Answers
Given: angle M congruent to angle X; angle N congruent to angle Y; YO congruent to NZ.
1. YZ=YO+OZ; reason: segment addition postulate (YZ is made up of YO and OZ).
2. ON=NZ+OZ; reason: segment addition postulate (ON is made up of NZ and OZ).
3. YO=NZ; reason: given.
4. ON=YO+OZ; reason: substitution (since NZ is congruent to YO, we substitute YO for NZ).
5. ON=YZ; reason: substitution (since YZ=YO+OZ, we substitute YZ for YO+OZ).
6. MNO is congruent to XYZ; reason: AAS (we have 2 sides and a non-included angle in each triangle congruent, which is the angle-angle-side theorem).
Answer:
Given is :
∠M≅∠X
∠N≅∠Y
YO≅NZ
We have to prove that ΔMNO≅ΔXYZ
Using segment addition postulate we get YZ=YO+OZ and ON=NZ+OZ and YO=NZ is already given. Using substitution of YO for NZ; we get ON=YO+OZ
Now substituting YZ for YO+OZ we get ON=YZ and also YZ=YO+OZ.
Now applying AAS we get ΔMNO is congruent to ΔXYZ because of angle-angle-side theorem as we have already proved that two sides are congruent and a non-included angle in each triangle is congruent.
Related Questions
lola uses 44 beads to make a bracelet and 96 beads to make a necklace.Write an expression to show how to calculate the total number of beads lola used to make 13 bracelets and 8 necklace
Answers
what is the value of log3^81
Answers
Answer:
Third option is correct. The value of given expression is 4.
Step-by-step explanation:
The given expression is
[tex]log_381[/tex]
The given expression can be written as
[tex]log_3(3\times 3\times 3\times 3)[/tex]
[tex]log_3(3^4)[/tex]
According to the property of logarithm expression,
[tex]log_a(a^b)=b[/tex]
Using this property of logarithm expression, we get
[tex]log_3(3^4)=4[/tex]
Therefore the value of given expression is 4 and option third is correct.
The value of the expression log₃(81) is 4.
We have,
The value of log base 3 of 81 can be found by asking the question: "To what power must 3 be raised to obtain 81?"
In this case, the answer is 4, because 3 raised to the power of 4 equals 81.
i.e
[tex]3^4[/tex] = 81
Therefore,
The value of the expression log₃(81) is 4.
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Which statements are true regarding quadrilateral ABCD? Check all that apply.
ABCD has congruent diagonals.
ABCD is a rhombus.
ABCD is not a rectangle.
ABCD is not a parallelogram.
ABCD has four congruent angles.
Answers
The statements that are true regarding quadrilateral ABCD include:
ABCD has congruent diagonals.ABCD is a rhombus.ABCD has four congruent anglesBased on the information given, ABCD has congruent diagonals and can be treated as a rhombus. This is because it's a regular quadrilateral.
It should be noted that ABCD can be treated as a rectangle and a parallelogram as well.
In conclusion, the correct options are 1, 2, and 5.
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Choose the correct simplification of the expression the quantity a to the 4th power over b to the 2nd power all raised to the 3rd power.
a to the 7th power over b to the 5th power
a to the 12th power over b to the 6th power
ab9
a12b6
Answers
a to the 4th power = a⁴
over
b to the 2nd power = b²
( [tex] \frac{a^4}{b^2} [/tex] ) raised to 3rd power = ( [tex] \frac{a^4}{b^2} [/tex] )³
The power of power properties apply here
(a) 4 x 3 = 12
(b) 2 x 3 = 6
[tex] \frac{a^1^2}{b^6} [/tex]
Your answer will be the 2nd Option
a to the 12th power over b to the 6th power
a taxi cost $1.65 for the 1st Mile and $0.85 for each additional mile. Which equation could be solved to find the number x of additional miles traveled in the taxi given that the total cost of the trip is $20?
Answers
0.85x + 1.65 = 20
to solve it:
subtract 1.65 from both sides. afterwards, divide both sides by 0.85 to find x!
Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below. 79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85 What is the mode interval of the data?60-69 70-79 80-89 90-99
Answers
Answer:4
Step-by-step explanation: just mark me brainlest
neeeeeed help asp please. thx:)
Answers
Then multiply 12 by 3 to get the ounces, which is 36.
So A, 21 lbs 36 oz, is the correct answer.
Hope this helps!
PLEASE HELP!! WILL GIVE BRAINLIEST!!
Question 3: The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles
Part A: What is the area, in square feet, of the shaded region?
Part B: What is the area, in square feet, of the nonshaded region?
Answers
Total shaded area : A1+A2+A3=41 ft2Total area of the reactangle : A=16*8=128 ft2Total area of the nonshaded region : 128-41=87 ft2
Your typical markup for merchandise is 40%. Your cost on an item is $8.00. Calculate the selling price.
Answers
Selling price=(Markup/Product costx100%)+Product cost
You have that:
Markup=40%
Product cost=$8.00
Given these values, you only have to substitute them into the formula of Selling price:
Selling price=(Markup/Product costx100%)+Product cost
Selling price=(40%/$8.00x100%)+$8.00
Selling price=$3.20+$8.00
Selling price=$11.20
Find the supplement of an angle of 126 degrees
Answers
y varies directly as x. If y = -2 when x = 4, find x when y = 5.
Answers
solve for x in the equation x^2 + 20x + 100 = 36
Answers
Comment the correct answer.
Answer:
x = -4 or x = -16
Step-by-step explanation:
We have to solve equation x^2 + 20x + 100 = 36 and find the value of x
x² + 20x + 100 = 36
x² + 20x + 100 - 36 = 36 - 36
x² + 20x + 64 = 0
(x + 4 ) ( x + 16 ) = 0
x + 4 = 0 or x + 16 = 0
x = -4 or x = -16
Answer would be x = -4 or x = -16
The area of a trapezoid is 20 square units. The sum of the base lengths is 10 units. What is the height of the trapezoid
Answers
1/2 × 10 × height = 20
5 × height = 20
height = 20/5
height = 4 units
BRAINLIEST to the one who can asnwer my question and show me the work step by step so that I can understand. I want to understand.
Approximate the arc length of one-quarter of the unit circle (which is π /2) by computing the length of the polygonal approximation with n=4 segments. (As seen in picture)
The length of the line segment on the interval 0≤x≤0.25
The length of the line segment on the interval 0.25≤x≤0.5
The length of the line segment on the interval 0.5≤x≤0.75
The length of the line segment on the interval 0.75≤x≤1
Answers
Given unit circle, so radius=1.
We calculate lengths of vertical segments, with the help of Pythagoras Theorem, based on a right triangle radiating from circle centre O, and hypotenuse from O to a point on the circumference.
AO=1 (given unit circle)
BB'=sqrt(1^2-0.25^2)=0.968246
CC'=sqrt(1^2-0.5^2)=0.866025
DD'=sqrt(1^2-0.75^2)=0.661438
EE'=0
Now we proceed to calculate the segments approximating the arc. Again, we use a right triangle in which the hypotenuse is the segment joining two points on the circumference. The height is the difference between the two vertical segments, and the base is 0.25 for all four segments.
AB=sqrt((AO-BB)^2+0.25^2)=0.252009BC=sqrt((BB-CC)^2+0.25^2)=0.270091CD=sqrt((CC-DD)^2+0.25^2)=0.323042DE=sqrt((DD-0)^2+0.25^2)=0.7071068
giving a total estimation of the arc length
approximation of arc=AB+BC+CD+DE=1.55225
Hello,
Please, see the attached files.
Thanks.
someone please show me to how to find x, thank you.
Answers
(3y -20) +(2y +15) = 180
5y -5 = 180
y -1 = 36
y = 37
Opposite angles are equal.
5x -14 = 2y +15
5x = 2y +29
x = 0.4 y +5.8
x = 0.4*37 +5.8 = 20.6 . . . . . . . selection A is appropriate
If a translation maps point (3, 2) to (4, 5); or T: (3, 2) (4, 5), then what is the image of the point (0, 0)?
Answers
On this problem is given that the point T was translate from the coordinate (3,2) to the coordinate (4,5). Meaning that the image is a translation of one unit to the right and three units up with relation to the preimage.
Point (0,0) would be translated one unit to the right and three units up.
Giving the new point or preimage, the coordinates of (1,3)
Answer:
(1,3)
Step-by-step explanation:
1.) One side of a rectangle is 7 inches and the other side is x inches. What values of x will make the perimeter at most 26 inches?
2.) Use the fact that the sum of the 3 angles in a triangle is 180 degree to answer this question. One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 35 degree more than that of the smallest angle. Find the measure of the each of the angles.
I need the smallest angle, The middle angle and largest angle .
Thank you !
Answers
residents of a small city voted on whether to allow a developer to build a shopping center.the number of votes favor of the shopping center was 4,400.the number of votes against the shopping center was 17,600.what percent of the voters were in favor of building the shopping center?
Answers
Thus in this case, our percentage would be 4400/22000=20%.
Find the intersection of the two planes with equations 5(x − 1) + 2y + (z + 1) = 0 and (x − 1) + 7y − (z + 1) = 0. (use the parameter t. enter your answers as a comma-separated list of equations.)
Answers
P1: 5(x-1)+2y+1(z+1)=0
P2: 1(x-1)+7y-1(z+1)=0
Need the intersection of the planes P1 and P2 (a line)
By inspection of the equations,
normal to P1: N1<5,2,1>
normal to P2: N2<1,7,-1>
Direction vector, V, of the required line is the cross product of P1 & P2:
i j k
5 2 1
1 7 -1
=V<-9, 6, 33>
Since P1 passes through point (1,0,-1), the parametric equation of the required line is <1-9t, 0+6t, -1+33t>
L:
The intersection of two planes can be found by solving the system of equations formed by the equations of the planes. In this case, the intersection is given by the equations x = (4 - 9y) / 6, y = y, and z = -3 - (23y/6), where y can be any real number.
Explanation:The intersection of two planes can be found by solving the system of equations formed by the equations of the planes.
To find the intersection, we can set the two equations equal to each other and solve for x, y, and z.
Rewrite the equations in standard form: 5x - 5 + 2y + z + 1 = 0 and x - 1 + 7y - z - 1 = 0Add the equations together: 6x + 9y = 4Solve for x in terms of y: x = (4 - 9y) / 6Substitute the value of x into one of the original equations to solve for z: 5((4 - 9y) / 6 - 1) + 2y + (z + 1) = 0Simplify and solve for z: z = -3 - (23y/6)Therefore, the intersection of the two planes is given by the equations x = (4 - 9y) / 6, y = y, and z = -3 - (23y/6), where y can be any real number.
Choose the correct product of (3x − 8)2.
9x2 − 64
9x2 + 64
9x2 − 48x + 64
9x2 + 48x + 64
Answers
(3x - 8)²
(3x - 8)(3x - 8)
(3x)² - 8(3x) - 3x(8) + (8)²
9x² - 24x - 24x + 64
9x² - 48x + 64
Your answer will be the second last option
PLEASE HELP!!! LAST QUESTION
Which of the following is the equation of a line that passes through the points (2,5) and (4,3)
A. y= -2x+5
B. y= 2x+5
C. y= -x+7
D. y= x+7
Answers
To get this answer, I just substituted the x values of the given coordinates in each of the equations to see which one would produce the given y values. y= -x+7 works because:
5= (-2)+7
3= (-4)+7
7 4/5 no nearest whole number
Answers
Your answer is: 8
Have an amazing day mate!
Your promotional budget for this year is $200 for personal selling, $400 for sales promotion, $1000 for advertising, and $700 for image promotion. What is your total promotion budget for this year?
Answers
[tex]1000 + 700 + 400 + 200 = 2300[/tex]
Budget for personal selling =$200
Budget for sales promotion = $400
Budget for advertising =$1000
Budget for image promotion =$700
Total Budget =Adding all the values = 200 +400+1000 +700 = 2300
So total promotion budget for this year is $2300
How can you tell if a binomial divides evenly into a polynomial?
Answers
Answer:
The remainder is 0
Step-by-step explanation:
A number divides evenly with another number if and only if the remainder is 0. This applies to all numbers and equations including binomials and polynomials. Anytime there is a remainder in a division it means that the denominator does not fit evenly anymore into the numerator.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Mr. Fry is building a fence around his pool. •Length of the fence is 60 feet. •Width of the fence is 30 feet. How many yards of fence will Mr. Fry build? A) 30 yards B) 60 yards C) 90 yards D) 540 yards i need help!!!!!!!!!
Answers
Mr. Fry will need 60 yards of fencing to encircle his pool, as the perimeter of the rectangular pool area is 180 feet and there are 3 feet in a yard.
To determine the total amount of fencing Mr. Fry will need, we calculate the perimeter of the rectangular area around the pool. The perimeter can be found by doubling the length then adding this to double the width. Therefore:
Perimeter = 2× Length + 2× Wid
= 2 × 60 feet + 2 × 30 feet
= 120 feet + 60 feet
= 180 feet
Now, knowing that 1 yard equals 3 feet, we can convert feet into yards:
Yards = Feet ÷ 3
= 180 feet ÷ 3
= 60 yards
Hence, Mr. Fry will need 60 yards of fence for his pool.
To determine the number of yards of fence Mr. Fry will build, we calculate the perimeter of the rectangular area (2 x (60 + 30) feet = 180 feet) and then convert it to yards (180 feet / 3 = 60 yards).
Mr. Fry is building a fence around his pool and wants to know how many yards of fence he will need. The fence has a length of 60 feet and a width of 30 feet. To find the total length of the fence in yards, we first calculate the perimeter of the rectangular fence which is 2 x (length + width). So, the perimeter in feet is 2 x (60 + 30) = 180 feet. Since 1 yard is equal to 3 feet, we divide the total number of feet by 3 to get the measurement in yards: 180 feet / 3 = 60 yards. Therefore, Mr. Fry will build 60 yards of fence.
A large tank is filled to capacity with 400 gallons of pure water. brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t. a(t) = lb
Answers
Final answer:
The student's question involves setting up and solving a differential equation for the amount of salt in a tank where brine is added and mixed solution is removed at constant rates.
Explanation:
The problem is related to a differential equation modeling the amount of salt in a tank of water where the concentration changes over time. We are given a tank with an initial volume of 400 gallons of pure water. Brine with 3 pounds of salt per gallon is added at a rate of 4 gallons per minute, and the well-mixed solution leaves the tank at the same rate.
To find the number of pounds of salt a(t) in the tank at any time t, we can set up a differential equation based on the rates of salt entering and leaving the tank:
[tex]\(\frac{dA}{dt} = rate_{in} - rate_{out}\)[/tex]
Where A represents the amount of salt in the tank, \(rate_{in}\) is the rate at which salt enters the tank, and \(rate_{out}\) is the rate at which salt leaves the tank.
[tex]\(rate_{in} = 3 pounds/gallon \times 4 gallons/minute = 12 pounds/minute\)[/tex]
[tex]\(rate_{out} = \frac{A(t)}{400} \times 4 gallons/minute = \frac{A(t)}{100} pounds/minute\),[/tex] since the concentration of salt leaving is[tex]\(\frac{A(t)}{400}\) pounds/gallon.[/tex]
The differential equation becomes:
[tex]\(\frac{dA}{dt} = 12 - \frac{A}{100}\)[/tex]
This equation can be solved using the separation of variables or an integrating factor method, depending on the student's level of mathematical knowledge.
A) A pack of 8 batteries cost £3.99 how much dose each battry cost? ( give your answer in penny ?) ________________________________B) A pack of 6 batteries of the same type costs 2.79. By calculating the price of the battery determine if this is a better value. You must show your working out?
Answers
Which, changed into pence and rounded up, is 50p.
£2.79 divided by 6 is £0.465
Which, changed into pence and rounded up is 47p.
50p is bigger than 47p
50 subtract 47 is 3p
The second one has the better value for money as it costs 3p less per battery.
(A) cost of each battery is [tex]49 \;\rm{penny}\\[/tex].
(B) cost of each battery is [tex]\£\;0.465[/tex].
Given: Cost of a pack of [tex]8[/tex] batteries is [tex]\£\; 3.99[/tex].
According to question,
(A) Cost of each battery can be calculated as [tex]\£\;\frac{3.99}{8}=\£\;0.49875[/tex].
As we know that,
[tex]\£\;1=100 \;\rm{penny}\\\£\;0.49=49 \;\rm{penny}\\[/tex]
(B) costs of a pack of [tex]6[/tex] batteries is [tex]\£\; 2.79[/tex].
Cost of each battery can be calculated as [tex]\£\;\frac{2.79}{6}=\£\;0.465[/tex].
Therefore, (A) cost of each battery is [tex]49 \;\rm{penny}\\[/tex].
(B) cost of each battery is [tex]\£\;0.465[/tex].
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From a sample with nequals=1616, the mean number of televisions per household is 22 with a standard deviation of 11 television. using chebychev's theorem, determine at least how many of the households have between 00 and 44 televisions.
Answers
For a wide class of distributions, no more than [tex]\frac{1}{k^2}[/tex] of the values can be outside of k standard deviations of the mean.
Here,
n = 16
μ = 2
σ = 1
range iin question = 0 to 4 [tex]=2\pm2=\mu\pm\sigma[/tex]
=> k=2
[tex]\frac{1}{k^2}=\frac{1}{4}[/tex]
meaning that at most 1/4 of the sample is outside the given range, or 3/4 of the sample= (3/4)*16 =12 is within the given range of 0 to 4 televisions.
Answer: at least 12 out of 16 households have between 0 to 4 televisions, according to the Chebyshev's inequality.
Which question is statistical?
A.How many of each species of butterflies did you see on your camping trip?
B.How many different species of butterflies are there in the world?
C.How many Monarch butterflies migrated south this year?
D.How many Monarch butterflies live in the state park?
Answers
p.s. spread le cheese ⌂
Answer:
A
Step-by-step explanation:
paleontologists have put together bones to make a t-rex skull that has a mass of 600 pounds.They just found a new tooth fossil to add to the skull that has a mass of 40 ounces.how many pounds in the t-rex skull with the new tooth
Answers
Answer:
40/16 = 2.5 . 600 lbs +2.5 lbs = 602.5 lbs skull
Step-by-step explanation:
convert 40 oz lbs and then make it 40/16