Answers
Answer:
See below.
Step-by-step explanation:
30.
E(1, 2), F(5, 6), G(3, -2)
a)
H, midpoint of segment EG
H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)
J, midpoint of segment FG
J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)
b)
Show that segment HJ is parallel to segment EF.
Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.
slope of segment HJ:
slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1
slope of segment EF:
slope EF = (6 - 2)/(5 - 1) = 4/4 = 1
slope HJ = slope EF = 1
Segments HJ and EF are parallel since their slopes are equal.
c)
Show HJ = (1/2)EF
We use the distance formula to find the lengths of segments HJ and EF.
length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)
length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)
HJ = (1/2)EF
Substitute the lengths we found just above for HJ and EF:
2sqrt(2) = (1/2)[4sqrt(2)]
2sqrt(2) = 2sqrt(2)
The two sides are equal, so we have proved that HJ = (1/2)EF.
Related Questions
Although you can draw an infinite number of lines through the midpoint of a
segment, you can draw only one line that is to the line segment.
Answers
Answer: Perpendicular
Step-by-step explanation: Took the quiz :)
Guys plz help Answer this QUESTION!!!
Answers
Answer:
I beliEve it is D
Step-by-step explanation:
Unit 2 lesson 5 practice problem 3 in math workbook
You get 15 points if you answer this.
Answers
Answer:
what do you need help with???
The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.
Answers
9514 1404 393
Answer:
39 cm
Step-by-step explanation:
1521 = 3·3·13·13 = (3·13)² = 39²
The length of the side of the square is 39 cm.
Under the following translation, (x,y) becomes (x-2, y+2) the point (1,1) will become _____.
Answers
Answer:
( - 1, 3 )
Step-by-step explanation:
( 1 - 2 , 1 + 2 ) = ( - 1, 3)
(1, 1) -----> ( - 1, 3 )
help no good at maths
Answers
***3/2x + 1/2x + x = 180 degrees***
For the other way you can switch around the positions of the angles in the equation as long as the = stays 180 so like
X + 3/2x + 1/2x = 180
180 + x + 1/2x + 3/2x
Or maybe change the 3/2x to 1 1/2x
-12.48-(-2.99)-5.62
-353.92-(-283.56)-131.29
831 106 (92)
(70 points.)
Answers
Answer:
-12164.91462:)
Step-by-step explanation:
Solution of the three expressions;
1). -12.48-(-2.99)-5.62 = -15.11
2). -353.92-(-283.56)-131.29 = -201.65
3). 831 / 106 (92) = 0.0852 (rounded to four decimal places)
What is PEMDAS?When resolving expressions containing several operations, the procedure to follow is denoted by the acronym PEMDAS. "Parenthesis," "exponents," "multiplication," "division," "addition," and "subtraction" are all represented by the letters P through E.
1). -12.48-(-2.99)-5.62
= -12.48 + 2.99 - 5.62 (double negative becomes positive)
= -15.11
Therefore, -12.48-(-2.99)-5.62 equals -15.11.
2). -353.92-(-283.56)-131.29
= -353.92 + 283.56 - 131.29 (double negative becomes positive)
= -70.36 - 131.29
= -201.65
Therefore, -353.92-(-283.56)-131.29 equals -201.65.
3). 831 / 106 (92)
This expression involves multiplication and division, and the order of operations (PEMDAS) tells us to perform the multiplication before the division. So we have:
= 831 / (106 x 92)
= 831 / 9736
= 0.0852 (rounded to four decimal places)
Therefore, 831 / 106 (92) equals 0.0852.
To learn more about the PEMDAS;
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The complete question:
Find the solution to the expressions given below;
1). -12.48-(-2.99)-5.62
2). -353.92-(-283.56)-131.29
3). 831 / 106 (92)
bund to the nearest tenth
2. 84 is 60% of what number?
What is that answer
Answers
Answer:
140
Step-by-step explanation:
84/140 = 60/100
5-3(2x-7)=2(7-3x)
What is true for the equation x=0, x=28, the equation has no solution or the equation has infinitely many solutions
Answers
Step-by-step explanation:
Part 1: 4x + 7 = 3(2x - 5)4x+7=3(2x−5)
4x+7=6x-154x+7=6x−15
7=6x-15-4x7=6x−15−4x
7=2x-157=2x−15
7+15=2x7+15=2x
22=2x22=2x
22=2x / 222=2x/2
x=11x=11
Part 2: Sam is not correct because he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted.
simplify the expression -9x-8+4x+7
Answers
Answer: 5x - (-1)
Step-by-step explanation:
Answer:
-5x-1
Step-by-step explanation:
First combine like terms
-9x-8+4x+7 combine -9 and 4
-5x-8+7 then combine -8 and 7
-5x-1
Natalie wants to start a business, she is going to make bracelets. She spends $40 for a braiding device and materials to start her business. Each times she makes a bracelet it costs her $8 in materials and packaging. Natalie sells her bracelets for $8 each.
Answers
y=9+9 because when you take that factor off you add 8 + 1
I got bullied guys *drop mic 100000000000x times till faints*
Answers
Step-by-step explanation:
1-800-273-8255 my dude
Answer:
I think you should tell someone you trust that you got bullied. I'm so sorry, I know people that got bullied. We'll fight this together.
A certain cookie recipe calls for 2 cups of flour to make one batch of cookies. Which graph best
represents the relationship between the amount of flour and the number of batches of cookies that
can be made using this recipe?
Answers
Answer:
1 cup of flower makes 1/2 a batch of cookies
Step-by-step explanation:
2 divided by 2 is 1
1 divided by 2 is 1/2
what are the solutions of the following system?
[tex]\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.[/tex]
Answers
Step-by-step explanation:
x-2y=-6 ...(1)
-2x+4y=-3 ...(2)
Multiply equation (1) by 2
So,
2x-4y=-12 ...(3)
Now add equation (2) and (3).
-2x+4y + 2x-4y = -3+(-12)
0=-15
It means that there is no solution of the given equations.
Kyle deposited $1200 in a savings account that earns 4.25% simple annual interest. If kyle keep the money in the account for 4 years what is the new balance?
Answers
Answer:
If kyle keeps the money in the account for 4 years, the new balance is $1,417.37.
Step-by-step explanation:
You can use the formula to calculate the future value to find the money in the account after 4 years:
FV=PV*(1+i)^n
FV= future value
PV= present value=$1,200
i= interest rate=4.25%=0.0425
n=number of periods of time=4
FV=1,200*(1+0.0425)^4
FV=1,200*(1.0425)^4
FV=1,417.37
According to this, the answer is that if kyle keeps the money in the account for 4 years, the new balance is $1,417.37.
Josh and Corey met up for lunch. When they were done, Josh traveled 8 blocks east and Corey traveled 4 blocks west. How many blocks away from Josh was Corey?
Answers
Answer:
12
Step-by-step explanation:
Since they traveled in opposite directions, we would add the 2 numbers!
8+4=12.
Solve please
18 + 8x<34
Answers
Answer:
x=2
Step-by-step explanation:
Please help I need help fast
Answers
Answer:This problem asks how many groups of 1/3 are in 4.
Quotient :12
Step-by-step explanation:
Please help !!
What is the general equation to the √x?
Answers
Which of the following best describes the function graphed below? (1 point) A graph shows a straight slanting line that starts at a point on the y-axis and goes down to touch the x-axis. Question 14 options: 1) Nonlinear increasing 2) Nonlinear decreasing 3) Linear increasing 4) Linear decreasing
Answers
Answer:
linear decreasing
Step-by-step explanation:
cause it is a straight line and it's going down so it's decreasing.
Answer:
linear decreasing
Step-by-step explanation:
the answer that will appear before mine is right
True or False: A check is a document that directs the bank to deduct money from your account and make a payment
Answers
Answer:true
Step-by-step explanation: An order to a bank to pay a stated sum from the drawer's account, written on a specially printed form.
What is the sum of 6 and y
Answers
Answer:
6+y
Step-by-step explanation:
6+y is the ans as the question has asked to sum of them but it has not given any other clues
Answer:
i got 6y
Step-by-step explanation:
If 20 apples cost $7, what is the unit cost?
Answers
Answer:
35 cents per apple
Step-by-step explanation:
its 7 / 20 and you get 0.35
PLEASE HELP ME LIKE IM GOING TO CRY ILL give you brainliest if the answer is correct and 20/40 points..............Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answers
Answer:
Answer are at the bottom!
Step-by-step explanation:
First equation: y=5x
Second equation: y=5.5x
Unit rate:
x/5.5
5.5/5.5
x/1
Hope this helps!
Can you help with this problem
Answers
Answer:
The value of w is 3.
Step-by-step explanation:
Parallelograms have equal opposite side measures.
so,
6w = w +15
6w - w = 15
5w = 15
w = 3
Answer:
w=3
Step-by-step explanation:
The opposite arms of parallelogram are equal
So the equation is
6w=w+15
=>6w-w=15
=>5w=15
=>w=15/5
Therefore
w=3
If you find my answer helpful.then please mark me as brainliest
The height reached by a model rocket can be calculated using the equation h= -16t2 + vt +
where t is the time the rocket is in flight, vis the rocket's velocity, and n is the rocket's beginning
height.
Calculate the height, h at 3 seconds given that the rocket travels 85 feet per second and starts on a
launch pad 15 feet off the ground.
Knowns:
t = 3 seconds
v = 85 feet per second
n = 15 feet
If we plug all those values in, our Formula becomes h= (–16.32) + (85.3) + (15).
Solve for h
Answers
Answer:
Step-by-step explanation:
9.0
The height (h) reached by model rocket will be equal to 126 ft.
It is given that the height reached by a model rocket can be calculated using the equation h = - 16 [tex]t^{2}[/tex] + ( v × t ) + n
We have to calculate the height (h) at 3 seconds.
What is algebra ?
Algebra is the branch of mathematics that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
h = - 16 [tex]t^{2}[/tex] + ( v × t ) + n ---------- Equation 1
∵ t = time rocket is in flight = 3 seconds
v = velocity at which rocket travels = 85 ft. per second
n = height of rocket at beginning = 15 ft
Putting these values in equation 1 , we get.
h = - 16 × ( 3² ) + (85) × (3) + 15
h = - 16 × 9 + 255 + 15
h = -144 + 270
h = 126 ft.
Thus , the height (h) reached by model rocket will be equal to 126 ft.
To learn more about algebra click here ;
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Can someone please answer letter F ? It applies to the question 4 and the graph on the right , it’s not long .
Answers
I would write that since x represents the weeks and we know that she watches two movies a week
please help me please please nice brainly people pls
Answers
Answer:
I think your answer is B= 12.
Step-by-step explanation:
Its x times 1 .33333 = y
brainliest?
I will mark you brainiest and I will gave you 100 points to answer the question correctly A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
I try C,D,E but I got wrong.
Answers
Answer:
It is unlikely the point is in region A.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
Step-by-step explanation:
Hope it helps!
Justin and his children went into a grocery store and he bought $18 worth of bananas and mangos. Each banana costs $0.60 and each mango costs $1.50. He bought 2 more bananas than mangos. Graphically solve a system of equations to determine the number of bananas, x, and the number of mangos, y, that Justin bought.
Write an answer in y=mx+b form, please.
Two equations.
Answers
Answer:
x=10 and y= 8.
Step-by-step explanation:
Given that the cost of 1 banana = $0.60
Cost of 1 mango = $1.50.
Total cost= $ 18
Here, x be the number of bananas and y be the numbers of mangos,
As the number of bananas is 2 more than the number of mangos,
So, x=y+2
[tex]\Rightarrow y=x-2 \cdots(i)[/tex]
Cost of x bananas [tex]=\$ 0.60 \times x[/tex]
Cost of y mangos [tex]=\$ 1.50 \times y[/tex]
Total cost = 0.6x+1.5y
[tex]\Rightarrow 18 = 0.6x+1.5y\\\\\Rightarrow 1.5y=18-0.6x\\\\\Rightarrow y= 12 - 0.4 x \cdots(ii).[/tex]
Solving both the equations (i) as well as (ii), graphically as shown in the figure by plotting both the graphs.
Both the graphs intersect at the point (10,8) as shown in the graph.
So, the solution of both the equations is, (x,y)=(10,8). i.e
The number of bananas = x= 10 and
the number of mangos = y = 8.