1. Con relación a la figura (cuadrilátero) nombre lo siguiente:
a) Dos ángulos rectos.
b) Dos ángulos agudos.
c) Dos ángulos suplementarios.
d) Dos ángulos complementarios
e) Dos rectas paralelas.
f) Dos rectas perpendiculares
g) Una recta transversal.
Answers
The relations to a quadrilateral are:
- Two right angles.
- Two acute angles.
- Two supplementary angles.
- Two parallel lines.
- Two perpendicular lines
- A transversal line.
Options A, B, C, E, F, and G are the correct answer.
What are quadrilateral?A quadrilateral is a four side polygon such as:
- Rectangle
- Square
- Parallelograms
- Rhombus
- Trapezoid
We have,
In relation to a quadrilateral.
a)
Two right angles.
If the quadrilateral is a trapezoid it has two right angles.
b)
Two acute angles.
If the quadrilateral is a trapezoid it has two acute angles.
Acute angles mean angles less than 90 degrees.
c)
Two supplementary angles.
If the quadrilateral is a trapezoid it has two supplementary angles.
Supplementary angles are those angles whose sum is 180.
d)
Two complementary angles
A right-angled triangle has two complementary to one another.
This is not a quadrilateral.
e)
Two parallel lines.
If the quadrilateral is a trapezoid it has two acute angles.
f)
Two perpendicular lines
A square and a rectangle have two perpendicular lines.
g)
A transversal line.
If the quadrilateral is a trapezoid it has a transversal line.
Thus,
The relations to a quadrilateral are:
- Two right angles.
- Two acute angles.
- Two supplementary angles.
- Two parallel lines.
- Two perpendicular lines
- A transversal line.
Learn more about quadrilaterals here:
https://brainly.com/question/29934440
#SPJ9
The complete question.
In relation to the figure (quadrilateral) name the following:
a) Two right angles.
b) Two acute angles.
c) Two supplementary angles.
d) Two complementary angles
e) Two parallel lines.
f) Two perpendicular lines
g) A transversal line.
Related Questions
Let f(x) = 2ax-6 And g(x)= x^2+ a
If f(2)= g(2), what is a?
Answers
Answer:
a = 3 \(\frac{1}{3}\) or \(\frac{10}{3}\)
Step-by-step explanation:
Since \(f(2)=g(2)\), \(2a*2-6=2^2+a\).
Now let's solve for \(a\):
Simplify: \(4a-6=4+a\)
Add 6 to both sides: \(4a=4+a+6\)
Simplify: \(4a=10+a\)
Subtract a from both sides: \(3a=10\)
Divide both sides by 3: \(x=\frac{10}{3}\)
Samir's sister goes for kathak dance lessons on Tuesday ,Thursday and Saturday every week .If each lesson lasts 50 minutes ,how much time did he practice dance at her class in 3 weeks?
Answers
Answer:
450 minutes or 7.5hours
Step-by-step explanation:
for 1 week = 50 *3 (min)
=150 minutes
for 3 weeks = 150* 3(min )
=450 minutes
What is the equation for the lines that passes through the coordinates (0,0) and (3.5,3.5)
Answers
The equation of the line which passes through the coordinates (0,0) and (3.5,3.5) is y = x.
The slope intercept form of a line is given by:-
y = mx + c
Where,
m represents the slope of the line
c represents the y -intercept
(x,y) represents the coordinates of each point on the line.
We also know the slope of the line will be:-
(3.5-0)/(3.5-0) = 3.5/3.5 = 1
Hence, m = 1
Putting (0,0) in y = mx + c, we get,
0 = m*0 + c
0 = 0 + c
c = 0
Hence, the equation of the line is given by:-
y = x
To learn more about slope intercept form, here:-
https://brainly.com/question/9682526
#SPJ1
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each given function with the description of its graph.
y-intercept at (0, 1)
graph approaches positive infinity as x increases
y-intercept at (0, 2)
graph approaches 0 as x increases
y-intercept at (0, 2)
graph approaches negative infinity as x increases
y-intercept at (0, 1)
graph approaches 0 as x increases
y-intercept at (0, 2)
graph approaches positive infinity as x increases
Answers
y=2*(1/2)ˣ----y intercept at(0,2),graph apprοaches 0 as x increases.
y=3ˣ ----y intercept at(0,1),graph apprοaches pοsitive infinity as x increases.
y=(1/4)ˣ----y intercept at(0,1),graph apprοaches 0 as x increases.
what is an interceptThe pοint where the line οr curve crοsses the axis οf the graph. If a pοint crοsses the x axis then its called x- intercept, If a pοint crοsses the y axis then its called y-intercept.
1) y=2*(1/2)ˣ
when x=0
y=2*(1/2)⁰
=2*1
y=2
x ,y=(0,2)
2) y=3ˣ
when x=0
y=3⁰
y=1
x ,y=(0,1)
3) y=(1/4)ˣ
when x=0
y=(1/4)⁰
y=1
x ,y=(0,1)
to know more about intercept visit:
https://brainly.com/question/14180189
#SPJ1
Choose the ratio below that is equivalent to 4:3
A. 12:3
B. 8:3
C. 12:9
D. 3:4
Answers
The ratio equivalent to 4:3 is 12:9
Given:
Ratio = 4:3
To Find:
The ratio equivalent to 4:3
The given number which is in ratio is its simplest form.
Therefore in order to make it expanded form,First convert the given ratio into the fraction for its Multiplication.
Step 1: Convert to fraction
4:3 = 4/3
Step 2: Multiple the numerator and denominator of fraction by 3
4/3×3/3 = 12/9
Step 3: Convert the fraction into a ratio
12/9 = 12:9
Hence,the ratio equivalent to 4:3 is 12:9.
Option C. is correct
To learn more about Ratio visit: https://brainly.com/question/12024093
#SPJ1
find the equation of a circle passing through the points (1, 2), (0, 3)and (-2, 7)
Answers
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center of the circle, and r is the radius.
We can find the center and radius of the circle by solving a system of equations using the three given points. Here's how:
First, we can find the equations of the perpendicular bisectors of the line segments connecting the three points. The intersection of these bisectors will be the center of the circle.
The midpoint of the line segment connecting (1, 2) and (0, 3) is:
((1+0)/2, (2+3)/2) = (1/2, 5/2)
The slope of the line segment is:
(3-2)/(0-1) = -1
The slope of the perpendicular bisector is the negative reciprocal of the slope of the line segment, which is:
1/(-1) = -1
So the equation of the perpendicular bisector is:
y - (5/2) = (-1)(x - 1/2)
y = -x + 6
The midpoint of the line segment connecting (0, 3) and (-2, 7) is:
((0-2)/2, (3+7)/2) = (-1, 5)
The slope of the line segment is:
(7-3)/(-2-0) = -2
The slope of the perpendicular bisector is the negative reciprocal of the slope of the line segment, which is:
1/(-2) = -1/2
So the equation of the perpendicular bisector is:
y - 5 = (-1/2)(x + 1)
y = (-1/2)x + (11/2)
The intersection of these two lines is the center of the circle. Solving for x and y, we get:
-x + 6 = (-1/2)x + (11/2)
x = 1
Substituting x = 1 into either equation, we get:
y = -1 + 6 = 5
So the center of the circle is (1, 5).
To find the radius of the circle, we can use the distance formula between one of the given points and the center of the circle. Let's use (1, 2):
r^2 = (1 - 1)^2 + (2 - 5)^2
r^2 = 9
r = 3
Therefore, the equation of the circle passing through the points (1, 2), (0, 3), and (-2, 7) is:
(x - 1)^2 + (y - 5)^2 = 9
If a(x) = 3x + 1 and b(x) = √x-4, what is the domain of (bºa)(x)?
Answers
SOlution : Domain of (bºa)(x) = [4, ∞]
The term domain is most commonly used to describe the set of values D for which a function (map, transformation, etc.) is defined. For example, a function f(x) that is defined for real values x in R has domain R, and is sometimes said to be "a function over the reals." The set of values to which D is sent by the function is then called the range.
The domain (in its usual established mathematical sense) of a probability density function (and therefore also its distribution function) is available with the undocumented Wolfram Language command DistributionDomain[dist].
The meaning of "domain" in topology is a connected open set.
Another meaning of "domain" is what is more properly known as an integral domain, i.e., a ring that is commutative under multiplication, has an identity element, and no divisors of 0.
In the algebra of the function that is (f ± g)(x), (fg)(x) and (f/g)(x) the domain of the function will be an intersection of the domain of the functions f and g
Here the domain of the product of the function is asked thus the required domain will be an intersection of the domain of the function a and b.
Given a(x) = 3x + 1 ⇒ Domain, D1 = R
b(x) = √(x - 4) ⇒ Domain, D2 = [4, ∞]
Now, Domain of (b*a)(x) = Domain b(x) ⋂ Domain a(x)
= D2 ⋂ D1
= [4, ∞] ⋂ R
= [4, ∞]
Domain of (bºa)(x) = [4, ∞]
More details: brainly.com/question/28135761
#SPJ9
A computer generates a 4 digit code from the numbers 0 1 2 3 4 5
Answers
There are 360 different codes that can be made, and the probability that the code is between 2000 and 3000 is P = 1/6.
How many different codes van be made?There are 6 different digits, and we know that the digits can't be repeated, then for each one of the 4 digits we will have 6 options, 5, 4, 3 respectively.
Then the total number of codes will be:
C = 6*5*4*3 = 360
360 different codes.
b) Now we want to find the probability that the code is between 2000 and 3000, then we only look at the number of codes that start with the 2.
Then for the second digit we have 5 options (2 is already taken)
for the second we have 4 options
for the last one we have 3 options.
So the number of codes that start with 2 are:
C' = 5*4*3 = 60
Then the probability that a random code starts with 2 is:
P = 60/360 = 1/6
Learn more about probability:
https://brainly.com/question/25870256
#SPJ1
Which math PROPERTY is this? If 12 = 17 - 5, then 17 - 5 = 12
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
Tip: The symmetric property of equality states that no matter what side the equations and answer are it will still be equal, but it only works for the equal sign.
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
What is Number system?A number system is defined as a system of writing to express numbers.
Given that 12 = 17 - 5, then 17 - 5 = 12
we need to check which property will be used.
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
The symmetric property of equality is really quite simple. This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement.
Hence, the math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
What is m∠A?
145°
95°
50°
35°
Answers
Answer:
35°
Step-by-step explanation:
Since all straight lines have a degree of 180, we can find the measures of the other two angles.
180-85= 95
180-130=50
The sum of the measures of the degrees in a triangle is 180. So if we add m∠A + 95+50 it should equal 180.
We can solve that equation to get the measure of ∠A.
m∠A +145=180
m∠A=35°
Apply the distributive property to
create an equivalent expression.
(-7c + 8d)0.6
Answers
Answer: -4.2c + 4.8d
Step-by-step explanation:
Multiply each number by 0.6 to get -4.2c + 4.8d.
How many solutions does the system have?
x + y = 5
x + y = 6
Onone
O one
O two
O infinite
Answers
Answer:
none
Step-by-step explanation:
please mark me as brainlest
Write the quadratic equation whose roots are 1 and -3, and whose leading coefficient is 1.
(Use the letter x to represent the variable.).
Answers
Step-by-step explanation:
Factor Theorem:
"If a is a root of a polynomial, (x - a) is a zero of the polynomial."
Therefore by Factor Theorem,
we have (x - 1)(x + 3) = x² + 2x - 3.
1) {(9,-8), (8,-9), (-9, 5), (3, 8), (7, 8) }
Domain:
Range:
Function?: function or not?
Answers
The domain is {9, 8, -9, 3, 7}, the range is {-8,-9, 5, 8} and the relation is a function
How to determine the domain and the range?From the question, we have the following parameters that can be used in our computation:
{(9,-8), (8,-9), (-9, 5), (3, 8), (7, 8) }
The domain is the set of the x values
So, we have the following representation
x = {9, 8, -9, 3, 7}
Remove repeated entries
x = {9, 8, -9, 3, 7}
So, the domain is {9, 8, -9, 3, 7}
Similarly, we have
Range = {-8,-9, 5, 8}
Also, the relation is a function
This is because the no x value has several y values
Read more about domain at
brainly.com/question/27910766
#SPJ1
The sum of two numbers is 57 and the difference is 5. What are the numbers?
larger number:
smaller number:
Answers
Answer:
25+22
Step-by-step explanation:
When you subtract 27 to 22
Answer:
31 and 26
Step-by-step explanation:
31 + 26 = 57
31 - 26 = 5
Therefore, your answer is 31 and 26
The numbers of a whole numbers between 41 and 55
Answers
.hope this helps
Please help !! 10 pts!!!!
Answers
Y = 8000/1000= 8
Y= 8*20
Y= 160
Danielle is solving an addition problem. She wrote the first step as shown below. 3.06 + 1.7 + 0.94 3.06 + 0.94 + 1.7 A. Name the property of operations Danielle used in her first step. B. Solve the addition problem.
Answers
Answer:
Step-by-step explanation:
A: Danielle used the Commutative property, since she just rearranged the order from 3.06 + 1.7 + 0.94 to 3.06 + 0.94 + 1.7
B. 3.06 + 0.94 + 1.7 = 5.7
Danielle used commutative property in her first step and 3.06 + 1.7 + 0.94 is 4.8.
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
Danielle is solving an addition problem.
3.06 + 1.7 + 0.94
three point zero six plus one point seven plus zero point nine four.
She wrote the first step as 3.06 + 0.94 + 1.7 A.
By observing we can tell that the order is only changed.
Danielle used commutative property for solving.
Now we need to solve 3.06 + 1.7 + 0.94
3.06
+ 1.70
0.94
________
4.80
So the value of 3.06 + 1.7 + 0.94 is 4.8.
Hence Danielle used commutative property in her first step and 3.06 + 1.7 + 0.94 is 4.8.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
what is 2-4+7-6+8-0
Answers
Answer:
7
Step-by-step explanation:
Answer: Seven
Explanation: I wrote the numbers down, then added/subtracted 2 from 4, 7 from 6, and 8 from 0, then added all the totals
Maths me please I be strugglinggggg
Answers
The measure of the angles of a triangle are 50°, 60°, 70°. The triangle is acute-angle triangle.
What is an acute angle?
An acute angle is one that is less than 90 degrees in length. This is a smaller angle than the right angle (which is equal to 90 degrees).
Given that the measure of the angles of a triangle are x, x+10, and x+20.
The sum of the interior angles of a triangle is 180°.
According to the question,
x+x+10+x+20 = 180°
3x + 30 = 180°
3x = 150°
Divide both sides by 3:
x = 50°.
Putting x = 50° in x, x+10, and x+20.
x =50° , x+10 = 60°, and x+20 =70°.
All angles of the triangle is 90°. Thus the triangle is an acute angle triangle.
To learn more about acute-angle triangle, click on the below link:
https://brainly.com/question/29211191
#SPJ1
24.A baker bought a bag a flour to make
banana bread. The recipe calls for 1.5 cups
of flour per loaf. The number of cups of flour
left in the bag y after making x loaves of
bread is shown in the table. (Lesson 2-3)
X intercept
0
2
4
6
8
y intercept
12
9
6
3
0
Write the y-intercept as an ordered pair and
interpret its meaning in the real-world
context.
Answers
The y-intercept is; (0, 12)
The value of the y-intercept is the value of y when x = 0.
The meaning in the real world is when making 0 loaves of bread, the number of cups of flour left in the bag is 12. That is to say there are 12 cups of flour in the bag.
How to Interpret Function Tables?According to the table and because the recipe calls for 1.5 cups of flour per loaf.
Thus, we can write the relationship between x and y is;
y = 12 - 1.5x
Thus, the y-intercept is; (0, 12)
The value of the y-intercept is the value of y when x = 0.
The meaning in the real world is when making 0 loaves of bread, the number of cups of flour left in the bag is 12. That is to say there are 12 cups of flour in the bag.
Read more about Function Tables at; https://brainly.com/question/12151322
#SPJ1
Let A be a diagonalizable matrix whose eigen values satisfy that A2 = A + 1. Then A satisfies A) A² = A +1 B) A² = A + 2 C) A² = A D) A² = A + 1
Answers
D) A^2 = A + 1 this equation represents diagonal matrices with the same eigenvalues on the diagonal.
Let λ be an eigenvalue of the matrix A, and let v be the corresponding eigenvector. Since A is diagonalizable, we can write A = PDP^(-1), where D is the diagonal matrix containing the eigenvalues on the diagonal, and P is the matrix whose columns are the eigenvectors.
We know that A^2 = A + 1, so we can substitute A with its diagonalizable form:
(PDP^(-1))^2 = PDP^(-1) + 1.
Expanding the square and applying the matrix multiplication rules, we get:
PD^2P^(-1) = PDP^(-1) + 1.
Since D is a diagonal matrix, D^2 will have the eigenvalues squared on the diagonal. Therefore, we have:
P(D^2)P^(-1) = PDP^(-1) + 1.
Multiplying both sides by P^(-1) on the right, and by P on the left, we obtain:
D^2 = D + 1.
This equation holds because P^(-1)P = I (the identity matrix), and D and D^2 are diagonal matrices with the same eigenvalues on the diagonal.
Therefore, the correct answer is D) A^2 = A + 1.
Learn more about eigenvalues
A rectangle has side lengths of 9x+12 and 3x+7. What is the perimeter
Answers
Answer:
B. 24x + 38
Step-by-step explanation:
Since this is a rectangle, there will be a pair of sides that are the same. With perimeter, add up the side lengths.
\(2(9x+12)+2(3x+7)\\\\18x+24+6x+14\\\\24x+38\)
I just doubled each side and got this
Every rational number is: (a) an integer (b) a real number (c) a natural number (b) a whole number
Answers
Answer:
Option C
A Natural Number
Step-by-step explanation:
Every rational number is natural number
-TheUnknownScientist
Answer:
option C
A NATURAL NUMBER
Step-by-step explanation:
I HOPE IT'S HELPThe length of a rectangle is 3cm longer than its width.
If the perimeter of the rectangle is 58 cm, find its length and width.
Answers
The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The length of a rectangle is 3cm longer than its width. If the perimeter of the rectangle is 58 cm. Then the equations are given below.
L = 3 + W ...1
2(L + W) = 58
L + W = 29 ...2
From equations 1 and 2, then we have
3 + W + W = 29
2W = 26
W = 13 cm
Then the length of the rectangle will be given as,
L = 3 + 13
L = 16 cm
The length and width of the rectangle will be 16 centimeters and 13 centimeters, respectively.
More about the perimeter of the rectangle link is given below.
https://brainly.com/question/15287805
#SPJ1
a piece of rock has a mass of 86.3g , correct to the nearest 0.1g . find the greatest possible mass of the rock in 2 decimal places
Answers
The greatest possible mass of the rock to two decimal places is 86.34 g
How to find the greatest possible mass of the rock?Since the mass of the piece of rock is 86.3 g, correct to the nearest 0.1 g. Thus, the actual mass of the rock in 2 decimal places could be between 86.25 g and 86.34 g.
To find the greatest possible mass of the rock, we need to round up to the higher end of the range of the mass of the rock.
Therefore, the greatest possible mass of the rock to two decimal places is 86.34 g
Learn more about decimal places on:
https://brainly.com/question/28338004
#SPJ1
( 9 x 7 ) - ( 9 x 5 )
Answers
Answer:
18
Step-by-step explanation:
63-45=18
Here you go, enjoy!
Find the 20th term of the following sequence. -6, -4, -2, 0
Answers
Answer:
32.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 = -6 and common difference 2.
an = a1 + d(n - 1)
a20 = -6 + 2(20-1) = 32
Suppose c varies jointly with a and b. When c = 25, a = 2, and b = 2.5. What is the value of c when b = 4/3 and a = 6?
Answers
Victoria goes out to lunch and the bill is $20.40. She wants to leave a 15% tip. What will the total cost of her meal be?
Answers
Answer:
Step-by-step explanation:
$20.40(1+15/100)
$20.40(1.15)
$23.46