1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexxx [7]
3 years ago
9

Question 18 (4 points)

Mathematics
1 answer:
Licemer1 [7]3 years ago
7 0

for similar shapes, their corresponding sides will form the same proportion or ratio for any pair of corresponding sides, now, let's check the ratio of each corresponding side on these two.

\bf \cfrac{\textit{small triangle}}{\textit{large triangle}}\qquad \qquad \cfrac{12}{45}\implies \cfrac{4}{15}~\hfill \cfrac{25}{75}\implies \cfrac{1}{3}~\hfill \cfrac{15}{36}\implies \cfrac{5}{12} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{the triangles are \underline{not} similar}}{\cfrac{4}{15}\ne \cfrac{1}{3}\ne \cfrac{5}{12}}~\hfill

You might be interested in
Find the areas of the parallelogram whose vertices are given below. ​A(negative 1​,4​) ​B(4​,0​) ​C(12​,3​) ​D(7​,7​) The area o
tankabanditka [31]

Answer:

So the parallelogram is in the first and second quadrants.

Step-by-step explanation:

From Exercise we have that the parallelogram have a vetrices:

A(negative 1​,4​) ​B(4​,0​) ​C(12​,3​) ​D(7​,7​). We use a site geogebra.org to plof a graph for the given parallelogram.

From the graphs we can see that the parallelogram is mostly in the first quadrant and smaller in the second quadrant. So the parallelogram is in the first and second quadrants.

5 0
3 years ago
A boat that can travel 18 mph in still water can travel 21 miles downstream in the same amount of time that it can travel 15 mil
svlad2 [7]

Hey there! I'm happy to help!

We see that if the river isn't moving at all the boat can move at 18 mph (most likely because it has an engine propelling it.)

We want to set up a proportion where our 21 miles downstream time is equal to our 15 miles upstream time so we can find the speed. A proportion is basically showing that two ratios are equal. Since our downstream distance and upstream distance can be done in the same amount of time, we will write it as a proportion.

We want to find the speed of the river. We will use r to represent the speed of the river. When going downstream, the boat will go faster, so it will have a higher mph. So, our speed going down is 18+r. When you are going upstream, it's the opposite, so it will be 18-r.

\frac{distance}{speed} =\frac{21}{18+r} = \frac{15}{18-r}

So, how do we figure out what r is now? Well, one nice thing to know about proportions is that the product of the items diagonal from each other equals the product of the other items. Basically, that means that 15(18+r) is equal to 21(18-r). This is a very nice trick to solve proportions quickly. We see that we have made an equation and now we can solve it!

15(18+r)=21(18-r)

We use the distributive property to undo the parentheses.

270+15r=378-21r

We subtract 270 from both sides.

15r=108-21

We add 21 to both sides.

36r=108

We divide both sides by 36.

r=3

Therefore, the speed of the river is 3 mph.

You also could have noticed that 18mph to 21 mph is +3, and 18mph to 15 mph -3 in -3 mph, so the speed of the river is 3 mph. That would have been a quicker way to solve it XD!

Have a wonderful day!

3 0
3 years ago
Find the sum of the measures of the interior angles of each of the following convex polygons: a pentagon, an octagon, a dodecago
Margarita [4]
This likely has a pattern. Lets see if we can find it.

The sum of a triangle is 180
The sum of a 4 sided figure is 360
The sum of a 5 sided figure is 3*180 = 540
The sum of a 6 sided figure is 4*180 = 720
==========================
The pattern looks like it it (( n-2 )*180) for any polygon where n is the number of sides of the polygon.

You can convince yourself (but this is not a formal proof) by starting with a 6 sided figure. Pick one point on the figure where 2 sides meet. Draw diagonals to all the points not connected to the point you've chosen. You should be able to get 4 such diagonals. You have created 4 triangles.

4*180 = 720 just what your estimate said.d

8 sides will give 6*180 = 1080 degrees and if you keep going on the above table you will see 1080 come up for 8. I'd post a diagram but I don't know how to upload it.


This procedure is extremely important. There is a new math around where these kinds of problems are solved by reducing them to much simpler questions, and getting an answer for them. The pattern is what you are looking for.

Now you can do the rest of the questions.
Pentagon: (5 - 2) * 180 = 
Octagon: (8 - 2) * 180 =
dodecagon (12 - 2)*180=
40 sides 38*180 =  
100 sides 98 * 180 =
5 0
3 years ago
Read 2 more answers
Given the following group of numbers, 8, 2, 9,4, 2, 7, 8, 0, 4, 1, which of the following
Lena [83]

Answer:

III. The mode is 2

Step-by-step explanation:

Mean: (8+2+9+4+2+7+8+0+4+1)/10 =  45/10 = 4.5

Median: (2+7)/2 = 9/2 = 4.5

Mode: There is no mode since 2 and 8 both appear twice (in other words, since they have the same frequency, it's bimodal)

The closest possible choice is III. The mode is 2, but keep in mind that since the data set is bimodal, there is no single mode.

4 0
2 years ago
Read 2 more answers
45/84 is it in simplest form
balandron [24]
The simplest form is 15/28
Correct me if I'm wrong. Hope this helps!
3 0
3 years ago
Other questions:
  • There are 23 tables in the library. Each table has 4 chairs. Third grader fill the chairs at 3 tables. Fourth graders fill the c
    11·2 answers
  • Graph the image of rectangle STUV after a reflection across the line x = -2
    10·1 answer
  • If a regression analysis was to be completed on body mass index (BMI), what could be an independent variable in that analysis? W
    12·1 answer
  • Help Me Please:(:(:(:(
    11·2 answers
  • What formula should be used when factoring the expressionn x^3+27
    9·1 answer
  • I need help with his does anybody know the answer
    11·2 answers
  • My brother took the car to the airport to pick up family members. The rate that the car was traveling was measured in miles to h
    14·1 answer
  • HELP WILL BRAINIEST AND 20 POINTS. HERE IS THE QUESTION:
    11·1 answer
  • What is 9x7 equal to i been stuck
    7·1 answer
  • Which facts are true for the graph of the function below check all that apply F(x)=log6x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!