2. Determine if the two quadrilaterals are similar,
if they are, state the scale factor.
Answers
Answer:
Yes, they are similar. The scale factor is 5/3
Step-by-step explanation:
The longest to the shortest side of quadrilateral KLMJ are: JM, ML, KJ, LK
The longest to the shortest side of quadrilateral QPSR are: QP, PS, RQ, SR
If the two quadrilaterals are similar, the following proportion must be satisfied:
JM = k*QP
ML = k*PS
KJ = k*RQ
LK = k*SR
where k is the scale factor. Solving for k and replacing with lengths:
k = 25/15 = 24/14.4 = 20/12 = 15/9 = 5/3
From the figure, we can also see that:
∠M ≅ ∠P
∠L ≅ ∠S
∠R ≅ ∠K
∠Q ≅ ∠J
Therefore, the two quadrilaterals are similar.
Related Questions
Which set of data could have been used to create the stem-and-leaf plot shown below?
64, 79, 95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92
6.4.7.9. 9.5, 8.3, 8.1, 9.0.6.7.8.6, 9.1, 8.4, 8.1,6.9, 8.3, 9.2
63,79,95, 83, 81, 90, 67, 86, 91, 84, 81, 69, 83, 92
6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2
Answers
Human:
✧･ﾟ: *✧･ﾟ:* Answer: *:･ﾟ✧*:･ﾟ✧
✅ D.) 6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2
I WOULD APPRECIATE BRAINLIEST!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
Evaluate 6 - 2(-1) + | -5 |
Answers
Answer:
13
Step-by-step explanation:
6 - 2(-1) + | -5 |
The absolute value means take the non-negative value
6 - 2(-1) + 5
Multiply
6 +2 + 5
Add
8+5
13
297 miles in 11 gallons of gas what is the unit rate
Answers
Answer: 27 miles in 1 gallon
Step-by-step explanation:
297/11
The unit rate of 297 miles in 11 gallons will be 27 miles/gallons.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b, will be the denominator.
We will be used when division is not possible wholly
For example 4/2 is divisible so we write 2 instant of 4/2 while 1/3 is not divisible so we write 1/3 instant of 0.33.
Proportion is the relation of a variable with another. It could be direct or inverse.
The ratio is very useful to determine complex calculation where decimal number become tough to solve.
Given,
297 miles in 11 gallons
297 miles ⇔ 11 gallons
Divide by 11 on both sides
297/11 miles ⇔ 11/11 gallons
27 miles ⇔ 1 gallon
So, 27 miles in 1 gallon.
Hence unit rate is 27 miles/gallon will be correct.
For more information about ratio and proportion
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$4.25 for 64 fluid ounces .
What is the unit rate
Answers
Answer: $0.07 per unit
Step-by-step explanation:
4.25/64
Answer:
0.07
Step-by-step explanation:
divide
Consider the function f(x)= 10^x and the function g(x), which is shown below.
How will the graph of g(x) differ from the graph of f(x)?
g(x)= f(x - 6) = 10^(x-6)
A. The graph of g(x) is the graph of f(x) shifted 6 units elown.
B. The graph of g(x) is the graph of f(x) shifted to the left 6 units.
C. The graph of g(x) is the graph of f(x) shifted 6 units up.
D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.
Answers
Answer:
B. The graph of g(x) is the graph of f(x) shifted to the left '6' units
Step-by-step explanation:
Type of transformation change to co-ordinate point
Vertical translation up 'd' units (x ,y) changes to (x , y+d)
Vertical translation down 'd' units (x ,y) changes to (x , y-d)
Horizontal translation left 'c' units (x ,y) changes to (x-c , y)
Horizontal translation Right 'c' units (x ,y) changes to (x+c , y)
Given f(x) translation left 'c' units f(x) changes to f(x-c)
Given f(x) translation right 'c' units f(x) changes to f(x+c)
Given Function f(x) = 10 ˣ
The given graph f(x) translation left '6' units
g(x) = f(x -6) = [tex]10^{x-6}[/tex]
Final answer:-
The graph of g(x) is the graph of f(x) shifted to the left '6' units
g(x) = f(x -6) = [tex]10^{x-6}[/tex]
Answer:
D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.
Step-by-step explanation:
Use GeoGebra to graph those two function
f(x) = 10^x
g(x) = 10^(x-6)
11. An airline charges $20 to check a piece of luggage up to 23 kilograms. For excess weight, it charges $5 more per kilogram. The airline rounds up to the next whole kilogram (a piece of luggage weighing 24.1 kg would be charged as 25 kg). The airline doesn't accept luggage over 32 kg. Which of the graphs below represents this information as a function?
Answers
Answer:
i believe it is b
Step-by-step explanation:
please help me ! :)
Answers
Answer:
B. (6, 5)
Step-by-step explanation:
On the 4th row of the table, we see 6 in the x column and 5 in the y column. This makes the point (6, 5).
No other answer choices match up to the points in the table.
I hope this helps :))
Solve the following system of equations graphically.
x + y - 4 = 0
x - y = 0
The solution lies in quadrant _____.
I
II
III
IV
Answers
Step-by-step explanation:
work is shown and pictured
Which of the following is a characteristic of hyperbolic geometry?
A. There are an infinite number of lines parallel to a given line
through a given point.
B. There is exactly one line perpendicular to a given line through a
given point.
C. There is exactly one line parallel to a given line through a given
point.
D. There are an infinite number of lines perpendicular to a given line
through a given point.
Answers
Answer:
A
Step-by-step explanation:
Hyperbolic geometry is defined as a non-Euclidean geometry.
(invalidating the fifth postulate of Euclid's five fundamental postulates)
Choice B and D can be eliminated because this has nothing to do with perpendicular lines.
Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates
We are left with A by the process of elimination
Answer:
A. There are an infinite number of lines parallel to a given line through a given point.
Hope this Helps!
pls help i give brainliest and 5 stars
Answers
Answer:
r=12.5
Step-by-step explanation:
V=2/3πr³
V=1300π m³
r=?
r=3√(3*1300π/2)
r=12.49
i hope this is the right answer
What is f(0)?
4
5
6
7
Answers
Answer with a Step-by-step explanation: We are given the table as:
x f(x)
0 6
2 7
4 0
7 5
i.e. corresponding to different values of x we are given the values of f(x)
we have to find the value of f(0)
i.e. we have to find the value of f(x) when x=0
As we can see from the table the value of f(x) at x=0 is 6
Hence, Correct option is:
C) 6
Answer:
C.
Step-by-step explanation:
6
If f(x) and g(x) are inverse functions of each other, what is the graph of f(g(x))?
Answers
Answer:
y = x
Step-by-step explanation:
The graph of f(g(x)) is the straight line y = x.
if a book is 33 hour and 45 min long ,how many days would it take you to read it if you read 6 hours a day ?
Answers
Answer:
6 days
Step-by-step explanation:
Which expression represents the polynomial −2x3−4x2+2x4+3x+4 rewritten in standard form?
Answers
Answer:
10 x^4 - 8x^5
Explanation:
To write a polynomial in standard form, simplify and then arrange the terms in descending order. Ex. ax^2+ax+c
Then you would simplify
−2 x−5(x^2x^2)−2x4(x^2x^3)
Simplify each term
= 10 x^4 - 8x^5
ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 2:1. Which ratio is also equal to 2:1?
Answers
Answer:
4)
Step-by-step explanation:
When triangles are similar, their corresponding angles are congruent. So, it is not 1) and 2).
Areas ratio is squared to ratio of their sides, so it is not 3).
Perimeter is sum of the sides. All corresponding sides in similar triangles have the same ratio. So, answer is 4).
The ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1
What are similar triangles?"Two triangles are similar when their corresponding sides are in proportion to each other and corresponding angles are equal."
What is ratio?"It is the comparison of two quantities of the same kind."
For given question,
ΔABC is similar to ΔDEF.
⇒ [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]
And ∠A = ∠D, ∠B = ∠E, ∠C = ∠F
We know, if two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
⇒ [tex]\frac{area~of~\Delta {ABC}}{area~of~\Delta DE F} =(\frac{AB}{DE})^2 = (\frac{BC}{EF})^2 = (\frac{AC}{DF})^2[/tex]
We know, the perimeters of the similar triangles are in the same ratio as the sides.
[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]
The ratio of the length of AB to the length of DE is 2:1
[tex]\Rightarrow \frac{AB}{DE} = \frac{2}{1}[/tex]
[tex]\Rightarrow \frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F} = \frac{2}{1}[/tex]
Therefore, the ratio [tex]\frac{perimeter~of~\Delta ABC}{perimeter~of~\Delta DE F}[/tex] is also equal to 2:1
Learn more about similar triangles here:
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✐ is typing , , ,
any answer is appreciated (: ♥
And if it's correct will mark " brainliest "
keep in mind that it needs two answers for marking brainliest :)
↯
Answers
Answer:
13 ounces
Step-by-step explanation:
Since the package ended up costing $5.81, we subtract the starting cost of 6 ounces, which is $4.90.
We end up with $0.91. Since each additional ounce is $0.13, we divide 0.91 by 0.13.
This gives us seven, which is the amount of additional ounces. Since Mrs. Washington paid 4.90 for the first six ounces and then there were an additional 7 ounces, we add 6 plus 7.
The answer is 13 ounces. Hope this helps!
HELLO, I NEED HELP ASAP :(
Use the distributive property to write the sum as a product.
(-1)·2+(-1)·ₓ
Answers
Answer:
-1(2+x)
Step-by-step explanation:
in the initial equation the -1 was distributed, this answer creates a product (multiplication). -1(2+x)= -2-x
Answer:
(-1)·2+(-1)·ₓ = -1 (2+x)
Step-by-step explanation:
distributive property: ab +ac = a(b+c)
in this case a=-1, b =2, c =x so
(-1)·2+(-1)·ₓ = -1 (2+x)
Is this statement true or false? 600 meters = 6 hectometers
Answers
Answer:
true
Step-by-step explanation:
hectometer is 100 meters,
thus 6 hectometers is equal to 600 meters, and the statement is true
First person to answer gets Brainliest.
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Volume = 250 ft³
Answers
Answer: 4.97 ft
Step-by-step explanation:
h = V / pi r^2
h = 250 / 3.14 x 4^2
Rosalia went on a long bike ride. The table shows how long she biked and the distance she
traveled. Determine whether the relationship between hours biked and miles traveled is
proportional.
-91
O The relationship is not proportional.
O The relationship is proportional.
Answers
Answer:
The relationship is not proportional.
Step-by-step explanation:
To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.
y/x=c.o.p
c.o.p=constant of proportionality.
the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.
please mark me brainliest:)
Use the graph to write the factorization of x^2-x-6.
Answers
Answer:
[tex](x+2)(x-3)[/tex]
Step-by-step explanation:
[tex]x^2-x-6[/tex]
[tex]x^2-3x+2x-6[/tex]
[tex]x(x-3)+2(x-3)[/tex]
[tex](x+2)(x-3)[/tex]
Answer:
(x-3) (x+2)
Step-by-step explanation:
I just got the question right on the exam!
NEEEDDD HHEELLPP NNOOWW. URGENTT giving 100 points and brainliest The mass of an empty jar is 470 g. 6 marbles are placed in the jar. The total mass of the jar and marbles is now 1.1 kg. Two of the marbles are removed. What is the mass of the jar and marbles now?
Answers
Answer:
890
Step-by-step explanation:
Well, first we should put 1.1 kg into grams (1 kg = 1000g)
1.1kg= 1100g
[tex]1100-470= 630[/tex] this is how much was added by the marbles
630/ # of marbles gives the mass of each marble
[tex]\frac{630}{6} = 105[/tex]
each marble has a mass of 105 g
1100- 2m(marble)=
1100-2*105
1100-210=
890
Answer:
890 grams
Step-by-step explanation:
Remember that one kilogram is equal to 1000 grams. Therefore, 1.1 kilograms is equal to 1,100 grams. (remember 0.1 means one tenth, and one tenth of 1000 is 100)
1,100 grams is the total measure of the jar with the marbles. Subtract the weight of the jar, 470 grams, to find the measure of the marbles.
1100 - 470 = 630
Now, we can divide 630 grams by the total number of marbles, 6, to find the weight of each marble.
630/6 = 105.
Therefore, each marble weighs 105 grams.
Now, we know that two marbles were removed from the jar that weighs 1100 grams.
Multiply 105 by 2 to find the number of grams that were taken out of the jar:
105*2 = 210
Now, we subtract 210 from 1100
1100 - 210 = 890 grams
Hope this helps :)
In a basketball tournament, Team A scored 5 less than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Let the variable b represent Team B’s total points. The equation representing this scenario is (2b – 5) + b + (b + 80) = 983. Team B scored 227 total points.
Which statement is true based on the information?
Team A scored 307 points.
Team C scored 307 points.
Team A scored twice as many points as Team C.
The sum of the points scored by the three teams is 841.
Answers
Answer: The correct answer is B or Team C scored 307 points.
Step-by-step explanation:
Answer:
Choice B. Team C scored 307 points.
Step-by-step explanation:
Team B scored 227 points.
Choice A:
Team A: 2b - 5 = 2(227) - 5 = 454 - 5 = 449
Choice A is false.
Choice B:
Team C: b + 80 = 227 + 80 = 307
Choice B is true.
Choice C:
2 * 307 = 614
614 is not the same as 449.
Choice C is false.
Choice D:
The sum of the points is given as 983.
Choice D is false.
Answer: Choice B. Team C scored 307 points.
Solve this equation: 3x –1/5- 2/9x= 124/5
Step 1: Simplify by combining like terms. Which terms can
be combined?
Answers
Answer:
x = 9
Step-by-step explanation:
Given
3x - [tex]\frac{1}{5}[/tex] - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] ( add [tex]\frac{1}{5}[/tex] to both sides
3x - [tex]\frac{2}{9}[/tex] x = [tex]\frac{124}{5}[/tex] + [tex]\frac{1}{5}[/tex] = [tex]\frac{125}{5}[/tex] = 25 ← combine x- terms on left side
[tex]\frac{25}{9}[/tex] x = 25 ( multiply both sides by 9 )
25x = 225 ( divide both sides by 25 )
x = 9
Question 1
What is the measure of x?
Answers
Answer:
110
Step-by-step explanation:
Is there a way to find figure out a function with just the X & Y intercepts. I know there are convertors to find the X & Y intercepts using a function that you'd already have, but I need to do the opposite.
Basically I need to find a function based off Inputs & Outputs. (If that makes sense).
Answers
Answer:
Step-by-step explanation:
yes, since that are 2 points:
y-int is (0, y)
x-int is (x, 0)
since you need only two points for a function with no restrictions, we can use y and x intercepts as points
Find the area of a 1/4 circle with a diameter of 8
Answers
Answer:
[tex]12.57units^2[/tex]
Step-by-step explanation:
[tex]\\A=1/4\pi r^2\\=1/4\pi 4^2\\=4\pi \\4\pi =12.56637\\12.57units^2[/tex]
Answer:
12.57
Step-by-step explanation:
Find the slope of the line through the points (13, 14) and (0, −1)
Answers
Answer:
[tex] \frac{15}{13} [/tex]
Step-by-step explanation:
gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of line
[tex] = \frac{14 - ( - 1)}{13 - 0} \\ = \frac{14 + 1}{13} \\ = \frac{15}{13} [/tex]
WILL GIVE BRAINIEST!! In triangle PQR, PQ = 13, QR = 14, and PR = 15. Let M be the midpoint of QR. Find PM.
Answers
Answer:
6.5
Step-by-step explanation:
If M is the midpoint of PQ, PM is congruent to MQ. Midpoint means middle. So, the midpoint divides PQ in half. PQ = 13, and 13/2 = 6.5.
If In triangle PQR, PQ = 13, QR = 14, and PR = 15. M is the midpoint of QR. PM is: 12 cm.
Triangle PQRIn △PQR
M=Midpoint of side QR
PM =Median of the iangle
Using Apollonius theorem
PQ ² +PR ² =2PM ² +2QM ²
13²+14²=2PM ² +2(1/2QR) ²
169+196=2PM ²+2(6)²
169+196=2PM ²+2(36)
365=2PM ²+ 72
2PM ²=293
Divide both side by 2
PM ²=293/2
PM ²=146.5
PM=11.97 cm
PM=12 cm (Approximately)
Therefore PM is 12 cm.
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Estelle bought 7.2 pounds of oatmeal and gave 6.1 pounds of it to a neighbor. How much
oatmeal does Estelle have left?
pounds
Answers
Answer:
1.1
Step-by-step explanation:
7.2-6.1
