Based only on the given information, it is guaranteed that LN I MO.
L
Given: ALON
LM: NM
LO = NO
MO #MO
M
0
N

Answers

Answer 1

Answer:

true

Step-by-step explanation:

We are given that sides LM and NM, LO and NO, MO and MO are congruent. Since this describes 3 sides of the triangle, you can say ΔMNO is congruent to ΔMLO. From this, you can say ∠OMN is congruent to ∠OML. The two angles (∠OMN and ∠OML) form a straight line, meaning they add up to 180 degrees. We can write:

∠OMN + ∠OML = 180

And since ∠OMN = ∠OML, we can substitute and solve:

∠OMN + ∠OMN = 180

2∠OMN = 180

∠OML =∠OMN = 90

Since both these angles are 90 degrees, LN is perpendicular to MO by definition.


Related Questions

Help!!

I think I got these wrong, so please help!! Thank you!

Answers

Answer:

(x+3)(x+4)(x-4)

x+2 and x-3 are not factors but x-4 is

Step-by-step explanation:

let's factor it :)

x^3 + 3x^2 - 16x -48

first we will factor this:

x^3 + 3x^2

x^2(x + 3)

then factor the second part :

- 16x - 48

-16(x + 3)

so now,

x^2(x + 3) - 16(x + 3)

factor out x+3

(x+3)(x^2 - 16)

factor x^2 - 16

(x+3)(x+4)(x-4)

Find the value of each variable.

Answers

Solution
Z= 143
X= 90
Y= 90

Step-by-step explanation:

180 - 37 = x angles on a straight line

x = 40

180 - 40 = y angles on a straight line

y = 140

180 - 140 = z angles om a straight line

z = 40

Estimate the product of 32 and 19 ?

Answers

Answer:

608

Step-by-step explanation:

32 x 19

= 32 x ( 10 + 9 )

= 320 + 288

= 608

The vertices of the polygon are A (3,5), B (6,5), C (6, 9), and D (3,9). Find the distance between the vertices B and C.

Answers

Answer:

4

Step-by-step explanation:

B = (6,5)              C = (6,9)

√(x2 - x1)² + (y2 - y1)²

(6 - 6)² + (9 - 5)²

√(0)² + (4)²

√16

= 4

Simplify 3x+2x
BRAINLIEST

Answers

Answer:

5x

Step-by-step explanation:

3x+2x

Combine like terms

x(3+2)

x(5)

5x

Answer:

5x

Step-by-step explanation:

3x + 2x

Step 1 :- Calculate like terms by adding their coefficient.

( 2 + 3 ) x

Step 2 :- Combine like terms.

( 5 ) x

Step 3 :- Multiply ; 5 times x.

5x

HELP ASAP Simplify the following polynomial expression. The polynomial simplifies to an expression that is a ____ _______ with a degree of ___.

Answers

Answer:

The polynomial simplifies to an expression that is a  

quadratic  trinomial  with a degree of  2 .

Step-by-step explanation:

trial and error

Answer:

Have a great rest of your day :)

Step-by-step explanation:

keep the body and soul together .....what figure of speech is contained in the sentence

Answers

Answer:

The expression "Keep body and soul together" is an idiom, a well-known phrase or collection of words that together mean something distinctly.

How does the formula for the sample mean differ from the formula for population mean? Multiple choice question. To calculate the sample mean, you divide by the sample number plus one. The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size). For sample mean, the sum of values is divided by the number of values minus one.

Answers

Answer:

The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size).

Step-by-step explanation:

The sample mean is the average value for a set of observations which is derived from a population. While the population mean is the average value for the entire set of observation belonging to a particular study of interest.

The set of observation belonging to a population is denoted by 'N' ; while the sample size is denoted as 'n' :

The mean formula is written thus :

Population mean = Σx / N

Sample mean = Σx / n

Where, x = set of values.

Find the height in centimeters of a square pyramid with a volume of 72cm^ 3 and a base edge length equal to the height

Answers

Answer:

The height of the pyramid is 6 cm.

Step-by-step explanation:

The volume of a square pyramid is given by:

[tex] V = \frac{1}{3}A_{b}h = 72 cm^{3} [/tex]

Where:

[tex]A_{b}[/tex]: is the area of the base

h: is the height

Since the base edge length is equal to the height, the area of the base is:

[tex]A_{b} = l^{2} = h^{2} [/tex]

Hence, the height is:

[tex] 72 cm^{3} = \frac{1}{3}A_{b}h = \frac{1}{3}h^{2}h [/tex]

[tex] h = (3*72 cm^{3})^{1/3} = 6 cm [/tex]

Therefore, the height of the pyramid is 6 cm.

I hope it helps you!          

2. Jessica is applying for a new job as a cosmetologist. Job A offers $40,000 starting salary with at $1000 raise
each year . Job B offers $35,000 starting salary with a 8% raise each year. If Jessica is looking to stay at this
position for over 10+ years, which job should she pick?

Answers

Answer:

Job B

Step-by-step explanation:

If we calculate her salary after 10 years

For job A:

it would be 40,000+10,000=$50,000

For job B:

it would be $75,562.3749

Assume that abc = pqr. Which of the following congruence statements are correct? Check all that apply

Answers

Answer:

A and E are correct congruence statements.

Answer:

A E

Step-by-step explanation:

find the measure of x . Answer me please

Answers

Answer:

40

Step-by-step explanation:

The sum of measure of exterior angles is equal to 360

5x-20+2x+5+x+15+x = 360 add like terms

9x = 360 divide both sides by 9

x = 40

What happens when the weather gets colder?

A.The air pressure will decrease slowly.
B. The air pressure will rise.
C.The air pressure will decrease quickly.
D. The air pressure will not change.

Answers

Step-by-step explanation:

B. The air pressure will rise.

hope this helps you

have a nice day

Answer:

B

Step-by-step explanation:

Please if someone can help me

Answers

[tex]\huge\underline\gray{✏ANSWER}[/tex]

[tex] \frac{6}{7} [/tex]

I hope it helps!

#BrainliestBunch

Cuánto dinero me gasto en colocarle baldosas a una sala comedor que tiene 9.30 de largo por 4.20 metros de ancho

Answers

La pregunta está incompleta ya que no se da el costo de la colocación de baldosas por m².

Suponga que el costo de los mosaicos por m² = c

Respuesta:

39.06c

Explicación paso a paso:

El costo del embaldosado será:

El costo por m² * área total a embaldosar

Dado que :

La dimensión de la habitación a embaldosar es:

Longitud = 9,30 metros

Ancho = 4.20 metros

El área total de la habitación a embaldosar es = Largo * ancho

Área total de la habitación a embaldosar = 9,30 m * 4,20 m

Superficie total de la habitación a embaldosar = 39,06 m²

Si el costo del mosaico por m² = c

El costo de embaldosar la habitación será:

39,06 * c = 39,06c

50 Points:
What are the coordinates of the point that is
2/3 of the way from A to B?
Point A: -4,-1
Point B: 5,5

A. 1,2
B. 0,5/3
C. 2,3
D. -1,1

Answers

Answer:

(-2,3)

Step-by-step explanation:

For the point to be 2/3 of the way; it means it divides AB into the ratio 2 to 1

Now, we can use the internal section formula to get the coordinates of this point

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

where (m,n) = (2,1)

(x1,y1) = (-4,-1)

(x2,y2) = (5,5)

(x,y) = (1(-4) + 2(-1)/(1+2), (1(-1)+2(5)/(1+2)

(x,y) = (-4-2)/3, (-1 + 10)/3

(x,y) = (-2,3)


At the movie theatre, child admission is $5.20 and adult admission is $9.00. On Monday, 156 tickets were sold for a total sales of $1065.80. How many adult
tickets were sold that day?

Answers

Answer:

67 adult  tickets were sold that day

Step-by-step explanation:

x= Number of adults that day, y=Number of children that day

ATQ, x+y=156 and 5.2*x+9*y=1065.8. Solving it, we will get x=89 and y=67

How do we find an equation of a linear function by giving two
points

Answers

Answer:

the right side of the image is truncated,

but "A" seems to be the answer....

take (2,3) and (3,4)

#1) y2-y2/x2-x1 ... 4-3/3-2 = 1 ... slope = 1

#2 ) y = 1x + b

#3 plug in (2,3) ... 3 = 1(2) + b ... B=1

#4 Y= 1 x + 1

Step-by-step explanation:

Help anyone.!!!!!!!!

Answers

Answer:

2/5 is the answer man ooooo

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

So when you have a negative exponent, it means reciprocal.

[tex]5^{-2}[/tex] will now be [tex]\frac{1}{5^2}[/tex]

Now find the squared 5. 5 * 5 is 25.

So, your answer is 1/25

Hope this helps !!

-Ketifa

Arnold makes a chart to summarize what happens when light interacts with matter and is reflected. Which idea does Arnold need to correct? In specular reflection, reflected rays move in the same direction. In scattering, light strikes particles in the atmosphere. In diffuse reflection, reflected rays move in different directions. In scattering, long wavelengths are scattered the most.

Answers

Answer:

In diffuse reflection, reflected rays move in different directions.

Step-by-step explanation:

Reflection refers to the bouncing off of light from a surface. Reflection can be regular or diffuse.

Regular reflection occurs when light bounces off a well polished surface while diffuse reflection occurs when light bounces off a rough surface.

During diffuse reflection, light is reflected in different directions.

Answer:

In scattering, long wavelengths are scattered the most.

Step-by-step explanation: took the test for Edg 21

Which segment is the hypotenuse?​

Answers

Answer:

SU

Step-by-step explanation:

The hypotenuse is opposite the right angle

The hypotenuse is US  or SU

We have to pick,

The segment which is hypotenuse,

Hypotenuse will be the opposite segment of the right angle.

Now it will be,

→ SU (or) US

Hence, SU is the hypotenuse.

sunayana borrowed a sum of Rs 25000 at 12 %p.a simple interest for 1 years 6 months and lent to bishwant at the same rate of compound interest compounded half-yearly for the same interval of time . How much profit did she make​

Answers

Answer: Rs 275.40

Step-by-step explanation:

Since Sunayana borrowed a sum of Rs 25000 at 12 %p.a simple interest for 1 years 6 months, the total amount that she's expected to pay will be calculated thus:

First, well calculate the interest. This will be:

= PRT/100

= (25000 × 12 × 1.5 / 100)

= 4500

Total amount to be paid back will be:

= Rs 25000 + Rs 4500

= Rs 29500

Since she lent the money to Bishwant, the total amount that Bishwant will pay will be:

A = P(1 + r)^t

where,

A = Final Amount

P= Principal = 25000

r= Rate of interest =

t= Time = 3 cycles

Since it's compounded half yearly, then 1½ywars will be = 1½ × 2 = 3 cycles

The rate will be = 12%/2 = 6% yearly.

We'll then slot the values into the question and this will be:

A = P(1 + r)^t

A = 25000(1 + 0.06)³

A = 25000(1.06)³

A = 25000 × 1.191016

A = 29775.4

Therefore, Bishwant is expected to pay Rs 29775.4

Then the profit that Sunayana is expected to make will be:

= Rs 29775.4 - Rs 29500

= Rs 275.40

ASAppppppppppppppppppppppppppppppppppp

Answers

Answer:

3/8

Step-by-step explanation:

that is the answer

I solved it using a calculator

please give me brainliest

the answer is 3/8 because im right

PLEASE PLEASE PLEASE HELP. I WILL BE SO SO SO HAPPY!! WILL GOVE BRANLIEST! AND FOREVER BE SO HAPPY! POINTS!

Answers

Answer:

a

Step-by-step explanation:

follows geometric sequence. starting value is 1/3 and is multiplied by 1/3 every time

the Length , breadth and thickness of a brick are 18 cm 8 cm and 5 cm respectively find its area of the largest face and volume​

Answers

Step-by-step explanation:

vol: 18* 8* 5 cm³

720 cm³

hope this help

Rewrite the expression in the picture in the form z^n.

Answers

Step-by-step explanation:

here's the answer to your question

Answer:

z^ 1/3

Step-by-step explanation:

sqrt( z / z^ 1/3)

We know a^b / a^c  =a^( b-c)

sqrt ( z^(1-1/3))

sqrt( z^ 2/3)

Rewriting sqrt as ^ 1/2

z^ (2/3) ^ 1/2

We know a^b^c = a^(b*c)

z^(2/3 * 1/2)

z^1/3

Question 2

Find HY if YL = 9 .

Answers

Answer:

HY = 18

Step-by-step explanation:

The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , so

HY = 2 YL = 2 × 9 = 18

What are the final coordinates for the figure?

Answers

Answer:

2

Step-by-step explanation:

Reflection over y axis rule

(x,y) --------> (-x,y)

Rule explained:

Simply change the sign of the x value and keep the y value as it it

Coordinates of A (-4,0)

Apply reflection over y axis rule

(-4,0) -----> (4,0)

Next we want to apply a translation with the rule ( x - 5 , y + 2 )

Explanation of rule:

Simply subtract 5 from the x value and add 2 to the y value

Current coordinates of A (4,0)

Apply translation rule

(4,0) -------> ( 4 - 5 , 0 + 2 ) --------> (-1 , 2 )

The y value of coordinate A would be 2 after all of the transformations

Find the value of x for which ABCD must be a parallelogram

a. 7
b. 2
c. 1
d. 4

Answers

Step-by-step explanation:

x+3=2x-1

x-2x=-1-3

-x=-4

x=4

The answer is 4 because a parallelogram have 4 slanted sides in different sizes

A triangle and a parallelogram have the same base and the same area.
If the sides of the triangle are 26 cm, 28 cm and 30 cm and the
parallelogram stands on the base 28 cm. Find the height of the
parallelogram.

Answers

Answer:

12 centimeters

Step-by-step explanation:

The side lengths of the triangle are: 26, 28, and 30 centimeters

a = 26 cm, b = 28 cm, c = 30 cm

To find the area, we first must find the semi-perimeter with the following equation:

s = (a+b+c)/2

  = (28+26+30)/2

  = 42 centimeters

Now, to find the area, we can use Heron's formula:

A = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]

     [tex]\sqrt{42(42-28)(42-26)(42-30)[/tex]

     [tex]\sqrt{42(14)(16)(12)}[/tex]

     [tex]\sqrt{112896}[/tex]

     336 squared centimeters

Since the area of the parallelogram is equal to the area of our triangle:

Area of Parallelogram = Area of Triangle

base ⋅ height = 336 squared centimeters

28 ⋅ height = 336 squared centimeters

height = 336/28

height = 12 centimeters

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