Answer:
a) There are two possibilities for rigid transformation:
(i) 180° counterclockwise rotation around point B.
(ii) 180° clockwise rotation around point B.
b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.
c) The corresponding angles and sides are presented below:
[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]
[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]
Step-by-step explanation:
a) There are two possibilities for rigid transformation:
(i) 180° counterclockwise rotation around point B.
(ii) 180° clockwise rotation around point B.
b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.
c) The corresponding angles and sides are presented below:
[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]
[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]
PLEASE HELP ILL DO THE SAME PLEASE AND I NEED STEP BY STEP IM TRYING TO LEARN :(
Answer:
5)
Line 1: [tex]y=-x+3[/tex]
Line 2: [tex]y=3x-3[/tex]
6)
Line 1: [tex]y=\frac{1}{2}x-2[/tex]
Line 2: [tex]y=-\frac{5}{2}x+6[/tex]
7)
See below
Step-by-step explanation:
To write the system of equations on the graph, you just need to write the 2 equations of the 2 lines.
5)
The first thing to do is find the slope of the lines. Pick one of them, and start by finding 2 points on that line that land perfectly on the grid.
It's pretty hard to read that top graph in the photo, but I think I see these ones marked:
Line 1: (0, 3) and (3, 0)
Line 2: (0, -3) and (2, 3)
Make sure I got them correct, because the equations will be wrong otherwise. Same for problem 6. To find the slope, divide the change in y by the change in x. Starting with line 1, y went from 3 to 0, so a change of -3. x went from 0 to 3, so a change of 3.
Divide the change in y by the change in x:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0-3}{3-0}\\\\m=\frac{-3}{3}\\\\m=-1[/tex]
The slope of line 1 is -1. That means every time x increases by 1, y decreases by 1. You can see that on the line.
Now for line 2:
[tex]m=\frac{3--3}{2-0}\\\\m=\frac{6}{2}\\\\m=3[/tex]
When x increases by 1, y increases by 3.
The last thing to do is find the y-intercept of both lines. That's just where the line intersects the y-axis, at x = 0, and it's clearly visible on the graph so there isn't much to do.
Line 1: 3
Line 2: -3
Now, you can write the equations for these lines in slope intercept form:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept we found above.
Line 1: [tex]y=-x+3[/tex]
Line 2: [tex]y=3x-3[/tex]
In line 1, -1x can be simplified to just -x.
6)
I'll do the exact same process here, but with less explaining. Let me know if you have any questions.
Find 2 points:
Line 1: (0, -2) and (4, 0)
Line 2: (0, 6) and (4, -4)
Find the slope of line 1:
[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0--2}{4-0}\\\\m=\frac{1}{2}[/tex]
and line 2:
[tex]m=\frac{-4-6}{4-0}\\\\m=\frac{-10}{4}\\\\m=-\frac{5}{2}[/tex]
Now, the y-intercepts:
Line 1: -2
Line 2: 6
Write the equations:
Line 1: [tex]y=\frac{1}{2}x-2[/tex]
Line 2: [tex]y=-\frac{5}{2}x+6[/tex]
7)
A system with 1 solution means 2 lines that intersect at 1 point. Problems 5 and 6 are both examples of this. A system with no solution means lines that never intersect, meaning that they have the same slope, they're parallel.
Example:
[tex]y=2x+1\\y=2x+2[/tex]
Those both have a slope of 2, and if you graph them, you'll see that they never intersect.
A system with infinitely many solutions means they intersect at every possible point. These would just be the same line.
Example:
[tex]y=2x+1\\y=2x+1[/tex]
That's what they are, graph them however you like.
In angle PQR, angle P = (4x – 14)º, angle Q = (5x + 6)", and angle R= (x - 2)°. Find
angle R.
we have: ∠P + ∠Q + ∠R = 180°
<=> (4x – 14)º + (5x + 6)° + (x - 2)° = 180°
<=> 4x – 14 + 5x + 6 + x - 2 = 180°
<=> 10x - 10 = 180°
<=> 10x = 190
<=> x = 19°
So: ∠R = (x - 2)° = (19 - 2)° = 17°
ok done. Thank to me :>
i need help asap please Question: A dress is on sale for d dollars. The regular price is 3 times as much.
Janine has enough money to buy 2 dresses at the regular price.
How many dresses can Janine buy at the sale price?
Answers i can choose from
A.
1 dress
B.
3 dresses
C.
6 dresses
D.
9 dresses 4th grade work
Answer:
It's C
Step-by-step explanation:
You can just use simple resoning to solve this. If the orginal dress cost three times as much as the dress on sale. Then the dress on sale would cost three times as less as the original dress. Let me know if i'm wrong tho
AGHHHHHH I REALLY NEED HELP!!!!!!!!!!!! (pls actually answer it though!)
tysm if u answer it:)
Answer:
23/99 or 0.22222222222222.
Step-by-step explanation:
Answer:
23/99
Step-by-step explanation:
Which value of y makes the equation y+4.2=21 true?
Answer:
16.8
Step-by-step explanation:
21-4.2= 16.8
will give brainliest!
Answer 4/5 now give brainliest
Find the difference.
5 and two-thirds minus 2 and one-half equals what number?
A. three and one-sixth
B. three and two-thirds
C. three and one-half
D. three and five-sixths
Answer:
A
Step-by-step explanation:
5 2/3 - 2 1/2 = 3 2/3 - 1/2 = 3 4/6 - 3/6 = 3 1/6
14.
Considered a sample of 52 football games where 32 of them were won by the home team use a 0.01 significance level to test the claim that the probability that the home team wins is greater than one half
Answer: Yes the win level is greater than 1/2
Step-by-step explanation: 32/52 is greater than 1/2
Find the equation of the line with slope of 2 passing through (3,1)
pplleeaassee
The equation of the line is y-2x+5=0 I believe. Good luck :)
The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. A parallelogram that is not drawn to scale. The height is labeled (x minus 4) centimeters. The base is labeled (2 x squared 2 x minus 6) centimeters. Which simplified expression represents the area of the parallelogram? â€"4x3 14x â€" 24 square centimeters 2x3 â€" 6x2 â€" 14x 24 square centimeters â€"4x3 â€" 14x 24 square centimeters 2x3 6x2 14x 24 square centimeters.
The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24
The base of the parallelogram is represented by b
[tex]b = (x - 4)[/tex]
The height of the parallelogram is represented by h
[tex]h = (2 {x}^{2} - 6)[/tex]
The area of the parallelogram is represented by A
A = bh
A = (x - 4)(2x²- 6)
A = 2x³ - 6x - 8x² + 24
A = 2x³ - 8x² - 6x + 24
The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24
Learn more here: https://brainly.com/question/25601035
Answer:
B. 2x3 – 6x2 – 14x + 24 square centimeters
Step-by-step explanation:
Have the day you deserve :)
Kate owns a shoe store in Los Angeles. Whenever she orders a new style of shoe, she orders 4 pairs of that style in each of the most popular sizes. The most popular sizes are 6, 7, 8, 9, and 10. She also orders 2 pairs in size 5 and 2 pairs in size 11.
For every new style, how many pairs of shoes does she need to order in total?
Answer:24
Step-by-step explanation: you multiply 4x5 because there are 5 popular sizes and she buys 4 of each and you add the 4 extra to get 24
Jamie owns a house painting service. for each house, she charges $70 plus $40 per hour of work. A linear equation that expresses the total amount of money Jamie earns per house is y=70+40x. What are the independent variables? What is the y-intercept and the slope?
Answer choices:
Answer:
Slope:40 Y-intercept: 70 (AKA, B)
Step-by-step explanation:
y=mx + b
(mx is slope, the x can show u where the slope is usually located.)
let me know if im wrong
A pair of dice is rolled. What is the probability that the sum is nine or that the first number is a two?
Answer:
I think is 1/9
Because they say the sum is 9 and what will be chance in landing in 2
14.06 as a mixed number
14 3/50
Good luck with the rest... I highly reccomend using Math way (spell it together)
pls hurry will mark brainliest if you show work pls
x + 10 = - x + 28
Step-by-step explanation:
2x = 18
Divide both sides by 2
x = 9
[tex]\sf 12(3+5)[/tex]
Hi,
12(3 + 5) = 12*3 + 12*5 = 36 + 60 = 96
I hope it helped.✅
Answer:
[tex]12(3 + 5) = 12 \times 3 + 12 \times 5 \\ = 36 + 60 \\ = 96[/tex]
What is the next term of the geometric sequence?
192, 48, 12,
Answer:
3
Step-by-step explanation:
The pattern is dividing 4 each time.
192/4=48
48/4=12
12/4=3
Hope this helps! Plz give brainliest!
[tex]\sqrt{x} ^{2}-\sqrt{27}[/tex]
Answer:
[tex]x - 3\sqrt{3} [/tex]
Study hard!
Brainliest please thank you!
A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?
A) 3cm
B)7.5
C) 15cm
D) 18.5cm
Answer:
C) 15 cm is the best estimate.
Step-by-step explanation:
The exact answer is not there, so 15 is the best estimate.
You can use this equation to help you:
d=C/π
Where d is the diameter.
C is the circumference.
And the last one is Pi.
You know that C = 45, so divide that by Pi (3.14).
45/3.14159 = 14.32
The closest answer is 15.
Hope this helps! Have a great day!
Answer:
The best estimate of the circle's diameter is 15cm.Step-by-step explanation:
Circumference = 2πr = 45cm=> 2 x π x r = 45 cm=> 2 x 22/7 x r = 45 cm=> 44/7 x r = 45=> 44r/7 = 45=> 44r = 315=> r = 7.16 (Rounded)=> Dia. = 7.16 x 2=> Dia. = 14.32=> Dia. ≈ 15 cmConclusion:
Therefore, the best estimate of the circle's diameter is 15cm.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
[tex]\huge \dag \sf{Answer \: it}[/tex]
Refer to attachment.
Note: Spams not allowed.
Don't Copy
If you don't know the answer don't answer
Need Answer with explanation.
Thank You!
Answer:
[tex]option \: (b) \: is \: ur \: answer \: to \: the \: question \: [/tex]
[tex]to \: know \: the \: answer \: with \: proof[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
[tex]f = \frac{rn}{1 - r} [/tex]
[tex]\huge \tt༆ Answer ༄[/tex]
The required expression is ~ B
[tex] \boxed{ \sf \: F = \dfrac{ RN }{ 1 - R} }[/tex]
Refer to the attachment for Solution ~
Which equation is equivalent to the formula m = ca? a = cm a equals m over c c = am c equals a over m.
Answer:
a = m/c
Step-by-step explanation:
I translated the paragraph into these options. Please check accuracy.
m = ca?
a = cm No, a = m/c
a = m/c Yes
c = am No, c = m/a
c = a/m No, c = m/a
The option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.
Given to us:
[tex]m=ca[/tex]
dividing both sides by c, we get
[tex]m=ca\\\\\dfrac{m}{c}=\dfrac{ca}{c}[/tex]
canceling c from right hand side, we get
[tex]\dfrac{m}{c}=a \\\\a=\dfrac{m}{c}[/tex]
Therefore, the option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.
To know more visit:
https://brainly.com/question/9559346
can you please help me with this question please
Answer:
c=$214.28
Step-by-step explanation:
Since you have the (p) value (p=285.7) all you need to do is plug it into one of these two equations
c=0.75p --- c=0.75(285.7)= 214.275-- 214.28
c=0.4p+100 --- c= 0.4(285.7) + 100 --- c= 114.28 +100 -- c= 214.28
either way its the same, just plug it into one or the other
3/5n + 15 = 10 + 2/5n
n = ?
Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?
Answer:
£3691 (nearest pound)
Step-by-step explanation:
Consider the rate of compound interest is r and the initial amount of savings is P, hence
[tex]P \ + \ P \ \times \ r \ = \ P \ (\ 1 \ + \ r \ ) \qquad (Final \ amount \ for \ the \ 1st \ year ) \\ \\ \ P \ (\ 1 \ + \ r \ ) \ + \ P \ (\ 1 \ + \ r \ ) \ \times \ r \ = \\ \ P\ ( \ 1\ + \ r \ ) \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^2 \qquad (Final \ amount \ for \ the \ 2nd \ year) \\ \\ \ P \ {(\ 1 \ + \ r \ )}^2 \ + \ P \ {(\ 1 \ + \ r \ )}^2 \ \times \ r \ = \\ \ P\ {( \ 1\ + \ r \ )}^2 \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^3 \\ \\ (Final \ amount \ for \ the \ 3rd \ year)...[/tex]
Therefore, the final amount of savings after nth years of compund interest is
[tex]P \ {( \ 1 \ + \ r \ )}^n[/tex].
Given that 4.2% compound interest was used for the first 4 years to a savings of £2350, thus
[tex]Final \ amount \ for \ the \ first \ 4 \ years \ = \ 2350 \ {( \ 1 \ + \ \frac{4.2}{100} \ )}^4 \ = \ 2770.36[/tex]
Then, taking the final amount of savings previously into an initial amount for the next 6 years with 4.9% compound interest.
[tex]2770.36 \ {( \ 1 + \frac{4.9}{100} \ )}^6 \ = \ 3691.40 \ = \ 3691 \ (nearest \ pound)[/tex]
Please Help, And Include Explanation. I will Give Brainliest To Best Answer
Answer: what’s the question I would love to help but there’s no question maybe try to post it again and I will see if I can answer?
Answer:
No question so no answer (just getting points i guess)
Step-by-step explanation:
what is 1/5 times 5/6 use a fraction modelto to help you solve.
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
A box of 15 markers cost is $2.40 how much will a box of 40 marker’s cost
Answer:
$6.40
Step-by-step explanation:
Answer:
Step-by-step explanation:
6.4
What is the slope of the line?
If x = 4 and y = -2, the value of 1/2 xy2 is
Answer:
8
Step-by-step explanation:
Substitute the given values into the expression
[tex]\frac{1}{2}[/tex] xy²
= [tex]\frac{1}{2}[/tex] × 4 × (- 2)²
= 2 × 4
= 8
Which best describes how to add 9.73 and 21.6?
Answer:
31.33
Work:
1 1
9.73
+ 21.60
--------------------
31.33
Final Answer:
Therefore, 31.33 is our answer.
Hoped this helped.