Complete the following proof. Prove: In an isosceles triangle, two medians are equal.
Answers
Answer:
Midpoint of AB = (0 + 2a / 2 , 0 + 0 / 2) = (2a / 2 , 0 / 2) = (a,0)
x coordinate of point c = a
N = (0 + a / 2 , 0 + b / 2) = (a / 2 , b / 2)
M = ( 2a + a / 2 , 0 + b / 2) = (3a / 2 , b / 2)
MA = √(3a / 2 - 0)² + b / 2 - 0)²
= √(3a / 2 )² + (b / 2) = 9a² / 4 + b² / 4
NB = √(a / 2 - 2a)² + (b / 2 - 0 )²
= √( a / 2 - 4a / 2)² + (b / 2 - 0)²
= √(-3a / 2)² + (b / 2)² = √9a² / 4 + b² / 4
Step-by-step explanation:
I tried my best hope its correct :0
Related Questions
Ms. Hernandez takes 56 students to the museum. Some of the students travel in a van and some travel on a bus. Going to the museum, the ratio of students in the van to students on the bus is 2 : 5 Going back to school, 2 students move from the van to the bus.
Answers
Answer:
I think we are missing part of the question.
But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.
On the way home, it was 14 students in the van and 42 students in the bus, the ratio changes to 1:3
At the local farmers market, it costs $10 to rent a stand and $7 for every hour you stay. If you pay a total of $38, how many hours did you stay at the farmers market? *
Answers
Step by step:
$38 - 10 = 28
28/7 = 4
Answer:
Hello! your answer would be, 4 HOURS
Step-by-step explanation:
38 - 10 = 28
28 / 7 = 4
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
Calculate the size of the exterior angles of a regular polygon which has interior angles of:175⁰
Answers
Answer: 5
Step-by-step explanation: 180-175=5
Find the value of x in the triangle shown below.
56°
31
x
Answers
All angles in a triangle equal 180...56+31=87
180-87=93
Stacy started with 40 dollars in a savings account that earns 5% annually. How much interest will she get in one year
Answers
Answer:
2 dollars
Step-by-step explanation:
5% interest is 1.05
1.05 times 40 equals 42
42-40 equal 2
So 2 dollars
A circular plate has circumference 33.3 inches. What is the area of this plate? PLZ HELP
Answers
Answer:
870.48
Step-by-step explanation:
Answer:
870.92
Step-by-step explanation:
You mix 1/2 cup of red paint for every 1/4 cup of blue paint to make 12 cups of
purple paint. How much red paint and
blue paint do you use?
Answers
explanation
to pour one cup of blue paint, two cups of red paint has to be poured.
since when you add both those it adds to 3
so multiply each by 4 to get 4 cups of blue paint and 8 cups of red paint
Two baseball teams meet in a playoff series at the end of the regular season. Team A won 55 of 81 games played in its home stadium during the regular season, while Team B won 48 of 81 games played in its home stadium. The first two games of the series will be played in Team A's home stadium, the next two games in Team B's home stadium. In the absence of any other information, which expression is equal to the probability that Team A will win the first four games in a row?
Answers
Answer:
Assuming the statistics are independent of the visiting team, then probability of team A winning in home turf is P(A)=55/81, and winning as a visitor of team B is P(B)=(81-48)/81=33/81.
So winning all four games,
P = P(A)*P(A)*P(B)*P(B)
2.
Total volume = 9³ cm³ = 729 cm³.
Side of each of 3 new cubes
= cube root of (729 cm³ /3) cm
= cube root of (243) cm.
3.
Total number of ways to pick 4 balls out of 9
= C(9,4) = 9!/(4!5!)=126
Total number of ways to pick 4 blue balls = C(4,4) = 1
total number of ways to pick 4 red balls
= C(5,4) = 5
Number of ways of not choosing 4 red nor 4 blue = (126 - 1 - 5) = 120
Probability of not choosing 4 balls of the same colour is therefore ...?
what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answers
Answer:
A
Step-by-step explanation:
What is the range of the graph and please answer fast
Answers
Can someone plz help me
Answers
Answer:
X=37.6 because the 90 degree angle plus the 52.4 equals 142.4 the subtract that from 180 then ta da.
please help ASAP will give brainleast to correct answer plus thank you!
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. 0.8(9+w)
Step-by-step explanation:
By combining like terms you will get an equation of 7.2 + 0.8w. I noticed this could be simplified further by grouping and got answer B.
Factor completely 2x^3 + 6x^2 + 10x + 30
Answers
Answer:
The factored expression is 2(x² + 5)(x + 3).
Step-by-step explanation:
Hey there!
We can use a factoring technique referred to as "grouping" to solve this problem.
Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.
Grouping works in the following matter:
Given equation: ax³ + bx² + cx + dGroup a & b, c & d: (ax³ + bx²) + (cx + d)Pull GCFs and factorsLet's apply these steps to the given equation.
Given equation: 2x³ + 6x² + 10x + 30Group a & b, c & d: (2x³ + 6x²) + (10x + 30)Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.
Now, we use our GCFs to create another factor.
List GCFs: 2x², 10Create a term: (2x² + 10)Finally, we'll need to simplify this one by taking another GCF, 2.
Pull GCF: 2(x² + 5)Now that we have this term, we need to understand that this could also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.
Therefore, we have our final factors: 2(x² + 5) and (x + 3).
However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).
Please help!
Task is simplify expressions.
This is direct image from teacher.
Answers
1.5x2+16x+4
2.2x2-2x-8
A motorist takes 80 minutes to travel 120km. find his speed
Answers
Answer: 90km/hour
Step-by-step explanation:
The formula for speed is given as:
= Distance / Time
where,
Distance = 120km
Time = 80 minutes = 80/60 = 1 1/3 hours
Speed = Distance / Time
= 120 / 1 1/3
= 120 / 4/3
= 120 × 3/4
= 90km/hour
The speed is 90km/hour.
3x + 12 = -3 What is the value of X
Answers
Answer:
x = -5
Step-by-step explanation:
i took algebra a couple years ago :)
Answer:
x=-5
Step-by-step explanation:
3x+12= -3
-12 -12
(subtract 12 from both sides because you want the variable by itself)
3x= -15
(divide by 3 so you can get x completely by itself)
x= -5 (final answer)
How to Subtract this and put in Standard form?
Answers
Answer:
-12a2 + 9a - 5
Step-by-step explanation:
the 2 should be small
Marking brainliest.
Answers
Answer:
B. 173.25 cm^2
Step-by-step explanation:
just multiply them all.
please tell me which ones to select! I can select more than one. Thank you!!!
Answers
Answer: B, D, E
Step-by-step explanation:
Substitute x in each expression, solve, and see if it is equivalent to 3/4. See answer above. Hope this was helpful! :)
multiple choice, need help with this ASAP; I'll give BRANIEST to whoever gets it right and no links
Answers
Answer:
so it should be a,c,e, and b
Step-by-step explanation:
49s square root is 7 and 7 is an integer so check.
7 is a whole number check
7 is rational check
and 7 is a real number check.
Find the area of the region bounded by the graphs of f(x)= x^3 + x^2 -6x and
g(x) = 2x - x^2.
A. (20/3)
B. 36
C.(148/3)
D. (256/3)
Answers
A motorcycle raced around a track at a speed of 110 miles per hour.
If the motorcycle raced for 0.5 hours, how many miles did it travel?
Answers
Which gives u 55
Please help
Nday(t)=300⋅(1.2)t
Complete the following sentence about the weekly rate of change in the locust population.
Round your answer to two decimal places.
Every week, the number of locusts grows by a factor of ______
Answers
Answer:
3.58
Step-by-step explanation:
Pamela is 10 years older than Jiri. The sum of their ages is 54. What is Jiri's age?
Answers
Answer:
22
Step-by-step explanation:
Find the area of the figure shown below and type your result in the empty box.
Answers
Answer:
did u forget to add the actual question
Step-by-step explanation:
Matteo is working two jobs, making $15 per hour at the movie theater and $18 per hour washing cars. Last week Matteo worked a total of 30 hours and earned a total of $480. Determine the amount of hours Matteo worked at the movie theater and the cash wash.
Answers
Answer:
movie theatre = 20 hours
car wash = 10 hours
Step-by-step explanation:
this would be solved using simultaneous equation
let a = hours worked in theatre
b = hours spent wash cars
15a + 18b = 480 eqn 1
a + b = 30 eqn 2
multiply eqn 2 by 15
15a + 15b = 450 eqn 3
subtract 1 from 3
3b = 30
b = 10 hours
substitute for b in eqn 2
a + 10 = 30
a = 20 hours
Is (2,21) a solution for y=7x? No Yes
Answers
Answer:
No
Step-by-step explanation:
y=7x
21=7(2)
21=14
It is not since the values are not equal.
Brainliest? :o
No, the pair of coordinates (2,21) is not a solution for the equation; y=7x
Solution of an equationAccording to the question;
The pair of coordinates given is (2,21).Hence, by testing the coordinates in the equation; y=7x, we have;
21 = 7(2)21 = 14.Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.
Read more on solution of an equation;
https://brainly.com/question/1397278
Given that (-6,-6) is on the graph of f(x), find the corresponding point for the function f(2x).
Answers
Answer: (-3,-6)
Step-by-step explanation:
If θ is an angle in standard position and its terminal side passes through the point (-7,-5), find the exact value of cot θ cotθ in simplest radical form.
Answers
Plot the point (-7, -5). We are in quadrant 3.
We also know that tan θ = opp/adj.
Cot θ = adj/opp.
Let us use a^2 + b^2 = r^2 to show you how to find r, the radius aka hypotenuse.
Look: (-7)^2 + (-5)^2 = r^2
If you should ever need to find r, do this:
(-7)^2 + (-5)^2 = r^2
(49) + 25) = r^2
74 = r^2
Take the square root on both sides of the equation to find r.
sqrt{74} = sqrt{r^2}
sqrt{74} = r
It is ok to simplify the sqrt{74} but not needed.
We now have the three sides of the triangle that is form in quadrant 3.
We can now read cot θ from the triangle itself.
So, cot θ = adj/opp = (-7)/(-5) or 7/5.
No need to find r but I simply wanted to show you how it's done in case you are given a question where r must be found.
Mike took an uber from his home to the airport. The driver charges an initial fee of $6 and $3 per mile. The total fare was $24 not including the tip. How many miles did Mike travel by uber on this ride? *
Answers
Answer:
About 5 miles
Step-by-step explanation:
At first, I thought it would be 6 miles because 6x3 is 18 plus the initial 6 dollars which is 24. However, it says that it does not include the tip, which means that Mike DID tip the driver. So there has to be some space for the tip. If it was 6 miles it would be 24 dollars, but there is no more space for the tip. So it has to be 5 miles, because that will be 21 dollars, and assuming the tip could be about 3 dollars, then that would total up to 24 dollars.