A quadrilateral has vertices A, B, C, and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line, and D is 9 units away from the line. When quadrilateral ABCD is reflected about the line of reflection to create a new quadrilateral A'B'C'D', which resulting point is closest to the line of reflection? (1 point) O A' O B O D' OC
Answers
Answer:
The correct option is O B'
Step-by-step explanation:
We have a quadrilateral with vertices A, B, C and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line and D is 9 units away from the line.
Now we perform the reflection and we obtain a new quadrilateral A'B'C'D'.
In order to apply the reflection to the original quadrilateral ABCD, we perform the reflection to all of its points, particularly to its vertices.
Wherever we have a point X and a line of reflection L and we perform the reflection, the new point X' will keep its original distance from the line of reflection (this is an important concept in order to understand the exercise).
I will attach a drawing with an example.
Finally, we only have to look at the vertices and its original distances to answer the question.
The vertice that is closest to the line of reflection is B (the distance is 4 units). We answer O B'
Related Questions
CD and EF are parrellel to AB.They divide the area of triangle PAB into three equal parts. If PE=1, what is AC?
Answers
Answer:
AC is approximately 0.3178
Step-by-step explanation:
The given parameters are;
In ΔPAB
CD ║ EF ║ AB
The area of triangle ΔPEF = 1/3 × area of triangle ΔPAB
Therefore, PE = 1/√3·PA
PA = √3
We have area of ΔPCD = 2/3 × area of triangle ΔPAB
∴ PC = √(2/3) × PA = √(2/3) × √3
PC = √2
Therefore, AC = PA - PC = √3 - √2
AC = √3 - √2 ≈ 0.3178
if $3.50 per bag of five apple how much is one apple
Answers
Answer:
70¢ per apple
Step-by-step explanation:
Because it's $3.50 per bag of 5 apples, you can divide $3.50 and 5 by 5 to get 70¢ per apple.
Answer:
70⊄
Step-by-step explanation:
$3.5 ÷ 5 = 70⊄
Find the solution of the system of equations.
First equation,
4x – 3y = -13
Second equation,
-2 + 6y = -44
Answers
Answer:
the answer is Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−17/2, -7)
Equation Form:x=-17/2 y=-7
Answer:
Step-by-step explanation:
I will answer it if the other person doesnt
7. The graph of the linear function is shown on the coordinate grid below.
Answers
Answer: C . The slope is -4/3 and the y-intercept is 4.
Step-by-step explanation:
Using the two given points, we will use them to evaluate the slope and the y intercept.
(-1.5,6)
( 4.5,-2)
To find the slope we will find the difference in the y coordinates of the points and divide it by the difference in the x coordinates of the point.
6-(-2) = 8
-1.5 - 4.5 = -6
Slope : 8/-6= -4/3.
Since the slope is -4/3, we will use the formula y= mx + b to find the y intercept. In the formula y= mx + b, the slope is m and b is the y intercept.
Use one of the given points, and input its x and y values into the formula including the slope to solve for b(the y-intercept).
We will use the point, ( -1.5,6)
6 = -4/3(-1.5) + b
6 = 2 + b
-2 -2
b = 4.
b is indeed equal to 4 because it even indicates on the graph that the y intercept is 4 which is where x is equal to 0.
5b-b-1 > or equal too-11
Answers
Answer:
-2.5
Step-by-step explanation:
5b - b - 1 ≥ -11
4b - 1 ≥ -11
+1 +1
4b ≥ -10
4/4 -10/4
b ≥ -2.5
Answer:
b ≥ [tex]-\frac{5}{2}[/tex]
Step-by-step explanation:
The expression:
5b - b - 1 ≥ -11
Now to solve this problem, we must be aware of some rules of inequality.
When dividing or multiplying with a negative value, the sign of the inequality must change;
5b - b - 1 ≥ -11
4b - 1 ≥ -11
Add + 1 to both sides;
4b -1 + 1 ≥ -11 + 1
4b ≥ -10
Now divided both sides by 4;
[tex]\frac{4b}{4}[/tex] ≥ [tex]\frac{-10}{4}[/tex]
b ≥ [tex]-\frac{5}{2}[/tex]
HELP THIS WAS DUE A LONG TIME AGO PLAS HELP MEH ILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!?!??!?!?!?!?!?
Answers
Answer:
Divisor
Step-by-step explanation:
You are dividing by the 5, which means it is the divisor.
Hope this helps!
!!!HELP ME WITH THIS QUESTION PLEASE!!!
Answers
Answer:
A.
Step-by-step explanation:
Can you mark me brailiest tho...?
this is a bit tricky question cause in some casses it is coming wrong but I guess it is option a
I can’t find an answer anywhere
Answers
Answer:
B
Step-by-step explanation:
hope it helps
Just find x and y coordinates x coordinates on the horizontal axis and y coordinates on vertical axis
2.4 x 102 and 2.4 x 103 expressed in scientific notation?
Answers
Hope this helped!
Also can I please have Brainliest?
PLZZz HELP I WILL GIVE BRAINIEST
Answers
Answer:
Step-by-step explanation:
b = bouquet c = centerpieces
13b + 4c = 487
6b + 2c = 232
Please solve this 8-5x=4x-1
Answers
Answer:
x = 1
Step-by-step explanation:
Answer: x=1
Step-by-step explanation:
8-5x=4x-1--> since there are no like terms, we isolate the x8=9x-1 --> add 5x on both sides9=9x --> add 1 on both sidesx=1 --> divide by 9 on both sidesWhat is the constant of proportionality?
Answers
Answer:
B or 5
Step-by-step explanation:
25/5 =5
100/20 = 5
Mia and Merle together have $285. Mia wins $25 from Merle and then finds she has 4 times as much as Merle. How much did Mia have at first?
Answers
explained: i used the desmos calculator lol
The regular price of a video game is $50. The game is on sale for 20% off the regular price.
Find the sale price of the game.
Find the total price, with a sales tax rate of 8%. (*Hint: Sales tax is an additional amount paid.)
HELP PLEASE!!!
Answers
Answer:
Sale Price:
50x-20%=10
50-10= 40
Total Price:
40x-8%=3.20
40+3.20= 43.20
Step-by-step explanation: If you encounter more problems like this, use the x and - method! Its easier to understand and a shorter method :)
What is the radius of a circle with a diameter of 100
Answers
Answer:
50
Step-by-step explanation:
Hope this helps :)
Answer:50
Step-by-step explanation:
100 ÷ 2=50
.........................................................
Answers
Answer:
The volume of the figure is 126 cubic cm
Step-by-step explanation:
The figure consists of two rectangular prisms of dimensions 6 x 7 x 1 and 3 x7 x 4 respectively.
Calculate the first volume:
[tex]V_1=6~cm\cdot 7~cm\cdot 1~cm= 42~cm^3[/tex]
[tex]V_1= 42~cm^3[/tex]
Calculate the second volume:
[tex]V_2=3~cm\cdot 7~cm\cdot 4~cm= 84~cm^3[/tex]
[tex]V_2= 84~cm^3[/tex]
The total volume of the figure is the sum of both volumes:
[tex]V_t=V_1+V_2=42~cm^3+84~cm^3=126~cm^3[/tex]
The volume of the figure is 126 cubic cm
What is the Domain and Range of this figure?
Answers
Range = (-infinity, infinity)
PLEASE HELP I WILL GIVE BRAINALIST
Answers
Answer:
1. 300%
2. 108
3. 60
Step-by-step explanation:
Hope this helps!
26. 33.33% is 37 percent of 11
27. 48%
28. 60 seeds
Please help! I don’t get this :(
Answers
Answer:
A
Step-by-step explanation:
90 POINTS- Please help with this geometry question! I have the answer because I assumed it was congruent, but I don't have the statement reasons.
Answers
Answer:
A Δ DOC = 6 in²
Step-by-step explanation:
Look at the attached graph
∵ ABCD is a trapezoid with legs AB and CD
∴ AD // BC
In Δs ABC and DCB
∵ BC is a common base
→ The heights of the Δs drawn from the points A and D to the base
BC are equal because the line joining A and D, AD is parallel to
the base BC
∴ Their heights are equal
→ Triangles of the same base and equal heights are equal in areas
∴ A Δ ABC = A Δ DCB
∵ A Δ ABC = A Δ ABO + A Δ BOC
∵ A Δ DCB = A Δ DOC + A Δ COB
→ Equate their right sides
∴ A Δ ABO + A Δ BOC = A Δ DOC + A Δ COB
∵ A Δ BOC = A Δ COB ⇒ common triangle
∴ A Δ ABO = A Δ DOC
∵ A Δ ABO = 6 in²
∴ A Δ DOC = 6 in²
Can someone please help me on this ty!! ❤️
Answers
7.
y=x*5
8.
y=x divided by 16
9.
5/6
10.
10/1
Write equations for the horizontal and vertical lines passing through the point (4, -5).
horizontal line: 0
OO
Х
vertical line:
Answers
Answer:
Horizontal line: y=-5
Vertical line: x = 4
Step-by-step explanation:
As we have to determine the equations for the horizontal and vertical lines passing through the point (4, -5).
To determine the equation for the horizontal line passing through the point (4, -5), we must observe that the horizontal line will always have the same y-value regardless of the x-value.Therefore, the equation of the horizontal line passing through the point (4, -5) will be: y=-5
To determine the equation for the vertical line passing through the point (4, -5), we must observe that the vertical line will always have the same x-value regardless of the y-value.Therefore, the equation of the vertical line passing through the point (4, -5) will be: x=4
Hence:
Horizontal line: y=-5
Vertical line: x = 4
If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),
A. find each side length
B. classify the triangle based on the sides
Answers
Answer:
55
Step-by-step explanation:
What is the domain of the function shown in the graph?
Answers
Answer:
Step-by-step explanation:
domain holds all the x values and for this graph it looks like
0< x < -∞ or just x >0
yet I do not see this answer as an option
if it was range will be the y-values and the answer will be
A. x≥ -1
Find the estimated monthly payment for the following simple interest loan. Round your answer to the nearest dollar.
Answers
Answer:
$184
Step-by-step explanation:
I looked at an APR calculator
please help. it would be appreciated.
Answers
Answer:
a
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree
Answers
Answer:
14°
Step-by-step explanation:
Using inverse tangent and the opposite over adjacent you can find this. Tan*-1(8/33) and then just round up
f(x) = 2x4 – 14x3 + 33x2 – 26x
Given that x = 3 + i is a solution of the equatio
f(x) = 0, solve f(x) = 0 completely.
Answers
Answer:
x = 0, 2, 5/2 ± 1/2i
Step-by-step explanation:
I'm not really sure what the question is asking but I'm going to assume you want to find the zeroes of the function.
0 = 2x^4 - 14x^3 + 33x^2 - 26x
~Factor
0 = x(x - 2)(2x² - 10x + 13)
~Set factors to equal 0 and solve
x - 2 = 0
x = 2
2x² - 10x + 13 = 0
~Use quadratic formula
x = 0, 5/2 ± 1/2i
Best of Luck!
Hideki found the solution for the equation below to be r = 66.6(5 + r) = 96 What mistake did Hideki make in solving the equation? What is the correct solution?
A.He did not distribute 6 to r; r = 11.
B.He did not divide both sides by 6; r = 16.
C.He did not multiply both sides by 6; r = 571.
D.He did not subtract 5 from both sides; r = 15.
Answers
Answer:
A
Step-by-step explanation:
Answer:
See for the answer below:
Step-by-step explanation:
The answer is A.
Which expression is equivalent to (5^(3))^(2)
Answers
Answer:
Step-by-step explanation:
[tex](a^{m} )^{n}[/tex] = [tex]a^{mn}[/tex]
[tex](5^{3} )^{2}[/tex] = [tex]5^{3*2}[/tex] = [tex]5^{6}[/tex] = 15,625