Triangle A B C is shown. Lines are drawn from each point to the opposite side and intersect at point D. They form line segments A G, B E, and C F.
In the diagram, which must be true for point D to be an orthocenter?
BE, CF, and AG are angle bisectors.
BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB.
BE bisects AC, CF bisects AB, and AG bisects BC.
BE is a perpendicular bisector of AC, CF is a perpendicular bisector of AB, and AG is a perpendicular bisector of BC.
Answers
Answer:
B BE⊥AC, CF ⊥AB
Step-by-step explanation:
on Edge
In the given triangle ABC, point D is orthocenter when BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB.
What is an orthocenter of a triangle?"The orthocenter is the point where all the three altitudes of the triangle cut or intersect each other."
In the given triangle ABC, to be an orthocenter, all three lines that are drawn from the points A, B, and C are must be perpendicular to the opposite side of the triangle.
Therefore, AG must be perpendicular to BC, BE must be perpendicular to AC, and CF must be perpendicular to AB.
Learn more about the orthocenter of a triangle here: https://brainly.com/question/19763099
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Related Questions
What is the coefficient of the term 6xy ?
Answers
Answer:
6
Step-by-step explanation:
coefficient is 6
Y=2x-7 2x+y=5 solve the system
Answers
Plug in -1 for y and solve for x
2x+1=7, x=3
Final answer: x=3, y=-1
Answer:
x=3 y=-1
Step-by-step explanation:
y=2x-7
2x+y=5
___________________
2x+2x-7=5
4x-7=5
4x=12
x=3
___________________
2(3)-7=y
6-7=y
-1=y
M is the midpoint of LN. If LN = 90, what is LM?
Answers
Answer:
LM = 45
Step-by-step explanation:
M is the midpoint of LN. If LN = 90, what is LM?
L––––––N
From the question
M is the midpoint of LN.
Hence:
L––M––N
Since M is the Midpoint of LN, it means LN is divided in 2 equal parts
LM , MN
So, LM + MN = LN = 90
If LN = 90, LM = 90/2
LM = 45
A rental car agency charges $240.00 per week plus $0.25 per mile to rent a car.How many miles can you travel in one week for $380.00?
(Type a whole number)
Answers
Answer:
m=980
Step-by-step explanation:
There's a video in Google on how to do this.
2.3 Practice Part
Solve each system using the substitution method
1) y = 4x + 10
y = 3x + 7
Answers
Answer:
34
4x+10=14
3x+7=10
10×+4
34
Which of the sets of ordered pairs represents a function? (1 point)
A = {(2,7), (1,-5), (7, 2), (2, -9)}
B = {(5,3), (-2,-9), (-3, 8), (9,3)}
a.
Only A
b.
Only B
C.
Both A and B
d.
Neither A nor B
Answers
Answer:
Only B
Step-by-step explanation:
A has 2 pairs with the x as the number 2, so they are not functions.
B has all independent pairs with their own numbers
So only B is the correct answer.
solve for a
-7=-ax-16
Answers
Answer:
x=-9/a and a=-9/x
Step-by-step explanation:
Last quarter, 84 seventh grade students made honor rolls. if there are 400 students in the seventh grade, what percent made honor rolls.
Answers
Explanation: 84/400=0,21
0,21 x 100=21
I just need help understanding how to calculate for the angles and sides because my teacher is absent when I need help the most. Anything is much appreciated
Answers
Answer:
I will give you the best knowledge I can offer at this moment.
One thing to understand:
- When dealing with angles in a triangle, know that EVERY angle has to add up to 180*. ( * = degrees)
Based on the image provided, I'm assuming that you are learning how to classify triangles based on the angles and side lengths. There are mainly 6 types of triangles:
3 based on sides
3 based on angles
The 3 based on sides
Scalene Triangle
A scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. In a scalene triangle, all the interior angles are also different.
Isosceles Triangle
In an isosceles triangle, the lengths of two of the three sides are equal. So, the angles opposite the equal sides are equal to each other. In other words, an isosceles triangle has two equal sides and two equal angles.
Equilateral Triangle
In an equilateral triangle, all the lengths of the sides are equal. In such a case, each of the interior angles will have a measure of 60 degrees. Since the angles of an equilateral triangle are same, it is also known as an equiangular triangle.
The 3 based on angles
Acute Triangle
An acute triangle is a triangle whose all the three interior angles are acute. In other words, if all interior angles are less than 90 degrees, then it is an acute-angled triangle.
Obtuse Triangle
Obtuse triangles are those in which one of the three interior angles has a measure greater than 90 degrees. In other words, if one of the angles in a triangle is an obtuse angle, then the triangle is called an obtuse-angled triangle.
Right Triangle
A right triangle is a triangle in which one of the angles is 90 degrees. In a right-angled triangle, the side opposite to the right angle (90-degree angle) will be the longest side and is called the hypotenuse. You may come across triangle types with combined names like right isosceles triangle and such, but this only implies that the triangle has two equal sides with one of the interior angles being 90 degrees.
I hope this information helps with your math class and studies!
A six-sided die is rolled. What is the probability of rolling a three or six
Answers
Answer:
The probability is 1/6 for each side. Each side has a 1/6 chance of getting rolled.
It would be 2/6 if your trying to get either 3 or 6 because there's two sides you can get which would equal 2/6.
Step-by-step explanation:
I hope this helped, have a nice day!
The probability of rolling a three or six is 2/6
What is probability?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes.
The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Given:
probability of getting 2= 1/6
probability of getting 6 = 1/6
So, the probability of rolling a three or six
=1/6 + 1/6
=2/6
=1/3
Hence, probability of rolling a three or six is 1/3.
Learn more about probability here:
https://brainly.com/question/11234923
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What is being done to the variable in the equation a/-7 = 84? SOMEONE HELP ASAP
It's being divided by 84.
It's being multiplied by 84.
It's being multiplied by -7.
It's being divided by -7.
Answers
Answer:
It's being divided by -7
Step-by-step explanation:
9514 1404 393
Answer:
It's being divided by -7.
Step-by-step explanation:
The equation is read as ...
"A divided by minus seven is equal to eighty-four."
The wording "A divided by -7" means the value of the variable is being divided by -7.
What is the value of the missing exponent in the equation 0.583 X 10 = 583 ?
0 1
O 2
O 3
04
Answers
Answer:
3
Step-by-step explanation:
0.583 times 10 to the power of 3 moves the decimal point 3 places to the right to make it 583
solve for n. 9n + 120 = 336
Answers
Answer:
the answer is n=24
Step-by-step explanation:
hope this helps :)
Answer:
n=24
Step-by-step explanation:
9n+120=336
9n=216
n=24
At Gamestop you can buy a Xbox One for $150 and each game to go with it would cost $24. Or, you can buy a Playstation 4 for $180 and each game for $20. Write an equation to determine how many games would need to be purchased for the cost to be equal?
Answers
Answer:
Xbox One is the better console to buy.
Adding the game console for $150.00 with 7 games costing 24, they will cost you $318.00
While the PlayStation 4 with the 7 games cost a total of $320.00
Step-by-step explanation:
Perfume is sold in 2 different sized bottles. The 80ml is priced at £55 and 100ml is £67.50. By finding the the price per ml, determine which one is best value for money.
Answers
Answer:
The best value for money is the perfume that has a 100 ml bottle because the price per ml is lower.
Step-by-step explanation:
To find which one is the best value for money, you need to find the price per ml in each case by dividing the price by the amount of ml:
-80 ml: 55/80=0.687
-100 ml: 67.50/100=0.675
According to this, the answer is that the best value for money is the 100 ml bottle because the price per ml is lower with £0.675 per ml and the 80 ml bottle has a price of £0.687 per ml.
Solve the right triangle ABC (round to the nearest tenth):
angle B =
a =
b =
Answers
Answer: angle B= 54 degrees, a=6, b=8
Step-by-step explanation:
Add the two angles we have to get 126 degrees. Subtract that from 180 degrees to get 54 degrees.
We don't know enough to say which is which for a and b, but we can know that it is 6 and 8 because of pythagorean triples (3,4,5).
Answer:
Angle B = 54 degrees, a= 5.88 or round it to 6 and b=8.09 or round it to 8
Step-by-step explanation:
Angle B:
A right angle triangle always equals 180 degrees, and the right angle (the corner) equals 90 degrees.
B = 180 degrees - 90 degrees - 36 degrees
B = 54 degrees
a:
a = 10 sin 36 degrees
a = 5.88 or rounded to 6
b:
b = 10 cos 36 degrees
b = 8.09 or rounded to 8
Find the distance between the two points.
. (-3,-1), (6,2)
help please !!
Answers
Answer:
Step-by-step explanation:
Solve for x
X=
Please explain how you got the answer.
Answers
Answer:
x = 8
Step-by-step explanation:
(please verify) if line segment LM is congruent to line segment PN; then
9x - 25 = 5x + 7; subtract 5x from both sides
4x - 25 = 7; add 25 to both sides
4x = 32; divide by 4
x = 8
Answer:
x=8
Step-by-step explanation:
look at the picture for the work.
A retail outlet's sales for January were $45,000. In February, these sales decreased 10%; but from February to March, sales increased 10%.
What were the outlet's sales for the month of March?
a. $44,550
b. $49,500
c. $40,500
Answers
Step-by-step explanation:
$44,550
Please help!!!!!!!!!!!!!!!
Answers
well if you look at it it comes at a slope
find the value of the variable if they are in G.P.
k-5,k+1,k+5
Answers
Answer:
k is the variable
Step-by-step explanation:
what is the next fraction in this sequence?
8/12, 7/12, 6/12, 5/12...
please help I'm not sure if it's 4/12 or 1/3
Answers
Answer:
4/12
Step-by-step explanation:
if you look 6/12 wasn't simplified so I would guess that you would leave it as 4/12
Which of the following options have the same value as
80%, percent of 22?
Answers
Answer:
17.6
Step-by-step explanation:
17.6 ÷ 22= 0.8 (80%)
A function f(x)is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box. f(x)= $\text{Basic}$Basic 789÷Divided by456×Multiplied by123-Minus0.,+PlusLeftRightBackspace=Equals $x$x$y$y$x^2$x2$\sqrt{ }$√$\frac{x}{ }$ x $x\frac{ }{ }$x $x^{ }$x$x_{ }$x<>±$%$\degree$°:$\left(\right)$()$\abs{ }$$\pi$π$\infty$∞
HELP RIGHT NOW!
Answers
Answer:
5(1.4)^x
I took the test :)
Step-by-step explanation:
Answer:
5(1.4)^x
Step-by-step-explanation:
I took the Unit Test
I ONLY HAVE 5 MIN TO TURN THIS IN PLS HELP!!!!!!!!!!!!!!!!!!!!!!
Combine like terms
-7y-2-4x-2y+6x+6y-2
Answers
Answer:
-3y-4+2x
Step-by-step explanation:
Answer:
2x - 3y - 4Step-by-step explanation:
-7y-2-4x-2y+6x+6y-2
6x - 4x - 7y - 2y + 6y - 2 - 22x - 3y - 49. The difference between two numbers is 24. Find the numbers if their
sum is 88.
Answers
Answer:
The numbers are 56 and 32
Step-by-step explanation:
Let the two numbers be x and y
x - y = 24
x = 24 + y --- ( 1 )
x + y = 88 --- ( 2 )
Substitute ( 1 ) into ( 2 ):
24 + y + y = 88
2y = 88 - 24
2y = 64
y = 32
Substitute y = 32 into ( 1 ):
x = 24 + 32
x = 56
Blank/25 = %44
I have to write over 20 characters so I'm writing this.
Answers
Step-by-Step-Explanation:
Blank/25=%44
Blank= 0.44(25)
Blank= 11.00
Help me ill give brainllist!!!!!!!!
Answers
Answer:
the shape is semetrical
Step-by-step explanation:
Answer: The facts Ab=Dc and Ac=Db are enough to show that Triangle ABC and Triangle DBC are congruent. This means that their similar angles will be equal like their sides.
1/3÷1/9 plesojbghnbugygvjb
Answers
Answer:
3
Step-by-step explanation:
aiufjnsldfncsdkcieo
Answer:
3
Step-by-step explanation:
To divide by a fraction, multiply by the reciprocal of that fraction
1/3×9/1
then we reduce the numbers ( 3 and 9)
then the answers comes as 3
The Clark family went out to dinner. If their
dinner bill came to $81.50 and they wish to
leave a 18% tip, how much should they tip?
Answer options. $14.69. $12.45. $10.00
Answers
Answer would be : $14.67
They tipped $14.67
Answer:
$14.69
Step-by-step explanation:
To start with, convert the 18% to a genuine number that can be utilized in a figuring. For percent, this is constantly done by essentially isolating the percent (for this situation 18%) by 100%.So, the conversational term "18%" gets 18%/100% = 0.18 regarding a genuine numerical number.
Second, you have to discover what 18% of your $81.50 feast cost is.This is constantly done by duplicating 0.18 by $81.50, or
0.18 x $81.50=$14.69.
Thus, the measure of tip you will leave is $14.69.
This makes the absolute expense of your supper (to compose on your charge slip or other installment)