2. What additional Information What additional information do you need to prove ABC = DEF by the SSS Postulate?
AC = DF
AB = DE
BC = EF
Answers
We already know the other sides
Related Questions
Please help- not a test. 15pts.
The orthocenter of ΔABC lies at vertex A. What can you conclude about the line segments BA and AC? Explain.
Answers
Answer:
You can conclude that the line segments BA and AC are perpendicular to each other.
Step-by-step explanation:
That is because in this case, the triangle presented would be a right triangle. In right triangles, the orthocenter is the vertex of the triangle where two of the segments intersect perpendicularly, forming a 90 degree angle. As the orthocenter is where the altitudes intersect (altitudes are 90 degrees), we are able to conclude that BA and AC are perpendicular to each other.
Answer:
CE
AE
segment addition postulate
Given: ABC is a triangle.
To prove: BC + AC > BA
Proof: In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to CE and AE is the shortest distance from A to CE because of the shortest distance theorem.
Therefore, and .
Now, add the inequalities, we get
.
Then, because Segment addition postulate (states that given 2 points E and F, a third point D lies on the line segment EF if and only if the distances between the points satisfy the equation ED + DF = EF)
Therefore, by substitution.
Step-by-step explanation:
Consider the equation.
8x - 16y = - 14
The equation representing a line that is parallel to the line given and passing through the point (3, 0) is y= ___ x + ___
Answers
Answer:
[tex]y= \frac{1}{2}x+3[/tex]
Step-by-step explanation:
Rearrange equation to isolate y variable.
[tex]16y=8x+14[/tex]
Divide by 16 on both sides.
[tex]y=\frac{1}{2} x+7[/tex].
To make the line parallel to the given equation and pass through (3,0),
we will move the y intercept to 3.
[tex]y= \frac{1}{2}x+3[/tex]
Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression that represents Kali’s earnings for the week is shown.
2 (8 x) + 5 (box)
Which number should go in the box to complete the expression?
2
5
6
8
Answers
Answer:
8
Step-by-step explanation:
8 will go in the box
Jimmy takes a loan of 10,000$ at 12% per year as rate of interest . Find the amount, he will be required to pay after 1 year to settle the loan .
kindly stay out if u don't know the answer :)
spams , plagiarism = reported
Thanks for answering...
Answers
Answer:
1200 I THINK
Step-by-step explanation:
Answer :-
11200Step by step explanation :-
Here,
Principal = 10,000Time = 1 year rate = 12 %The intrest payable on 100$ for 1 year = 12 $
The interest payable on 10,000$ borrowed for 1 year
[tex]( \frac{12}{100} \times 10000)[/tex][tex]1200[/tex]so, at the eand of the year , he has to give an amount of $ ( 10,000 + 1200 )
11200 $on a winter day, the maximum temperature of an island was recorded 15.5°C and the minimum temperature was recorded -2.5°C. what is the difference between the maximum and the minimum temperature on that day?
Answers
Answer:
The difference between the maximum and the minimum temperature on that day is [tex]18^0C[/tex]
Step-by-step explanation:
The maximum temperature of an island was recorded [tex]15.5^0C[/tex]
The minimum temperature was recorded [tex]-2.5^0C[/tex]
Difference in temperature
[tex]=15.5--2.5\\\\=18^0C[/tex]
Answer:
the difference between 15.5 and -2.5 is 18
Step-by-step explanation:
Carmen can make 9 bracelets each day. She needs to make at
least 120 bracelets to sell at a craft fair. She estimates she will need more
than 13 days to make enough bracelets. Is she correct? Explain.
Answers
Step-by-step explanation:
yes because If you divide 120 by 9 you get 13.333 so technically speaking she is correct
on a coordinate plane, triangle a b c is shown. point a is at (negative 1, 1), point b is at (3, 2), and points c is at (negative 1, negative 1)if line segment bc is considered the base of triangle abc, what is the corresponding height of the triangle?
Answers
Answer:
The corresponding height of the triangle is [tex]1.2[/tex]
Step-by-step explanation:
We have[tex]\Delta ABC[/tex]
Here [tex]AD[/tex] is the height
We need to draw perpendicular from [tex]A[/tex] to [tex]BC[/tex]
The distance from the point [tex](m, n)[/tex] to the line [tex]A x+B y+C=0[/tex] is given by:
[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}[/tex]
First let us calculate equation of [tex]BC[/tex]
[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{2--1}{3--1} (x-3)\\\\y-2=\frac{3}{4} (x-3)\\\\4y-8=3x-9\\\\3x-4y=1[/tex]
Now distance from [tex](-1,1)[/tex] to [tex]3x-4y-1=0[/tex] is
[tex]d=\frac{|A m+B n+C|}{\sqrt{A^{2}+B^{2}}}\\\\=\frac{|3 \times1+-4\times-1-1|}{\sqrt{3^{2}+(-4)^{2}}}\\\\=\frac{6}{5}\\\\=1.2[/tex]
Find the measures of x and y
Answers
Answer:
x = 65°y = 25°Step-by-step explanation:
We can clearly see that 90 = x + 25. Let's solve for x.
=> 90 = x + 25=> x = 65°Since we found x, we can find y by substituting x in the equation 90 = x + y
=> 90 = x + y=> 90 = 65 + y=> y = 25°Conclusion:
Therefore, we found that:
x = 65°y = 25°Hoped this helped.
[tex]BrainiacUser1357[/tex]
Can someone plz help Me?
Answers
Answer:
C.
Step-by-step explanation:
Dont quote me but im pretty sure it's C here's why:
2/3 is .667 which means the trash compactor crushes the trash .01 kilo per 1 second 3/8 minutes being closest .25 means that it can crush it roughly in 22 second or 3/8 minutes.
How many solutions does this equation have?
4h + 2 = 2 + 4h
Answers
should be 4
Step-by-step explanation:
Find m angle O Y X in the diagram above.
URGENT!!
Answers
Answer:
• Angle OYW or Angle WYO is 90°
• Angle OYX or Angle XYO is 90°
• Angle WYX is 180° [ A straight line ]
Step-by-step explanation:
Line WYX is a perpendicular bisector of radius lind of the circle.
[tex]{}[/tex]
Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,200 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation
They will be at the same altitude in _ minutes, when their altitude will be _ feet.
Answers
Answer:
6 seconds., 16800 feet
Step-by-step explanation:
The first plane is going y = -3200x + 36000
The second plane is going y = 2800x
Substitute the second equation for y into the first one:
2800x = -3200x + 36000
6000x = 36000 (Add 3200x to both sides)
x = 6 (Divide each side by 6000)
That means they will be the same altitude at 6 minutes.
To find how high, put your answer into one of the equations.
y = 2800 (6)
y = 16,800 feet
Which set of ordered pairs has a range of {0, 1,4}?
А
(0, 0), (0, 1), (4, 1)
B
(0, 2), (1, 2), (4, 2)
с
(0, 0), (0, 1), (0, 2), (0, 4)
D
(-1,0), (0, 1), (2, 1), (3, 4)
Answers
Answer: А
(0, 0), (0, 1), (4, 1)
Answer:
D
Step-by-step explanation:
As you can see in the pic, range is the y-coordinate. C is not the answer bcs the range of C is {0,1,2,4}
Use the diagonals to determine whether a parallelogram with vertices A(2, 7), B(7, 9), C(5, 4), and D(0, 2) is a rectangle, rhombus, or square. Give all the names that apply.
Answers
Step-by-step explanation:
A and B have among each other the same distance relation as D and C : +5 in x, and +2 in y direction
and D and A have among each other the same distance relation as C and B : +2 in x, and +5 in y direction.
that means the slope of the first pair of sides is 2/5, and the slope of the second pair of sides is 5/2.
and that means that these 2 pairs of lines are not perpendicular (for this not only would we need to have the ratio upside down but also the sign would need to be flipped). there are no 90° angles.
so, there is no rectangle or square.
but because the sums of x and y coordinate differences are the same, we have the same distances between neighboring points.
and that makes it a rhombus.
EWFrtujyhytgrfeds.DFGFDS
Answers
Answer:
Reese's puffs Reese's puffs
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven.
Part A
Let m = the number of miles Mr. Parker drives for the day. Choose the expression that shows the amount he will pay for the van.
A. 50m + 0.35 B. 0.35 + m + 50 C. m(0.35 + 50) D. 50 + 0.35m
Part B
Evaluate the expression you wrote to find the amount Mr. Parker will pay if he drives 80 miles.
Enter your answer in the box.
$
Answers
Answer:
Part A is D and part B is 78
Step-by-step explanation:
for part b 80 x0.35 is 28
28+50 is 78
Research suggests that high school students could benefit from later school starting times. A school administrative team is considering a proposal to move the starting time of the local high school one hour later than the current start time. To measure interest in the proposal, members of the team randomly select subjects attending a large soccer tournament played on the high school grounds on a Saturday morning. The team finds that 58% of those surveyed support a later high school start time. Which type of bias is most likely to be present in the survey results?
This is undercoverage bias because adults with children are more likely to be included in the sample.
This is question wording bias because the phrasing of the later start times question may be confusing to some subjects.
This is nonresponse bias because some of those selected may choose to not provide their opinion on later start times.
This is voluntary response bias because vocal supporters of later start times will be more likely to offer their opinion.
Answers
Answer:
This is voluntary response bias because vocal supporters of later start times will be more likely to offer their opinion.
Step-by-step explanation:
Answer:
undercoverage bias
Step-by-step explanation:
Is 30 squared, 10 squared, 50 squared, 30 squared, or 60squared closest to 5?
Answers
Answer:
if you are dividing by 2 then 10 is closer but if you multiplying .. 10 is still closer
Round 1.09 to the nearest whole number.
Answers
Answer:
1
Step-by-step explanation:
1.09 is in between the whole numbers 1 and 2. it is closer to 1 since the tenths digit (0) is less than 5. if it were 5 or greater, then we would round up to 2.
Answer:
1
Step-by-step explanation:
1.09 is closer to 1 than 2, therefore the whole number is 1.
If you were counting people or objects, well you can't have 9/100 as a person so you'd round to 2. But in this case, round to 1!
I hope this helped :)
ok the other one did not work so what 10 + 10 × 10 + 10 ÷ 10
Answers
Answer:
111
Step-by-step explanation:
it is correct 10 + 10 × 10 + 10 ÷ 10= 111
mark as brainliest
PLEASE HELP!!!!! 100 points!!!
The angle of elevation from an anchor to the top of a flag pole is 22 If the pole is
10 meters high, how long does the wire connecting the anchor to the pole must be?
(Round answer to the 1st decimal place.)
Answers
Answer:
26.7 mStep-by-step explanation:
The 22 degree angle is opposite to the 10 m side of the right triangle.
We need to find the length x of the hypotenuse.
Use trigonometry:
sine = opposite/hypotenusesin 22° = 10/xx = 10 / sin 22° x = 26.7 m (rounded)Answer:
PLEASE HELP!!!!! 100 points!!!
The angle of elevation from an anchor to the top of a flag pole is 22 If the pole is
10 meters high, how long does the wire connecting the anchor to the pole must be?
(Round answer to the 1st decimal place.)
A store sells tents,sleeping bags,and campstools.A customer buys a tent, 2 sleeping bags, and 3 campstools for 212$.the price of the tent is 5 times the cost of a campstool.the cost of a sleeping bag is 6$more than the cost of a campstool.find the cost of was just item
Answers
The cost of each campstools, tent and sleeping bag is $20, $100 and $26
let
tent = 1
sleeping bags = 2
campstools = 3
Total cost = $212
tent = t
sleeping bags = s
campstools = c
If
t = 5c
s = c + 6
Total = t + 2s + 3c
212 = 5c + 2(c + 6) + 3c
212 = 5c + 2c + 12 + 3c
212 = 10c + 12
212 - 12 = 10c
200 = 10c
c = 200/10
c = 20
t = 5c
= 5 × 20
= 100
s = c + 6
= 20 + 6
= 26
Therefore, the cost of each campstools, tent and sleeping bag is $20, $100 and $26
Learn more about equation:
https://brainly.com/question/4916384
Jacob R. Scored a 25 on his quiz Last week. This week he scored a 70 on his quiz. By what percent did jacobs improve his grade?
Answers
Based on his score last week and his score this week, we can say that Jacob increased his score by 180%
Jacob scored 25 in his test last week and then this week scored 70.
The increase can be found as:
= (New score - Old score) / Old score x 100%
Solving gives:
= (70 - 25) / 25 x 100%
= 180%
In conclusion, Jacob increased by 180%
Find out more at https://brainly.com/question/22444616.
4. A donut shop bakes 4 dozen donuts every 18 minutes. How long did it take for the bakery to complete its
order of 144 donuts?
Answers
Answer:
54 minutes
Step-by-step explanation:
4 Dozen is 48
So we will need to know how many 18 minutes it takes to back 144 donuts
So divide 144 by 48
Which is 3
So you will need 3, 18 minutes to make 144 donuts
Now multiply 18 by 3 which is 54
So it takes 54 minutes to bake 144 donuts
Hope this helps!
Step-by-step explanation:
4 Dozen = 4 x 12 = 48 every 18 minutes
144/48 = 3
3 x 18 = 54 minutes
Erin made cookies in the shape of animals. Out of the 40 cookies she made, 16 of them were shaped like a giraffe. What percent of the cookies were shaped like giraffes?
Answers
Answer:
40
Step-by-step explanation:
16/40×100
= 1600/40
= 160/40
= 40
what is the value of k makes the equation trur
Answers
Answer:
where is the equation??
pls attach that
Lena was playing a card game. She placed the cards in 2 rows of 26 cards each. In which other way can Lena place all of the cards?
Answers
Answer:
4 raws of 13 each
Step-by-step explanation:
The total number of cards =2×26=52we can divide 52 by 4 which is 13Which graph represents the solution set of the system of inequalities?
{y<2x+2x+y≥−3
Answers
Answer: the first graph (A)
Step-by-step explanation: are you actually low IQ or intellect this is the most easiest question I have ever seen I just finished this topic in my honor math class like last month in a week. BTW I am in the 9th grade
Now I got to tutor you so here you can use the process of elimination which you can see that < without the line below it means that the line is dotted and is the only one with a y-intercept of +2 is A and D are the only ligament answer now you dumc as i can't curse due to that i will get reported, so anyways go up 2 and go 1 to the right because it is 2x which is 2/1x rise/run and it is positive which means D is wrong because it has a negative slope which the only answer for this is A now get your (can't say) together and study.
Given the function f(x) x^2-2x/x^3 +9x^2-10x Find any holes, vertical asymptotes, and horizontal asymptotes there may be.
Answers
Answer:
See below
Step-by-step explanation:
I assume you mean [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex]:
Holes: Since [tex]f(x)=\frac{x^2-2x}{x^3+9x^2-10x}[/tex] reduces to [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex], then there is a hole at [tex]x=0[/tex] as [tex]x[/tex] exists in both the numerator and denominator (however, its limit as x approaches 0 is 1/5).
Vertical Asymptotes: If we further reduce [tex]f(x)=\frac{x(x-2)}{x(x^2+9x-10)}[/tex] to [tex]f(x)=\frac{x-2}{(x+10)(x-1)}[/tex], then we see that there are vertical asymptotes at [tex]x=-10[/tex] and [tex]x=1[/tex]
Horizontal Asymptotes: As the degree of the numerator is less than the degree of the numerator ([tex]2<3[/tex]), then there is a horizontal asymptote at [tex]y=0[/tex]
which is a better deal? 5 pens for $1.85 OR 8 pens for $3.12 ? find the unit rate
Answers
Answer:
5 pens
Step-by-step explanation:
1.85 divided by 5 is .37
3.12 divided by 8 is .39
so 1.85 is a better deal