Based only on the information given in the diagram, it is guaranteed that
AEFG AHJK
K
F
16
E
3
G
00
H
A. True
B. False
Answers
The statement that the two triangles are similar based on the given figure is false.
What are Similar Triangles?Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.
So, we know that two similar triangles will have all the corresponding angles equal to each other.
Given two triangles EFG and HJK.
Also, given that,
EG = 8 and HK = 16
EG/ HK = 8/16 = 1/2
∠E = ∠H = 90°
There are no other information given.
If one more corresponding angles are equal, we can use ASA, AAS or AA property, and if one more corresponding side are proportional, we can use SAS postulate.
In this case, we cannot say two triangles are similar.
Hence the statement is false.
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Related Questions
please helppp .......Convert 3/7 into a decimal. Round to the nearest hundredth.
Answers
0.4286 is not rounded to hundredth rounded is 0.44
I think the answer is 0.43
HELP IM IN CLASS DOING IT RIGHT NOW The absolute value of any number is always positive. True False
Answers
Answer:
True
Step-by-step explanation:
Answer:
[tex] \huge\purple{TRUE}[/tex]
Step-by-step explanation:
The absolute value of any number is always positive.
describe the relationship between the similarity ratio of two triangles and the ratio of their areas. help plz
Answers
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
Which statement is true?
Select each correct answer.
The maximum height of the water balloon occurs at x = 0.
The water balloon is in the air for 2 s.
The water balloon hits the ground in 64 s.
The water balloon rises above 64 ft before falling toward the ground.
The maximum height of the water balloon is 64 ft.
Answers
Answer:
O The maximum height of the water balloon occurs at x = 0.
O The water balloon is in the air for 2 s.
O The maximum height of the water balloon is 64 ft.
Step-by-step explanation:
Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.
The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.
Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.
The correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
The water balloon follows a path such that it makes half parabola.
From the graph:
At x = 0
Height(h) = 64 feet
Which is the maximum height of the water balloon.
After t = 2 seconds
The water balloon hits the ground
The correct options are:
The maximum height of the water balloon occurs at x = 0. The water balloon is in the air for 2 s. The maximum height of the water balloon is 64 ft.Thus, the correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.
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pls help i need help :D
Answers
Answer:
[tex]\frac{2808}{3125}[/tex]
Step-by-step explanation:
What is an equation in point-slope form the line that passes through the point (-3,5) and (2,-3)?
Answer
Y-5=-8/5 (x+3)
Answers
Answer:
Y-5=-8/5 (x+3)
Step-by-step explanation:
Answer:
Y-5=-8/5 (x+3) good luck
What is the solution to the following system of equations?
3x - 6y = -12
x - 2y = -8
(1) Use the substitution method to justify that the given system of equations has no solution.
(2) What do you know about the two lines in this system of equations?
Answers
Answer:
1.) x=2y-4
2.) x=2y-4 :)
Answer:
[tex]3x - 6y = - 12 ..........i)\\ x - 2y = - 8............ii) \\ x = 2y - 8 \\ Substituting \: the \: value \: of \: x \:in \: equation \: i) \: we \: get \\ 3(2y - 8) - 6y = - 12 \\ 6y - 24 - 6y = - 12 \\ Here \: we \: can \: see \:that\: the \: value \: of \: y \: cannot \: be \: found \\ Equation \: is \: in \: form \: a \frac{}{1} x + b \frac{}{1} y + c \frac{}{1}= 0\:and \\ a \frac{}{2} x + b \frac{}{2} y + c \frac{}{2} = 0 \\ where, \: \: \frac{a \frac{}{1} }{a \frac{}{2} } = \frac{b \frac{}{1} }{b \frac{}{2} } \\ Therefore \: lines \: are \: parallel \: to \: each \: other \\ Lines \: have \: no \: solution.[/tex]
What is the partial fraction decomposition of 7x^2-6x+9/3x(4x^2+9)
Answers
Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)
The form of the partial fraction decomposition is
x+7(x+1)(x+2)=Ax+1+Bx+2
Write the right-hand side as a single fraction:
x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)
The denominators are equal, so we require the equality of the numerators:
x+7=(x+1)B+(x+2)A
Expand the right-hand side:
x+7=xA+xB+2A+B
Collect up the like terms:
x+7=x(A+B)+2A+B
The coefficients near the like terms should be equal, so the following system is obtained:
{A+B=12A+B=7
Solving it (for steps, see system of equations calculator), we get that A=6, B=−5
Therefore,
x+7(x+1)(x+2)=6x+1+−5x+2
Answer: x + 7x\textasciicircum{2} + 3 x + 2=6x+1+−5x+2
Seven friends went out to lunch. The meal subtotal was $91.22, including tax. The restaurant has a policy that for parties of six or more, 18% tip is automatically added in. What is the total cost of the meal, including tip?
Answers
Answer:
$ 74.80
Step-by-step explanation:
The subtotal cost of the meal was $91.22 including tax.
The 18% tip is added for six or more.
The tip added should reduce the meal subtotal by 18 %
Reduce $91.22 by 18% to get ;
82/100 * 91.22 = $ 74.80
Write this number in expanded form 36.91
Answers
Answer:
30+6+0.9+0.01 =36.91
Step-by-step explanation: Here ya go ;>
is the anwers to 4,690 × 141 going to be even or odd
Answers
Answer:
661290
Step-by-step explanation:
even number ........
if m=3 and n=-4 calculate the value of mn +n²
Answers
Answer:
28
Step-by-step explanation:
-4×-4=16
3×4=12
12+16=28
cark earned grades of 62, 78, 59, and 89 on four tests.
what is the mean of his grades
Answers
Answer:
72
Step-by-step explanation:
mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.
i think the answer is 579
mean median mode range
Answers
Answer:
I think your question is the differences between these terms in mathematical explanation? Well, the median is the middle. You add and divide for the mean. The mode is the one that appears the most. And the range is the difference in between.
Other:
Brainliest? Thanks!
[tex]mean = \frac{sum \: \: of \: \:all \: \: obsevations}{no. \: \: of \: \: observations} [/tex]
[tex]median = middle \: \: most \: \: value[/tex]
[tex]mode = most \: \: occuring \: term[/tex]
[tex]range = highest \: \: observation \: - lowest \: \: observation[/tex]
What is 2 1/2 written as an improper fraction?
Answers
2 1/2 as an improper fraction is 5/2
First, split the mixed fraction into the sum of a whole number and a fraction:
2 1/2 =>2+ 1/2
Then, rewrite the whole number as an equivalent fraction: 2 => 4/2
Lastly, add together the two fractions to get the answer:
4/2 + 1/2 = 5/2
i need help dont just answer if you dont know the question only answer if you know the question
Answers
Answer:
164 cookies each
Step-by-step explanation:
divide 492 by 3. 3 Because it says Diana and her friends, and 492 because that is the total cookie count.
The answer to this problem is 246
Explanation:
You have to divide 492 by 2, you have to divide 4 twice, then divide 9 four times, then divide 2 by one, then the answer becomes clear.
Dan was at the beach for five days and found 28 seashells. He plans to give all of his seashells equally to his four friends. How many seashells will each friend get?
Answers
hii pls answer as quickly as possible i will give you the brainliest :))
Answers
Answer:
sorry
Step-by-step explanation:
I really don't know answer
Thank you! WIll mark brainliest.
Answers
Answer:
B.) David should pull his goalie
Step-by-step explanation:
PLS HELP Which number has a product of -6/5 when multiplied by -12/5
A. -18/5
B -1/2
C 1/2
D 2/1
Answers
1/2 x -12/5 = -6/5
You multiple across the top and bottom so you would do 1 x -12, which equals -12 (the numerator) and then 2 x 5 = 10 (the denominator) so the answer is -12/10, this can be simplified to -6/5.
Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second order?
A. 10x + 18
B. 4x + 8
C. 21x + 65
D. 10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars?
Answers
Answer:
B
11 dollars
Step-by-step explanation:
7x+13 is the sum of the two order
you know that one order is 3x+5, so if you subtract it from the total you get the other order
7x+13-(3x+5) =7x+13-3x-5 = 4x+8
if he spent 90 dollars in total then we can say that
7x+13 = 90
7x=77
x=11
11 dollars per box
Step-by-step explanation:
The data set shows the numbers of flowers that students on a field trip correctly identified. What is the mode of the data set? 0 7 3 9 5 0 10 5 8 6
Answers
Answer:
The mode is the value that appears most frequently in a data set
Step-by-step explanation:
so it will be 0 and 5
Answer:
0 and 5
explanation:
HELP ASAP PLS I DONT UNDERSTAND IM GIVING 15 POINTS AND ILL GIVE BRAINLIEST TO WHOS RIGHT
Answers
Answer:
(1.5, -2.5)
Step-by-step explanation:
Mate, I think you best get to studying, plotting coordinates are the fundamentals of algebra and euclidean geometry.
Anyways, (x, y). When you replace the variables, you determine the coordinates are (1.5, -2.5).
Answer:
C, 1.5, -2.5
Step-by-step explanation:
Count the lines between each axis to figure out the coordinates. If the point is in between a line, it is a half.
Write an equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9.
Answers
Answer:
y = - [tex]\frac{1}{12}[/tex] x + [tex]\frac{127}{12}[/tex]
Step-by-step explanation:
y = 12x - 9
Slope of line perpendicular to given is m = - [tex]\frac{1}{12}[/tex]
P(7, 10)
y - 10 = - [tex]\frac{1}{12}[/tex] (x - 7)
y = - [tex]\frac{1}{12}[/tex] x + [tex]\frac{127}{12}[/tex]
An equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9 is y - 10 = -1/12(x-7)
The equation of a line in point-slope form is expressed as;
y - y0 = m(x-x0)
m is the slope of the line(x0, y0) is any point on the lineGiven the equation of a line y = 12x - 9
Slope = 12Slope of the line perpendicular is -1/12Substitute m = -1/12 and ()7, 10) into the equation above to have;
y - 10 = -1/12(x-7)
Hence an equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9 is y - 10 = -1/12(x-7)
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Scores on a recent ACT test yielded mean 20.9 and standard deviation 4.7. find the probability that a random sample of 32 test scores had a mean below 20.
a) .1914
b) .5753
c) .8599
d) .4247
e) .1401
Answers
Answer:
E. 0.1401
Step-by-step explanation:
The mean here has been given as 20.9
The standard deviation sd = 4.7
Random sample n = 32
Sd/√n
= 4.7/√32
= 0.8309
Probability of x less than 20
= 20-20.9/0.8309
= -0.9/0.8309
= -1.083
P(z<-1.083)
When we go to the z table
= 0.1401
Therefore the probability is 0.1401 and the answer to this question is E.
I need help asap ill give BRAINLIEST
Answers
Answer:
Concept: Basic Mathematics
1.3 18-14Answer:
1.3
18
-14.....................
There were 120 students at a creative writing workshop last year. This year there are 138 students. What is the percent of increase in the number of students at the workshop?
Answers
Answer:
34%
Step-by-step explanation:
The percent of increase in the number of students at the workshop is 15%.
Given that, there were 120 students at a creative writing workshop last year. This year there are 138 students.
What is percentage increase formula?The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time. Mathematically, this formula is represented as the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.
Here, initial value = 120 students and final value = 138 students.
Difference in value = Final value - Initial value
=138-120=18
Percentage of increase = [tex]\frac{18}{120}\times 100[/tex]
= 15%
Therefore, the percent of increase in the number of students at the workshop is 15%.
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Help out pleaseeeeeeeeeeeeeeeee
Answers
Which unit rate is the lowest price per ounce out of 25 ounces of potato chips fo 3.49$ or 45 ounces of potato chips for 4.79$
Answers
Answer: choice A : 3.49/25 = 0.139 rounds to 14 cents per oz
choice B ; 4.79/40 = 0.119 rounds to 12 cents per oz. lowest price is choice B
Solve the equation using the distributive property and properties of equality. 1/2x(X+6)= 18
What is the value of x?
Answers
Answer:
x equals to 4
Step-by-step explanation:
because x is a coefficient of the bracket