Assume that triangle GHI is congruent to LMN. Which of the following congruence statement are correct? check all that apply

Answers

Answer 1

If two triangles are congruent, then they have equal corresponding angles and also the sides.
Therefore, if GHI is congruent to LMN, then GH =LM, HI=MN and GI=LN, and also angle G=angle L, Angle H=angle M, while angle I = angle N, therefore the correct answers is a) ∠M= ∠H, c) ∠L=∠G. and e)IH=NM.

Answer 2

Final answer:

The congruence statements that are correct for the given scenario are △GHI ≅ △LMN, △IHG ≅ △NML, and △GIH ≅ △NML.

Explanation:

The correct congruence statements for the given scenario are:

△GHI ≅ △LMN (by definition of congruence)△IHG ≅ △NML (by symmetry of congruence)△GIH ≅ △NML (by transitive property of congruence)

These congruence statements indicate that the corresponding sides and angles of the triangles are equal, leading to overall congruence.

Learn more about Triangle Congruence here:

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Related Questions

Perform the indicated operation.
(w 3 + 64) ÷ (4 + w)

w² - 4w - 16
w² + 4w - 16
w² - 4w + 16

THE ANSWER IS:
w^2 - 4w + 16

The reason I included the correct answer in the question is that this question was not yet asked and I felt that some people might need to know this. Feel free to answer the question and get the points! :)

Answers

w^2 - 4w + 16

Thanks for the points :)

w^2 - 4w + 16

tytytytytyty

Which measure describes how all of the values of a data set vary with a single number?
A) mean
B) median
C) mode
D) range

Answers

B) median

hope this helps<3

Answer:

The answer is d. range.

What is the value of x? Enter your answer in the box. x = . Triangle G E H with segment E D such that D is on segment G H, between G and H. Angle G E D is congruent to angle D E H. E G equals 99.2 feet, G D equals 62 feet, D H equals left parenthesis x plus 2 right parenthesis feet, and E H equals 112 feet.

Answers

Corresponding sides on either side of ED are proprotional, so
.. (x+2)/112 = 62/99.2
.. x +2 = 112*62/99.2 = 70

x = 68 . . . . feet

Answer:

The value of x is 68 ft.

Step-by-step explanation:

Given information: [tex]\angle GED\cong \angle DEH[/tex]

Bisector of an angle of a triangle theorem states that an angle bisector of a triangle divides the opposite side into segments that are proportional to the adjacent sides.

In triangle FEH, ED is an angle bisector

[tex]\frac{EH}{EG}=\frac{DH}{GD}[/tex]

[tex]\frac{112}{99.2}\times 62=x+2[/tex]

[tex]70=x+2[/tex]

[tex]70-2=x[/tex]

[tex]68=x[/tex]

Therefore the value of x is 68 ft.

Need help with this too, all connected

Answers

#5 C. 5/12

#6 B. 6:2

#7 C. 25%

#8 If the veterinarian treats 50 dogs in a week, they would treat 10 reptiles in the same amount of time.

Factor completely. a2+3a−28 Enter your answer in the box.

Answers

By a2, I assume you mean a squared. If so, then the answer is (x+7)*(x-4).

Jackson currently has $35 in his bank account , he is saving $15 a week to eventually buy a new cell phone. He can represent the amount in his account with the equation y=15x+35.
I also need help answer the other questions to

Answers

X represents the number of weeks he has been saving Y is the total money in his account the slope is $15 and the Y intercept is $35 for the the starting balance in his account

Answer:

1. We have our function y = 15x + 35

a) Where the x represents the numbers of weeks since each week he is saving $15, which is the independent variable.

b) Where the y represents the total money he has, which is the dependent variable.

c) the slope is 15, as x increments, the slope goes up by 15.

d) The y-intercept is 35, because when x = 0, y = 35.

2. To create the table you have to find the value of y, knowing the values of x.

Using our function, when x = 0

y = 15(0) + 35

y = 0 + 35

y = 35

Using our function, when x = 1

y = 15(1) + 35

y = 15 + 35

y = 50

Using our function, when x = 2

y = 15(2) + 35

y = 30 + 35

y = 65

Using our function, when x = 3

y = 15(3) + 35

y = 45 + 35

y = 80

Using our function, when x = 4

y = 15(4) + 35

y = 60 + 35

y = 95

Using our function, when x = 5

y = 15(5) + 35

y = 75 + 35

y = 110

Yes, the table is proportional, because for each week, the value of his money is increasing by 15.

3. To create the graph, you can put the values of the table into the graph

And the graph is not proportional because to be proportional the relationship between “x” and “y” should be constant, meaning that, if “x” changes, “y” changes by the same percentage.

In this case our function has an intercept of 35 meaning that at week 0, he has $35 saved,

after a week: $50,

after two weeks: $65,

So, although is linear, is not proportional because when you double the weeks saved, you don't double the money saved.

A woman walks 100 yards east along a straight shoreline and then swims 30 yards south into the ocean on a line that is perpendicular to the shoreline. Using her starting point as the pole and the east direction as the polar axis, give her current position polar coordinates. Round the coordinates to the nearest hundredth. Express θ in degrees. (11.40, –88.28°) (104.40, –88.28°) (11.40, –16.70°) (104.40, –16.70°)

Answers

Using trigonometric ratio tangent
Tan θ = 30/100
θ = 16.70, but since it is in an anticlockwise direction it will be -16.7
using Pythagoras theorem
a²+b²=c²
thus, c²=100²+30²
c = √(100²+30²)
= 104.40.
Therefore,the current position coordinates will be
(104.40, -16.70°)

PLS PLS PLS help I am rly confused

Answers

jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Imari went on a hike and recorded the number of each type of bird he saw. The circle graph shows the results of his count. Imari saw 42 sparrows. How many birds did he count in all? Enter your answer in the box. A pie chart depicting a count for bird species. Cardinals are at 13 percent, Sparrows are at 35 percent, Chickadees are at 23 percent, Blue Jays are at 8 percent, Woodpeckers are at 4 percent, and Robins are at 17 percent.Imari went on a hike and recorded the number of each type of bird he saw. The circle graph shows the results of his count. Imari saw 42 sparrows. How many birds did he count in all?

Answers

the answer is 120 for sure

Answer: 120

Hope This Helps ^_^

how do you solve FOIL problems for algebra 1

Answers

FOIL= first, outside, inside, last

These refer to the position of terms in the parentheses and the order they are multiplied.

Example:
(x+1)(x+2)
multiply first positions (far left)
(x*x)
then multiply the two outside
(x*2)
multiply inside terms
(1*x)
multiply last terms (far right)
(1*2)

Solution to example:
(x+1)(x+2)
(x*x)+(2*x)+(1*x)+(1*2)
combine terms
x^2+3x+2

Hope this helps! :)

Simplify Expression-
11. (n^4)^8
13. (q^10)^10
15. (x^3)^-5
17. (z^8)^0z^5
19. (c^3)^5(d^3)^0
@Phebe
Last one i promise lol

Answers

In all these expressions you have a power of a power.
You can solve them simply multiplying the exponents.
Remember that any quantity raised to the zero is equal to 1.
.
11) (n^4)^8 = n^(4×8) = n^32

13) (q^10)^10 = q^(10×10) = q^100

15) (x^3)^-5 = x^[3×(-5)] = x^(-15)

17) (z^8)^0z^5 = z^(8×0) z^5 = z^0 z^5 = 1×z^5 = z^5

19) (c^3)^5(d^3)^0 = c^(3×5) d^(3×0) = c^15 d^0 = c^15×1 = c^15

:)If Dani has 5,054 of a certain item and she needs to collect 6,000 of it, how much more does she need to reach her goal? :) Just for fun lol

Answers

Take 6,000-5,054= 946

6,000-5,054=946......

In oder to join a yoga club there is a $100 annual fee and a $5 fee for each class ytouattend. Write an equation in slope-intercept form that models this situation.

Answers

y=5x+100
___
5 being the daily fee, and x being each day you attend. Multiply these.

A rectangle has a a perimeter of 72 ft. The length and width are scaled by a factor 3.5.

What is the perimeter of the resulting rectangle?

Enter your answer in the box.

Answers

Formula for perimeter of rectangle:
P=2(L+w)
P=2L+2w
Here Perimeter, p= 72 ft
And scale factor of length and width=3.5 which means rectangle is enlarged.
So perimeter of rectangle= 3.5 x 72
P=252ft

Answer: 252 ft

We know the perimeter of the original rectangle is 72ft.
We also know that the perimeter P of the rectangle is defined as:
P=2L+2W.
So P is directly proportional to L+W. This means that if L or W were to get bigger, P will get bigger, and if L or W were to get smaller P will get smaller.

The question also states that both L and W are scaled by the same factor of 3.5 .
This means the sum of the dimensions L+W is scaled by 3.5
It also means that the perimeter is upscaled by 3.5 as it is proportional to L+W.
P = 72 ft × 3.5 = 252 ft.

252 ft is the answer.

Which is a possible number of distinct real roots for a cubic function? Select all that apply.
0
1
2
3
4

Answers

3

I don't know how to explain, but 3

Answer: The answer is 1 and 3.

Step-by-step explanation: We are to select the correct options about the number of real roots of a cubic function.

We know that there are three roots of a cubic function, out of which one must be real because the least number of real roots of an odd degree function is 1.

Also, if the second root is real, then the third one must also be real because the complex roots of a function occur in pairs.

Therefore, there is one real root or three real roots for a cubic function.

Thus, the answer is 1 and 3.

Write -3r+3u in polar form PLEASE HELP

Answers

we have that
-3r+3u

Step 1
Use the distance formula to find the radius
r = √(x^2 + y^2)
(x,y)----------> (-3,3)
r= √(-3^2 + 3^2)=√18=3√2

Step 2
Use the tangent to find the angle
θ = arctan(y/x)
θ = arcTan(3/-3)= -45°-------> II Quadrant
then
θ=180-45=135°

Step 3
write in polar form
(x,y)------------> (r, θ)
so
(-3,3)----------> (3√2, 135°)

the answer is (3√2, 135°)

Genghis Motors wants to build cars and motorbikes on a budget. The company plans to spend at most $75000 and use at least 320 workers to build cars and motorbikes.
8000C+5500M≤75000 represents the number of cars C and motorbikes M the company can build by spending at most $75000.
52C+38M≥320 represents the number of cars and motorbikes the company can build by using at least 320 workers.
Can the company meet both of its expectations by building 4 cars and 6 motorbikes?

Answers

Evaluate each of the expressions for the given values of the variables and see if the condition is met.

8000*4 +5500*6 = 65000 ≤ 75000 . . . true

52*4 +38*6 = 436 ≥ 320 . . . . . . . . . . . . . true

Yes, the company can meet both its expectations by building 4 cars and 6 motorbikes.

Of course, another way to work this is to draw the graph and see if the offered point is in the feasible region. It is.

Please help me! I don't know the answer.
Lines L and M are parallel. GEOMETRY

Answers

The angle measure of ∠2 is equal to 38°.

m∠2 = 38°.

What are the corresponding angles?

When two parallel lines are crossed by another line, comparable angles are the angles that are created in matching corners or corresponding corners with the transversal (i.e. the transversal).

Given:

Lines L and M are parallel lines.

And the parallel lines are cut by a traversal line.

From the property of corresponding angles:

The angle measure of ∠2 is equal to 38°.

Therefore, m∠2 = 38°.

To learn more about the corresponding angles;

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Find the surface area of the rectangular solid.

l=16 in, w=13 in, h=15in.

Surface area is in inches and to the 2nd power.

Answers

The surface area is the sum of the areas of each of the 6 rectangular surfaces. There are two surfaces that have the same area, so we can find the areas of the three different rectangles and double that total.
.. A = 2(LW +LH +WH)
.. = 2(LW +H(L +W))
.. = 2((16 in)(13 in) +(15 in)*(16 in +13 in))
.. = 2(208 in^2 +435 in^2)
.. = 1286 in^2

The surface area of the prism is 1286 in^2.

What value of x is in the solution set of –2(3x + 2) > –8x + 6?

Answers

the answer is positive 6

Answer:

The answer is 6

Step-by-step explanation:

I just took the test

Select the problems which show the correct answers. (1.12 x 105) (6.06 x 105) Answer: 6.79 x 1010 (2 x 101)(3.0 x 101) Answer: 6.0 x 101 (2.775 x 10−4) (4.775 x 104) Answer: 1.325 x 100 5 8.14 x 102 Answer: 6.14 x 10−3

Answers

Since multiplication is commutative, we can rearrange the problem:
[tex](1.12*10^5)(6.06*10^5) = (1.12*6.06)(10^5*10^5)[/tex]
Using the properties of exponents, we have:
[tex](1.12*6.06)(10^10) \\=6.7872*10^10[/tex]

Again, multiplication is commutative, so we rearrange the problem; then we use the product property of exponents:
[tex](2*10^1)(3*10^1) \\=(2*3)(10^1*10^1) \\=6*10^2[/tex]

[tex](2.775*10^-^4)(4.775*10^4) \\=(2.775*4.775)(10^-^4*10^4) \\=(2.775*4.775)(10^0) \\=(2.775*4.775)(1) \\=2.775*4.775=13.250625=1.3250625*10^1[/tex]

[tex]5(8.14*10^2)=(5*8.14)(10^2)=40.7*10^2=4.07*10^3[/tex]

Answer:

The answer is A and D,I did this on usatestprep

Step-by-step explanation:

The sum of the square of a positive number and the square of 3 more than the number is 45. what is the number?

Answers

x= a number

sum= add
more than= add
is= equal sign
square of= multiply the # by itself

x^2 + (x+3)^2= 45
x^2 + (x+3)(x+3)= 45

x^2 + x^2 + 3x + 3x + 9 = 45
combine like terms

2x^2 + 6x + 9= 45
subtract 9 from both sides

2x^2 + 6x= 36
reduce by dividing everything by 2

x^2 + 3x= 18
subtract 18 from both sides

x^2 + 3x - 18= 0
factor
(x+6)(x-3)= 0

x+6= 0
x= -6

x-3=0
x= 3

The question asks for the POSITIVE integer, so...

ANSWER: x= 3

Hope this helped! :)

The positive integer is [tex]3[/tex]

Let the number be [tex]a[/tex]

square of [tex]a = a^{2}[/tex]

Square of [tex]3[/tex] more than [tex]a[/tex] = [tex](3+a)^{2}[/tex]

[tex](3 + a)^{2} = (3+a)(3+a) = 9 + 3a + 3a + a^{2} = a^{2} + 6a + 9[/tex]

[tex]a^{2} + a^{2} + 9a + 9 = 45[/tex]

[tex]2a^{2} + 6a + 9 = 45[/tex]

Subtract 9 from both sides :

[tex]2a^{2} + 6a = 45 - 9[/tex]

[tex]2a^{2} + 6a = 36[/tex]

Divide through by 2

[tex]a^{2} + 3a = 18\\a^{2} + 3a - 18 = 0[/tex]

Factorize :

[tex]a^{2} + 6a - 3a - 18 = 0\\a(a + 6) - 3(a + 6) = 0\\a + 6 = 0\\or\\a - 3 = 0[/tex]

[tex]a = 3 ;\\or\\a = - 6[/tex]

since, a is a positive integer, then [tex]a = 3[/tex]

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Help please got to finish khan academy I’m really confused

Answers

= 64^(t^3)*64^(-t/2)
= 64^(t^3)*(64^(-1/2))^t . . . . change the sum of exponents to a product
= 64^(t^3)*(1/√64)^t . . . . . . negative exponent signifies inverse, 1/2 power is sqrt
= 64^(t^3)/8^t . . . . . . . . . . . simplify
= (4^3)^(t^3)/8^t . . . . . . . . . .replace 64 with 4^3
= 4^(3t^3)/8^t . . . . matches the first selection only

What Is 7 minutes after 1? And what is 23 minutes after 4?

Answers

1:07 and 4:23 if it is time you are asking about... If it's not time then I am not quite sure of what you are asking.

Answer: 7 minutes after 1 is 1:07 and 23 minutes after 4 is 4:23

Step-by-step explanation: Please mark me brainliest ✨

Good luck on whatever you’re working on!

Elevii clasei a IV-a se informeaza despre preturile unor obiecte:3 aparate foto de acelasi fel si un laptop costa 2700lei,iar 5 aparate foto si 2 laptopuri,de acelasi fel ca primele costa,4900lei.Cat costa un aparat foto?Dar un laptop?Prin metoda compaatiei va rog !!!!!!! URGENT !!!!!!

Answers

Laptops are 1200 each and cameras are 500 each.

Using elimination:
3c+l=2700
5c+2l=4900

We will make the coefficients of l the same by multiplying the top equation by 2:
2(3c+l=2700)
6c+2l=5400

Our system is now
6c+2l=5400
5c+2l=4900

Subtract the bottom equation:
6c+2l=5400
-(5c+2l=4900)

We have
1c=500
So each camera is 500.

Substitute that in our original first equation:
3(500)+l=2700
1500+l=2700
1500+l-1500=2700-1500
l=1200

WILL GIVE BRAINLIEST!!! 12 POINTS!!!!!!

The table below represents the height of a shot basketball, f(x), based on its horizontal position in relation to the basket, x.

x f(x)
-24 7
-20 12
-16 15
-12 16
-8 15
-4 12
0 7

If all quantities are in feet, what is the height of the basketball as it passes the hoop?

Answer: _____ feet

Answers

Answer: " 7 (seven) " [feet] .
_________________________________________________
Note: This is the value of "f(x)" when "x = 0" .
_________________________________________________

Compare the domains of the logarithmic function f(x) and the square root function g(x).
Graph of f(x):
https://homelifetn.ignitiaschools.com/media/g_alg02_ccss_2016/9/al2_9_20a_media02.gif
https://homelifetn.ignitiaschools.com/media/g_alg02_ccss_2016/9/img_alg02u09c03q25d_02.gif
In two or more complete sentences, explain whether or not the domains of the two functions are the same.

Answers

We have that the logarithmic function has a domain from 0 (without including 0) to plus infinity. That is because of the property that e=2.71 raised to any power is positive. We also have that the square root function is defined only from 0 to plus infinity, since every square of a number is positve or 0. The answer is that the domains differ; they are almost equal, except for the fact that the domain of the square root function additionally contains 0.

banananana help me i need you

Answers

The first question should be a Pentagon as it has 5 sides, but it should also be a regular shape.
Pentagon; Regular
----------------------------
The second question shows something that obviously is not a square nor rectangle, so by process of elimination Parallelogram is your answer.
Parallelogram

Answer:

Banananana. How do you know that person?

Step-by-step explanation:

Will mark brainiest

My teacher says everything is there to answer this question but I don't know. Someone please explain.

Two travellers spend from 12 o'clock to 6 o'clock walking along a level road, up a hill and back again. Their pace is 4 mph on the level, 3 mph uphill, and 6 mph downhill.

How far do they walk and at what time do they reach the top of the hill?

Answers

12 oclock to 6 oclock is 6 hours

d = distance
r = rate of speed

time to walk uphill : t1 = d/3
time to walk downhill: t2 = d/6
total distance = 2d ( up hill and down ill)
2d = (d/3 + d/6)r
2/(1/3 +1/6) = r
r = 4
average speed up and down the hill was 4 mph

total distance = (2/3 x 6 x 4) + (1/3 x 6 x 4)
total distance = 16 + 8 = 24 miles total

Average speed to top of hill = 2/(1/4 +1/3) = 3.43 mph

to top of hill = 24/2 = 12 miles

12 / 3.43 = 3.5 hours
12 oclock + 3.5 hours = 3:30

total miles was 24
arrived at top of hill at 3:30

ime to walk uphill : t1 = d/3
time to walk downhill: t2 = d/6
total distance = 2d ( up hill and down ill)
2d = (d/3 + d/6)r
2/(1/3 +1/6) = r
r = 4
average speed up and down the hill was 4 mph

total distance = (2/3 x 6 x 4) + (1/3 x 6 x 4)
total distance = 16 + 8 = 24 miles total

Average speed to top of hill = 2/(1/4 +1/3) = 3.43 mph

to top of hill = 24/2 = 12 miles

12 / 3.43 = 3.5 hours
12 oclock + 3.5 hours = 3:30

total miles was 24
arrived at top of hill at 3:30

5.11 find the probability of a couple having a baby girl when their third child is born, given that the first two children were both girls. assume boys and girls are equally likely. is the result the same as the probability of getting all girls among three children?

Answers

The chance of having a girl is 50%. Having two other girls doesn't change the odds. However, having three girls in a row is a 12.5% chance.

Other Questions

please translate 2 minus the product of a number and 9 is 20. Which increased the importance of footsoldiers in the Hundred Years War?the ability of feudal castles to withstand firepowerthe development of the longbow and cannonthe success of Joan of Arcs battle strategiesthe lack of horses for armored knights A researcher is concerned that gender may affect how subjects respond to an experimental stimulus. so subjects are paired with another subject who has the same gender, and one member from each pair is assigned by a flip of a coin to the experimental group and one to the control group. this method of assigning subjects to groups is called Describe the number and type of roots for the polynomial (how many real and complex?). x3 + 5x2 4x 2 = 0 A client presents to the emergency department with chest pain. on a scale of 1:10 he rates the pain as a 6. his respiratory rate is 22. his blood pressure is 156/92. his heart rate is 110. he is afebrile. what other information should the nurse obtain before administering nitroglycerin? Which of the following statements most accurately describes the black Codes? many conquerors try to spread their culture to the newly conquered lands, and this is an example of: A. Culture B. Custom C. habit D. ethnocentrism 3.1 Q15An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 70, it's height, f(x), in feet, can be modeled by:[tex]f(x)=-0.06x^2 + 2.7x + 5.9[/tex]where x is the shot's horizontal distance, in feet, from its point of release.What is the maximum height of the shot and how far from it's point of release does this occur? Which of the following statements is an accurate comparison of ancient government and our modern government? Both governments valued citizen involvement in the political process. Ancient Rome was a republic, while the United States is not. Ancient and modern governments have been unsuccessful. The U.S. allows citizens to vote, the ancients did not permit citizens vote. Questions a and b. Electron pair geometry around the sb atom atom in sbf3 Explain how you know that 21/30 is greater than 2/3? Why is sunlight considered a renewable resource? Quality services is an organization that operates several companies that market food products, restaurant equipment, and paper and plastic products, and it even has a division that counsels restaurant owners, helping them launch new restaurants successfully. quality services is pursuing a _____ strategy. In the results of the experiment in "the lowest animal," the cat does not deliberately terrify the mouse. it does not know the mouse is suffering. true or false How to estimate the square root of a number that is not a perfect square? During the French Revolution, many people became more secular, meaning they most likely placed less importance on religion. were less inclined to support the concept of equal rights. were supporters of the king and the aristocracy. became either Catholic or Protestant. Sam Houston and Thomas J. Rusk served as the first two senators of Texas following the states annexation in 1846. Houston tells Rusk, "Ive been in this place before." In what capacity did Houston previously deal with Washington?Question 1 options:Friend of Andrew JacksonSecond Lieutenant in the U.S. ArmyU.S. Representative from TennesseePresident of the Republic of TexasAll of the Above This type of animal lays eggs with leathery shells, therefore it is a Determine the unknown side length of the golden rectangle with the given side length. s = ____ l = 9 a. 5.56 c. 4.94 b. 4.85 Josh wanted to buy a bike but didn't have enough money. Sam Slick said, "I can fix that. Each time you jump that fence, i'll triple your money. There's one small thing though. Each time I pay, you must give me $54 back for the priviledge of jumping." Josh agreed, jumped the fence, received his payment from sam slick, and paid sam $54. Repeating the routine 1 more time, josh was distressed to find that after sam had made his payment to josh, josh had only $54 with which to pay sam and so had nothing left. Sam, of course, went merrily on his way, leaving josh wishing that he had known a little more about mathematics.