The medians of ADEF are DK, EL, and FJ. They meet at a single point M.
(In other words, M is the centroid of ADEF.)
Suppose ML = 9, MJ=8, and DK = 24.
Find the following lengths.
Note that the figure is not drawn to scale.
Answer:
FJ = 24
DM = 16
EM = 18
Step-by-step explanation:
I remember that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side. Therefore the median is split into two parts where one side is always twice as long as the other. So given that segment ML is 8, the other part of the segment (DM) must be 16 as 16 is 2/3 of 24 and 8 is 1/3 of 24 and 1/3 + 2/3 = 1.
Therefore, since MJ is 8, FM must be twice as long so it is 16. Add them up to get FJ, and 8 + 16 is 24.
Finally for EM, since the longer part of the median is twice the length of the smaller part EM must be 18 since 9 × 2 = 18, and 2/3 of 18 is 27, 9 + 18 = 27.
9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?
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[tex]f(x) = 5x - 4[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(2a) = 5(2a) - 4[/tex]
[tex]f(2a) = 10a - 4[/tex]
[tex]156 = 10a - 4[/tex]
[tex]10a - 4 = 156[/tex]
Add sides 4
[tex]10a - 4 + 4 = 156 + 4[/tex]
[tex]10a = 160[/tex]
Divide sides by 10
[tex] \frac{10a}{10} = \frac{160}{10} \\ [/tex]
[tex]a = 16[/tex]
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HELP PLS BRAINLIEST FOR CORRECT ANSWER
Answer:
83
Step-by-step explanation:
Answer:
x = 59
y = 83
Step-by-step explanation:
First, you need to solve for y in order to solve for x. Using the Triangle Sum Theorem, you will find that y is 83 degrees.
Now, using the Vertical Angles Theorem, you can figure out the third angle of the triangle in which x is, 83.
Using the Triangle Sum Theorem again, you will find that x is 59.
who walks at a faster rate: someone who walks 60ft in 10sec or someone who walks 42ft in 6sec
Answer:
42 ft in 6 seconds
Step-by-step explanation:
The person whom walks a greater distance in lees time is faster
Determine the slope of the line that passes through the points M(-3,5) and N(1,8). Represent the slope in decimal form.
Answer:
0.75
Step-by-step explanation:
y²-y¹/x²-x¹
8-5/1-(-3)
3/4
=0.75
1o Divide
$ 20,000 in the ratio 3:2
Answer:
30,000
Step-by-step explanation:
3/2 multiplied by 20k is
3 x 20000 over 2
which is 60000 over 2
which is 30000
plzzzzzz help me Find the slope when given the following points. 2) (2, 1) and (5, 3)
Answer:
2/3
Step-by-step explanation:
3-1/5-2=
2/3
Consider the line 4x+2y=-7.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
To find slop from the given equation,
Slope (m) =
[tex] \frac{ - \: cofficients \: of \: x }{cofficient \: of \: y} [/tex]
So, slope of this equation is - 2
For perpendicular case,
M1 . M2 = - 1
Thus, m2 = 2 ( for this equation)
Similarly,
For parallel case,
M1 = m2
Thus, m2 = - 2 ( for this equation)
Keep asking sir/maamIf the point (2,3) lies on the line 4y = ax +5 , then a -
(a) 7/2
(b) 1
(o) -2
(d) none of these
Answer:
B
Step-by-step explanation:
» Which expression shows 35 + 15 written as a product of two factors?
Answer:
[tex]35 + 15 = 5 * 10[/tex]
The factors are 5 and 10
Step-by-step explanation:
Given
[tex]35 + 15[/tex]
Required
Express as a product of two factors
[tex]35 + 15[/tex]
Start by factorizing the expression:
[tex]5(7 + 3)[/tex]
Add the expression in the bracket
[tex]5(10)[/tex]
Replace bracket with *
[tex]5 * 10[/tex]
Hence:
[tex]35 + 15 = 5 * 10[/tex]
The expression which shows 35 + 15 written as a product of two factors is 5(7 + 3).
What is meant by expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.
Let the expression be 35 + 15
Express as a product of two factors
35 + 15
Factorizing the expression we get
5(7 + 3)
simplifying the above expression, we get
5 (10)
Hence:
35 + 15 = 5 × 10
Therefore, the correct answer is option b) 5(7 + 3).
The complete question is:
Which expression shows 35 + 15 written as a product of two factors?
a) 5(6 + 3)
b) 5(7 + 3)
c) 7(5 + 2)
d) 7(5 + 3)
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If △EFG ≅ △HJK, complete each part.
Answer:
[tex] \overline{EG} \cong \overline{HK} [/tex]
[tex] \overline{HJ} \cong \overline{EF} [/tex]
[tex] \angle F \cong \angle J [/tex]
[tex] \angle H \cong \angle E [/tex]
∆FGE ≅ ∆JKH
Step-by-step explanation:
Since ∆EFG ≅ ∆HJK, therefore, the corresponding sides and angles of both ∆s are congruent.
Thus:
[tex] \overline{EG} \cong \overline{HK} [/tex]
[tex] \overline{HJ} \cong \overline{EF} [/tex]
[tex] \angle F \cong \angle J [/tex]
[tex] \angle H \cong \angle E [/tex]
∆FGE ≅ ∆JKH (take note of the arrangement of the letters or naming of each vertex of both triangles. Each vertex of in one ∆ must correspond to the vertex of the other for the ∆s to be congruent)
△EFG ≅ △HJK,
From the figure attached we can conclude that
[tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]
[tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]
∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]
∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]
△FGE ≅ △JKH
Given that
△EFG ≅ △HJK,
Since △EFG ≅ △HJK is given hence we can conclude that corresponding sides and corresponding angles of both the triangles will be equal.
Two triangles are said to be congruent when they are of similar shape and size means all the angles of one triangle are equal to the corresponding angles of other triangle and all the sides of one triangle are equal to corresponding sides of other triangle.
From the figure attached we can conclude that
[tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]
[tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]
∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]
∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]
△FGE ≅ △JKH
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Helpp me pls for this one
Answer:
5
Step-by-step explanation:
Can someone help me with this math problem
Answer:
$14.00 per pound for A and $12.50 per pound for B and B is offering the better one since it has a lower cost per pound
Step-by-step explanation:
Answer:
Brand A is $14
Brand B is $12.5
Brand B is offering the better value. I know this because when you get the unit rate for Brand A it is $14. When you get the unit rate for Brand B you get $12.5. So You pay less money for Brand B then Brand A.
Step-by-step explanation:
For brand A you need to first divide 70 by 5 which equals to 14
Then you divide 105 by 12 which equals 12.5
The Last problem i gave to you in the answer box.
Hopefully you understood everything.
Have a good day
I need help plz someone help me
Answer:
broooooooooooo how do you not know that not trying to be rude but anyways the answer is number 3
6
Estimate each percent.
70% of 103
(1 Point)
Enter your answer
Will make Brainlylist
Answer:72.1
103*.7=72.1
I hope this is good enough:
Anyone know how to do this? pls explain how
no clue what to do lol
Answer:
Thanks for the free points
Answer:
So, the answer for b is 20.
The way to figure this out is:
angle N is congruent to angle S
angle M is congruent to angle M
side NM is 10
because of the three things above, triangle NHM is congruent to triangle SML because of SAS(side angle side postulate)
Hope that helps! Let me know if it does! ;P
-5x - 5y = 10 ???
6x + 3y = -30 ????
4x + y = -2 ??
x + y = 1 ???
what is X and Y !!
Simplify this expression.
20.25 − 912 + 11
Answer:
20.25-923
Step-by-step explanation:
20.25-923
912+11=923
HELP !
CLICK ON THE PHOTO FOR THE QUESTION. ALOT OF POINTS GIVEN.
Answer: Does this help?↓↓↓
Step-by-step explanation:
That for every 5 gallons of water 1.5 pounds of salt is needed to meet...
If Mis a centroid of triangle WOR and WM = 16, what is WX?
8
24
10
32
Answer:
WX = 24
Step-by-step explanation:
Centroid of a triangle divides the medians of the triangle in the ratio 2 : 1
Therefore,
WM/ MX = 2/1
16/MX = 2/1
2MX = 16
MX = 16/2
MX = 8
WX = WM + MX
WX = 16 + 8
WX = 24
The value of the side WX is equal to 24. The correct option is B.
What is the centroid of the triangle?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.
A line connecting a side's midpoint and the triangle's opposite vertex is called the median. Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
The centroid of a triangle divides the medians of the triangle in the ratio of 2: 1.
Here, the ratio of the two sides will be given as:-
WM/ MX = 2/1
Calculate the value of MX to get the value of WX.
16/MX = 2/1
2MX = 16
MX = 16/2
MX = 8
The value of WX will be:-
WX = WM + MX
WX = 16 + 8
WX = 24
Therefore, the value of the side WX is equal to 24.
To know more about triangles follow
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Brainlest to whoever can tell me what pi stands for
Hi!
Pi: The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.
Hope this Helps!
Yours Truly,
~~~PicklePoppers~~~Can ya help me
PLEASE EXPLAIN
Answer: D
Step-by-step explanation:
The point in the grid if you divide by 2 will give you the prime points. Also it flips over the y axis.
5. Which line appears to have an x-intercept of -5 and a y-intercept of 3?
Answer:
I need a picture but if you count 3 up and and left 5 whichever line hits both of those points is the answer
if any of you guys know someone named shurmpy or molly plz tell me they real good freinds to me
Answer:
ok
Step-by-step explanation:
what is the slope of (12,22) (-20,19)
Answer:
3/32
Step-by-step explanation:
The slope is found by
m = ( y2-y1)/(x2-x1)
= ( 19-22)/(-20-12)
= -3/-32
= 3/32
For f(x) = 3x2 - 2, find F(x) =
f(x)dx
Answer: below
Step-by-step explanation: Given f(x) =kxn where k is a constant, then f'(x) = nkx(n - 1)
Can you apply this principle to this problem, Let me know if you have any further questions about this problem. Thanks.
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What quadrant does -495 lie in?
Last year, Keith opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?
Answer:
You would multiply $8200 by .075, giving you 615. Then to find the decrease. Take the starting value (8200) by the end value (615). and you would get 7,585.
PLEASE HELP LINEAR EQUATIONS!!
3(2x-5)=-15
Answer:
x=0
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
3(2x−5)=−15
Step 1: Simplify both sides of the equation.
3(2x−5)=−15
(3)(2x)+(3)(−5)=−15(Distribute)
6x+−15=−15
6x−15=−15
Step 2: Add 15 to both sides.
6x−15+15=−15+15
6x=0
Step 3: Divide both sides by 6.
6x/6 = 0/6
x=0
Hope this helps :)
Answer:
2x-5= -3x times(x) 3 is -9
Step-by-step explanation:
PEMDAS