What are the coordinates of the endpoints of the midsegment for △RST that is parallel TS¯¯¯¯¯ ?
Answers
Answer:
The end points of midsegement for triangle RST are (1,3) and(4,3) which is parallel to TS.
Step-by-step explanation:
We are given that a figure of triangle RTS in which the coordinates of R(0,6) , T(2,0) and S(8,0).
We have to find the end points of midsegment for triangle RST that is parallel TS
Let AB is midsegment where A is the mid point of segment RT and B is the midpoint of segment RS of triangle RST which is parallel to the segment TS.
To find the coordinates of end point of midsegment AB using midpoint formula
Midpoint formula :[tex]x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}[/tex]
The coordinate of A
[tex]x=\frac{0+2}{2}[/tex], [tex]y=\frac{0+6}{2}[/tex]
[tex]x_1=0,x_2=2,y_1=6,y_2=0[/tex]
[tex]x=1,y=3[/tex]
The coordinates of A is (1,3).
The coordinates of mid point B
[tex]x=\frac{0+8}{2},y=\frac{0+6}{2}[/tex]
[tex]x_1=0,y_1=6,x_2=8,y_2=0[/tex]
[tex]x=4,y=3[/tex]
The coordinates of midpoint B is (4,3).
Therefore, the end points of midsegement for triangle RST are (1,3) and(4,3) which is parallel.
Related Questions
need help.... what is half of 1 3/4 IN A FRACTION plzzzzz
Answers
7/4 x 2/1 is 14/4 or 3 1/2
now half of 14/8 is easy
A computer is programmed to scan the digits of the counting numbers. For example, if it scans
1 2 3 4 5 6 7 8 9 10 11 12 13
then it scanned 17 digits altogether. If the computer begins it's task and scans the first 1392 digits starting with 1, what is the last counting number scanned?
Answers
Number of 2-digits numbers scanned (i.e. 10 - 99) = 2 x 90 = 180 digits
Let the number of 3-digits numbers scanned be x (i.e. 100 - y), then 3 x (y - 99) = (1392 - 180 - 9)
3y - 297 = 1203
3y = 1203 + 297 = 1500
y = 1500 / 3 = 500
Therefore, the last counting number scanned is 500.
The difference of two numbers is 16 and the sum of their squares is 130. What are the numbers.
Answers
x^2 + x^2 = 130
----------------
x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = 13.892 (3DP)
----
x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108
Write an expression that is equivalent to 3/5 (3y+15)
3/5y +9, 3/5y+15, 9/5y+9, 9/5y + 15?
Answers
[tex] \frac{3}{5} (3y+15)[/tex]
The expression that is equivalent to the given expression is given by:
[tex]\frac{3}{5} (3y+15)= \frac{9}{5} y+ \frac{3}{5} (15)= \frac{9}{5} y+9[/tex]
PLEASE ANSWER ASAPPPPPPPPPPPPPPPPPP
Share the advantages and disadvantages of the different methods for solving quadratic equations that you have learned. Share special techniques that you have developed along the way. For example, explain to your classmates your technique for remembering the quadratic formula (song, rhyme, rhythm, etc.) to help others remember it as well.
Answers
The factors of a quadratic equation will be (qx + r) and (sx+t). If the solutions are all integers, you may be able to quickly find q, r, s and t. The advantage of this method is that factoring can be very fast. The disadvantage is that factoring may not work; for instance, factoring will not find solutions that are not integers.
Completing the SquareCompleting the square is a multistep process. The main idea is to convert the original equation into one of the form (x + a)^2 = b, where a and b are constants. The advantage of this method are that it always works and that completing the square gives some insight into how algebra works more generally. The disadvantage is that this method is complex.
Quadratic FormulaThe quadratic formula is x = (-b +- (b*2 - 4ac)^.5))/2a. The advantages of this method are that the quadratic formula always works and is straightforward. The disadvantages are that the formula provides no insight and can become a rote technique.
GuessingSometimes, you can guess an approximate solution. Then, you can increase or decrease your guess, depending on whether the result from your first guess is too big or too small. The advantages of this method are that guessing can be very fast if you guess right, and can get an approximate answer quickly, if that is all you need. The disadvantage is that sometimes you won't be able to make a good guess .
Find the value of k
given that the line through (−1, k)
and (−7,−2)
is parallel to the line y = x+1
.
Answers
1 = (-2 - k)/(-7 +1)
Now we'll solve to find k.
Firstly we'll multiple both sides by (-7 + 1):
1(-7 + 1) = (-2 - k)/(-7 +1)(-7 + 1)
-7 = -2 - k
Now we'll add 2 to both sides:
-7 + 2 = -2 - k + 2
-5 = -k
Now to get k by itself we must divide by negative one on both sides:
-5/(-1) = -k/(-1)
5 = k
Your answer is 5 = k
Given two lines are parallel, their slopes are equal. After calculating the slopes of the two lines and solving the equation, we find that the value of 'k' in the question is 4.
Explanation:In the realm of Mathematics, when two lines are parallel, their slopes are equal. The line y = x + 1 has a slope of 1. To find the slope of the line through (−7,−2) and (−1, k), use the formula for slope, which is m = (y2 - y1) / (x2 - x1). Here, (x1,y1) is (−7,−2) and (x2,y2) is (−1, k). Hence, the equation for slope would look like this: m = (k - (-2)) / (-1 - (-7)).
As the slopes are equal, we can form an equation 1 = (k + 2) / 6. Solving this equation will give us the value of k. By multiplying both sides by 6, we obtain 6 = k + 2. Consequently, subtracting 2 from both sides, we get k = 4.
Learn more about Slope of Parallel Lines here:https://brainly.com/question/34207674
#SPJ2
Write an equation of the line in slope-intercept form that crosses the y-axis at 3 and increases at a rate of 1?
y = x - 3
y = x + 3
y = -x + 3
y = 3x + 1
Answers
crosses the y axis at 3...so ur y intercept is 3
in slope intercept form, y = mx + b, the slope will be in the m position and the y intercept will be in the b position
y = mx + b
slope(m) = 1
y int (b) = 3
sub
y = 1x + 3...which can be written as y = x + 3 <=
Which phrase best describes a rock? A. a chemical arranged in a lattice B. a gabbro of minerals C. a mixture of crystals D. a fire-formed crystal
Answers
15 POINTS NEED ANSWER ASAP!! WILL GIVE BRAINLIEST TO FIRST ANSWER
Which mass is greatest? a. 179,000 mg c. 75 g b. 0.043 kg d. 23,481 cg
Answers
75 g = 0.075 kg
23,481 cg = 0.23481 kg
and 0.043 kg
so 23,481 cg has greatest mass
answer
d. 23,481 cg
Solve the inequality
-8x - 10 > 7x + 20
A.) x < - 30
B.) x > - 2
C.) x > - 30
D.) x < - 2
Answers
To solve the inequality -8x - 10 > 7x + 20, combine like terms, isolate the variable term, and solve for x. The correct answer is D) x < -2.
Explanation:We need to solve the inequality -8x - 10 > 7x + 20.
First, let's combine like terms by adding 8x to both sides. This gives us -10 > 15x + 20. Next, subtract 20 from both sides to isolate the variable term. This gives us -30 > 15x. Finally, divide both sides by 15 to solve for x. This gives us x < -2.Therefore, option D.) x < -2 is the correct answer.
Learn more about Inequalities here:https://brainly.com/question/32625151
#SPJ3
Kim learned in her science class that every 2 minutes she spends in the shower, she uses 17 gallons of water. This rate is constant
Answers
The rate of using water per minute will be 8.5 gallons per minute.
What is the rate of flow?The rate of flow of water is defined as the amount of water or any liquid flowing in a unit of time. If the gallons of water are flowing in some minutes the rate will be measured in the gallons of water.
Given that Kim learned in her science class that every 2 minutes she spends in the shower, she uses 17 gallons of water.
The rate of flow of water will be calculated as:-
Rate of flow = Volume of water / Time
Rate of flow = 17 / 2
Rate of flow = 8.5 gallons per minute
Therefore, the rate of using water per minute will be 8.5 gallons per minute.
To know more about the rate of flow follow
https://brainly.com/question/1154328
#SPJ5
The standard error of the mean is calculated using which two quantities:
Answers
33 is 75% of what number?
Answers
33 = 0.75x
33 / 0.75 = x
44 = x <== so 33 is 75% of 44
How do I work out 5x+2+3x
Answers
add same types of numbers
5x + 3x + 2
8x + 2
find x
8x + 2 = 0
8x + 2 (-2) = 0 (-2)
8x = -2
8x/8 = -2/8
x = -1/4
hope this helps
8x + 2
FINAL ANSWER: 8x + 2
You would add 5x and 3x because they are like terms. The 2 is just a regular number, it doesn’t have a variable along with it.
Extra points! Write the equation for the vertical line that contains point E(10, –3).
A) y=(3/10)x-3
B) x=10
C) Other (please write the equation)
Answers
NEED HELP ASAP 30 POINTS WILL BE GIVEN TO BRAINLIEST
The coordinates of the vertices of △GHJ are G(−1, 3), H(1, 2), and J(−3, −1)
Drag and drop the choices into each box to correctly complete the sentences
been trying to solve this but just don't get it I keep getting it wrong on my homework
Answers
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]G(-1,3)\ H(1,2)\ J(-3,-1)[/tex]
Step 1
Find the slope GH
[tex]G(-1,3)\ H(1,2)[/tex]
substitute in the formula
[tex]m=\frac{2-3}{1+1}[/tex]
[tex]m=\frac{-1}{2}[/tex]
[tex]mGH=-\frac{1}{2}[/tex]
Step 2
Find the slope HJ
[tex]H(1,2)\ J(-3,-1)[/tex]
substitute in the formula
[tex]m=\frac{-1-2}{-3-1}[/tex]
[tex]m=\frac{-3}{-4}[/tex]
[tex]mHJ=\frac{3}{4}[/tex]
Step 3
Find the slope JG
[tex]J(-3,-1)\ G(-1,3)[/tex]
substitute in the formula
[tex]m=\frac{3+1}{-1+3}[/tex]
[tex]m=\frac{4}{2}[/tex]
[tex]mJG=2[/tex]
Step 4
Verify if triangle GHJ is a right triangle
we know that
if two lines are perpendicular, then the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
compare slope GH with slope JG
we have
[tex]mGH=-\frac{1}{2}[/tex]
[tex]mJG=2[/tex]
[tex]-\frac{1}{2}*2=-1[/tex] -----> side GH and side JG are perpendicular
The triangle GHJ is a right triangle
The answer in the attached figure
Answer:
- 1/2, 3/4, 2, is, two of these slopes have a product of -1
Step-by-step explanation:
(-11/2x+3)-2(-11/4x-5/2)=expression in simplest form needed!!
Answers
= -11/2x + 3 + 11/2x + 5
= 8
answer
8
The given expression in its simplest form is 8.
The given expression is (-11x/2+3)-2(-11x/4-5/2).
We need to write the given expression in the simplest form.
What is an expression in its simplest form?A simplified expression is one in which each base is written only once, there are no negative exponents and no parentheses. Simplifying an expression makes it easier to solve complex problems, and using the rules for exponents makes simplifying expressions easier.
Now, the given expression can be simplified as follows:
(-11x/2+3)-2(-11x/4-5/2)
=-11x/2+3+22x/4+10/2
=-11x/2+22x/4+3+5
=-22x/4+22x/4+8
=8
Therefore, the given expression in its simplest form is 8.
To learn more about an expression visit:
https://brainly.com/question/16804733.
#SPJ2
Write an equivalent expression using the multiplicative identity property
Answers
For an expression equivalent to, let's say, -8, you could do: -2 + -6.
Strawberry chews cost $0.03 more than lollipops. Sarah pays $0.54 for 2 strawberry chews and 4 lollipops. What is the price of a strawberry chew?
Answers
l = lollipop
s = strawberry chew
[tex] \left \{ {{4l + 2s = 0.54} \atop {s = l + 0.03}} \right. [/tex]
So first of all, let me explain these equations.
4l + 2s = 0.54 means that 4 lollipops and 2 strawberry chews cost $0.54
s = l + 0.03 means a lollipop plus 0.03 equals the cost of a strawberry chew.
Now, let's solve for s.
4l + 2s = 0.54
Subtract 4l from boths sides.
2s = 0.54 - 4l
Divide by 2 on both sides.
s = -2l + 0.27
Substitute.
-2l + 0.27 = l + 0.03
Subtract l from both sides.
-3l + 0.27 = 0.03
Subtract 0.27 from both sides.
-3l = -0.24
Divide by -3 on both sides.
l = .08
.08 + .03 = .11
A strawberry chew costs $0.11
Question 21 the ratio of men to women working for a company is 2 to 3 . if there are 140 employees total, how many women work for the company?
Answers
So the equation is 2x + 3x = 140
5x = 140
x = 28
Men to Women is 2 to 3 so number of women = 3(28) = 84
The area of a garden is 12.9 square feet. Each square foot of the garden needs to have 2.6 pounds of soil.How many pounds of soil are needed for the garden?
Answers
so,for 12.9 square
2.6x12.9=33.54 pound of soils
Please help me with both questions thank you.
Answers
this is the transitive property which states : if a = b, and b = c, then a = c
==================
there is a pattern....light, medium, dark, light, medium, dark....etc
so the 10th item is : the lightest triangle...1st answer choice
Can someone please please help me.
Answers
------------------------------------------------------------------------------
Label each row 1, 2, ..., all the way up to row 7. I'll refer to each statement and reason by the row number. For example, in row 2 we have "statement 2" and "reason 2". Statement 2 is already filled in for us while Reason 2 is blank.
Statement 1 has "CD perpendicular to AE". This is given to us to be true as shown in the "given" portion at the very top of the problem (just under the diagram).
What's also given to us is the fact that "line segment CD is parallel to line segment GH". So we'll write "given" for reason 2.
------------------------------------------------------------------------------
Next up is reason 3, which is "definition of perpendicular". Why is this? Because the statement "angle ABD is a right angle" means angle ABD is 90 degrees. The term "perpendicular" means two lines or line segments or rays cross/meet at a 90 degree angle.
Now onto reason 5. Note how angle ABD and angle GEF are alternate exterior angles. They are outside of the train tracks (CD and GH) and lay on alternate sides of the line FA. Since CD is parallel to GH (see line 2), this means the alternate exterior angles are congruent. For reason 5, we'll put "alternate exterior angles theorem"
------------------------------------------------------------------------------
Statement 7 is the the thing we want to prove. For any proof, the last statement is ALWAYS what you want to prove. If there's anything after this statement then we still have work to do and the proof isn't done. This is the last stop so to speak. So we simply write exactly what we want to prove (next to the "prove:" portion just below the diagram)
Reason 7 is "definition of perpendicular" because GEF is a right angle so GH is perpendicular to line FA. Like with reason 3, a 90 degree angle forms.
------------------------------------------------------------------------------
Once again, check out the attached image to see all of the answers in the right spots.
Sweet T purchased a new pair of pants to wear to the battle of the bands on sale at 40 % off . He saved $20 . What was the regular price of the jeans ?
Answers
The answer is $50 because $20 is 40%, so times that by 2 which you get $20 and 80%. Then you divide 20 by 2 then you get 10 which is 20% so you add 10 and you get $50 which is 100%
An airplane flies at a constant speed. It can travel a distance (
d. of 1,800 kilometer in 2 hours(t) Write an equation in the form is d=rt that represents the relationship between distance (
d. and time (t), where r is the constant of proportionality
Answers
The container that holds the water for the football team is 7/10 full. after pouring out 3 gallons of water, it is 1/2 full. how many gallons can the container hold?
Answers
So you figure that 7/10-5/10=2/10 that leave you with 1/5 left over. So if you take that into effect, all you have to do it multiply those 3 gallons by 5. Which gives you 15. So, your answer would be 15 gallons.
I hope this helped!
I am, yours most sincerely
SuperHelperThingy
I have a Brainliest for math
Answers
Hoped this helped
Feel free to ask anymore questions here at brainly.com
3298 * .10 = 329.8
Hope this helps. (:
How is volume calculated given mass and density?
Sum of mass and density
Mass divided by density
Mass multiplied by density
Difference of mass and density
Answers
Answer:
B.
Step-by-step explanation:
when trying to calculate the volume when being given the M or the mass, and the D or density, hears is the calculations needed for that: P=M/V, which also means volume is the mass divided by the volume, or density. Hence, the answer would be mass divided by density. hope this helps!!! (also, please give me brainliest.)
Volume is calculated given mass and density is Mass divided by density.
What is volume?
Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic meter and liter) or by various imperial units (such as the gallon, quart, cubic inch).
Mass is the quantity of matter in a physical body. It is also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied.
Density is defined as a measure of how compact the mass in a substance or object is.
Since, density of a substance is measure as the ratio of its mass to its volume,
Density = Mass/Volume
or, Density x volume = mass
or, Volume = Mass/Density
Hence,Volume is calculated given mass and density is Mass divided by density.
To, learn more about density:
https://brainly.com/question/15137713
#SPJ6
A line with a slope of 2 passes through (3,9). Which choice is an equation of this line?
Answers
Answer:
y - 9 = 22(x - 3)
Step-by-step explanation:
What is 65.6 divided by 8