Point O is a centroid of the triangle LMN. If OM=38 cm, what is MP?
a.) 114 cm
b.) 19 cm
c.) 57 cm
d.) 25.5 cm
Answers
9514 1404 393
Answer:
c.) 57 cm
Step-by-step explanation:
The centroid divides the median into parts with a 2:1 ratio.
OM : OP = 2 : 1
OM : MP = 2 : (2+1) = 2 : 3
As a fraction with MP on top, this is ...
MP/OM = 3/2
MP = (3/2)OM = 3/2×(38 cm)
MP = 57 cm
__
Comment on the answer choices
Often, you can eliminate a number of the choices in a multiple-choice question just by testing whether they are reasonable. Here, the longer part of a line segment has length 38, so the whole segment will not be shorter than that. The choices 19 and 25.5 make no sense.
The remaining choices are 114 cm and 57 cm. The former is 3 times the length of the given segment, which the drawing tells us is unreasonable.
The only reasonable choice offered is 57 cm.
Related Questions
Solve the answer
6p - 1 - 4p = 15?
Answers
Answer:
it would equal 2p-1 as a mathematical equation
Step-by-step explanation:
What is 'twelve and forty-eight thousandths” in
decimal form?
Answers
Answer:
0.1248
Step-by-step explanation:
I think this is right
hope this helps :)
Mrs. Butler worked on school things Monday afternoon. She spent a total of five hours on school. She graded 236 assignments and created Tuesday's lessons. It took her one hour and twenty minutes to make the lessons. How much time did each assignment take to be graded?
Answers
Answer:
1 minute and 4 seconds
Step-by-step explanation:
5 hours - 1hour 20mins = 3hours 40 mins
3 hours 40 mins = 220 minutes
236 / 220 = 1.07272... x0.6 x 100 = 64.36... seconds
1 minute and 4 seconds
5 chocolate bars cost £3.80
How much do 7 chocolate bars cost?
Answers
Step-by-step explanation:
divide 5 by 3.80 and then the multiply the answer by 7
Answer:
7 chocolate bars=£5.32
Step-by-step explanation:
3.80÷5=0.76(one chocolate bar)
0.76×7=5.32(7 bars)
What is the y-intercept of the line 3x – 4y = 24?
(-6, 0)
(0, -6)
(8, 0)
(0, 8)
Answers
Answer:
(0, -6)
Step-by-step explanation:
To find the y-intercept(s), substitute in 0 for x and solve for y.
3 × 0 - 4y = 24
y = -6
good luck, hope this helps :)
What is the volume of the cone below?
Answers
Answer:
yo try D
Step-by-step explanation:
im pretty sure bc 6 turns to 12 so 22 times 12
Does anyone have the answer to this? Please and ty lol
Answers
Write the following equation in slope-intercept form: y-8= 4(x+10)
Answers
Answer:
y = 4x + 48
Step-by-step explanation:
Slope intercept form: y = mx + b
y - 8 = 4x + 40
y = 4x + 48
I need help with number 13.. no idea how to solve it.
Answers
Answer:
Step-by-step explanation:
Please simplify I need the extra credit all answers get brainiest.
Answers
Answer:
3/10a^15b^7c^4
Step-by-step explanation:
sorry its kinna hard to explain
The coordinates of the vertices of △GHI are G(−7,2), H(−2,2), and I(−2,8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.
GH = 5, HI = 6, GI ≈ 8.81
m∠G = 90°, m∠H ≈ 50°, m∠I ≈ 40°
GH = 6, HI = 5, GI ≈ 7.81
m∠H = 90°, m∠G ≈ 40°, m∠I ≈ 50°
GH = 5, HI = 6, GI ≈ 7.81
m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°
GH = 6, HI = 5, GI ≈ 8.81
m∠G = 90°, m∠H ≈ 40°, m∠I ≈ 50°
Answers
Answer:
GH = 5, HI = 6, GI ≈ 7.81
m∠H = 90°, m∠G ≈ 50°, m∠I ≈ 40°
Step-by-step explanation:
Evaluate 5(x + 2) - 12 + 3 for x = 1
answers:
26
1
0
11
Answers
Answer:
Step-by-step explanation:
Putting value of x = 1
5(x + 2) - 12 + 3
5((1) + 2) - 9
5(3) - 9
15 - 9
6
Write an equation for the line shown in the graph.
A. 10=4x
B. y=2x+10
C. y=10x-2
D. y= -x+10
Answers
Answer:
D
Step-by-step explanation:
The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the equation, the y-intercept is 10. Then the equation is given as,
y = mx + 10
From the graph, the line is passing through (2, 8). Then the slope is given as,
8 = m(2) + 10
8 = 2m + 10
- 2 = 2m
m = - 1
The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.
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pls help with number 3
Answers
Answer:
3<n+5
Step-by-step explanation:
...................
Answer:
n+5-3
Step-by-step explanation:
"Less then" means subtraction and it is less than a number (marked as "n" in this example) plus 5 (+5). If you translate this into an equation, you would get n+5-3.
If £25 = 750 rubles, how many £ are in 780 rubles?
Answers
Answer:
26
Step-by-step explanation:
25/750=0.033333
0.033333x780=26
Consider the equation 4•e^2.7x = 33
Solve the equation for x. Express the solution as a logarithm in base-e.
x ≈
Approximate the value of x. Round your answer to the nearest thousandth.
x≈
Answers
Answer:
[tex] \huge x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ \huge \: x \approx 0.782[/tex]
Step-by-step explanation:
to understand thisyou need to know about:logarithmPEMDASlet's solve:[tex]4 {e}^{2.7x} = 33 \\ {e}^{2.7x} = \frac{33}{4} \\ 2.7x = ln( \frac{33}{4} ) \\ x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ x \approx 0.782[/tex]
An equation is formed of two equal expressions. The value of x is 0.7815.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation 4•e^2.7x = 33 can be solved for x as,
[tex]4\cdot e^{2.7x }= 33\\\\ e^{2.7x }= \dfrac{33}{4}\\\\\text{Taking anti-log}\\\\2.7x = ln\frac{33}{4}\\\\x = ln(\dfrac{33}{4}) \times \dfrac{1}{2.7}\\\\x=0.7815[/tex]
Hence, the value of x is 0.7815.
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Marques earned a grade of 54% on his multiple choice math final that had a total of 200 problems. How many problems on the final exam did Marques answer correctly?
Answers
Answer:
108
Step-by-step explanation:
List down 3 biotic and 3
abiotic components of
ecosystem mentioned in
the video clip. From the
given examples, how do
they affect other
organisms in the
community in this time of
pandemic?
Answers
Help plzzzzzzzzzzzzzzz
Answers
Answer:
3.843
Step-by-step explanation:
(3x1)= 1
(8x1/10= 0.8
(4x1/100)=0.04
(3x1/1000)=0.003
Then, add together to get 3.843.
Factor out the greatest common factor of Given the expression: 4x^10 − 64x^2
Answers
Part A
4x10 – 64x2
= 4x2 * x8 – 4x2 * 16
= 4x2 * (x8 – 16) by distributive property
Part B
x8 is (x4)2 and 16 = 42 so a difference of squares is seen in the parentheses. The pattern a2 – b2 = (a + b)(a – b) can be used.
4x2 * (x8 – 16)
= 4x2 * (x4 + 4) * (x4 – 4)
x4 = (x2)2 and 4 = 22 so there is another difference of squares in the last factor. Use the pattern again.
= 4x2 * (x4 + 4) * (x2 + 2) * (x2 – 2)
Answer:
Below.
Step-by-step explanation:
The GCF = 4x^2
So its 4x^2(x^8 - 16)
This can be further factored
= 4x^2(x^4 - 4)(x^4 + 4)
= 4x^2(x^2 - 2)(x^2 + 2)(x^4 + 4)
PLEASE HELP!!
if y(x) = 5x-2 and g(x) = 2x + 1, find (f + g)(x).
Answers
Answer:
(f + g)(x) = 7x - 1
Step-by-step explanation:
Given : f(x) = 5x – 2 and g(x) = 2x + 1
We have to find (f + g)(x)
Consider (f + g)(x) = f(x) + g(x)
Also, given f(x) = 5x – 2 and g(x) = 2x + 1
Substitute, we have,
f(x) + g(x) = 5x - 2 + 2x + 1
LIKE TERMS are terms having same variable with same degree.
Simplify by adding like terms, we have,
f(x) + g(x) = 5x + 2x - 2 + 1
f(x) + g(x) = 7x - 1
Thus, (f + g)(x) = 7x - 1
solve the equation -30p-2=58 for p.
Answers
Answer:
p=-2
Step-by-step explanation:
1.Combine like terms on both sides.
2.Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only.
3.Add 11 to both sides of the equation.
4.Finally, divide both sides by −10 to get the solution.
I need help. i’m failing geometry
Answers
-7 from both sides
4x=12x-8
-12x from both sides
-8x=-8
x=1
for y
y+1=3y-11
-1 from both sides
y=3y-12
-3y from both sides
-2y=-12
y=6
Answer:
x = 1 and y = 6
Step-by-step explanation:
so the opposite sides are equal to each other, therefore
4x + 7 = 12x - 1
and y + 1 = 3y - 11
so for the xs
start by adding 1 to each side
4x + 8 = 12x
subtract 4x from both sides
8=8x
divide by 8
x=1
for the ys
subtract one from each side
y= 3y -12
subract 3y from each side
-2y=-12
divide by -2
y=6
Which statement is true about the angle bisector AD of AABC?
Answers
Answer:
I installed
Step-by-step explanation:
Mo po ang photo lath promised masasa gutan mo po yan sana ma brainlest po ako salamat❤️❤️❤️❤️
The statement true about the angle bisector AD of triangle ABC is; AD is a perpendicular bisector of BC.
What are angle bisectors?Angle bisectors are lines that bisect the considered angle. Bisect refers to splitting into two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.
When an angle bisector points so, the two sides of the corner are equidistant. Its corner bisector of a triangle angle is a straight line splitting its angle into two congruent directions.
In such a single point, calling its incentives, which follow three-angle engineers are required of its three triangle angles.
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PLEASE HELP! I WILL AWARD BRAINLIEST
Sherbrooke, Quebec Is 210 miles from Boston, MA. A train leaves Boston at noon and arrives in Sherbrooke at 4:40 PM. On the return to Boston, the train travels 50.4 mph. How many times (or less is the train's speed on the return trip to Boston than the trip to Sherbrooke?
Answers
Answer:
Both trains will meet 120 miles away from Boston
Answer:
Both trains will meet 120 miles away from Boston!!!
Step-by-step explanation:
trust me on this i honestly dont know how to explain this
Solve the equation.
x/-4-5=4
Answers
Answer:
x = -36
Step-by-step explanation:
Answer:
Step-by-step explanation:
Daom its been so long since ive been on here i was just zoning out and thinkin... why havent they made a dark mode to this smh i be on discord to much my eyes have adjusted...
Answers
Answer:
why you not on discord?
Step-by-step explanation:
-9x = 10 - 2y
-48 = 4x+10y
Answers
Answer:
x=−2 and y=−4
Step-by-step explanation:
I will solve your system by substitution.
(Add -4x to both sides)
(Add 48 to both sides)
(Divide both sides by -4)
(Simplify both sides of the equation)
(Add 2y to both sides)
(Add -108 to both sides)
(Divide both sides by 49/2)
(Simplify both sides of the equation)
Answer:
x=−2 and y=−4
I hope this helps :)
A car dealership pays $8,550 for a car. They markup the price by 20.4% to get the retail price. What is the retail price of the car at this dealership? *
Answers
Answer:
$9802.90
Step-by-step explanation:
$9802.90
Step-by-step explanation:
17.4% = 0.174
So retail price = 8,350 + 8,350 * 0.174
= $9802.90
8.
Look at this figure.
It has one triangle and one rectangle. True or false?
True
False
Checkin
skip
Answers
Answer:
true
Step-by-step explanation:
the triangle is on top of the rectangle
Answer:
ture because it has one of each
Step-by-step explanation:
so like that