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:
Related Questions
Need help Now please
on High School geometry a is altitude, if it doesn’t show on the picture
Answers
Answer:
1. Altitude
2. Median
3. Angle bisector
4. Perpendicular bisector
5. You purchase a bicycle with a retail (pre-tax) price of $760. The local sales tax rate is
7.6%. What is the final cost?
Answers
Answer:
Final cost is 817.76
Step-by-step explanation:
First find the amount of the tax
760 * 7.6%
760 * .076
75.76
Add this to the cost of the bike
760+57.76
817.76
Given the system of equations, what is the x-coordinate of the solution?
y = 3 - x 1/2
3x + 4y = 1
-11
22
-17/2
Answers
Answer:
i think x = -11
Step-by-step explanation:
x = -11
y = -17/2
Answer:
x = -11
Step-by-step explanation:
what's the answer? and how did you get it??
Answers
Answer:
97
Step-by-step explanation:
A straight horizonal line is 180 degrees, so you subtract 83 from 180 to get 97, which is the measure of angle JKL
Pablo has $5,483 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much will he have in 3 years?
(compound interest formu)
Answers
Answer:
$6347.26Step-by-step explanation:
Given:
Initial amount P = 5483Interest rate r = 5% or 0.05Compound number n = 1Time t = 3 yearsFind the total amount in 3 years:
[tex]A = P(1+r/n)^{nt}[/tex][tex]A = 5483*(1+0.05/1)^{1*3}=5483*(1.05)^3 = 6347.26[/tex]Here we've been given,
Principal amount (p) = $5843 Compound number (n) = 1 Rate of Interest (r) = 5% = 5 × 1/100 = 0.05 Time (t) = 3 years A = ?The standard formula for Compound interest (C.P) is given by,
[tex]:\implies\tt{A = p( { \frac{1 + r}{n} )}^{n \times t} } \\ \\ \\ :\implies\tt{A = 5483( { \frac{1 + 0.05}{1}) }^{1 \times 3} } \\ \\ \\ :\implies\tt{A = 5483 \times {1.05}^{3} } \\ \\ \\ :\implies\tt{A = 6347.26}[/tex]
Can someone please give me the (Answers) to this? ... please ...
Answers
Answer:
Step-by-step explanation:
How would I simplify radical expressions?
Answers
[tex]\sqrt{36x^8y^4}\\\\=\left(6^2 x^8 y^4\right)^{\tfrac 12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12} \right]\\\\=\left(6^2\right)^{\tfrac 12} \cdot \left(x^8\right)^{\tfrac 12} \cdot \left(y^4\right)^{\tfrac 12}\\\\=6^{\tfrac 22} \cdot x^{\tfrac 82} \cdot y^{\tfrac 42}\\\\=6 x^4 y^2[/tex]
15 more than the quotient of a number x and 12.
Answers
Answer:
(x/12)+15
Step-by-step explanation:
A nursery has 15 bags of topsoil. Each planter holds 1/8 of a bag.
How many planters can be filled with the topsoil?
Enter your answer in the box.
|__| planters
MUST HAVE:
*Show work*
Answers
Answer:
120 planters can be filled with topsoil.
Step-by-step explanation:
Since each planter can hold 1/8th of a bag of topsoil, this means that one bag of topsoil can fill up 8 planters.
15 x 8 = 120, so this means that 120 planters can be filled with topsoil.
:)
9. Change the given equation to the form y = mx + b. Give the values of b and m.
x + 4y = 16
B=
M=
Answers
subtract x
4y = -x+16
divide 4 from 4y and divide by 4 on other side too
(4y/4) = (-x/4) + (16/4)
y=-1/4x+4
M=-1/4
B=4
PLEASE HELP
Solve for x
Answers
Answer:
you get 32
Step-by-step explanation:
pls help on my maths question
Answers
Answer:
Somewhat illegible but looks like the equation should be:
S = u t + 1/2 a t^2
100 = 20 + 1/2 * a * 4 where t = 2
a* 4 = 160
a = 40
Sleeper Class coaches of the Indian Railways have a seat numbering arrangement as shown
below. Each 'cubicle' seats 8 people as shown.
WINDOW SIDE
4
10
Middle
Seats
2.
6
3
AISLE (PASSAGE)
8
SIDE SEATS
7
Ramesh and his parents have 3 tickets and their seat numbers are 29, 30 and 31. What are their
seats?
A One aisle, one window, one middle seat.
B One middle, one aisle and one side seat.
C One aisle and two side seats
D Two side seats and one window seat
Answers
A train accelerates at an average rate of 0.33 meter per second squared, and the
train starts from a complete stop. Find how long it will take the train to reach its
maximum velocity of 48 meters per second.
Pls someone help ASAP
Answers
Answer:
I don't know
Step-by-step explanation:
please mark me as the brainlist
Write the inequality represented by the graph below.
Answers
Answer:
y > -x + 3
Step-by-step explanation:
find the slope and y-intercept so you can create a linear equation:
y = mx + b ; m = slope and b = y-intercept
slope (m) = (3-0) / (0-3)
m = 3/-3 or -1
we can see the y-intercept by looking at the graph, it is 3
y > -x + 3
what number set does -7 belong to
Answers
Answer:
Integers
Step-by-step explanation:
Integers include both positive and negative numbers. This is the simplest answer. This set doesn't include any fractions or decimals. Integers are a subset of rational numbers, which are a subset of real numbers, which are a subset of complex numbers.
Find 3 other points for this equation ( please help!! ) not bots.
Answers
Answer:
(0,6), (1,7), (2,8)
Step-by-step explanation:
Two times 3X times Y times 4Z times X times Y times Z
Answers
Answer:
24*(X^2)*(Z^2)*(Y)
Step-by-step explanation:
2*(3X)*(4Z)*(X)*(Y)*(Z)
2*(3X^2)*(4Z)*(Y)*(Z) [Combine like terms (X)]
2*(3X^2)*(4Z^2)*(Y) [Combine like terms (Z)]
24*(X^2)*(Z^2)*(Y) [Combine like terms (2*3*4)]
The table shows the distance between Greenville and nearby towns. The distance between Astaville and
Greenville is 14 miles less than the distance between Greenville and Jonesborough,
Distance between Greenville and
Nearby Towns(miles)
Jonesborough
24
Willfower 21
Maybem 30
Part 1 out of 2
Enter two equations that state the relationship of the distances between the three towns. Use x as the
variable
Answers
Sketch the graph of each line
Answers
The standard equation of a line is y = mx+ b
where:
m is the slope of the lineb is the y-intercept of the lineThe y-intercept is the point where the line cuts the y-axis
For the equation y = -2x -4
For the equation, the line will cut the y-intercept at y = -4 with a negative slope of -2.For the equation y = -5/2x
For the equation, the line will cut the y-intercept at y = 0 with a negative slope of -5/2.Find the graphs attached.
Learn more on graphs here: https://brainly.com/question/25020119
Can someone help me with 45 ?
Answers
Answer:
h⁰ = 84⁰
f⁰ = 132⁰
g⁰ = 28⁰
Step-by-step explanation:
As we know that sum of all the angles in a triangle is 180⁰, so,
h⁰ + 48⁰ + 48⁰ = 180⁰
h⁰ = 84⁰
Now, we can find f⁰ by Linear Pair theorem, which states that the angles sum will equal to 180⁰.
48⁰ + f⁰ = 180⁰
f⁰ = 132⁰
Again, g⁰ can be founded the same way as h⁰.
20⁰ + 132⁰ + g⁰ = 180⁰
g⁰ = 28⁰
HOPE IT HELPS :)
Solve for b
32 = 12 + 5/6b
Answers
Answer:
b=24, please give Brainliest if this helped you
Step-by-step explanation:
an equivalent expression to x-2y+3
Answers
Answer:
[tex]y=\frac{-x-3}{-2}[/tex]
Step-by-step explanation:
1. The first thing you should do is put it equal to 0:
[tex]x-2y+3=0[/tex]
2. You want to get y by itself so the next thing you do is subtract 3 to the other side because it is being added right now. It should look like this:
[tex]x-2y+3=0[/tex]
-3 -3
[tex]x-2y=-3[/tex]
3. Since x is also being added on the left side of the equation you want to get x to the other side so you do the opposite of addition (subtraction) and subract the x to the other side of the equation:
[tex]x-2y=-3[/tex]
-x -x
[tex]-2y=-x-3[/tex]
4. The next thing you want to do is get rid of that -2. Right now it is being multiplied by the y and the opposite of multiplication is division, so you are going to want to divide -2 by both sides of the equation.
[tex]\frac{-2y}{-2} =\frac{-x-3}{-2}[/tex]
5. The -2's cancel out and the right side of the equation cannot be simplified anymore which makes the new or equivalent equation:
[tex]y=\frac{-x-3}{-2}[/tex]
The relationship between y and x is 9/3 which table represents this relationship and why?
Answers
Answer:
First one
Step-by-step explanation:
For every 1 in x the y goes up by 3
Hayley is considering two gym membership plans. The plans are detailed here.
HELP ASAP 10 POINTS
Plan One: $40 for a monthly pass plus $4 for each gym visit
Plan Two: $12 for each gym visit.
Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?
Answers
Answer:
aye she probally not gonna go every day she polly gonna got twice so just pay 4 every visit
Step-by-step explanation:
May someone help me please!
Answers
Answer: i got you my boi answer is x > -3
Step-by-step explanation:
How many combined points do lee high school and rye high school have lee high school has 85.9 points scored in two track meets and peters high school has 15.5 points scored in two track meets and rye high school has 23.4 points scored in two track meets what is the combined total points for all three highschools? Lee high school and rye high school have _ combined points
Answers
Answer:
124.8 points (Total)
109.3 points (Lee High School & Rye High School)
Step-by-step explanation:
Points by Lee High School = 85.9 pointsPoints by Peters High School = 15.5 pointsPoints by Rye High School = 23.4 pointsTotal
85.9 + 15.5 + 23.4101.4 + 23.4124.8 pointsLee HS and Rye HS
85.9 + 23.4109.3 points1.(−9)÷ ?=5
2.?÷(−2)=−6.41
Answers
And for question two it's -12.82
Solve for b.
2/3+5=20-b
Answers
The total cost for attending the rodeo carnival can be found using the function f(x) = 2.25x + 18, where x is the number of food tickets purchased. If a family
purchases between 4 and 8 food tickets, what is the domain and range of this situation?
Answers
Answer:
domain is {4,5,6,7,8}, range is the other numbers in brackets
Step-by-step explanation: