Answers
9514 1404 393
Answer:
A: ∠W'Z'Y' = 60°; angles aren't changed by rotation
B: W'(-3, 6), X'(9, 6), Y'(8, 1), Z'(-4, 1)
Step-by-step explanation:
Part A:
Angle WZY is the supplement of the given angle ZWX, so is ...
∠WZY = 180° -120° = 60°
Rotation about the origin (or anywhere else) does not change angles. The new parallelogram will have ...
∠W'Z'Y' = 60°
__
Part B:
The transformation right 2 and up 3 can be described by ...
(x, y) ⇒ (x +2, y +3)
Then the translated vertices are ...
W(-5, 3) ⇒ W'(-3, 6)
X(7, 3) ⇒ X'(9, 6)
Y(6, -2) ⇒ Y'(8, 1)
Z(-6, -2) ⇒ Z'(-4, 1)
Related Questions
What is the line of best fit for these points?
(0, 6)(2, 10) (-2, 2)(-1,4)
Answers
Answer:
b
Step-by-step explanation:
This is the graph to your question. The points include: (0, 6) (2, 10) (-2, 2) (-1,4)
18. Find the measure of angle STP.
Answers
Answer:
x=7
Step-by-step explanation:
∠STP=∠SWT+∠TSW(exterrior ∠ of Δ)
15x=7x+1+7x+6
x=7
Which number is NOT in the solution set of x + 6 < 14?
Answers
Answer:
x < 8
Step-by-step explanation:
x + 6 < 14
x < 14-6
x < 8
hope it help u
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Simplify by expressing with radicals. ^6radical x^2 y^6
Answers
What is the y-intercept of the graph of the line given by the equation 3y + 4x = 15
A. 5
B. 4
C. 3
D. -4/3
Answers
Answer:
It would be 5
Step-by-step explanation:
a. Identify the series of transformations that would map Circle A onto Circle B.
b. Identify the series of transformations that would map Circle C onto Circle A.
Answers
Answer:
Step-by-step explanation:
Assumed Knowledge
Motivation
Content
Radii and chords
Angles in a semicircle
Angles at the centre and circumference
Cyclic quadrilaterals
The alternate segment theorem
Similarity and Circles
Links Forward
Converse of the circle theorems
Coordinate geometry
Calculus
History and Applications
The Euler line
The nine-point circle
Morley’s trisector theorem
Appendix − Converses to the Circle Theorems
Answers to Exercises
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ASSUMED KNOWLEDGE
Introductory plane geometry involving points and lines, parallel lines and transversals, angle sums of triangles and quadrilaterals, and general angle-chasing.
Experience with a logical argument in geometry written as a sequence of steps, each justified by a reason.
Ruler-and-compasses constructions.
The four standard congruence tests and their application to proving properties of and tests for special triangles and quadrilaterals.
The four standard similarity tests and their application.
Trigonometry with triangles.
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MOTIVATION
Most geometry so far has involved triangles and quadrilaterals, which are formed by intervals on lines, and we turn now to the geometry of circles. Lines and circles are the most elementary figures of geometry − a line is the locus of a point moving in a constant direction, and a circle is the locus of a point moving at a constant distance from some fixed point − and all our constructions are done by drawing lines with a straight edge and circles with compasses. Tangents are introduced in this module, and later tangents become the basis of differentiation in calculus.
The theorems of circle geometry are not intuitively obvious to the student, in fact most people are quite surprised by the results when they first see them. They clearly need to be proven carefully, and the cleverness of the methods of proof developed in earlier modules is clearly displayed in this module. The logic becomes more involved − division into cases is often required, and results from different parts of previous geometry modules are often brought together within the one proof. Students traditionally learn a greater respect and appreciation of the methods of mathematics from their study of this imaginative geometric material.
The theoretical importance of circles is reflected in the amazing number and variety of situations in science where circles are used to model physical phenomena. Circles are the first approximation to the orbits of planets and of their moons, to the movement of electrons in an atom, to the motion of a vehicle around a curve in the road, and to the shapes of cyclones and galaxies. Spheres and cylinders are the first approximation of the shape of planets and stars, of the trunks of trees, of an exploding fireball, and of a drop of water, and of manufactured objects such as wires, pipes, ball-bearings, balloons, pies and wheels.
a) The series of transformations to map Circle A onto Circle B is likely a translation. b) The series of transformations to map Circle C onto Circle A is a translation, rotation, and scaling.
a. To map Circle A onto Circle B, we must determine the transformation sequence. We can scale, rotate, and translate.
Translation: An object is translated horizontally or vertically without affecting shape or orientation. To match Circle B, Circle A appears to need to be shifted right and up.
Rotation: An object rotates around a fixed point. Rotation may not be needed since Circle A and Circle B appear to be aligned.
Scaling: An object is resized by scaling. Since Circle A and Circle B are the same size, scaling doesn't seem necessary.
Thus, Circle A-to-Circle B transformations are likely translations.
b. Again, we must determine the transformation sequence to transfer Circle C onto Circle A. Translation: Based on their relative positions, Circle C needs to be shifted left and down to match Circle A.
Rotation: To align Circles A and C, they must be rotated.
Scaling: Circle A is larger than Circle C, hence Circle C should be scaled down.
Thus, translating, rotating, and scaling map Circle C onto Circle A.
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Question 15 (5 points)
5
6
(2) There are two paths that one can choose to go from
Sarah's house to James house. One way is to take C street,
and the other way requires to take A street and then B
street. How much shorter is the direct path along C street?
(Using figure).
3
9
12
Sarah
house TTT
15
James
house
B Street
1.5 miles
C Street
A Street
2 miles
Answers
Withat are the missing length(s) of the sides of the triangle labeled 'a' and ‘b’.
Answers
(20 word minimum)
Cost of a tie: $35.50
Markup: 30%
Discount: 20%
Tax: 5%
Answers
Answer:
40.25 i believe
Step-by-step explanation:
27 is what percent of 18.75 it is asking for a percent answer I’ve tried 44%, 144, 506.25
Answers
Answer:
144%
Step-by-step explanation:
Answer:
144%??
Step-by-step explanation:
thats the answer man
are 2x3 and 4x4 like or unlike terms
Answers
Answer:
They are like terms
Step-by-step explanation:
Answer:They are like terms!
Step-by-step explanation:
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5
points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown
represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
O The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answers
Answer:
10 three point and 14 5 point
Step-by-step explanation:
Ive answered this same question a lot
Y’all, lord have mercy
How am I in highschool, yet I don’t know how to solve this without a calculator
Answers
Answer:
4
Step-by-step explanation:
Answer:
Answer of this qn is. 4 hope it help s
Twice the difference of a number and 2 is added to 6 and the result is 4 more than 3 times the number.
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Given the statement:
''Twice the difference of a number and 2 is added to 6 and the result is 4 more than 3 times the number''.
Let us break down the statement into an algebraic expression.
First Portion:
Let the number be: n
The difference of a number n and 2: n -2
Twice the difference of a number n and 2: 2(n-2)
Twice the difference of a number and 2 is added to 6 = 2(n-2) + 6
Second Portion:
3 times the number n: 3n
4 more than 3 times the number: 3n + 4
Combine the First portion and Second Portion:
Twice the difference of a number and 2 is added to 6 and the result is 4 more than 3 times the number:
2(n - 2) + 6 = 3n + 4
Therefore, the required algebraic expression is:
2(n - 2) + 6 = 3n + 4BONUS SOLUTION to determine the number n
Let us solve the expression
2(n - 2) + 6 = 3n + 4
2n - 4 + 6 = 3n + 4
flip the equation
3n + 4 = 2n - 4 + 6
3n + 4 = 2n + 2
3n - 2n = 2 - 4
n = -2
Thus, the value of n = -2
Find the geometric mean of sqrt 77 and sqrt 343.
Answers
Answer:
12.75
Step-by-step explanation:
The computation of the geometric mean of sqrt 77 and sqrt 343 is given below:
As we know that
Geometric mean = [tex]\sqrt{ab}[/tex]
where
a is the first number = [tex]\sqrt{77}[/tex]
And, the b is the second number = [tex]\sqrt{343}[/tex]
Now first we have to convert into a number
For a it, is = 8.78
And, for b, it is = 18.52
Now the geometric mean is
[tex]= \sqrt{8.78 \times 18.52}[/tex]
= 12.75
I’m literally gonna go insane from this TwT
Answers
Positive 10
The area of this rectangle is 10cm2, find the value of x and use it to find the length and the width of the rectangle.
If the length of a rectangle is three time the width and it’s perimeter is 24 cm, what is its area?
Answers
Answer:
The area of this rectangle is 10cm2, find the value of x and use it to find the length and the width of the rectangle.
If the length of a rectangle is three time the width and it’s perimeter is 24 cm, what is its area?
Length and width of the rectangle are 4 cm and 2.5 cm respectively.
Given in the picture,
A rectangle with the area of 10 cm².Expressions representing the lengths of the rectangle as(4x + 2) cm and (10x - 1) cm
By the property of a rectangle, measure of opposite sides of a rectangle are always equal,
(4x + 2) = (10x - 1)
(4x + 2) - 4x = (10x - 1) - 4x
2 = 6x - 1
2 + 1 = (6x - 1) + 1
3 = 6x
[tex]x=\frac{3}{6}=\frac{1}{2}[/tex]
Now we can get the length of the given rectangle by substituting the value of 'x' in (10x - 1) or (4x + 2).
(10x - 1) = [tex]\frac{10}{2}-1[/tex]
= 4 cm
Since, area of a rectangle is given by the expression,
Area = Length × width
By substituting the values in the expression,
10 = 4 × width
Width = [tex]\frac{10}{4}[/tex]
= 2.5 cm
Therefore, length and width of the rectangle are 4 cm and 2.5 cm respectively.
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Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.
If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?
Answers
Answer:
3.25
Step-by-step explanation:
Below is a set of data about temperatures. The range of a set of data is the distance between the lowest and highest value in the set. What is the range of these temperatures?
9°C, -3°C, 22°C, -5°C, 11°C, 15°C
Answers
Answer:
22-(-5)= 27
Step-by-step explanation:
22 is the highest temp. -5 is the lowest.
The range of the given temperatures is 27.
What is the range of the data set?"It the difference between the highest and lowest value of the data set."
For given example,
a set of data about temperatures is,
9°C, -3°C, 22°C, -5°C, 11°C, 15°C
First, we arrange the data values in ascending order.
-5°C, -3°C, 9°C, 11°C, 15°C, 22°C
Here, the lowest temperature = -5°C
the highest temperature = 22°C
So, the range of the data set would be,
R = highest temperature value - lowest temperature value
R = 22 - (-5)
R = 22 + 5
R = 27
Therefore, the range of the given temperatures is 27.
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Slope =3/2 y-intercept =0
Answers
Answer:
The equation is y=3/2x
Step-by-step explanation:
Here are two rectangles.
6 cm
9 cm
8 cm
12 cm
Complete this sentence.
The two rectangles are similar and the scale factor is
Answers
Answer: The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.
Step-by-step explanation:
Hope you can see this
Answers
Answer:
I can see it, sorry
Step-by-step explanation:
Can someone help me ?
Answers
50*
Cause if u know a right angle is 90* then u add it it gets 130 then you take that away from 180 what leaves you with 50
NEED HELPP CORRECTT ANSWERS AND WILL GIVE THANKS AND MARK BRAINLIST ONLY FOR CORRECT ANSWER
Answers
4,20
i think that the answer
Bookstore A sells a particular book for $15.25, but they have it on sale for 20% off. Bookstore B sells it for $12.45. How much more does it cost at Bookstore B?
Answers
Answer:
$0.25
Step-by-step explanation:
to find the amount bookstore A sales after the 20% discount, cross multiply x/15.25=20/100 and you get $3.05. 15.25-3.05 gives you $12.2. substract 12.2 from 12.45 and you get $0.25. book B costs $0.25 more than book A.
Which equation represents a line with a slope of -6/5
and a y-intercept of 1?
Answers
Answer:
y = -6/5x + 1
Step-by-step explanation:
The equation that represents a line with a slope of -6/5 and a y-intercept of 1 is y = -6/5x + 1
How to determine the equation?The given parameters are:
Slope, m = -6/5y-intercept = 1Let the variable of the equation be x.
A linear equation is represented as:
y = Slope * x + y-intercept
So, we have:
y = -6/5 * x + 1
Evaluate
y = -6/5x + 1
Hence, the equation is y = -6/5x + 1
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at the end of the basket ball game, the players were given the choice of having a bottle of water or a box of juice. of all the players, 12 chose a water bottle which was 3/4 of the total amount of players. Write and solve the equation to determine p, the total amount of players in the basket ball game.
Answers
Answer: 16 players in total
Step-by-step explanation:
12 divided by 3/4 is 16
12 / 3/4 = p
16 / p
You and a friend join a gym. The registration fee is $30 and the monthly membership is $20. If the total bill for you and your friend is $420, how many months did you pay for?
Answers
Answer:
You payed for 18 months.
Step-by-step explanation:
420-60=360
360÷20=18
The lowest recorded temperature in a town was 4ºF, without the windchill. With the wind, the temperature felt like 10ºF below zero. On a number line, what is the distance between the two temperatures?
6
7
14
15
Answers
Answer:
umm it think it is 14
Step-by-step explanation:
Answer:c
Step-by-step explanation:
An athletics club has junior
(i.e. boy or girl) members and adult members.
The ratio of girls to boys to adults is 3:4:9
and there are 16 more adult members than
junior members. In total, how many members
does the club have
Answers
Answer:
The total number of members are 128 members
Step-by-step explanation:
From the question, mixing the ratio of children to adult, we have ;
7:9
There are 16 more adult members
So if there are x children, then there are 16 + x adults
Thus, the total number of members will be;
16 + x + x = 2x + 16
Now, we have that;
7/16 * (2x + 16) = x
7(2x + 16) = 16x
14x + 112 = 16x
16x-14x = 112
2x = 112
x = 112/2
x = 56
The total number of members is thus;
2(56) + 16 = 128