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
yaroslaw [1]
3 years ago
7

Consider the following sets: R = {x | x is the set of rectangles} P = {x | x is the set of parallelograms} T = {x | x is the set

of triangles} I = {x | x is the set of isosceles triangles} E = {x | x is the set of equilateral triangles} S = {x | x is the set of scalene triangles} Which statements are correct? Check all that apply. T is a subset of P. E is a subset of I. S is a subset of T. I ⊂ E T ⊂ E R ⊂ P
Mathematics
2 answers:
Liula [17]3 years ago
6 0
"T is a subset of P"

Not true since triangle has three sides but parallelogram has four sides.

"E is a subset of I"

True since equilateral triangles are isosceles triangles with all angles equal.

"S is a subset of T"

True since scalene triangles are still triangle.

"I ⊂ E"

False since there are isosceles triangles those are not equilateral triangles. Namely triangle with angles 20°, 20°, 140°

"T ⊂ E"

False since not all triangles are equilateral. Scalene triangle is one of counterexamples.

"R ⊂ P"

True since rectangles are parallelograms with right angles.

Final answer: <span>E is a subset of I, </span>S is a subset of T, and R ⊂ P.

Hope this helps.
RSB [31]3 years ago
5 0

The correct answers are:

B. E is a subset of I.

C. S is a subset of T.

F. R ⊂ P

The statements are correct.

|Huntrw6|

You might be interested in
Write the expression that appears under the radical symbol in the quadratic formula. what is the quality called? what can it be
ira [324]
This expression is called the Discriminant, also shown as Δ.
It is equal to b² - 4ac. This is a very important part of the quadratic formula as it determines whether x will have two values, one repeated value or no real values. Here are a few examples.

a) x² - 2x - 1. a is equal to 1 since 1x² = x². b = -2, c = -1
The discriminant will be (-2)² - 4×1×-1 = 4 + 4 = 8.
Since Δ > 0, there are two x values. Graphed, the parabola sinks below the x axis.

b) x². a = 1, b = 0 (0x = 0), c = 0
The discriminant will be 0² - 4×1×0 = 0 - 0 = 0.
Since Δ = 0, there is only one x value. Graphed, the parabola touches the x axis at only one point.

c) x² + 1. a = 1, c = 1.
The discriminant will be 0² - 4×1×1 = 0 - 4 = -4
Since Δ < 0, there are no real x values. Graphed, the parabola floats above the x axis.

Hope this helps!
8 0
2 years ago
Simplify.<br> -3(2x - 2) + 4<br><br> pls and thank you
Mila [183]
-6x+10 would be ur answer :)
5 0
2 years ago
Read 2 more answers
After careful testing and​ analysis, an oil company is considering drilling in two different sites. It is estimated that site A
Luda [366]

Answer:

Expected return for site A = $9.6 million

Expected return for site B = $12.4 million

according to the above results the company should choose SITE B because it has higher Expected return

Step-by-step explanation:

Given;

For site A,

Site A net if successful = $30 million

Success probability = 0.4

Site A loss if not successful= -$4 million

Probability of not successful = 0.6

For site B.

Site B net if successful = $60 million

Success probability = 0.3

Site B loss if not successful= -$8 million

Probability of not successful = 0.7

To estimate the expected return on an event with outcomes X1 and X2 with probabilities p1 and p2

E = X1(p1) + X2(p2)

Substituting for site A

E = 30(0.4) - 4(0.6)

E = $9.6 million

Substituting for site B

E = 60(0.3) - 8(0.7)

E = $12.4 million

Therefore, according to the above results the company should choose site B because it has higher Expected return

6 0
3 years ago
What are the factors of 16​
bogdanovich [222]

Answer : 1,2,4,8,16,

3 0
3 years ago
Read 2 more answers
How do you determine what could represent a function in algebra
n200080 [17]
Hi, here is my answer:
First, if you want to determine that's relation is function, you have to realize that your value of x(Domain) is not repeated.= so, it's a function
But...If your value of x (Domain) is repeated twice or more, so I can guaranteed that is totally NOT a function

7 0
2 years ago
Read 2 more answers
Other questions:
  • John is making shells for his wrong he was 3 shelves for each shells requires a 8 2/3 be of lumber how many feet of lumber does
    6·1 answer
  • Jared bought one share of stock for $225.
    15·1 answer
  • A ball is dropped from a height of 30 feet and each time it hits the ground it bounces 0.75 of the previous height. What is the
    7·1 answer
  • Tens years equal one decade. how many years in 0.1 decade?
    6·1 answer
  • A biologist is comparing the growth of a population of flies per week to the number of flies an iguana will consume per week. He
    12·1 answer
  • What is the solution for d=rt for t
    6·1 answer
  • I need some assistance. Please help!
    13·2 answers
  • ,..............................
    11·1 answer
  • Solve the system of equations.<br> y = 6x<br> y= x^2 +5
    13·2 answers
  • A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of s
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!