Answer:
[tex]F'G' = 7[/tex]
Step-by-step explanation:
Given
[tex]F = (-2,4)[/tex]
[tex]G = (-2,-3)[/tex]
Required
Distance of F'G'
The transformation that give rise to F'G' from FG are:
TranslationReflectionThe above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.
i.e.
[tex]F'G' = FG[/tex]
Calculating FG, we have:
[tex]FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Where:
[tex]F = (-2,4)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]G = (-2,-3)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}[/tex]
[tex]FG = \sqrt{(0)^2 + (7)^2}[/tex]
[tex]FG = \sqrt{0 + 49}[/tex]
[tex]FG = \sqrt{49}[/tex]
Take positive square root
[tex]FG = 7[/tex]
Recall that:
[tex]F'G' = FG[/tex]
[tex]F'G' = 7[/tex]
7/8-1/2=
PLEASE HELP 15 POINTS
Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Given:
Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls.
[tex]\dfrac{4}{5}th[/tex] of this amount is blue paint and the rest is white paint.
To find:
The pints of white paint did she use to paint her bedroom walls.
Solution:
We have,
Total paint used = 6.3 pints
Blue paint = [tex]\dfrac{4}{5}th[/tex] of total paint used
= [tex]\dfrac{4}{5}\times 6.3[/tex]
= [tex]5.04[/tex]
White paint = Total paint used - Blue paint
= [tex]6.3-5.04[/tex]
= [tex]1.26[/tex]
Therefore, Sharon uses 1.26 pints of white paint to paint her bedroom walls.
Joley is opening her first checking account as a teenager. She doesn't have a job, so most of the income will be presents from birthdays and holidays. Bank A has a $8 monthly charge. Bank B charges 2% of the balance. Which account balance below will result in bank B being a better financial choice?
Answer:
the answer is A !
Step-by-step explanation:
Marking brainliest!
Why should we love ourselves and accept our body?
Answer: reasons to love yourself, plus how self-love can change your life. ... We don't always have a warm body to hold us in a hard moment. ... counterintuitive—claiming that the best way to change yourself is to accept yourself.
Step-by-step explanation:
Answer:
Because we are perfect just the way we are. What we think of ourselves is much more important than what other people think of us. Not to mention that there is literally no reason for someone to try to shame you about something unless they are jealous of you for one reason or another.
The measure of ABD is (0.18x + 67) degrees and the measure of CBD is (0.07 + 48) degrees. Find the value of X
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]ABD = 0.18x +67[/tex]
[tex]CBD = 0.07x + 48[/tex]
Required
Find x
The question is incomplete as the relationship between ABD and CBD is not stated.
Assume ABD = CBD
The solution is:
[tex]0.18x + 67 = 0.07x + 48[/tex]
Collect like terms
[tex]0.18x - 0.07x= - 67 + 48[/tex]
[tex]0.11x= -19[/tex]
Solve for x
[tex]x = -\frac{19}{0.11}[/tex]
[tex]x = -172.72[/tex]
Assume ABD and CBD are supplementary
The solution is:
[tex]ABD + CBD=180[/tex]
[tex]0.18x + 67 + 0.07x + 48 = 180[/tex]
Collect like terms
[tex]0.18x + 0.07x = - 48 - 67 + 180[/tex]
[tex]0.25x = 65[/tex]
Solve for x
[tex]x = \frac{65}{0.25}[/tex]
[tex]x = 260[/tex]
Assume ABD and CBD are complementary
The solution is:
[tex]ABD + CBD=90[/tex]
[tex]0.18x + 67 + 0.07x + 48 = 90[/tex]
Collect like terms
[tex]0.18x + 0.07x = - 48 - 67 + 90[/tex]
[tex]0.25x = -25[/tex]
Solve for x
[tex]x = \frac{-25}{0.25}[/tex]
[tex]x = -100[/tex]
A dog walking company charges $90 to walk 6 dogs. They charge the same amount of money to walk each dog. Which table represents the relationship between the number of dogs the company walks and the amount of money they charge?
Answer:
15
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
i did k12
45 minutes ago
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Background
Layout
Theme
Transition
4.
P:
Caleb invests $10,000 in a savings
account that pays 3% simple interest.
How many years will it take the account
to grow to $12,700, if he does not make
any withdrawals or deposits?
A 7 years
B 12 years
C 9 years
22 years
r:
t:
D
k to add speaker notes
Answer:
876889068
Step-by-step explanation:
PLEASE HELP FAST I thought I had it but I got it wrong and I'm on my last attempt.
Answer:
y= 2/3x-4
Step-by-step explanation:
I believe that is correct, I hope it helps
Answer:
y= -2/3 x -4
Step-by-step explanation:
y=mx+b so b is the y intercept which is -4 and the slope is -2/3 bc u rise 2 and run 3 from the point to the y intercept
a. The sum of two numbers is 22 and their difference is 14.
i. Form the simultaneous equations.
ii. Find the two numbers.
ILL GIVE BRAINLEST AND 50 PTS!
what is the area of this parallelogram?
36cm^2
67cm^2
77cm^2
98cm^2
Answer:
dont yu multiply them all
Step-by-step explanation:
1) The product of two numbers is 8. One of the numbers is x. Write an expression for the other number.
2) Fiifi is 3 years older than JoJo. If JoJo is x years old, write an expression for the sum of their ages.
Answer:
1 ) y = 8 / x
2 ) 3 + 2x
Step-by-step explanation:
1 )
One number = x
Let the other number be y.
The product of two numbers is 8,
( x ) ( y ) = 8
xy = 8
y = 8 / x
Expression for the other number is,
y = 8 / x
2 )
JoJo = x years old
Fiifi = ( 3 + x ) years old
Expression for the sum of their ages
= 3 + x + x
= 3 + 2x
how many line segments are needed to connect 20 points in a plane so that each pair of points are the endpoints of a line segment
A store owner wants to know how many of her 600 regular customers prefer canned vegetables. Each of her three cashiers randomly surveys 20 regular customers. The table shows the results.
Answer:
Sample A Estimate: 330
Sample B Estimate: 420
Sample C Estimate: 360
Median: 360
Range: 90
Step-by-step explanation:
For the sample estimate, multiply 600 by 11/20, 7/10, and 3/5 in order.
600 * 11/20
6600/20
330 people for Estimate A.
600 * 7/10
420/10
420 people for Estimate B.
600 * 3/5
1800/5
360 people for Estimate C.
330, 360, 420
360 is the median of these estimates.
420 - 330 = 90
90 is the range of these estimates.
URGENT 100 POINTS (all fake answers will be removed and i will take the points back)
Quadrilateral ABCD is inscribed in circle O.
What is m∠A ?
Answer:
42 degrees (check attachements) hope it helps!
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. We use that information and angles B and D to find the value of x. Then we use the value of x to find the measure of angle A.
m<B + m<D = 180
2x + 3x - 5 = 180
5x = 185
x = 37
m<A = x + 5
m<A = 37 + 5
m<A = 42
How does an online school student go to traditional charter school during c0vid?
Answer:
mask
Step-by-step explanation:
Triangle ABC is similar to triangle DEF.
Answer:
C) 4/3 = DE/9
Step-by-step explanation:
I don't have much time to explain, so just trust me on this. :)
got ukmt jmc tommorrow? Any tips/help
Answer:
be brave and stay wild
Step-by-step explanation:
tips
[tex]cos x -1=0[/tex]
Answer:
x=2[tex]\pi[/tex]n,for any integer n
Step-by-step explanation:
At Cassville Middle School, students can choose to study either French or Spanish. The
principal tracked the number of students learning each language for the past several years.
These box plots show the results.
Which languag had a higher median number of learners?
French
Spanish
Answer:
is french which is higher median number of learners
Explanation:
The vertical bar on the inside of the box visually represents the median. For the French learners, the median is at 200. For the Spanish learners, the median is at 190.
Jimmy is comparing prices of bottled drinks. He finds one bottle of water that costs $1.65 and contains 11 ounces. He then finds one bottle of soda that costs $2.52 and contains 14 ounces. Which bottle costs less per ounce?
Answer:
The bottle that costs less per ounce is the 11 ounce
Step-by-step explanation:
First you have to divide each ounce by the cost to find out how much each ounce costs.
1.65 divided by 11 is 0.15 and 2.52 divided by 14 is 0.18.
Hope this helps!
If 1 serving of stir fry use 3/5 cup of rice how many cups are in 11 servings?
Answer:
11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.
Step-by-step explanation:
If 1 serving includes 3/5 cup of rice, then multiplying both numerals here by 11 produces a similar statement for 11 servings:
11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.
If the average tween complains about 13 things every two hours, how many hours will it take to reach 195 complaints?
Answer:
30hours
Step-by-step explanation:
complaints/ hours
13/2=195/h
h=30
Two six-sided number cubes are rolled at the same time. What is the probability that the result will have at least one two in it?
(A)7/36
(B)1/5
(C)11/36
(D)1/6
Answer:
1/6
Step-by-step explanation:
There are 12 numbers in total. There is a 2 on each cube so there are two possible chance. 2/12=1/6 2/2=1 and 12/2=6 therefore 2/12=1/6
The solution is, the probability that the result will have at least one two in it is, 1/6.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
Two six-sided number cubes are rolled at the same time.
so, we get,
There are 12 numbers in total.
There is a 2 on each cube so there are two possible chance.
2/12=1/6
2/2=1
and 12/2=6
now, we have,
therefore 2/12=1/6.
Hence, The solution is, the probability that the result will have at least one two in it is, 1/6.
To learn more on probability click:
brainly.com/question/11234923
#SPJ3
Find cos theta if tan theta=9/2
Answer:
square root of 654
Step-by-step explanation:
Multiply the 2nd equation by -4. What value belongs in the green box?
Please show how you got the answer.
Answer:
cosA = 8/17
Step-by-step explanation:
cos = adjacent/hypotenuse
The number that is adjacent to angle A is 24 and the hypotenuse is 51
Plug the numbers into the cosine equation, which would look like:
Cos A = 24/51
You can simplify the fraction by dividing it by 3
So Cos A = 8/17 or 0.89130173...
PLEASE HELP....
DONT USE BITLY LINK
This is a blueprint drawing of the stage area at Millennium Park. The length of one square on the grid is equal to 5 feet. According to the blueprint, the length of the diagonal of square C is 60 feet. Is that correct? Explain.
Answer:
No
Step-by-step explanation:
Square contains 10 squares on each side resulting to a length of (10×5) i.e 50 feet.
Using pythogoras theorem
50^2+50^ is not equal to 60^2
If who answers the question fast, correct and first, I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!
If the product of a chemical reaction massess 8g, how much did the reactants mass?
Answer:
8 gram
Step-by-step explanation:
It honestly depends on the yield, purity and other factors but I'm assuming the mass is conserved since no other variables were given
Hosting a breakfast brunch for 25 people, you plan to serve scrambled eggs. The grocery sells eggs in cartons, and each carton can feed four people. How many cartons of eggs must you buy to ensure each guest a serving? A. 4c = 25 B. 25c > 4 C. 4c < 25 D. 25 _> 4c E. 4c _> 25
Answer:
75
Step-by-step explanation:
First, a cartoon of eggs has 12 eggs so if a carton feeds 4 people each person gets 3. Multiply 3x25 to see how many cartons you will need.