=======================================================
Explanation:
Your teacher wants you to use the angle-angle-side congruence theorem, which abbreviates to AAS. Note in the diagram that we have two pairs of angles marked.
Angle P = Angle U (double arcs)Angle Q = Angle S (single arcs)So we have the info about the angles being congruent, and that takes care of the two "A"s in AAS.
We just need a pair of sides to be congruent. Specifically, we need the pair of sides that are not between the angles mentioned for either triangle. If we went for this option, then we'd go for ASA instead of AAS. The order is important.
So we have two possible answers
PR = UTQR = STIf either of those were given to us, then we can use the AAS theorem. Unfortunately PR = UT isn't listed, but QR = ST is listed. So this is why choice B is the answer.
Side note: Both QR and ST are opposite the double arc angle.
Answer:
QR≅ST
Step-by-step explanation:
With AAS congruence, you need 2 angles and a non-included side. On ΔPQR, that could be either PR or QR. PQ is the included side as it is between the angles, and therefore cant be used for this congruence theorem.
As said above, it can be either PR or QR, but it has to be QR in this case as there is no answer option for PR.
On the other triangle, the corresponding side is ST. ∠S and ∠Q are corresponding, and US is the included side, so that leaves only ST.
Finally, the information you need to prove that the triangles are congruent is QR≅ST.
Explain how you can multiply to find equivalent fractions
Answer:
One example for an equivalent fraction would be 2/5 = 4/10
Step-by-step explanation:
It is equivalent because in both the denominator and the numerator you multiply by 2 which means that if you would divide 4/10 by 2 top and bottom, you would get 2/5. If you were to but these fractions on a number line; one on top of the other; they would equally have one under the other.
*** I hope this helps (brainly if possible)
Read and analyze the following. Write the correct answer.
1. What is a way of comparing two or more quantities?
2. What is the statement of equality between two ratio? Write a ratio of the following:
3. ?
4. ?
5. Compare the number of balloons to party hats. 三
6. Express the ratio in its simplest form the given figure in number 4. 7. Express the given ratio of four one-peso coins to Php80.00 coins in its simplest form using colon form. answer it with solution pls
Ratios are simply used to compare two or more related quantities
(a) Comparing quantities
To compare quantities, we make use of ratios.
Hence, a way to compare two or more quantities is by using ratio
(b) Statement of equality between ratios
When two or more ratios are equal, the ratios are said to be equivalent ratios
Hence, the statement of equality between ratios is equivalent ratios
(c) Express (3) and (4) as ratios
There are 10 stars and 8 crosses.
So, the ratio is 10 : 8
There are 3 toys and 9 books.
So, the ratio is 3 : 9
(d) Compare balloons and party hats
There are 12 balloons and 18 party hats.
So, the ratio is 12 : 18
Reduce the ratio as follows:
12 : 18 = 2 : 3 ---- this is done by dividing 12 and 18 by 6
So, the comparison is:
There are 2 balloons for every 3 party hats
(e) Simplify (4)
In (4), we have:
Ratio = 3 : 9
Divide by 3
Ratio = 1 : 3
Hence, the simplified ratio is 1 3
(f) Express the currency ratio in its simplest form
The ratio is given as:
Ratio = 4 * 1 peso coin : Php80.00 coin
Evaluate the product
Ratio = 4 peso coin : Php80.00 coin
Divide both sides by 4
Ratio = 1 peso coin : Php20.00 coin
Hence, the simplest form of the ratio is 1 : 20
Read more about ratios at:
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I need the solution urgently plz help me with the question I will mark you brainleist
Answer:
This is the answer thanks me later
Write an equation in slope-intercept form of the line shown.
Complete the statement based on the following information.
9514 1404 393
Answer:
(c) ΔTRS
Step-by-step explanation:
Perhaps the easiest way to find corresponding vertices is to look at the angle markings:
1 mark: angles J and T
2 marks: angles K and R
3 marks: angles I and S
Then, in order of corresponding angles, we have ...
ΔJKI ≅ ΔTRS
Molly needs to rent a car while on vacation. The rental company charges $19.95, plus 17 cents for each mile driven. If Molly only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
Usually a company may charge a startup fee, is a charge for some things they need to do to start the service, in this case may just be paperwork, and it's $19.95, a fixed cost, and they're charging 17 cents or $0.17 for every mile driven, let's say that Molly is going to drive "m" miles, so the cost equation in "m" terms will be C(m) = 19.95 + 0.17m.
Now, we know she only has 40 bucks to spend, so, if she can keep her Cost to 40 bucks, how many miles can she go for?
[tex]C(m) = 19.95+0.17m\qquad \qquad \stackrel{\stackrel{cost}{\downarrow }}{40}=19.95+0.17m\implies 20.05=0.17m \\\\\\ \cfrac{20.05}{0.17}=m\implies 117.94\approx m[/tex]
now, if we were to round that up to whole miles, it'd be only 117.
-6x + 30 < -18. Help pls
Hello, hope you are having a splendid day.
-6x+30<-18
First, move all the numbers to the right, using the opposite operation:
-6x<-18-30
-6x<-48
Divide both sides by -6:
x>8
Now, if we divide both sides by a negative variable, we change the inequlaity sign.
Hope it helps.
Ask me if you have any queries.
[tex]MagicalNature[/tex]
Good luck.
Answer:
[tex]\boxed{\boxed{\sf x>8}}[/tex]
Step-by-step explanation:
[tex]\sf -6x\:+\:30\:<\:-18[/tex]
Subtract 30 from both sides:
[tex]\sf -6x+30-30<-18-30[/tex][tex]\sf -6x<-48[/tex]Multiply both sides by -1 :
[tex]\sf \left(-6x\right)\left(-1\right)>\left(-48\right)\left(-1\right)[/tex][tex]\sf 6x>48[/tex]Divide both sides by 6:
[tex]\sf \cfrac{6x}{6}>\cfrac{48}{6}[/tex][tex]\sf x>8[/tex]___________________________________
For constant term: f(a,b,g(t)), pattern term: f(a,Y,X) when pattern matching we can use the following assignment Y=b and X=g(t) to make the two terms match.
Note: A variable in the pattern is allowed to match anything in the other structure.
What do the uppercase letters X,Y represent?
Answer:
fuctions and constants
Step-by-step explanation:
please mark as brainliest if it helped :D
Keisha is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $100 and allows unlimited mileage.
Company B has an initial fee of $55 and charges an additional $0.90 for every mile driven.
For what mileages will Company A charge less than Company B?
Answer:
The mileages for which company A charge less than company B when , y 50 .
Step-by-step explanation:
Given as :
The two truck companies have following prices
Company A
The initial fee = i = $110
And unlimited mileage
Company B
The initial fee = I = $65
Additional charge = $0.90 per mile driven
Let it driven x mile
Let The mileages for which company A charge less than company B = y
Now, According to question
Charges of company A = charges of company B
i.e i = I + 0.90 × x
Or, $110 = $65 + 0.90 × x
Or, $110 - $65 = 0.90 × x
Or, $45 = 0.90 × x
∴ x =
i.e x = 50
i.e. Company B driven x = 50 miles
So, the mileages for which company A charge less than company B = y
And y x
i.e. y 50
Hence, The mileages for which company A charge less than company B when, y 50. Answer
Step-by-step explanation:
Hope this helps:)
due in an hour please help!!! :(
Answer:
Step-by-step explanation:
1,7 are same side exterior
1,8 alternate exterior
2,4 none
3,5 same side int
2,6 corrosponding
4,6 same side int
4,7 is none
5,4 alternate int
8,5 vertical
8,7 alternate exterior
65 trees in town park..38 are apple. How many oak
Answer:
27 oak trees
Step-by-step explanation:
B. DIRECTION: Read and analyze each problem. Give the best answer you can give in order to solve the problem
1. what is asked in the problem?____________________
2. What operation are you going to use to slove the problem?________
3. Show your solution___________________
Answer:
1: How much longer did he run than walk.
2: Subtraction
3: 1/8 hour
Step-by-step explanation:
1: The last sentence says what is being asked.
2: We want to see how much longer something is so it is subtraction.
3: 3/4 = 6/8 7/8 - 6/8 = 1/8
Find the equation of the line given the following
Answer:
1. y = -10x + 6
2. y = -x - 6
3. y = 13x + 110
4. y = -5x + 47
5. y = 7/4 x -7
Step-by-step explanation:
2. m = - 1 and Y-intercept: -20 - (- 1)(14) = -6
3. m = 13 and Y-intercept: -7 - (13)(- 9) = 110
4. (10,-3) and (7,12)
Slope = (12 - - 3)(7- 10) = 15/-3 = -5
y- intercept = 12 - (-5)(7) = 47
5. (4,0) and (0, -7)
Slope: (-7-0)/(0-4) = -7/-4 = 7/4
y-intercept: -7 - 7/4)(0) = -7
can somebody help me with my language arts please???
Answer:
yes!
Step-by-step explanation:
Solve: y = -7(-13).
solve y
Answer:
y = 91
Step-by-step explanation:
y = -7(-13)
=> y = 7(13)
=> y = 91
Max and Toni’s flower bed is rectangular in shape. The length of the garden is 4 feet more than its width and the area of the flower bed is 96 square feet. If x represents the width of the flower bed, find the length and width of the old flower bed. Solve the quadratic equation using the quadratic formula. (20 points)
Answer: Width = 8ft, Length = 12 ft
Step-by-step explanation:
irst, let'Fs express the width of the garden as w (the unknown that we are trying to solve), since the length is 4 feet longer than it's width, we can express this as 4+w. Since the flowerbed is rectangular, the formula for the area is A=lw where l is it's length and w is it's width, replacing l with 4+w, then replace A for 96 sq.ft and we can begin solving for the unknown w. Multiplying 4+w and w, using the distributive property where a(b+c)=ab+ac, we will wind up with w^2 + 4w = 96, subtracting 96 and moving it to the other side, we end up with w^2 + 4w -96 = 0, now let's use the quadratic formula for the x intercepts where [tex]x = \frac{-b +/- \sqrt{b^2-4ac}}{2a}[/tex] , remember the quadratic equation has the form [tex]ax^2+bx+c[/tex], therefore our a value is 1, our b value is 4, and our c value is -96 (remember to put that negative!), we will get 2 answers, 8 and -12, a negative width is unreasonable and so 8 is the correct width, and since the length is 4 extra feet, this makes the length 12 feet for a total area of 96 feet. hope this helps! Its helpful to draw and visualize the problem!
When a system of two linear inequalities in two variables has
boundary lines that are parallel, then this is NOT possible:
A) the entire plane is a solution
B) there is a single point of solution
C) there is a region with an infinite number of points of solution
D) no solution
Answer:
B) there is a single point of solution
Step-by-step explanation:
If the boundary lines are parallel, the solution space will be outside the lines (no solution), inside the lines (infinite solutions), or on one side of the lines (infinite solutions.) It is not possible for two half-planes with parallel edges to overlap at a single point.
PLEASE HELP WITH THE FOLLOWING
Answer:
2a:
[tex]a^6+\frac{64}{125} =(a^2)^3+(\sqrt[3]{\frac{64}{125} })^3[/tex]
Now, we can apply the sum of cubes formula that goes:
[tex]x^3+y^3=(x+y)(x^2-xy+y^2)[/tex]
Therefore,
[tex](a^2)^3+(\sqrt[3]{\frac{64}{125} })^3=(a^2+\frac{4}{5})(a^4-\frac{4a^2}{5}+(\frac{4}{5} )^2)[/tex]
[tex]=(a^2+\frac{4}{5})(a^4-\frac{4a^2}{5}+\frac{16}{25} )[/tex]
---------------------------------------------
2b:
[tex]16x^8-y^4=(4x^4)^2-(y^2)^2[/tex]
Now, we can apply the difference of two squares formula that goes:
[tex]x^2-y^2=(x+y)(x-y)[/tex]
Therefore,
[tex](4x^4)^2-(y^2)^2=(4x^4+y^2)(4x^4-y^2)[/tex]
You can apply the difference of two squares formula again:
[tex](4x^4+y^2)(4x^4-y^2)=(4x^4+y^2)((2x^2)^2-y^2)[/tex]
[tex](4x^4+y^2)(4x^4-y^2)=(4x^4+y^2)(2x^2+y)(2x^2-y)[/tex]
The larger of 2 numbers is 2 more than five times the smaller number. if the sum of the two numbers is 80, find both numbers
Answer:
The larger number is 67 and the smaller number is 13
Step-by-step explanation:
y=5x+2
x+y=80
-5x+y=2
6x=78
x=13
y=65+2
y=67
Four bags of Puppy Chow dog food weighs 142 pounds. What is the weight, in pounds, of one bag of Puppy Chow dog food?
Answer:
Is 35.5
Step-by-step explanation:
Pls give brainliest
Answer:
35.5 Lbs.
Step-by-step explanation:
You would just take 142 and divide that by 4 and you will get the weight of 1 bag. It would be 35.5 pounds.
0.5 ÷ 10.2 If you solve this, can you show the steps of this equation?
Answer:
0.5/ 10.2
Well its basically
Well first you gotta make sure the 10.2 is a whole number in order to divide
so we can multiply by 10
that turns it into 102
Now what we do do 10.2 we do to 0.5 to make it equal which makes0.5*10=5
Now its easier so its 5/102
Now we just divide normally
*assuming its rounded to the nearest hundredths
0.05
how do you simplify 18x⁶/27x⁴
Answer:
2x^2/3
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Can anyone help me with this equation? I need to show the work
Simplify the expression (5-4i) (-3 - 4i) – (10-3i)
Answer:
[tex]-5i-41[/tex]
Step-by-step explanation:
Hi there!
[tex](5-4i) (-3 - 4i) - (10-3i)[/tex]
Open up the parentheses
[tex]= -15-20i+12i+16i^2- 10+3i[/tex]
i² = -1
[tex]= -15-20i+12i-16- 10+3i[/tex]
Combine like terms
[tex]= -5i-41[/tex]
I hope this helps!
what are the solutions to the system
[tex]10+y=5x+x^2~~~~.....(i)\\\\5x+y =1~~~....(ii)\\\\\text{From (i):}\\\\10+y = 5x +x ^2\\\\\\\implies y = 5x +x ^2 -10\\\\\text{Substitute y in equation (ii):}\\\\5x+5x+x^2-10=1\\\\\implies x^2 + 10x -11 =0\\\\\implies x^2 +11x -x -11=0\\\\\implies x(x+11) -(x+11) =0\\\\\implies (x-1)(x+11) =0\\\\\implies x =1 ~~ \text{or}~~ x = -11\\\\\text{Substitute x =~1 in equation (ii):}\\ \\5+y =1 \implies y =-4[/tex]
[tex]\\\text{Substitute}~ x =-11~ \text{in equation (ii):}\\\\\ 5(-11) + y = 1 \implies y = 1 +55 = 56 \\\\\text{Hence} (x,y) = (-11,56) ~~\text{and}~~ (x,y)=(1,-4)[/tex]
Help show work please.
Answer:
X = 7/3y - 10/3
Step-by-step explanation:
Add - 7y to both sides = -3x + 7y = 10 - 7y
= -3x = 10 - 7y
Divide both sides by -3
-3x/-3 = 10/-3 - 7y/-3
x = 7/3y - 10/3
3. Put your straightedge along this line. Draw this line as long as you can.
Why can't you make it longer?
The answer is 26 trust me I will be ur friend
Given the triangle below, find the value of x
Answer:
I think it is b I’m not quite sure though. Sorry if wrong…
Step-by-step explanation:
positive and negative relationships are both examples of linear relationships
A. True
B false
Answer: A. True.
Step-by-step explanation:
A relationship is linear when the points on a scatterplot follow a somewhat straight line pattern. This is the relationship that we will examine. Linear relationships can be either positive or negative. Positive relationships have points that incline upwards to the right. As x values increase, y values increase.
Let f(y) = y^4 - 3y^3 + y - 3 and g(y) = y^3 + 7y^2 - 2. Find f(y) + g(y). Write your answer as a polynomial with terms of decreasing degree.
Work Shown:
h(y) = f(y) + g(y)
h(y) = (y^4 - 3y^3 + y - 3) + (y^3 + 7y^2 - 2)
h(y) = y^4 - 3y^3 + y - 3 + y^3 + 7y^2 - 2
h(y) = y^4 + (-3y^3+y^3) + 7y^2 + y + (-3 - 2)
h(y) = y^4 - 2y^3 + 7y^2 + y - 5
This is a fourth degree polynomial (aka quartic).
Write a related function for –6x + 8x – 5 = 3.
Answer:
Answer:
x=4
Step-by-step explanation:6x+8x=2x
5+3=8 (when you move a number to the other side of an equals sign, it changes its value)
2x=8
2x/2 and 8/2
x=4
The related function for –6x + 8x – 5 = 3 is;
x = 4
Algebraic ExpressionsWe are given the equation;
–6x + 8x – 5 = 3
Let us simplify the numbers that have the variable x first. Thus;
–6x + 8x – 5 = 3 gives;
8x - 6x - 5 = 3
>> 2x - 5 = 3
Use addition property of equality to add 5 to both sides;
2x - 5 + 5 = 3 + 5
>> 2x = 8
Use division property of equality to divide both sides by 2 to get;
x = 8/2
Thus;
x = 4
Read more about algebra expressions at; https://brainly.com/question/4344214