5 and the y-intercept is 5.
y=52x + 5
The slope is 52 and the y-intercept is 5.
Thus, we can say that the two linear equations have the same y-intercept. This is the point in the y=-axis in which the two lines intersect. They must intersect at (0,5).
Step-by-step explanation:
In a basketball game, LeBron and Shaq combined to score 72 points. If LeBron scored three times as many points as Shaq, how many points did each player score?
Answer:
Lebron = 24
Shaq = 0
Step-by-step explanation:
x = LeBron
y = Shaq
3(24) + 0 = 72
Algebra II
Find the product (multiply).
answer:
Answer:
3 m^3 - 26 m^2 + 45 m - 70
Step-by-step explanation:
Applying distributive property we get:
3 m^3 - 5 m^2 + 10 m - 21 m^2 + 35m - 70
combining like terms:
3 m^3 - 26 m^2 + 45 m - 70
Hey guys I need help. Care to be kind? :(
9514 1404 393
Answer:
$77.94
Step-by-step explanation:
The (signed) sum of charges and credits results in the total due:
$82.04 -4.10 = $77.94 . . . amount due
What is the missing expression that would make the left-hand-side of the equation equal to the right-hand-side?
[tex]\frac{???}{x-2}/\frac{x^{2}-1 }{x^{2} -4x+4} =\frac{5(x-2)}{x-1}[/tex]
Given:
The equation is
[tex]\dfrac{???}{x-2}/\dfrac{x^2-1}{x^2-4x+4}=\dfrac{5(x-2)}{x-1}[/tex]
To find:
The missing value.
Solution:
Let the missing value be k.
[tex]\dfrac{k}{x-2}/\dfrac{x^2-1}{x^2-4x+4}=\dfrac{5(x-2)}{x-1}[/tex]
[tex]\dfrac{k}{x-2}\times \dfrac{x^2-2(x)(2)+2^2}{x^2-1^2}=\dfrac{5(x-2)}{x-1}[/tex]
Using the formulae [tex](a-b)^2=a^2-2ab+b^2[/tex] and [tex](a-b)(a+b)=a^2-b^2[/tex].
[tex]\dfrac{k}{x-2}\times \dfrac{(x-2)^2}{(x-1)(x+1)}=\dfrac{5(x-2)}{x-1}[/tex]
[tex]\dfrac{k(x-2)}{(x-1)(x+1)}=\dfrac{5(x-2)}{x-1}[/tex]
Cancel out the common factors from both sides.
[tex]\dfrac{k}{x+1}=5[/tex]
Multiply both sides by (x+1).
[tex]k=5(x+1)[/tex]
Therefore, the missing value is 5(x+1).
Mason made 3/4 of a pound of trail mix. If he puts 3/8 of a pound into each bag, how many bags can Mason fill?
A. half of a bag
B. 3 bags
C. 4 bags
D. 2 bags
Answer:
3/4^ 8/3= 24/12= 2 so d.2bags
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Un bombardeo pica, formando ángulo de 53o con la vertical, y abandona una bomba a una altura de 2400 pies. Se observa que el proyectil llega al suelo 5 segundos después de
find the slope and y-intercept of the line
y = -4x-5
Answer:
The slope is -4
The y-int is -5
Step-by-step explanation:
The slope intercept form is structured as:
y= mx + b
Being m is the slope and b is the y-intercept.
4+(8/(8-7)+6-12)x10)
The answer is 24, hopes this helps!
Paul is a married taxpayer and claims 2 withholding allowances. He earns $575 per week. He estimates that he will spend $50 each week in qualified expenses. If he participates in his employer's cafeteria plan and has the $50 per week deducted from his wages before taxes, how much will he save in one year of working in federal income and FICA taxes?
Answer:
i need help too
Step-by-step explanation:
...
What is a single discount rate and how does it apply to chain discounts?
Answer:
Single discount rates are one off discounts which are given by seller on certain products with certain conditions which most be met for it to apply such conditions can be for buyers who pay in cash, buyers who buy in bulks e.g buy 10 get one free, or for every 5 bought you get a 5% discount e.t.c.
This is related to chain discount because its also a series of discount which is allowed for list price of products or services.
(8,3) (5,6) what is slope??
Answer:
-1
Step-by-step explanation:
To multiply two numbers using scientific notation, you would ____ the exponents.
Answer:
add
Step-by-step explanation:
Answer:
Add
Step-by-step explanation:
To multiply numbers written in scientific notation, first multiply the coefficients and then add the exponents.
See if that helps.
The orange shape is a dilation of the black shape. What is the scale factor of the dilation?1/10 1/2 10 2
Answer:
Scale = ¼
Step-by-step explanation:
See attachment for complete question.
In the attached, we have.
Width = 4 units. ----- Orange
Width = 16 units ------- Black
Required
Determine the scale of dilation
The scale of dilation can be calculated as:
Scale = Width(orange)/Width (black)
Scale = 4/16
Scale = ¼
Hence, the scale of dilation is ¼
What is the perimeter of the composite figure? Round to the nearest tenth
Answer:
123.8 units
Step-by-step explanation:
The vertices of the polygon has been labelled ABCDEF, as shown in the diagram attached below.
Perimeter of the Polygon = [tex] \overline{AB} + \overline{BC} + \overline{CD} + \overline{DE} + \overline{EF} + \overline{FA} [/tex]
[tex] \overline{AB} [/tex] = |-12 - 24| = |-36| = 36 units
[tex] \overline{BC} [/tex]: calculate the distance between B(24, 16) and C(15, 3) using the distance formula.
[tex] \overline{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] \overline{BC} = \sqrt{(24 - 15)^2 + (16 - 3)^2} [/tex]
[tex] \overline{BC} = \sqrt{(9)^2 + (13)^2} [/tex]
[tex] \overline{BC} = \sqrt{81 + 169} = \sqrt{250} [/tex]
[tex] \overline{BC} = 15.8 units [/tex]
[tex] \overline{CD} [/tex] = |6 - 15| = |-9| = 9 units
[tex] \overline{DE} [/tex] = |3 -(-12)| = |-15| = 15 units
[tex] \overline{EF} [/tex] = |-12 - 6| = |-18| = 18 units
[tex] \overline{FA} [/tex] = |18 -(-12)| = 30 units
Perimeter = 36 + 15.8 + 9 + 15 + 18 + 30 = 123.8 units
List 5 significant advances in architecture Eastern Indians made
Answer:
Primarily, the Indian temple architecture has been classified into three broad types, namely; Nagara or the northern style, Vesara or mixed style, and the Dravida which is the southern style. All these styles carry their unique regional influences and lineages.
Step-by-step explanation:
Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________
Answer: $15,660 & 32 v.c
Step-by-step explanation:
What is the equation of the line that passes through the point (-4, 2) and has a
slope of -5/4
quanto é (a+b) elevado a 3 --(b-c) elevado a 3???
Vamos escrever.
(a.b)³. b.(b.c)² =
a³.b³.b. b².c² =
a³b^6.c² ( forma simplificada)
which function has the same domain as y=2_/x?
Answer:
A. y = square root of 2x
We are given the function
y = 2 √x
We are asked for the function that has the same domain as the given function
First, the domain for the given function is this
{ x | x ≥ 0 }
So, any function that has a domain of x that is equal to or greater than 0. Some examples:
f(x) = √x - 2
f(x) = 5 √x
Please help.. I’m stuck on this question
Answer: The answer is 1
Step-by-step explanation: The distance between -7 and -3 is 4 then half the distance in between -7 and -3 is going to be -5 because we just clarified that the distance between -7 and -3 is 4 so we did 4/2 and got 2 so we can figure out whats the distance between each point. Now that we figured that out we can determine what value the blue dot is if the value between each point is 2 then we can make out what the rest of the points on the line. If we from -3 to the blue point that would be 1.
∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 7 x − 8 ) ∘ ∠A=(7x−8) ∘ and m ∠ B = ( 6 x + 17 ) ∘ ∠B=(6x+17) ∘ , then find the value of x.
Answer:
it adds up to 180º so i think you have to do the varibles that are on the same side and see what you get and then do -8 +17 then you sub or add from 180 then you get your answer
Step-by-step explanation:
The value of x for the given vertical angles is given as 25.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
The pair of vertical angles are given as below,
∠A = (7x - 8)° and ∠B = (6x + 17)°.
Since, pair of vertically opposite angles are equal.
It implies that ∠A = ∠B.
⇒ 7x - 8 = 6x + 17
⇒ 7x - 6x = 17 + 8
⇒ x = 25
Hence, the value of x can be obtained as 25.
To know more about linear equation click on,
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Write an equation in slope-intercept form of the line that passes through (4, 6) and (9,2)
Answer:
m=0
b=-9
Step-by-step explanation:
Slope is equal to the change in
y
over the change in
x
, or rise over run.
m
=
change in y
change in x
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
Substitute in the values of
x
and
y
into the equation to find the slope.
m
=
−
9
−
(
−
9
)
2
−
(
−
4
)
The equation of the line is equal to y=-5x/4 +c
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here: The given line passes through (4,6) and (9,2)
We know the slope intercept form is given by
y=mx+c
putting (4,6) in the equation we get
6=4m+c
Again substituting (9,2) in the equation we get
2=9m+c
Thus solving this two equations we get the value of m=-5/4 and c=11
Hence, The equation of the line is equal to y=-5x/4 +c
Learn more about the slope intercept form here:
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Graph. f(x) = |2x+2| - 1
Answer:
I included the graph for you, hope this helps!
Step-by-step explanation:
Susan has two pieces of ribbon, one 18 inches long and the other 12 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them? PLEASE HURRY IM TAKING A TIMED TEST!!
Answer:
I'm pretty sure its 12 inches
Step-by-step explanation:
Find the slope plus extra pts
Answer:
The Slope is -4
m = -4
Step-by-step explanation:
Hopefully this Helps! If this wasn't the answer you were looking for please don't hesitate to either comment here or private message me! Have a nice day/night! :))
The integrity of financial statement presentations and disclosures is enhanced when
a) The financial statements are audited by a CPA.
b) The financial statements are prepared in an environment that includes a strong system of internal control.
c) The financial statement preparers have the appropriate education and experience necessary.
d) All of the above.
Answer:
All of the above
Step-by-step explanation:
In this question, we want to select which of the options can enhance the integrity of financial statements preparations and disclosure.
The correct answer is the last option which is all of the above
The last option is correct because each of the individual options above it will enhance the integrity.
A financial statement with integrity is one which is audited by the CPA, prepared in an environment with strict interval control and overall the people who are in charge of preparing it are experienced people