Answer:b
Step-by-step explanation:
Geometry - Unit 2 Readiness Assessment
This assessment is to identify your current math knowledge. Do not worry if you do not know all of the
answers. Please try to answer every question.
1.
Which best describes the relationship between polygon GHJK and polygon G'H'J'K?
A. They are similar because polygon G'H'J'K' can
be obtained from polygon GHJK by a sequence
of transformations.
B. They are similar because the area of polygon
G'H'J'K' is the same as the area of polygon
GHJK.
C. They are NOT similar because polygon
G'H'J'K' cannot be obtained from polygon
GHJK in a single transformation.
KA
D. They are NOT similar because the orientation of
polygon G'H'J'K' is not the same as the
orientation of polyon GHIK
Answer:
1. A. They are similar because polygon G'H'J'K' can be obtained from polygon GHJK by a sequence of transformation
2. B. Reflection across the y-axis
Step-by-step explanation:
1) The coordinates of the sides of the polygon are;
G(-6, 8), H(-2, 4), J(-4, 2), and K(-8, 2)
G'(3, -1), H'(1, -3), J'(2, -4), K'(4, -4)
The length, l, of the sides are;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Length of GH = √((8 - 4)² + ((-6) - (-2))²) = 4·√2
Length of HJ = √((2 - 4)² + ((-4) - (-2))²) = 2·√2
Length of JK = √((2 - 2)² + ((-4) - (-8))²) = 4
Length of KG = √((2 - 8)² + ((-8) - (-6))²) = 2·√10
Similarly, we have;
Length of G'H' = √(((-3) - (-1))² + (1 - 3)²) = 2·√2
Length of H'J' = √(((-3) - (-4))² + (1 - 2)²) = √2
Length of J'K' = √(((-4) - (-4))² + ((4)- 2)²) = 2
Length of K'G' = √(((-4) - (-1))² + ((4) - 3)²) = √10
Therefore, the polygon G'H'J'K' can be obtained from the polygon GHJK by scaling down by a factor of 2, and the two polygons are similar
2) Given that the coordinates of figure 2 are (-2, 3) (-3, 5), (-4, 1), and (-6, 1), while the corresponding coordinates of figure 3 are (2, 3), (3, 5), (4, 1), and (6, 1) which is equivalent to a transformation from (x, y) to (-x, y) which is the transformation involved in a reflection across the y-axis
Both the polygons are similar because polygon G'H'J'K' can be obtained from polygon GHJK by a sequence of transformations.
Given :
Polygon GHJK and polygon G'H'J'K'.Coordinates -- G(-6,8), H(-2,4), J(-4,2), K(-8,2), G'(3,-1), H'(1,-3), J'(2,-4), and K'(4,-4).The distance formula can be used in order to determine the length of segments of the given polygon.
[tex]\rm GH=\sqrt{(-2+6)^2+(4-8)^2} =\sqrt{32}[/tex]
[tex]\rm HJ=\sqrt{(-4+2)^2+(2-4)^2} =\sqrt{8}[/tex]
[tex]\rm JK=\sqrt{(-8+4)^2+(2-2)^2} =\sqrt{16}=4[/tex]
[tex]\rm GK=\sqrt{(-8+6)^2+(2-8)^2} =\sqrt{40}[/tex]
[tex]\rm G'H'=\sqrt{(1-3)^2+(-3+1)^2} =\sqrt{8}[/tex]
[tex]\rm H'J'=\sqrt{(2-1)^2+(-4+3)^2} =\sqrt{2}[/tex]
[tex]\rm J'K'=\sqrt{(4-2)^2+(-4+4)^2} =\sqrt{4}=2[/tex]
[tex]\rm G'K'=\sqrt{(-4+1)^2+(4-3)^2} =\sqrt{10}[/tex]
Therefore, the correct option is A) They are similar because polygon G'H'J'K' can be obtained from polygon GHJK by a sequence of transformations.
For more information, refer to the link given below:
https://brainly.com/question/17756657
Wayne walked from the car dealership to the post office and then from the post office to the garbage dump. How far did Wayne walk in all? garbage dump car dealer .
Answer:
I want to say seven units
Step-by-step explanation:
I believe he went 4 units up and 3 units left if he went to just the car dealership , post office and Garbage dump .
Hope I could help -
Sleepy~
ABC = EDC, AB = 7 A=40° E = ?
Answer:
This equation is unsolvable, You may have inputted it wrong. revise and try again.
Step-by-step explanation:
It took 45 minutes to jog 5 miles. At this rate, how long did it take to jog 1
mile? *
Answer:
9 minutes
Step-by-step explanation:
45 ÷ 5 = 9
Therefore, it was 9 mins / mile
Hopefully this helped! :D
-LavenderVye
Answer:
9 minutes to jog 1 mile
Step-by-step explanation:
Time = 45
Distance = 5
Speed = [tex]\frac{Distance}{Time}[/tex]
= [tex]\frac{45}{5}[/tex]
= 9
complete the table by determining the y values
y=2×+3
Answer:
Step-by-step explanation:
6
what is the slope of the line that passes through the points A(-2,-1) and D (3,5)?
Answer:
6/5
Step-by-step explanation:
m=(y2-y1) /(x2-x1)
m=(5-(-1)) / (3-(-2))
m=(5+1) /(3+2)
m=6/5
Can I have the answer to these pls
Answer:
6) 4n+w+4h-b-16
Terms: 4n, w, 4h, -b, -16
Variable: n, w, h, b
Constant: -16
Coefficients: 4, 1, 4, -1
Step-by-step explanation:
Terms:
just substitute the '+' and '-' with comma.
For example: b+4x+54+6y+22 becomes b, 4x, 54, 6y, 22
Variables:
just list the letters (only)
For example: 8y-7+2y becomes x, y
Constants:
it is the number by themselves, no letter
For example: 5-4x-8y becomes just 5
Coefficients:
the number in front of letter (dont forget the sign, also if no number such as 'b', the coefficient is 1 because we dont typically write 1, it is assumed it goes there)
For example: 6m-2n+7 becomes 6 and -2
One Step Equations
solve for x
2.4+x=9.8
Answer:
x=7.4
Step-by-step explanation:
2.4+x=9.8
(x=9.8-2.4)
x=7.4
Answer:
7.4
Step-by-step explanation:
2.4+x=9.8
subtract 2.4 from both sides to get:
x=7.4
that's your answer :)
What is the area of the polygon H(3, 2), I(5, 2), J(5, 7), K(3, 7)
Answer:
area = 10
Explanation:
2x - 5y + 3z = 27
4x + 3y - 7z=-37
x - 2y + 5z = 30
I need help solving this with cramers rule
Step-by-step explanation: answer {x,y,z} = {1,-2,5}
/ Solve equation [3] for the variable x
[3] x = 2y - 5z + 30
// Plug this in for variable x in equation [1]
[1] 2•(2y-5z+30) - 5y + 3z = 27
[1] - y - 7z = -33
// Plug this in for variable x in equation [2]
[2] 4•(2y-5z+30) + 3y - 7z = -37
[2] 11y - 27z = -157
// Solve equation [1] for the variable y
[1] y = -7z + 33
// Plug this in for variable y in equation [2]
[2] 11•(-7z+33) - 27z = -157
[2] - 104z = -520
// Solve equation [2] for the variable z
[2] 104z = 520
[2] z = 5
// By now we know this much :
x = 2y-5z+30
y = -7z+33
z = 5
// Use the z value to solve for y
y = -7(5)+33 = -2
// Use the y and z values to solve for x
x = 2(-2)-5(5)+30 = 1
In triangle BCD overline BC cong overline BD ,m angle B=13x-35 , m angle C=5r-19 and m angle D=2r+14 , find x and the measure of each angle.
Answer:
136
Step-by-step explanation:
Answer:
The measure of m<B, m<C and m<D are 108, 36 and 46
Step-by-step explanation:
What are triangles?
From the triangle BCD, if BC=BD, then
m<C = m<D (Base angles are equal)
Given the following paramters:
m<C = 5x-19
m<D = 2x + 14
Hence;
5x - 19 =2x + 14
5x- 2x = 14 + 19
3x = 33
x = 11
m<B = 13x - 35
m<B = 13(11) - 35
m<B = 108 degres
m<C = 5x - 19
m<C = 55- 19
m<C = 36
m<D = 180 - 144
m<D = 36 degreees
what is the value of the expression below when w=9 and x=2
w — 4x
Answer:
The answer is 8.
Step-by-step explanation:
You multiply first
Which expression is equivalent to -6(-2/3+2x)?
Answer:
4+(-12x)
Step-by-step explanation: Hope this helped!
What is the value of 2.4 -(-3.6)?
Answer:
6 positive
Step-by-step explanation:
if u subtract a negative you are really just adding a positive. ok? ok.
Answer:
6
Step-by-step explanation:
2.4 - (-3.6) is as if it's addition. You're subtracting a negative number, so it becomes like addition.
It's as if someone had 10 apples and left and you got the apples, so the act of removing them got you more apples.
Please help me!
The basketball team of Martin Luther King High School won 12 of its first 15 games. Then it won its next 3 games. The percent of winning games was:
(A) 80% (B) 75% (C) 60% (D) 83 1/3 % (E) 78%
Answer:
D
Step-by-step explanation:
15/18 is 83 1/3
BTW do you go to RSM?
Answer:
D: 83 1/3%
Step-by-step explanation:
They won 15/18 games. 15/18 is 0.83333333333... Therefore, 83 1/3%.
please help will give brainliest! :)
Answer:
it's 13 square units hope this helps
pls help me
8c - 6 - 5с 3
Answer:
3c + 3 please give brainliest
Step-by-step explanation:
it might be subtraction sign please give brainliest
i need help with #4
anyone pls?
Answer:
C. 0 6 10
Step-by-Step-Explanation:
the number on the left of the indicated operation is the original set
the number '2' next to R shows that you need to multiply certain numbers by 2
the subscript on the R's shows which row the multiplication needs to be done on...
so in this case, leave the second row alone: 1 3 4
but multiply the first row by 2: 0 6 10
PLSSS HELP PLSSSS IM SUFFERING IM NOT A LAZY NOR BAD STUDENT BIT THIS IS HARD FOR MEEE PLSSS HELPPP
Answer:
OOP
Step-by-step explanation:
oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop!
E
What is the value of d to the nearest hundredth?
d
7.2
D
42°
d
The triangle has 3 sides and angles. The measure of "d" from the given diagram is 6.48
Application of SOH CAH TOAThe given diagram is a triangle. According to the SOH CAH TOA identity;
tan theta= opp/adj
Given the following
opp = d
adj = 7.2
Substitute
tan 42 = d/7.2
d = 7.2tan42
d = 6.48
Hence the measure of "d" from the given diagram is 6.48
Learn more on SOH CAH TOA here:https://brainly.com/question/20734777
#SPJ1
If $140.06 is charge for 47 kilowatt-hours of electricity, the rate is _________ centavos per kilowatt-hours
Answer:
2.98 centavos
Step-by-step explanation:
Divide 140.06 by 47
If x and y are positive integers such that the greatest common factor of x^2y^2 and xy^3 is 27, then which of the following could y equal?
A 81
B. 27
C. 18
D. 9
E 3
Suppose the average lifetime of a certain type of car battery is known to be 60 months. Consider conducting a two-sided test on it based on a sample of size 25 from a normal distribution with a population standard deviation of 4 months.a) If the true average lifetime is 62 months and ďˇ =0.01, what is the probability of a type II error
Answer:
0.53187998
Step-by-step explanation:
We are given;
Population mean; μ = 60
Sample size; n = 25
Population standard deviation; σ = 4
Significance level; α = 0.01
Let's define the hypothesis;
Null hypothesis;H0: μ = 60
Alternative hypothesis;Ha: μ ≠ 60
Z-score for a significance level of 0.01 from tables is z = 2.575
Since it's a 2 sided test, then;
Z-score at lower limit = -2.575
Z-score at upper limit = 2.575
We know that z-score formula is;
z = (x¯ - μ)/(σ/√n)
At lower limit;
-2.575 = (x¯ - 60)/(4/√25)
-2.575 × 0.8 = x¯ - 60
-2.06 = x¯ - 60
x¯ = 60 - 2.06
x¯ = 57.94
At upper-limit;
2.575 = (x¯ - 60)/(4/√25)
2.575 × 0.8 = x¯ - 60
2.06 = x¯ - 60
x¯ = 60 + 2.06
x¯ = 62.06
the probability of a type II error is expressed as:
β = P(57.94 < x¯ < 62.06)
If the true average lifetime is 62 months, then;
β = P((57.94 - 62)/(4/√25)) < z < (62.06 - 62)/(4/√25)
β = P(-5.08 < z < 0.08)
β = P(Z < 0.08) - P(Z < -5.08)
From z-distribution table attached, we have; P(Z < 0.08) = 0.53188
Also, from z-distribution calculator online, we have;
P(Z < -5.08) = 0.0000000189
Thus;
β = 0.53188 - 0.0000000189
β ≈ 0.53187998
Is this a function (1,17),(0,16),(0,15),(-2.17)
Answer:
no
Step-by-step explanation:
because there is two 0
Can anyone help please? I just need the Y-intercept is all, Thank you!
Answer:
4.95
Step-by-step explanation:
Mrs. Sung gave a test in her trignonmetry class. The scores were normally distributed with a mean of 85 and a standard deviation of 3.
What percent would you expect to score between 88 and 91? Round answer to the nearest tenth.
Answer and explanation:
67% as it's +/- one standard deviation from the mean
Find the quotient. Round to the nearest hundredth,5,434 divided by 12
Answer:
452.83
Step-by-step explanation:
Linear equation: -1
2
(6x + 10) = 13
Step 1: –3x – 5 = 13
Step 2: –3x = 18
Step 3: x = –6
Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
the addition property of equality and then the division property of equality
the addition property of equality and then the multiplication property of equality
the subtraction property of equality and then the division property of equality
the subtraction property of equality and then the multiplication property of equality
Answer:
The right answer is:
the addition property of equality and then the division property of equality
Step-by-step explanation:
Given equation and steps to solve it are:
Step 1: –3x – 5 = 13
Step 2: –3x = 18
Step 3: x = –6
In step two, -5 has to be removed from left hand side of the equation so additional property of equality will be used i.e. adding 5 on both sides
Similarly in the third step, to remove -3 with x , division property of equality will be used i.e. dividing both sides by -3
Hence,
The right answer is:
the addition property of equality and then the division property of equality
Answer:
A) the addition property of equality and then the division property of equality
Step-by-step explanation:
If p→q is true and p is true, then we know q is true.
True
False
Answer:
false
Step-by-step explanation:
I have an unanswered question for 50 points right now it's pretty hard but my brother needs help he is almost in tears please I feel so bad for him
where is the question
Answer:
hi
Step-by-step explanation:
hi