Answers
Step-by-step explanation:
By rotating a figure,
The length of its sides remain the same.
Therefore line AB = line A'B'.
=> 5x - 14 = 4x + 4
=> x = 18
Hence, line AB = 5(18) - 14 = 76.
Answer:
The length of AB = 76 units.
Step-by-step explanation:
We know that Rotations, just like reflections, and translations, are termed isometric.
In other words, these transformations do not alter the size of the figure.
If the size and shape of the figure are not altered, then the figures are termed as congruent.
Given
AB = 5x-14
A'B' = 4x+14
As A'B'C'D' is obtained by rotating ABCD,
so
AB = A'B'
substituting AB = 5x-14 and A'B' = 4x+14
5x-14 = 4x+14
5x - 4x = 14+14
x = 18
Thus,
AB = 5x-14
substitute x = 18
AB = 5(18)-14
AB = 90 - 14
AB = 76
Therefore, the length of AB = 76 units.
Related Questions
please help asappppp
Answers
Answer:
9........I will post process in comments because you are needing this right now
pls helpp i need to pass
Answers
Answer:
38.9
Step-by-step explanation:
its right there???
PLZ HELP : If the vertex angle of an isosceles triangle has a measure of 50°, what are the measures of the two base angles? Explain your solution.
Answers
Answer:
If you subtract your vertex angle (50°) from 180°. You get 130°. This is now the degrees for both of your base angles.
e total cost of Anja's trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup an
aning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and
ue of x, the cost of each cavity filling?
4x+89.95=628.35; X = $134.60
4(89.95) + X = 628.35
X = $268.55
4x+89.95=628.35; X= $179.58
A(89.95)+ x = 628.35
X = $538.40
Answers
9514 1404 393
Answer:
(a) 4x+89.95=628.35; x = $134.60
Step-by-step explanation:
The total cost (628.35) is the cost per cavity (x) times the number of cavities (4), added to the flat fee (89.95). The equation for that is ...
4x +89.95 = 628.35
The solution to that is ...
x = (628.35 -89.95)/4 . . . . . subtract the constant, divide by 4
x = 134.60
There are 20 students enrolled in a history class. Eight of the students are female. Of the females in this class, 3 of them are wearing blue shirts. What is the probability that a randomly chosen student will be a female not wearing a blue shirt?
A. 2/5
B. 1/4
C. 3/20
D. 1/32
Answers
Answer:
THE ANSWER IS 1/4
Step-by-step explanation:
Enjoy? here a math question you guys might knoew
Answers
2% of 65 answer fast please
Answers
Answer:
2% of 65
2/100*65
13/10
1 3/10
Elsie bought a video game for $75.00. If the store charges 160% of what it paid for the game, how much is the store's profit?
Answers
Answer:
Step-by-step explanation:
what a store LOL
75*160/100=120
elsie paid for the game 75+120=195 dollars
store's profit=120
Here is a list of numbers,
51 38
48
36 39
40 39 47
a) Work out the range of the numbers in the list.
b) Work out the median of the numbers in the list.
Answers
Answer:
Concept: Mathematical Modeling
Range: Highest # - Lowest # Median is the middle value in an organized list 51-36= 15 Median: 36,38,39,39,40,47,48,51[tex] \frac{39 + 40}{2} = 39.5[/tex]Give brainlisthelp :( it's 4:36am and i still have a bunch of geometry hw to do and i have school tomorrow at 7. i just need some emotional support haha :') thanks.
Answers
Answer:
My emotional speech to you : Yolo UWU or you got this, I believe you can achieve great things, and you probs think hah no, but lOOk Me DeAd In thE EyE thrOuGh The scReen, HUnNy U GOt thIs, RePeAt It :)
what is 39×45-19÷12=
Answers
Answer:
I thank it is 1753.4
Step-by-step explanation:
i hope its right
can someone please help me on this question :) you may need to zoom in
Answers
Answer:
16 1/2 minutes
Step-by-step explanation:
2.8m = 46.2
m = 16.5
Answer:
maybe 16.5
Step-by-step explanation:
divide 46.2 with 2.8 and get 16.5
Please help me ASAP
Answers
Answer:
A, y-intercept = (0,24)
Step-by-step explanation:
The y intercept is the one without a variable. You have to solve to find it in the other options.
Answer:
The first choice would be the best one.
Step-by-step explanation:
The y intercept occurs when x = 0 of the given polynomial.
All 3 answers will give you the correct answer. The y intercept is (0,24)
but the first one will be the quickest because all you need to do to find it is just eliminate any term with x in it.
2x^2 when x = 0 is 0
16x when x = 0 is 0.
That only leaves m(0) = 24 found just by looking at it.
The second one also works. 2 (0+4)^2 - 8 = 32 - 8 = 24
And the third one as well 2(6)(2) = 24
A grocery store offers a 15% discount on your entire purchase when you spend more than $60. You have $85 to spend on groceries and the cost of the groceries in your cart is currently $60. The inequality 0.85(a+60)≤85 represents the cost a (in dollars) of groceries that you can add to your cart. Graph the solution of the inequality.
Answers
0.85(a + 60) ≤ 85
0.85a + 51 ≤ 85
-51 on both sides
0.85a ≤ 34
/0.85 on both sides
a ≤ 40
Answer:
a ≤ 40
A builder is using the drawing below to build a house. If the owner decides to increase the living room dimensions by 20%, what is the new length and width of the living room floor?
Answers
Answer:
The correct answer is A
Step-by-step explanation:
20% x 12 = 2.4
2.4 + 12 = 14.4
20% x 8 = 1.6
1.6 + 8 = 9.6
✧brainliest appreciated✧
I need help
-if you could do the explanation it would be appreciated
Answers
Step-by-step explanation:
³√512 = ³√(8³) = 8.
³√(-1728) = ³√(-12³) = -12.
√144 - ³√(-8)
= 12 - ³√(-2³)
= 12 - (-2)
= 14.
A train leaves at 0836 and arrives at 1057. It travelled at an average speed of 85 km/h. How far did it travel?
Answers
Answer:
199.75km
Step-by-step explanation:
Step one:
given data
We are told that the time of travel is from
8:36- to 10:57
which is 2 hours 21 minutes
Hence the time taken is 2.35 hours
the speed is 85km/h
Step two:
From the expression
speed= distance/time
85= distance/2.35
distance= 85*2.35
distance= 199.75km
Answer: it traveled a distance of 199.75Km
Step-by-step explanation:
From the question , Let 0836 be 8:36
and 1057 be 10:57
Time of departure= 8:36
Time of arrival = 10:57
Time traveled = 10:57- 08:36= 2 Hours 21 minutes
changing trhe time to hours becomes 21/60 = 0.35 hours + 2 HOURS = 2.35 hours
Step 2
Speed = Distance / Time
Distance = Speed x Time
=85 km/hr x 2.35 hours
=199.75Km
(5x² + 25x + 30)– (3x² + 6x + 3)
Answers
(5x^2+25x+30)-3x^2-6x-3
Then collect the like terms and remove rest of the parentheses
2x^2 +19x +27
Notice that the second polynomial is subtracted from the first.
It's important to understand that the minus sign outside the
second set of parenthses can be thought of as a -1.
So we need to distribute the -1 through each of
the terms in the second set of parenthses.
So our problem will now look like 5x² + 25x + 30 - 3x² - 6x - 3.
Now, we combine like terms.
So we have 2x² + 19x + 27.
which percent is equivalent to 12/25
Answers
Answer:
48 percent
Step-by-step explanation:
12 divided by 25 gets you .48 which can be expressed as 48%
Answer:
48%
Step-by-step explanation:
1. Change 12/25 to a fraction with a denominator of 100
25 x 4=100
12 x 4=48
2. Find the percent
48/100= 48%
Does anyone know this?
Answers
Answer:
42 cm²
Step-by-step explanation:
Length of the shaded rectangle = 7 cm
Width of the shaded rectangle= 7 - (0.5 + 0.5) = 7 - 1
Width of the shaded rectangle = 6 cm
Area of the shaded rectangle = L × W
Area = 7 × 6 = 42 cm²
what type of transformation is y=(x-2)^3+5
Answers
Alicia ran 5 miles over the weekend. Approximately how many kilometers did she run? [Use the conversion 1 mile ≈ 1.6 kilometers. Type your answer as a number.] kilometers
Answers
Answer:
Total distance Alicia run in kilometer = 8 Kilometer
Step-by-step explanation:
Given:
Total distance Alicia run = 5 miles
1 mile ≈ 1.6 kilometer
Find:
Total distance Alicia run in kilometer
Computation:
Total distance Alicia run in kilometer = 1.6 × 5
Total distance Alicia run in kilometer = 8 Kilometer
Explain your reasoning for why -3/4 is less than 5/8
Answers
Answer:
Step-by-step explanation:
-3/4 and 5/8
bc it's a negative number and not a positive number. When numbers are negative, the number keeps getting smaller and smaller. And when you add a positive number to a negative number, then the number will start increasing it's value.
Hope it helped a little
What is an equation of the line that passes through the point (−6,−1) and is perpendicular to the line 6x−y=7?
Answers
Answer:
y=-1/6x-2
Step-by-step explanation:
Lets find the slope of the given line
6x-7=y,m=6
The slope of the perpendicular line would be=-1/6
Using the point-slope form y-y1=m(x-x1)
y--1=-1/6(x--6)
y+1=-1/6(x+6)
6y+6=-x-6
6y=-x-6-6
6y=-x-12
y=-1/6x-2
p^2-4p+4=0
is this a quadratic equation
Answers
Answer:
2-4+4=0
Step-by-step explanation:
Help pls I don’t remember how to do this so how do u find x, y, and z in this
Answers
Answer: 3) x = 87°; y = 93°; z = 63°
Step-by-step explanation:
x + 33 + 60 = 180 since they form a triangle.
x + 93 = 180
Subtract 93 from both sides
x = 87°
x and y are linear pairs so they're supplementary.
y + x = 180
y + 87 = 180
Subtract 87 from both sides
y = 93°
z + y + 24 = 180 since they also form a triangle
z + 93 + 24 = 180
z + 117 = 180
Subtract 117 from both sides
z = 63°
Hope this helped!
Oh and nannara nanke demo ii yo, ikasete yaru kara. :p
IM CONFUSED PLEASE ANSWER THIS
Answers
We know he traveled 4.8 miles in 3 hours. However, since the question asks for his speed in miles per hour, we only want to know how far he travels in one hour. To find this, we just divide 4.8 by three, and find that he is traveling at 1.6 miles per hour.
Answer:
Speed = 1.6
Step-by-step explanation:
[tex]Speed=\frac{Distance}{Time} \\\\Speed = \frac{4.8}{3}=1.6[/tex]
What is the value of
[tex]3 \sqrt{64} [/tex]
8
4
-8
-4
Answers
Answer:
4
Step-by-step explanation:
4 * 4 * 4 = 64
8x + 7 + 7x - 2=90
I need this to be solved ASAP
Answers
Answer:
ok so
Step-by-step explanation:
8x + 7 + 7x - 2=90=>
=> 15x+5= 90
=> 15x=90 - 5=>
=> 15x =85= x= 5.6666...
Hey there!
“8x + 7 + 7x – 2 = 90”
• FIRST: COMBINE your LIKE TERMS
(8x + 7x) + (7 – 2) = 90
‘8x + 7x = 15x’
‘7 – 2 = 5x’
“15x + 5 = 90”
• SECOND: SUBTRACT by 5 on BOTH SIDES
15x + 5 – 5 = 90 – 5
CANCEL out: 5 – 5 because that gives you 0
KEEP: 90 – 5 because it helps us solve for your x-value
‘90 – 5 = 85’
NEW EQUATION:
“15x = 85”
• THIRD: DIVIDE by 15 on BOTH SIDES
15x/15 = 85/15
CANCEL out: 15/15 because that equals 1
KEEP: 85/15 because it gives us our x-value
Reduce: 85/15 and it gives us: x
Answer: x = 17/3 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers have an equal mean. If the two sets of numbers are combined, find the variance.
Answers
Given:
[tex]\sigma_A=3[/tex]
[tex]n_A=6[/tex]
[tex]\sigma_B=5[/tex]
[tex]n_B=4[/tex]
[tex]\overline{x}_A=\overline{x}_B[/tex]
To find:
The variance. of combined set.
Solution:
Formula for variance is
[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}[/tex] ...(i)
Using (i), we get
[tex]\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}[/tex]
[tex](3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]
[tex]9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]
[tex]54=\sum (x_i-\overline{x}_A)^2[/tex]
Similarly,
[tex]\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}[/tex]
[tex](5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]
[tex]25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]
[tex]100=\sum (x_i-\overline{x}_B)^2[/tex]
Now, after combining both sets, we get
[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}[/tex]
[tex]\sigma^2=\dfrac{54+100}{6+4}[/tex]
[tex]\sigma^2=\dfrac{154}{10}[/tex]
[tex]\sigma^2=15.4[/tex]
Therefore, the variance of combined set is 15.4.