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

Point O Is A Centroid Of The Triangle LMN. If OM=38 Cm, What Is MP?a.) 114 Cmb.) 19 Cmc.) 57 Cmd.) 25.5

Answers

Answer 1

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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

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

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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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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.

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

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

Slope intercept form Y=4x+48

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.

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

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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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

Examples of abiotic factors are water, air, soil, sunlight, and minerals. Biotic factors are living or once-living organisms in the ecosystem. These are obtained from the biosphere and are capable of reproduction. Examples of biotic factors are animals, birds, plants, fungi, and other similar organisms.

I need help with number 13.. no idea how to solve it.

Answers

Answer:

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 :)

The answer is x= -2 and y= -4 have a nice day:)

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)

Solve the equation.

x/-4-5=4

Answers

Answer:

x = -36

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

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

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

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

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:

Does anyone have the answer to this? Please and ty lol

Answers

it will be 0,7 and 1,9

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 :)

Y=-6 that the awnser

I need help. i’m failing geometry

Answers

4x +7 =12x-1
-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

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.

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

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)

Solve the answer
6p - 1 - 4p = 15?

Answers

Answer:

it would equal 2p-1 as a mathematical equation

Step-by-step explanation:

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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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:

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:

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