state what additional information is required in order to know that the triangles are congruent by AAS
Answers
Answer:
The last one
Step-by-step explanation:
Since we already know an angle and a safe are equal we just need one more pair of corresponding angles
Answer:
the fourth one.
Step-by-step explanation:
that is angle vut is greater than or equal to angle ktu or angle utv is greater than or equal to angle tuk.
Related Questions
What is the area of a rectangle that is 5 meters long and 8 meters wide? 40 m 2 26 m 2 35 m 2 13 m 2
Answers
Answer:
The area of the 5m by 8m is 40 I don't know what you want with the other numbers but this is for the sentence
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Did da test
Can some one please do this question?
Answers
Answer: a number added to three then reduced by 2
Step-by-step explanation:
3+1= 4
4-2=2
There are three types of tickets to enter the amusement park of a particular city. The normal ticket costs R $ 52.00, the child ticket costs R $ 20.00 and the elderly ticket costs R $ 28.00. A group of friends went to the park and paid in total R $ 480.00. In this group, each adult (normal or senior) took two children. How many normal tickets purchased?
Answers
Answer:
3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children
Step-by-step explanation:
Let x = normal ticket number
Let y = child ticket number
Let z = elderly ticket number
The total amount spent is 480, so we can create this equation:
52 * x + 20 * y + 28 * z = 480
They also tell us that each adult took two children, so:
y = 2 * (x + z)
We have two equations and three unknowns, therefore we must simplify and do trial and error. First, let's substitute "y" in terms of "x" and "z" in the first equation, then simplify:
52 * x + 20 * y + 28 * z = 480
52 * x + 20 * 2 * (x + z) + 28 * z = 480
52 * x + 40 * (x + z) + 28 * z = 480
52 * x + 40 * x + 40 * z + 28 * z = 480
92 * x + 68 * z = 480
23 * x + 17 * z = 120
Let's solve for x in terms of e:
23 * x = 120-17 * z
x = (120-17 * z) / 23
We know that (120 - 17 * z) has to be a multiple of 23 for "x" to be an integer. So let's look at testing some values of "z" to make valid values for "x":
120-17 (0) = 120 (not multiple of 23)
120-17 (1) = 103 (not multiple of 23)
120-17 (2) = 86 (not multiple of 23)
120-17 (3) = 69 (multiple of 23)
120-17 (4) = 52 (not multiple of 23)
120-17 (5) = 35 (not multiple of 23)
120-17 (6) = 18 (not multiple of 23)
120-17 (7) = 1 (not multiple of 23)
After that, we get negative values for "x", so here there is only one possible value for "x", so we know that z = 3:
Now we can solve for "x" and "y":
x = (120-17 * 3) / 23
x = (120-51) / 23
x = 69/23
x = 3
Now for and:
y = 2 * (x + y)
y = 2 (3 + 3)
y = 12
Therefore, 3 normal tickets were sold, 3 tickets were sold for the elderly, and 12 tickets were sold for children.
Suppose that a storm front is traveling at 33 mph. When the storm is 13 miles away a storm chasing van starts pursuing an average speed of 54 mph. How long does it take for the van to catch up with the storm? How far have they driven? (Hint: we can let our two variables be x= distance and t= time. Additionally, [speed x time= distance]. Won't the van catch up when the distances are equal?
Answers
Answer:
It takes 0.619 hours (approximately 37 minutes) for the van to catch up with the storm.
They have driven 33.43 miles
They will catch up when their distances are equal.
Step-by-step explanation:
The speed of the van is 54 mph, and the speed of the storm is 33 mph. They are going in the same direction, so the relative speed is the difference of their speeds:
relative speed = 54 - 33 = 21 mph
Now, to find the time when the van reaches the storm, we just need to use the equation:
distance = speed * time
13 = 21 * t
t = 13 / 21 = 0.619 hours
The distance traveled by the van is:
distance = 54 * 0.619 = 33.43 miles
The van will catch up when the distances are equal (the distance of the storm is 13 + 33*0.619 = 33.43 miles)
1. Make sure your answers and work is SHOWN please and steps are in order.
2. List all of the possible rational roots.
3. Use synthetic division to test the possible rational roots and factor as far as possible.
4. Identify complex roots, if possible.
5. Sketch a graph of the function, please show:
a. the end behavior correctly
b. the shape of the near x-int
c. (if possible) anything you can learn by considering symmetry and transformations.
1a. p(x)- 2x^4-3x^3-6x^2+5x+6
2a. p(x)= x^4 + 4x^3 + 13x^2 + 36x + 36
3a. p(x)= 2x^5 - 9x^4 + 6x^3 + 22x^2 - 20x - 25
Answers
Been a while since I've done synthetic division.
1a. Let's assume that's supposed to be an equals sign
p(x) = 2x⁴ - 3x³ - 6x² + 5x + 6
possible rational roots have factors of 6 in the numerator and of 2 in the denominator. We'll only worry about negative numerators.
Factors of six: 1,2,3,6, and we don't forget -1,-2,-3,-6
Factors of 2: 1,2
Possible rational roots:
(dividing by 1:) 1,-1,2,-2,3,-3,6,-6
(dividing by 2:) 1/2, -1/2 (2/2=1 is a duplicate, don't have to repeat it), 3/2, -3/2
Possible rational roots: 1,-1,2,-2,3,-3,6,-6, 1/2, -1/2, 3/2, -3/2
Synthetic division, trying x=1,
1 | 2 -3 -6 5 6
2 -1 -7 -2
2 -1 -7 -2 4
Got a remainder of 4, so 1 isn't a root;
Trying x=-1
-1 | 2 -3 -6 5 6
-2 5 1 -6
2 -5 -1 6 0
Zero remainder, found a root, x=-1. This division says
(2x⁴ - 3x³ - 6x² + 5x + 6) / (x + 1) = 2x³ - 5x² - x + 6
Same set of rational roots on the cubic, we continue with x=2
2 | 2 -5 -1 6
4 -2 -6
2 -1 -3 0
Another zero remainder, x=2 is a root. We're left with 2x² - x - 3 = 0, which factors as
(2x - 3)(x + 1) = 0
That's a second factor of x+1. Our final factorization is
2x⁴ - 3x³ - 6x² + 5x + 6 = (x + 1)²(x-2)(2x - 3)
Fourth degree with a positive leading coefficient so goes to +infinity at both ends. Double zero at x=-1, so it's tangent there, just touching the x axis, then down through x=3/2 and up through x=2.
I'll leave the actually sketching and the other two polynomials to you -- that took some time.
URGENTE!
(Foto 1)Decomponha o radicando em fatores primos e calcule o valor de cada radical
(Foto 2)Calcule
Alguem responde pfvr tenho até hj de noite pra responder
Answers
Step-by-step explanation:
Do it yourself will be help ful
[tex]6113 {2x}^{2} [/tex]
Find the surface area of polyhedra
Pls!! show how you got the surface area
Answers
Answer:
52.48
Step-by-step explanation:
find the cross sectional area which is the triangle
triangle = 1/2 x 8.2 x 6.4 = 26.24
then, use the area to multiply by the extended length of 2
26.24 x 2 = 52.48
A box contains 4 black pens and 2 red pens. One pen is chosen at random, and then another pen is chosen at random without replacement. What is the probability a black pen was chosen, and then another black pen? *
Answers
Answer:
Probability is 2/5 or 40%.
Step-by-step explanation:
4/(4+2) = 4/6 = 2/3 first black pen is chosen.
3/5 - second pen is chosen without replacement.
2/3 *3/5= 2/5 - the probability a black pen was chosen, and then another black pen without replacement.
2/5*100 % = 40 %
When Jonathan bought 12 peaches and pears, at $1.50 per peach and
at $1.60 per pear, the total price was $18.50.
How many peaches and pears did he buy, respectively?
Fill in the blanks provided and solve for the answer.
Answers
Explanation: you will need to make two equations to represent the problem
X being for peaches and y for pears
x+y= 12
1.5x + 1.6y= 18.5
We are going to use the elimination method and so we need to cancel either x or y in this case x. So we multiple the top equation by -1.5
-1.5x - 1.5y = -18
1.5x + 1.6y = 18.5
Then we can cancel the x since they are opposite and we can add the rest
0.1y =0.5
Y= 5
Then we can substitute the y into one of the equations
x + 5= 12
x= 7
Josh mixed 2 cartons of orange juice, 3 bottles of soda waterland 6 cans of
cocktail fruits to make a fruit punch for the Christmas party. Each carton of
juice is 1 gallon and 3 quarts. Each soda water bottle contains quarts, The
cans of cocktail fruit are 2 pints each. How much (
measured in gallons) of
fruit punch did Josh made?
Answers
Answer:
9.5 gallons
Step-by-step explanation:
Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of
cocktail fruits to make a fruit punch.
Each carton of juice is 1 gallon and 3 quarts.
Therefore, 2 cartons will be:
2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts
1 quart = 0.25 gallon
6 quarts = 6 * 0.25 = 1.5 gallons
Therefore, Josh poured 3.5 gallons of orange juice.
Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.
Therefore, the number of gallons that the soda water bottle contains is:
3 * 6 * 0.25 = 4.5 gallons
The cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.
1 pint = 0.125 gallon
2 pints = 0.25 gallons
=> 6 cans of cocktail fruit is:
6 * 0.25 = 1.5 gallons
The amount of fruit punch that Josh made is the sum of all components:
3.5 + 4.5 + 1.5 = 9.5 gallons
Using the appropriate arithmetic operation, the total measure of the fruit punch in gallons is 9.5 Gallons
Recall :
1 quartz = 0.25 gallons 1 pint = 0.125 gallonsOrange juice :
2 cartons = 2(1.75) = 3.5 gallons
Soda water :
3 bottles = 3(6 × 0.25) = 4.5 gallons
Cocktail juice :
6 cans = 6(2 × 0.125) = 1.5 gallons
Total gallons in mixture :
(3.5 + 4.5 + 1.5) = 9.5 gallonsLearn more : https://brainly.com/question/25581049
Simplify the following exponential expression.
14405c4
- 166c-14
Answers
14405c•4-166c-14
57620c-166c-14
57454c-14
I hope this helps!
$49 per month for unlimited calling plus 5 cents for each text message. Is this proportional or non proportional?
Answers
Answer: proptional
Step-by-step explanation:
Find the slope of the line that passes through (10, 3) and (1, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer: -7/9
Step-by-step explanation:
10-3
1-10
The slope of the line is - 7/9
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Right triangle LMN has vertices L(7, –3), M(7, –8), and N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8). Which rule was used to translate the image? (x, y) → (x + 6, y – 5) (x, y) → (x – 6, y + 5) (x, y) → (x + 8, y – 11) (x, y) → (x – 8, y + 11)
Answers
Answer:
d
Step-by-step explanation:
The rule that was used to translate the image is (x, y) → (x – 6, y + 11)
Translation is a way of moving an object from one location to another on the xy- plane
Given the coordinate of the right triangle LMN with vertices L(7, –3), M(7, –8), and N(10, –8)
If the triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8), the translation used will be:
L'(1, 8) = (x, y) - L(7, -3)
(X, Y) = L'(1, 8) + L(7, -3)
(X, Y) = (1+7, 8+3))
(X, Y) = (-6, 11)
Hence the rule that was used to translate the image is (x, y) → (x – 6, y + 11)
Learn more here: https://brainly.com/question/1046778
I’ll mark you brainliest help!!! Which function is increasing?
Answers
Answer:
the answer is D. have a nice day :)
the function f is defined by f(x) = 3x-7/8.
(1) Evaluate f(-2) and f(2 5/6).
(2) final the value of x for which f(x)=5
Answers
Answer:
-55/8, 61/8, x=47/24
Step-by-step explanation:
not sure if you meant f(25/6) or f(2 5/6), I just assumed it was the second one
but basically just sub in the value into the eqn given
y is equal to the product of 3 and x divided by 9; x = -6 What is the output?
Answers
Answer:
Out put would be - 2
Step-by-step explanation:
[tex]y = 3x \div 9 \\ y = \frac{3x}{9} \\ y = \frac{x}{3} \\ plug \: x = - 6 \\ y = \frac{ - 6}{3} \\ \huge \purple{ \boxed{ y = - 2}}[/tex]
Factor the polynomial completely.
(y - 8)^2 - 16
Answers
Answer:
(y -12)(y -4)
Step-by-step explanation:
This can be factored as the difference of squares:
(y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)
On Monday the temperature at 10 p.m at sams house was -6 Fahrenheit the temperature at 2 p.p at sams house was 2 Fahrenheit which statement about the change in temperature from 10 a.m to 2 p.m at sams house is true?
Answers
Answer:
rose 8
Step-by-step explanation:
-6fahrenheit plus 8 = 2 it took four hours to rise 8 i think
200 is what percent of 100
Answers
Answer:
200%
Step-by-step explanation:
make a proportion
100/100% = 200/x% cross multiply
100x =20000 divide by 100
x = 200
Answer:
200% I think?
Step-by-step explanation:
At a middle school, 30% of the students walk to school, 1/5 (20%) ride their bikes, 12.5 are dropped off by car, and the remaining students ride the bus to school.
Is there are 800 students who attend this school, how many students use each form of transportation?
Answers
Answer:
please give more clarification
Answer:
Walk: 240
Ride 160
Car 100
Rest 300
Step-by-step explanation:
Walk:
30%
.30 * 800 = 240
Ride
20%
.20 * 800 =160
Car
12.5%
.125 * 800 =100
Rest
100-30-20-12.5 =37.5
.375 * 800 = 300
PLEASE HELP I need the answer for this ASAP pleaseeeee
Answers
Answer:
13
Step-by-step explanation:
[tex]f(x) = 5 \sqrt{x} + 8 \\ f(1) = 5 \sqrt{1} + 8 \\13[/tex]
Hope this helps..
The expression (x − 4)2 is equivalent to x2 − 16 x2 + 16 x2 − 8x + 16 x2 + 8x + 16
Answers
Answer:
Given below
Step-by-step explanation:
The algebraic identity is (a-b)^2
= a^2 + b^2 - 2ab
So it'll be,
(x-4)^2
= x^2 + (4)^2 - (2)(x)(4)
= x^2 -8x + 16
or x^2 +16 -8x
The expression x² + 16 -8x is equivalent to the given expression (x-4)². The correct answer would be an option (C).
What is algebra?Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.
The expression is given in the question, as follows:
(x-4)²
As we know that the sum of square identity (a-b)² = a² + b² - 2ab
So x² + (4)² - (2)(x)(4)
x² -8x + 16 or
x² + 16 -8x
This expression is equivalent to the given expression.
Hence, the correct answer would be an option (C).
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
what is the center of a circle whose equation is x^2+y^2-12x-2y+12=0
Answers
Answer:
(6, 1)
Step-by-step explanation:
Answer:
centre = (6, 1 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 2y + 12 = 0
Collect the x and y terms together and subtract 12 from both sides
x² - 12x + y² - 2y = - 12
To obtain the equation in standard form use completing the square
add ( half the coefficient of the x/ y term )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 1)y + 1 = - 12 + 36 + 1
(x - 6)² + (y - 1)² = 25 ← in standard form
with centre = (6, 1 ) and radius = [tex]\sqrt{25}[/tex] = 5
Which of the equations below represents a line parallel to the y-axis? A. x = -y B. x = y C. x = 4y D. x = 4
Answers
Answer:
D
Step-by-step explanation:
A line parallel to the y- axis is a vertical line with equation
x = c
where c is the value of the x- coordinates the line passes through, thus
x = 4 is the equation of a line parallel to the y- axis → D
60cm in the ratio 5:7
Answers
Answer:
[tex]25:35[/tex]
Step-by-step explanation:
[tex]\frac{60}{5+7}[/tex]
[tex]\frac{60}{12}[/tex]
[tex]=5[/tex]
[tex]5:7[/tex]
[tex]5 \times 5 :7 \times 5[/tex]
[tex]25:35[/tex]
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, or vertical.
Answers
Answer:
see below
Step-by-step explanation:
Because there is the right angle symbol on the chart these angles are complementary meaning thety have a sum of 90°.
Holly is trying to save $25,000 to put a down payment on a condominium. If she starts with $10,000 saved and saves an additional $750 each month, which equation represents how far Holly is from her goal of reaching $25,000? Let x stand for months and y stand for dollars.
Answers
Answer:
15000 - 750x
Step-by-step explanation:
Holly is trying to save $25, 000 to put a down payment on a condominium. She started with $10,000 and saved an additional $750 each month.
Let
y = dollars
x = number of months
Since she started her savings with $10, 000 her remaining amount to pay will be 25000 - 10000 = $15000 .
The amount will also be reducing by $750 per month
Therefore,
How far she is from her goal can be represented with the equation
15000 - 750x
Find the length of the third side to the nearest tenth.
5
1
Answers
Answer:
square root of 26 (sorry couldn't get the symbol)
Step-by-step explanation:
C^2 = A^2 + B^2 (Pythagoras Theorem)
C^2 = 5^2 + 1^2
C^2 = 26
take square root of both sides
C =
[tex] \sqrt{26} [/tex]
Use the quadratic formula to find the solution to the quadratic equation below pt2
Answers
Answer:
x=3/2
Step-by-step explanation:
There is only one solution.
Answer: x=3/2
Step-by-step explanation:
