Answer:
n = 108
Step-by-step explanation:
The three medians of a triangle intersect at the same point inside the triangle.
The segment from a vertex to the point in the center is 2 times as long as the
other part of the median line. So OC is 2 times KC.
KC =108
OC = 2(108)
2n + 10 = 216
2n = 206
n = 108
In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .
What is median of a triangle?" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."
Property used
Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.
According to the question,
Given,
In ΔABC,
BL, AM, CK are the medians of a triangle ABC.
'O' represents the Centroid
[tex]KC = 108\\\\OC = 2n +10[/tex]
Ratio of [tex]KC : OC = 3: 2[/tex]
Substitute the value of KC and OC we get,
[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]
Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .
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no need to explain just tell the answer
Answer: z = 18
Step-by-step explanation:
180 = 90 + (3z+4) + (2z-4)
z = 18
find the missing triangle measurements. I WILL GIVE BRAINLIEST! PLEASE
Answer:
ABC= 60
DCE= 65
DEF= 105
Step-by-step explanation:
Answer:
60°; 65°; 115°Step-by-step explanation:
ΔABC is equilateral since all sides marked as congruent. Therefore:
m∠ABC = 60°ΔCDE is isosceles since two sides marked as congruent:
m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°∠DEF forms a linear pair with ∠DEC, so they sum to 180°:
m∠DEF = 180° - 65° = 115°Mindy can a drive a total of 375 miles on a full tank of gas, which is 25 gallons. Based on this information, what is the constant of proportionality?
25
15
375
10
Answer:
15
Step-by-step explanation:
[tex]\frac{25}{375} = \frac{1}{x}[/tex]
Cross multiply to get 25x = 375
Divide each side by 25 to get x = 15
100-3x6+5-4= 63? help me its GEMDAS
Answer:
it's 86
Step-by-step explanation:
100-3x6+5-4
100-15+5-4
85+5-4
90-4
86
Given the complementary angle of y is 43º. Find the supplementary angle of y
Step-by-step explanation:
complementary = adds up to 90 degrees.
supplementary = adds up to 180 degrees.
the complementary angle of y is 43 degrees.
so, y = 90 - 43 = 47 degrees.
the supplementary angle of y = 47 is
180 - 47 = 133 degrees
Hello!
Given the complementary angle of y is 43º.
90 - 43 => 47°
Find the supplementary angle of y
180-43 => 137°
if "-3(y-10=9" what is the value of y-12
Answer:
the correct answer is -5 since y=7
Will mark brainiest if right Is this function linear or nonlinear?
y=3x−5
Answer: This function is linear because it forms a straight line when graphed.
Would appreciate brainly <3
(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answer:
The missing length is 10.44
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 10^2 = c^2
9 + 100 = c^2
109 = c^2
√c^2 = √109
c = √109
c ≈ 10.440307
c ≈ 10.44
Answer:
10.44
Step-by-step explanation:
Pythagorean theorem equation is a²+b²=c²
3²+10²=c²
9+100=c²........simplify
109=c².............add
√109=c
10.44031
10.44................round to the nearest hundredth
Help would be much appreciated! :)
Answer:
[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}[/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
ExpandingAlgebra II
Polynomial Division
Long DivisionSynthetic DivisionStep-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}[/tex]
Step 2: Long Division
See attachment.
Multiply quotient a and divisor, then subtract from dividend: [tex]\displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}[/tex]Multiply quotient b and divisor, then subtract from new dividend: [tex]\displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}[/tex]Multiply quotient c and divisor, then subtract from new dividend: [tex]\displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}[/tex]Write remainder: [tex]\displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}[/tex]Please excuse the bad handwriting.
HELLO PLEASE GIVE ME THE RIGHT ANSWER ASAP THANK YOU !
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\textsf{Given expression;}\\[/tex]
[tex] \rm{23 = \frac{7}{9}(6x - 36) + 9 } \\ [/tex]
[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256)}{9} + 9 \\ [/tex]
[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256 + 81)}{9} \\ [/tex]
[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 175)}{9} \\ [/tex]
[tex] \rm{\longmapsto} \: \frac{23}{1} = \frac{(42x - 175)}{9} \\ [/tex]
[tex]\textsf{By doing cross multiplication, we get}\\[/tex]
[tex] \rm{\longmapsto}23(9) = 1(42x - 175) \\ [/tex]
[tex] \rm{\longmapsto}207 =42x - 175\\ [/tex]
[tex]\rm{\longmapsto} \: 42x = - 175 - 207 \\ [/tex]
[tex]\rm{\longmapsto} \: 42x = - 379 \\ [/tex]
[tex]\rm \therefore \: x = - \frac{375}{42} \\ [/tex]
[tex]\textsf{Hence, the value of x will be -375/42 respectively.}\\[/tex]
[tex]\textbf{Read more:}[/tex]
[tex]\textsf{Similar Questions}[/tex]
Solve the expression and find the value of x. [tex] \frac{x…
https://brainly.com/question/25420312
Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
O AAS Congruence Theorem
O HL Congruence Theorem
O SAS Congruence Postulateo
Answer: O AAS Congruence Theorem is your answer
Step-by-step explanation: plz give brainliest
In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number value of N.
Answer: 2584
Step-by-step explanation:
We can find N with 2584 and 4181.
4181 - 2584
= 1597
We can also check our answer by adding 1597 and 987
1597 + 987
= 2584
A sequence can be arithmetic, geometric or neither.
The value of N is 1597
The partial sequence is given as:
.... 987, N, 2584, 4181......
From the question, the current term is the sum of two previous terms.
This means that:
[tex]\mathbf{987 + N = 2584}[/tex] and
[tex]\mathbf{N + 2584 = 4181}[/tex]
Make N the subject in both equations
[tex]\mathbf{N = 2584 - 987}[/tex]
and
[tex]\mathbf{N = 4181 - 2584 }[/tex]
So, we have:
[tex]\mathbf{N = 1597}[/tex]
and
[tex]\mathbf{N = 1597}[/tex]
Hence, the value of N is 1597
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spilled $40 into the ratio of 3:7
Answer:
$12/$28
Step-by-step explanation:
Let x and y represent the two amounts of money adding up to $40.
Assume that x is the smaller amount. Then:
x 3
----- = ----- Remembering that x + y = $40, we get x = $40 - y
y 7
amd sp we have
$40 - y 3
-------------- = ------ which, after cross-multiplication, is $280 - $7y = 3y
y 7
Simplifying this, we get $280 = 10 y, so that y must be $28. If y = $28, x must be $40 - $28, or $12.
$12
Then $40, split in the ratio 3/7, is the ratio ----------------
$28
Check: Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.
What are the solutions of y=x^2+5x-7
Answer:
You have two variables, and only one condition. It means you have infinite solutions of the form [tex](t; t^2+5t-7)[/tex]. Technically correct, probably not what you want to know.
If you wanted to know if and where the RHS crosses the x axis, the points are the solution to
[tex]x^2+5x-7= 0 \rightarrow x=\frac12(-5\pm\sqrt{25+28})\\x_1= \frac12(\sqrt{53}-5); x_2=-\frac12(\sqrt{53}+5)[/tex]
If you wanted the graph it's a parabola passing through the two points we just found, (0;-7), and with an axis of equation [tex]x=-\frac52[/tex].
g
Pat a
mber
4. In a hockey league, 87 players play on seven
different teams. Each team has at least 12
players. What is the maximum number of players
on any one team?
Answer:
15
Step-by-step explanation:
since there is 7 teams and 12 can be the minimum we can do 7 x 12=84
this means that 3 people could possibly be on one single team.
the maximum number is 12+3=15
Somebody please help
Answer:
c/ y=20x
Step-by-step explanation:
If a triangle has a base of 6 feet and a height of 5 feet, what is the area?
Answer:
15 square feet
Step-by-step explanation:
a = (1/2)bh
a = (1/2) * 6 * 5
a = 3 * 5
a = 15
15 square feet
4d=12 solve for the variable
How to do the 9 multiplication trick.
Answer:
0123456789
9876543210
Step-by-step explanation:
09
18
27
36
45
54
63
72
81
90
Answer:
Step-by-step explanation:
for each 9 you add, take away 1 from the first number and add 10, like
81
72
63
52
41
32
23
18
9
Find the slope for the table.
Answer:
2
Step-by-step explanation:
as x increases by 2, y increases by 4, slope= rise/run, so the slope= 4/2=2
How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18
The number of rows that would be returned from the cross join of tables A and B is 144 rows.
The cross join of table A and table B is the cartesian product of A and B.
Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.
So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.
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solve |8y+4|=2|y-1|
please show the work!
how many solutions does  3x+9=25x+14 have?
Answer:
one solution
Step-by-step explanation:
3x + 9 = 25x + 14
-3x -3x
9 = 22x + 14
-14 - 14
-5 = 22x
2x-4>-14 or 2x-4\leq10
Answer:
x>0
Step-by-step explanation:
2x−4>−142x−4
Multiplica −14 y 2 para obtener −28.
2x−4>−28x−4
Agrega 28x a ambos lados.
2x−4+28x>−4
Combina 2x y 28x para obtener 30x.
30x−4>−4
Agrega 4 a ambos lados.
30x>−4+4
Suma −4 y 4 para obtener 0.
30x>0
El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.
x>0
14. At a local fruit stand, Luisa spends $5.25 for 2 pounds of strawberries. At this rate, how much can she expect to pay for 3.5 pounds of strawberries? (round to the nearest hundredt
h) Proportion Answer
. A triangle has an angle that measures 85°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?
AND EXPLAIN THE STEPS
Answer:
Smaller angle : 30 degrees
Bigger Angle : 65 degrees
Step-by-step explanation:
85+6x+13x=180, 85+19x=180,19x=95,x=5
Smaller angle : 30
Bigger Angle : 65
plz help me fast Simplify t12/t6
Answer:
t^6
Step-by-step explanation:
when dividing exponents, you subtract (refer to exponent rule)
t^12 - t^6 = t^6
What is the area of this tile?
Answer:
Area: 9 in.²
Step-by-step explanation:
Area of square: side²
=> Area of Square tile: 3²
=> 9 in.²
Hoped this helped.
Answer:
9
Step-by-step explanation:
To find the area of a square, multiply both sides.
3*3=9
0.125 ultiply by 1000
Answer:
125 is answer .........:)
Which circle has a radius that measures 10 units?
10
D
20
F
10
OG
20
Option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Radius of a circle is the distance from the center of the circle to any point on it's circumference.
The distance across a circle through the centre is called the diameter.
Diameter = 2 × radius
In the given figures, option B has a diameter of 20
so radius = diameter /2
=20/2
=10 units
Hence, option B is correct, the circle with center F and diameter 20 units is the circle which has a radius of 10 units.
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