All categories

4 years ago

Are the two triangles similar? How do you know?

Mathematics

1 answer:

mars1129 [50]4 years ago

4 0

Answer:

Step-by-step explanation:

The triangles are not similar because line KM and GM are similar, and angle M are similar, but HM and JM are not.

You might be interested in

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

$m_ {1} * m_ {2} = - 1$

The given line is:

$5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3$

So we have:

$m_ {1} = \frac {5} {2}$

We find $m_ {2}:$ $m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}$

So, a line perpendicular to the one given is of the form:

$y = - \frac {2} {5} x + b$

We substitute the given point to find "b":

$-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2$

Finally we have:

$y = - \frac {2} {5} x-2$

In point-slope form we have:

$y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)$

ANswer:

$y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)$

3 0

3 years ago

Read 2 more answers

(Question Is In The Picture, Kinda Bad)

11111nata11111 [884]

Answer:

72 cupcakes

Step-by-step explanation:

Morgan can make 4 cupcakes with one cup of flour. She has 18 cups of flour and suppose she can make x cupcakes, then

1 cup of flour - 4 cupcakes

18 cups of flour - x cupcakes

Write a proportion:

$\dfrac{1}{18}=\dfrac{4}{x}$

Cross multiply:

$1\cdot x=18\cdot 4\\ \\x=72\ cupcakes$

5 0

3 years ago

PICKING BRAINLIEST!!! Please select the word from the list that best fits the definition a device used to find latitude

Softa [21]

Can you provide the list?

3 0

3 years ago

Read 2 more answers

(74pts) I offer all my points to anyone but help me! Write a real-world problem that can be represented by the algebraic equatio

musickatia [10]

<span>Jane is playing a game with Mike. Right now, Mike is winning, he has 10 more than 5 times the points that Jane has. If Jane has 47 points, how many points does Mike have?

or you could do

</span><span>Martha is doing an inventory of all the goods in her shop. For the brand Toms shoes, she should have recieved an order that would have brought the total number of Toms shoes in her store to 10 more than 5 times the number of shoes she has now. If Martha has 89 pairs of Toms in her store, how many would she have had, if she had recieved the delivery?

hope this helped :)
alisa202</span>

3 0

4 years ago

Read 2 more answers

Which of the following is a geometric series? 40 + 50 + 60 + 70 40 + 42 + 44 + 46 40 + 80 + 40 + 120 40 + 20 + 10 + 5

Aloiza [94]

Answer:

40 + 20 + 10 + 5 is a geometric series

Step-by-step explanation:

* Lets revise the geometric series

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)

# 5000 , 1000 , 200 , 40 , …………………………(÷5)

* General term (nth term) of a Geometric Series:

∵ U1 = a , U2 = ar , U3 = ar2 , U4 = ar3 , U5 = ar4

∴ Un = ar^n-1, where a is the first term , r is the constant ratio

between each two consecutive terms , and n is the position of

the term in the series

* Now lets check the answers to find the correct one

# 40 + 50 + 60 + 70

∵ 50/40 = 5/4

∵ 60/50 = 6/5

∵ 5/4 ≠ 6/5

- No common ratio between each two consecutive terms

∴ Not geometric series

# 40 + 42 + 44 + 46

∵ 42/40 = 21/20

∵ 44/42 = 22/21

∵ 21/20 ≠ 22/21

- No common ratio between each two consecutive terms

∴ Not geometric series

# 40 + 80 + 40 + 120

∵ 80/40 = 2

∵ 40/80 = 1/2

∵ 2 ≠ 1/2

- No common ratio between each two consecutive terms

∴ Not geometric series

# 40 + 20 + 10 + 5

∵ 20/40 = 1/2

∵ 10/20 = 1/2

∵ 5/10 = 1/2

- There is a common ratio between each two consecutive terms

∴ 40 + 20 + 10 + 5 is a geometric series

7 0

3 years ago