We want to see which statement describes the image of a triangle after a dilation of scale factor of 2/3.
We will see that the correct option is C:
"Each angle has the same measure as its corresponding angle in the pre-image."
First, if we have a given figure and we apply a dilation of scale factor K, then all the measures of the given figures are affected by that dilation.
So if the 3 sides of the original triangle measured A, B, and C.
The new measures will be:
C' = k*CB' = k*BA' = k*ANotice that because all the sides changed proportionally, then the internal angles produced did not change after the dilation.
From this, we can conclude that the only correct option is C:
"Each angle has the same measure as its corresponding angle in the pre-image."
This says that the angles of the dilated triangle are the same ones as the angles of the initial triangle, which is true.
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325.623 rounded to nearest hundredth
Answer:
325.62
Step-by-step explanation:
Find the number in the hundredth place 2 and look one place to the right for the rounding digit 3. Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
Mr.cayanan bought 4 bottles of honey each contained 1.25 liters how many liters of honey she prepared?
Answer:
the answer Is 5
Step-by-step explanation:
1.25 × 4 = 5
find the width of radius r if the width w of the shaded region is 2cm and its area is 176cm^2, use 22/7 for pi (its a full circle)
The area of a shape is the amount of space it can occupy.
The value of r is 13
From the question (see attachment), we have:
[tex]\mathbf{A =176}[/tex] --- area of the shaded region
[tex]\mathbf{w = 2}[/tex] --- the width of the shaded region
The area of the complete circle would be:
[tex]\mathbf{A_1 =\pi (r + w)^2}[/tex]
The area of the small circle is:
[tex]\mathbf{A_2 =\pi r^2}[/tex]
So, the area of the shaded region is:
[tex]\mathbf{A = A_1 - A_2}[/tex]
Substitute known values
[tex]\mathbf{176 =\pi (r + w)^2 - \pi r^2 }[/tex]
Substitute 2 for w
[tex]\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }[/tex]
Expand
[tex]\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }[/tex]
Open brackets
[tex]\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }[/tex]
Cancel out line terms
[tex]\mathbf{176 =4\pi r + 4\pi }[/tex]
Divide through by 4
[tex]\mathbf{44 =\pi r + \pi }[/tex]
Factor out pi
[tex]\mathbf{44 =\pi(r+ 1) }[/tex]
Divide through by pi
[tex]\mathbf{r + 1= \frac{44}{ \pi} }[/tex]
Substitute 22/7 for pi
[tex]\mathbf{r + 1= \frac{44}{ 22/7} }[/tex]
Using a calculator, we have
[tex]\mathbf{r + 1= 14}[/tex]
Solve for r
[tex]\mathbf{r= 14 -1}[/tex]
[tex]\mathbf{r= 13}[/tex]
Hence, the value of r is 13
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In how many ways can 5 people sit in 5 chairs if Frankie and johnny want to sit next to each other.
Answer:
24
Step-by-step explanation:
plz mark brainly
HELP!!! Complete the function for this graph.
Help me please you will get 20
Answer:
3 pounds
1p+1p+1p=3p
Step-by-step explanation: 4p +2j +2j +2j =10pounds which is more than 8p
(5x-7y)-(2x+y) expression thats equivalent plzzzzzz help fast
Answer:
(3x-8y) is equivalent
Step-by-step explanation:
Answer:
[tex](5x - 7y) - (2x + y) \\ 5x - 7y - 2x - y \\ collecting \: like \: terms \: \\ 5x - 2x - 7y - y \\ 3x - 8y[/tex]
of johnny have 5 apples and gave 3 to sally how many would she have?
Again I need help thank you :)
help me with this:(((
Answer:
3
Step-by-step explanation:
Describe and correct the error in evaluating the expression. -10^2 = 100
Answer:
-10² = -100
Step-by-step explanation:
The error in the evaluation occurred when the negative base (which is -10) was squared altogether outside of the parenthesis. (-10²) still results in -100.
The only time that the result will produce a positive 100 is when you square -10 this way: (-10)² = 100 because the negative sign is included with the squaring of base through the parenthesis.
Hope this helps.
A power in mathematics is defined as the exponent to which a whole number is raised.
There is no error in evaluating the expression because [tex]-10^{2} = 100[/tex]
When multiplying two negative numbers, their negative signs tend to cancel out
-a x - a = [tex]a^{2}[/tex]
The power for a is given as 2
To solve the above question:
[tex]-10^{2}[/tex]
This can be written as:
-10 x -10
= 100
Therefore, there was no error in the evaluation of the expression.
because [tex]-10^{2} = 100[/tex]
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Convert the following.
15, 000 m² =________hectare
2.5 hectares =_______m²
Answer:
15,000 m²= 1.5 hectares
2.5 hectares= 25, 000 m²
Step-by-step explanation:
Sana makatulong
Write x > 6 in interval notation.
Answer:
x > 6 in interval notation is: (6, ∞)
NOTE:
Interval notation is a way to represent an interval as a set of numbers. The numbers are the endpoints of the interval.
-----
Build the interval notation for x:
Since you did not enter an equal sign, this translates to ( since we will not be including the number 6
Based on the > you entered, the right side of the interval notation will extend to positive infinity, which is denoted as +∞
(6,+∞)----- (answer)
Set Builder Notation for x:
{ x | x>6 } where | denotes such that
Display the literal representation for x
7,8,9,10,11,12,13,14,15,16,...,∞
Help me solve this please
Answer:
translation
Step-by-step explanation:
translation move with same shape and size
Answer:
translation
Step-by-step explanation:
move the same ship and size
Pls help me with this question!!!!
Answer:
The answer is A
Step-by-step explanation:
What can divided 36 and 99
Step-by-step explanation:
GCF of 36 and 99 is the largest possible number that divides 36 and 99 exactly without any remainder. The factors of 36 and 99 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and 1, 3, 9, 11, 33, 99 respectively.
I was going to just say the answer was 3 but the other person put multiple answers.So they have the correct answer.Good job!
What is the answer, I need help.
Answer: i think is D
Step-by-step explanation:
Вычислите значение выражения наиболее удобным способом:
-3,2*2 11/18+ 3,2*3 13/18- 3,2*7/18=
Answer:
Idiosyncratic apricot
Richard tosses a ball into the altThe function b(t) = - 5t ^ 2 + 10t + 6 the the ball itDoes the a height of 12 m?
Answer:Nope
Step-by-step explanation:
The equation, b(t) = - 5t ^ 2 + 10t + 6, is a parabola with a vertex. We must find whether that vertex is equal to or exceeds 12m. One can graph the equation and find that the vertex is at (1,11), below the 12. It cannot reach 12 meters.
[One may also differentiate the equation and set it equal to zero (the point at which the slope of the parabola is zero, which will be at the vertex as it begins downward)].
The Peyton family stayed in a hotel room for 5 nights while on vacation. The total cost before tax was $1,075. If the hotel room tax rate in the city is 14%, what was the total cost for the hotel room?
Answer:
1225.50
Step-by-step explanation:
14% of 1075 =0.14 x 1075=150.5
1075 +150.5 = 1225.5
The 14% of $1075 is $150.5 thus the total cost for the hotel room overall 5 nights including tax will be $1225.50.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
The total cost before tax was $1,075.
The tax rate is 14%
14% of $1075 will be,
(14/100)1075 = $150.5
Total cost includes tax = $1075 + $150.5 = $1225.50
Hence "The 14% of $1075 is $150.5 thus the total cost for the hotel room overall 5 nights including tax will be $1225.50".
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ASAP!!!!Batman's age is 4 more than twice Robin's age when you add batman's age to Robin's age you get 58 how old is Batman and robin a.use x represent Robin's age write an equation that represents the situation b.solve the equation from part (a).show your work state your solution as a complete sentence.
Answer:
56is shjdns djdndjsndnskdvdjdnshdkd
What is the midpoint of a line with endpoints (6,5) and (14,7), (Your answer
should be an ordered pair)
Answer:
Midpoint = (10,6)
Step-by-step explanation:
Using Coordinates: X(6,5) and Y(14,7)
Using the midpoint formula: M = (X1 +Y1)/2, (X2 + Y2)/2
Midpoint of XY = (6 + 14) / 2, (5 + 7) / 2
Midpoint of XY = (20) / 2, (12) / 2
Therefore the midpoint of XY is (10,6)
Find the equation in slope-intercept form of the line parallel to y = 4x + 23 and passes through the point (2,3).
Answer: y=4x-5
Step-by-step explanation:
The slope of y=4x+23 is:4 m=4
The parallel line needs to have the same slope of 4
Solve it using the "point-slope" equation of a line: y− y1 = 2(x − x1)
substitute or put in the point (2,3):
y − (3) = 4(x − 2)
y - 3 = 4x - 8
put it in slope intercept form y = mx + b
y = 4x − 5
Help! How to factorise= x²-5x+6?!!!!!!
Answer:
(x − 2)(x − 3)
Step-by-step explanation:
x² - 5x + 6
(x − 2)(x − 3)
Twenty-eight slices of pizza cost $12. Approximately how much would 70 slices cost?
Answer:
$30.
Step-by-step explanation:
70/28 = 2.5
12 x 2.5 = 30
A tree is currently
2
feet tall and grows
1.3
feet per year. Which inequality represents the time, in
x
years, when the tree will have a height of at least
20
feet?
The inequality expression for the number of years when tree will be atleast 20 feets tall is x ≥14
Current height = 2 Growth rate = 1.3 feets per yearThe height of the tree after x years can be represented as a linear equation thus :
Height = 2 + 1.3xNumber of years when the tree will be 20 feets tall :
20 = 2 + 1.3x 20 - 2 = 1.3x 1.3x = 18x = 13.84The tree would be atleast 20 feets tall in 14 years x this can be expressed thus
x ≥14Learn more : https://brainly.com/question/18109354
Which number is larger, 2x10^-3 or 3x10^-2? Explain.
Answer:
3×10'-2 is larger
Step-by-step explanation:
2×10'-3=0.002
3×10'-2=0.03
Answer:
3x10^-2 is larger
Step-by-step explanation:
2x10^-3 = 0.002
beause 10^-3 = decimal place three place to the left
3x10^-2 = 0.03
beause 10^-2 = decimal place two place to the left
what is (x-3)(3x-5) can you help
Hello!
Answer:
3x^2-14x+15
Step-by-step explanation:
Hope this helps!
Find the L.C.M and H.C.F of: a. 432 and 486
Answer:
L.C.M of 432 and 486: 3888
H.C.F of 432 and 486: 54
Step-by-step explanation:
Skylar is going to drive from her house to City A without stopping. An equation that determines Skylar's distance from City A tt hours after leaving her house is D=120-30t. What is the x-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
The x-intercept of the function is 4 which represents the total time of the trip, in hours.
Step-by-step explanation:
Since Skylar was a distance of 0 miles from City A after 4 hours, the x-intercept of 4 represents how many hours it took Skylar to drive from her house to City A.
Have a good day :)
The x- intercept is 4 hours.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δxwhere,m is the slope
Given:
D=120-30t.
According to slope - intercept form
y= mx+ b
where m is the slope and b is the y intercept.
So, the x-intercept
0= 120- 30t
t= -120/ (-30)
t= 4
Hence, the x- intercept is 4 hours.
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