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
erastova [34]
2 years ago
7

Are the polygons similar? If they are, write a similarity statement. The figures are not drawn to scale.

Mathematics
1 answer:
Marina CMI [18]2 years ago
8 0

Based on the SAS similarity theorem, both triangles are similar.

Similarity statement is: ΔSTV ~ ΔPQR by SAS Similarity Theorem.

<h3>What are Similar Polygons?</h3>

Similar Polygons have different size but the same shape, and as such, the ratio of their corresponding side lengths are equal, while their corresponding angles are congruent.

Based on the SAS similarity theorem, two triangles are similar to each other if they have two pairs of corresponding sides that are proportional and an included pair of angles that are congruent.

In ΔSTV and ΔPQR:

m∠S ≅ m∠P = 86° (one pair of included congruent angles)

ST/PQ = SV/PR = 0.67 (proportional sides).

Therefore, based on the SAS similarity theorem, both triangles are similar.

Similarity statement is: ΔSTV ~ ΔPQR by SAS Similarity Theorem.

Learn more about similar polygons on:

brainly.com/question/2264759

You might be interested in
the phrase “is a function of” gets used in non-mathematical speech as well as mathematical mathematical speech in sentences like
Tanya [424]

Answer:

Step-by-step explanation:

This is a very interesting question. I'm going to answer no, but don't take that to mean that the question is not worthwhile. It is.

In math, function has the meaning of considering ordered pairs. Here are 4 such ordered pairs.

(1,2)

(2,4)

(1,-3)

(5,9)

They are really not related to one another except all are ordered pairs.

Here's the math definition. If one of the x values (1,2,1,5) has more than 1 y value, you do not have a function.

1 has 2 y values,  2 and -3. Therefore the 4 points do not form a function

if you change the first (1,__) to 0 and your ordered pair becomes (0,2), all is well and you do have a function.

Whether you understand this or not, you have to see that a math function and a biology function are very different. The math function has numbers and those numbers have to obey a rule.

The biology function seems to be saying that how your mom and dad brought you up will determine what foods you like.

Those two uses are very different. How your mom brought you up is related to food. It could be anything else like "Being a knife carrying gang member is a function of where you live."

4 0
3 years ago
Find all x so that x^5=-x^3. Imaginary numbers (like "i") are allowed.
natita [175]
It’s 3 keidiskdkkskskskkssiisisisisiis
8 0
3 years ago
Read 2 more answers
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular
kap26 [50]

Answer:

  a) no

  b) 143 rectangular containers

  c) 157 cylindrical containers

  d) both (preferring rectangular for the bulk of an order)

Step-by-step explanation:

a) If the company needs to package 6,400 candles, should it use only rectangular or only cylindrical containers to minimize costs?

  No.*

For packaging 41 candles or fewer, the cylindrical container costs less than the rectangular one.

For packaging 6400 candles, there will be 10 candles left over if rectangular containers are used for most of the packaging needs. A dollar can be saved by packaging these remaining candles in a cylindrical container.

__

b) How many rectangular containers will be necessary to package 6,400 candles?

  6400/45 = 142 10/45

If rectangular containers are used for all, then 143 are needed.

__

c) How many cylindrical containers will be necessary to package 6,400 candles?

  6400/41 = 156 4/41

If cylindrical containers are used for all, the 157 are needed.

__

d) Which container should the company use to minimize costs?

  The cost of 143 rectangular containers is 143×$16 = $2288

  The cost of 157 cylindrical containers is 157×$15 = $2355

  The cost of 142 rectangular and 1 cylindrical container is $2287

If only one shape container is used, the company should use rectangular containers to minimize cost. If either shape can be used, cost will be minimized by using one cylindrical container for the remnant of the order.

_____

* This question is directed solely at the cost of materials required for packaging. We have advocated that both rectangular and cylindrical containers be made available. As a practical matter, the cost to the company of maintaining inventory of both sizes of containers may exceed the savings associated with using a cheaper container for smaller orders.

8 0
3 years ago
What is the volume of a hemisphere with a radius of 2.3 m, rounded to the nearest tenth of a cubic meter?
ANTONII [103]

Answer:25.5m^3

Step-by-step explanation:

radius(r)=2.3m

π=3.14

volume of hemisphere=2/3 x π x r^3

Volume=2/3 x 3.14x(2.3)^3

Volume=2/3 x 3.14 x 2.3 x 2.3 x 2.3

volume=(2x3.14x2.3x2.3x2.3) ➗ 3

Volume=76.40876 ➗ 3

Volume=25.5

3 0
3 years ago
The mayor of Chicago is known for being a great host, and he puts a lot of time into preparing for events. For the mayor's next
LenaWriter [7]

Answer:

D) 3768 inches

Step-by-step explanation:

Given,

No. of plates = 100

Diameter of each plate = 12inches

So, radius of each plate = 12 / 2 = 6 inches

So, circumference of each plate

= 2\pi \: r

= 2 × 3.14 × 6 inches

= 37.68 inches

Hence, circumference of 100 plates = 100 × 37.68 inches

= 3768 inches

Hence, <u>3768 inches</u> of gold trim is required (Ans)

4 0
3 years ago
Other questions:
  • What is the surface area
    11·2 answers
  • Please help me! And please explain
    15·1 answer
  • Please explain, True or False: The variables in the equation 4x-(5y)2=64x-(5y)2=6 are 4, 5, and 6
    6·2 answers
  • Please help!!! 15 points
    11·1 answer
  • Sarah's age exceeds Vika’s age by 16 years. Four years ago, Sarah was twice as old as Vika was then. Find the present age of eac
    11·2 answers
  • Make a frequency distribution and find the relative frequencies for the following number set. Round the relative frequency to th
    8·1 answer
  • Which equation represents a line that passes through the two points in the<br> table?
    13·1 answer
  • What is the area of the polygon given below?
    6·1 answer
  • I need help with this question!
    14·1 answer
  • Mr Fowler’s science class
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!