Are the two triangles similar? How do you know? Explain your reasoning thoroughly.

Are The Two Triangles Similar? How Do You Know? Explain Your Reasoning Thoroughly.

Answers

Answer 1

Answer:

Yes, the triangles are similar ([tex]\triangle HMG \sim \triangle KMJ[/tex]).

Step-by-step explanation:

We're given that the two triangles share at least one angle, angles H and K. The two angles in the triangles at point M, [tex]\angle HMG[/tex] and [tex]\angle KMJ[/tex] are vertical angles, meaning they are on opposite sides of a point of intersection between two lines. Since vertical angles are always equal, these two angles are also equal.

If two triangles share two angles, they must share all three, because all triangles have a total sum of interior angles of 180 degrees. Therefore, the triangles share all 3 angles. AAA (Angle-Angle-Angle) is a proof of similarity, where two triangles share all three of their angles. Thus, the two triangles are similar.

Similarity statement (vertices should correspond):

[tex]\triangle HMG \sim \triangle KMJ[/tex]

Answer 2
Yes the triangle are similar

Related Questions

you how many miles are there in 86.88 km 1.6 km equals to 1 miles or conversion ​

Answers

86.88 kilometers is 53.98 miles

llus
Find the value of x that makes A || B.
2
4
3
5
Z2 = 2x + 10 and 24 = 4x + 80
x = [?]
Enter

Answers

Answer:

Step-by-step explanation:

If A is parallel to B, then angles 2 and 4 are same side interior and they are supplementary. Thus,

2x + 10 + 4x + 80 = 180 and

6x = 90 so

x = 15

An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if it
moves 14 units to the left?
0-26
-2.
02
O 26

Answers

Answer:

The answer would be B

Answer:

-2

Step-by-step explanation:

We know that the object is at 12 on a horizontal line.

The horizontal line of a graph is the x axis, so lets think of 12 as 12x

On a graph, left is negative, and right is postive.

In this case we need to move 14x to the right, or -14x.

We start at 12x, so its going to be:

12x-14x=-2x

So -2 is the postition of the object on the x axis.

This is answer B.

Hope this helps!

What's the domain of the graph?

Answers

Step-by-step explanation:

In interval form, the domain of f is (−∞,∞).

The ice cream cone has a radius of 3 cm and a height of 10 cm. If the scoop of ice cream is a sphere with radius of 3.5 cm, will all of the ice cream fit inside the cone?

Answers

Answer:

No, ice cream cannot fits inside the cone.

Step-by-step explanation:

radius of cone, r = 3 cm

height of cone, h = 10 cm

radius of ice cream sphere, R = 33.5 cm

The volume of the cone is

[tex]V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc[/tex]

Volume of ice cream

[tex]V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc[/tex]

As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.

50 POINTS please help!
quickly

What is the value of sinX?

Answers

Answer letter B. 5 45 / 41

help pleasee i’ll mark you as the brainliest if you answer less than 10 mins

Answers

Answer:

Answer  B: 2

Step-by-step explanation:

You can multiply the numbers of the smaller triangle and determine the answer

What is an equation of the line that passes through the point (-6,5) and is parallel
to the line 2 - 3y = 21?

Answers

Answer:

y=1/3x+7

Step-by-step explanation:

Hi there!

We're given the equation x-3y=21 and we want to find the equation of the line parallel to x-3y=21 that passes through (-6,5)

Parallel lines have the same slopes, but different y intercepts

So we need to find the slope of x-3y=21

To do that, we can convert x-3y=21 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).

We'll need to isolate y onto one side

subtract x from both sides

-3y=-x+21

divide both sides by -3

y=1/3x-7

1/3 is in the place where m is, so 1/3 is the slope of the line

it's also the slope of the line parallel to x-3y=21

here's the equation of the line parallel to x-3y=21 so far:

y=1/3x+b

we need to find b

as the line passes through (-6,5), we can use it to solve for b

substitute -6 as x and 5 as y

5=1/3(-6)+b

multiply

5=-2+b

add 2 to both sides

7=b

Substitute 7 as b into the equation

y=1/3x+7

Hope this helps!

The graph of
y = x3 is transformed as shown in the graph below. Which equation represents the transformed
function?
5
4
3
2
1
3
-1
1
2
5
X
-2
y=x²-4
y =(x-4)

Answers

Y=x^3-2x-2x+1





The x axis at 1

The function f(x) = x³ after translation becomes g(x) = x³ - 4.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the function f(x) = x³ and its transformed graph as shown in the image.

The function f(x) is translated downwards. This is called downward translation. Assume that the function f(x) after the translation becomes g(x). The function f(x) = x³ passes through the origin. After translation, all the {y} - coordinates will be shifted in the downward direction by 4 units. So, we can write the final function as -

g(x) = f(x) - 4

g(x) = x³ - 4

Therefore, the function f(x) = x³ after translation becomes g(x) = x³ - 4.

To solve more questions on functions, visit the link below-

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I will give branliest if it let's me! Please help! I'll give 5 star rating, thanks and 40+ points!

Answers

Answer:

B

Step-by-step explanation:

These are corresponding angles if i remember correctly.

Answer:

Supplementary

Step-by-step explanation:

The angles add up to 180 degrees

Statement #1: A plane is a flat two-dimensional surface that continues in every direction, to infinity. Statement #2: You can name a plane with one letter that is not a point on the plane. Statement #3: You can name a plane with 3 non-collinear points that lie on the plane. Which of these statements are TRUE? Only statement #1 is true Only statements #1 & #2 are true Only statements #1 & #3 are true All 3 statements are true

Answers

Answer:

C. Only statements #1 & #3 are true.

Step-by-step explanation:

A plane is made up of various number of points or line that extend till infinity on a flat surface. It can be named by with 3 non-collinear points that lie on the plane or by a letter in the plane (e.g plane A).

All plane shape are derived by their required dimensions in a plane. So that they can all be expressed on a flat surface i.e in 2 dimensions only.

Thus from the given question, the appropriate option that are statements that defines a plane accurately is C. i.e only statements #1 & #3 are true.

BRAINLIEST FOR THE RIGHT ANSWER! THANKS! Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.

P (0, -4), Q (5, 1)

Answers

Answer:

x-y=4

Step-by-step explanation:

Slope = (1-(-4))/(5-0) = 5/5 = 1

y-intercept,

b=-4-(1)×0=-4

so the equation is,

y=x-4

or, x-y=4

Answered by GAUTHMATH

Figure ABCD is a rhombus.

Rhombus A B C D is shown. Angle A is (5 x + 25) degrees and angle D is (7 x minus 1) degrees.

What is the value of x?

13
14
26
28

Answers

X=13

You can set it up as (5x+25)+(7x-1)=180 or 5x+25=7x-1 and both equal 13

The value of x is 13 in the rhombus ABCD

What is Quadrilateral?

A quadrilateral is a four-sided polygon, having four edges and four corners

In figure ABCD is a rhombus

Given as Angle ∠ A = (5x + 25)

Angle ∠ D = (7x - 1)

Since adjacent angles of a rhombus add up to 180°

(5x + 25) + (7x - 1) = 180 and both equal

So, 5x + 25 = 7x - 1

Rearrange the terms in the equation,

7x - 5x = 1 +25

2x = 26

x = 13

Hence, the value of x is 13 in given figure.

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The picture up above

Answers

Answer:

its being reflected over the y-axis

Step-by-step explanation:

Need help really badly please help .

Answers

Answer:

sin s = 36 / 42 = 18 / 21 = 6/ 7

sin R = 14 / 42 = 7 / 21 = 1 / 3

cos s = 14 / 42 = 1 / 3

cos R = 36 / 42 = 6 / 7

pls help me solve pls show how you got the answer

Answers

Step-by-step explanation:

(-13) + 7 – (-2) + (-6) + ( ) = 0

Let the unknown be "y"

-13 + 7 + 2 - 6 + y = 0

-10 + y = 0

y=10.

The missing Number is 10.

Verify

-13 +7 + 2 -6 + 10 = 0.

Answer:

10

Step-by-step explanation:

Need help on this question asap please

Answers

Answer:

[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]

Step-by-step explanation:

A proportion is setting two ratios to be equal to each other.

You are given the price of 1 ticket, so you can set up a ratio of price to ticket.

$6.25 to 1 ticket, or [tex] \dfrac{6.25}{1} [/tex]

The other ratio involves the $25 and the unknown number of tickets, t, $25 can buy.

$25 to t tickets, or [tex] \dfrac{25}{t} [/tex]

To write a proportion, set the two ratios equal.

[tex] \dfrac{6.25}{1} = \dfrac{25}{t} [/tex]

This proportion does not appear in the choices.

Take the reciprocal of both sides.

[tex]\dfrac{1}{6.25} = \dfrac{t}{25}[/tex]

Noah wants to make the kite shown below out of cloth.He wants to determine how much cloth he needs.What is the area,rounded to the nearest square centimeter,of Noah's kite?

Answers

Answer:

Step-by-step explanation:

Area 32

rounded up 3/16

Noah needs 1063 square centimeters of clothes.

The area of the kite is 1063 square centimeters.

The correct option is B.

What is a kite's shape?

A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.

To find the area of a kite, you need to use the formula:

Area = (diagonal 1 x diagonal 2) / 2

where "diagonal 1" and "diagonal 2" are the lengths of the two diagonals of the kite.

To use this formula, follow these steps:

Here, if "diagonal 1" measures (42.7 + 22.5) cm and "diagonal 2" measures (16.3 + 16.3) cm, the area of the kite would be:

Multiply the length of "diagonal 1" by the length of "diagonal 2".

That means the result is 2125.52

Divide the result by 2.

2125.52/2

= 1062.76

≈ 1063

Therefore, the area of the kite is 1063 square centimeters.

To learn more about the kite's shape;

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The complete question:

Noah wants to make the kite shown below out of cloth.

He wants to determine how much clothes he needs.

What is the area, rounded to the nearest square centimeter, of Noah's kite?

The image of the kite is given below.


A. Y SO
OB. X30
C. All real numbers
D.x20

CAN SOMEBODY PLEASE HELP!!

Answers

May be , C but not sure.

help asap pls ----------------------------------- Also tell me the graph from the second/third photo not the equation

Answers

Answer:

graph "B"

at 0 graph = -1200 that is the production cost

Step-by-step explanation:

Please help I’ll give brainliest

Answers

Answer:

$48

Step-by-step explanation:

$160 * 0.05 = $8

$8 * 6 = $48

Hope this helps

Answer:

48

Step-by-step explanation:

Please Mark me brainlist

if 52% = 2600 what would 100% be

Answers

Answer:

5000

Step-by-step explanation:

[tex] \frac{52}{100} = \frac{2600}{x} \\ x = 5000[/tex]

The answer is 5000. Got it right on the test

HELP PLZ

Does the Graph Represent A Function? Why Or Why Not?

Answers

Answer:

C

Step-by-step explanation:

Answer:

hi its c because its not a traight line

Step-by-step explanation:

Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

Answers

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ([tex]k[/tex]) is described by the following expression:

[tex]k = \frac{y}{x}[/tex] (1)

Where:

[tex]x[/tex] - Input.

[tex]y[/tex] - Output.

If we know that [tex](x_{1}, y_{1}) = (13, 45.5)[/tex], [tex](x_{2}, y_{2}) = (14, 49)[/tex] and [tex](x_{3}, y_{3}) = (15, 52.5)[/tex], then the constants of proportionalities of each ordered pair are, respectively:

[tex]k_{1} = \frac{y_{1}}{x_{1}}[/tex]

[tex]k_{1} = \frac{45.5}{13}[/tex]

[tex]k_{1} = \frac{7}{2}[/tex]

[tex]k_{2} = \frac{y_2}{x_2}[/tex]

[tex]k_{2} = \frac{49}{14}[/tex]

[tex]k_{2} = \frac{7}{2}[/tex]

[tex]k_{3} = \frac{y_{3}}{x_{3}}[/tex]

[tex]k_{3} = \frac{52.5}{15}[/tex]

[tex]k_{3} = \frac{7}{2}[/tex]

Since [tex]k_{1} = k_{2} = k_{3}[/tex], the constant of proportionality is 3.5.

-36y= x^2
does the parabola open:
1. left
2.down
3.up
4.right

Answers

Answer:

3. first make Y the subject, then x^2 will become negative which will make the the parabola open up

Yea thank for the answer

Answers

Answer:

Step-by-step explanation:

Hello!

10*17 = > 170 cm²

(3,14 * 8)/4 =>6,28cm²

170 + 6,28 => 176,28cm²

Answer:

182.56

Step-by-step explanation:

Area of the rectangle = 10 * 17 = 170cm^2

Area of Circle = 8 * 2 * [tex]\pi[/tex] * 1/4

=> 12.56

=> 170 + 12.56

=> 182.56 is the area

Hope it helps :)

the
al speed
the time.
Sundeep travels by train to a meeting in Barcelona.
Barcelona is 270 km from where he lives. He catches the train
at 9:45 a.m. The train travels at an average speed of 120 km/h.
At what time will the train arrive in Barcelona?

Answers

Answer:

Sundeep will arrive in Barcelona at 12pm

Choose the scenario that could be represented by 5/6
A. Five friends share six pizzas equally. B. Six pounds of oats are divided equally among five horses.
C. A six-foot string is cut into five equal pieces.
D. A five-hour bus trip is divided into six equal legs. ​

Answers

Answer:

d. A five-hour bus trip is divided into six equal legs.

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

A - You'd divide the 6 pizzas by 5 friends. 6/5.

B - You're dividing the 6 oats by 5 horses. 6/5.

C - You're dividing the 6-ft string by 5 pieces. 6/5.

D is the only one dividing a whole of 5 into 6 parts.

Which system of equations has one solution?

Answers

The first graph. This is because the one solution is where the two lines will intersect.
In the second graph, the two lines are parallel, so there is no possible way for them to intersect. In the third graph, the two lines are on top of one another, so there’s more than one solution.
Therefore, the first graph is where there is one solution.
The first one for sure

Find the image of NPQ under the translation of (x, y) + (x + 8, y + 1).

АВС

DEF

KLM

GHJ

Answers

Answer:

Triangle KLM

Step-by-step explanation:

Firstly, we need to write the coordinates of triangle NPQ

We have this as;

(-7,-6) for N

(-4,-3) for P

(-4,-6) for Q

Now, we are going to use the given translation formula;

(x + 8, y + 1)

N’ will be (-7+ 8, -6 + 1) = (1,-5)

P’ will be (-4+ 8, -3+1) = (4,-2)

Q’ will be (-4+ 8, -6+1) = (4,-5)

Now, we need to find the triangle with the exact given transformation coordinates calculated above;

We have the triangle as;

KLM

With K as (1,-5) ; L as (4,-2) and ; M as (4,-5)

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