Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
Answer:
B) 10
Step-by-step explanation:
The triangles are congruent by HL. Thus, by CPCTC, [tex]x=10[/tex].
4) Victoria bought 50 beads. She paid $6 for
the beads. How much did each bead cost?
Define a variable and write an equation.
Solve the equation.
Answer: $0.12
Step-by-step explanation:
50x = 6
Use x as your variable
Infinitely Many Solutions
6-3+4x+1= _x +_
PLEASE AWNSER QUICKLY
FILL IN THE BLANK
Answer:4x+4
Step-by-step explanation:
6-3= 3+1= 4 =4x+4
Is the ordered pair (0, 4) a solution of the inequality y≤x−3? Explain.
The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
As per the given inequality,
y ≤ x - 3
Put x = 0
y ≤ 0 - 3
y ≤ -3
Since 4 ≤ -3 is the wrong statement thus it will not satisfy the inequality.
Hence "The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality".
For more about inequality,
brainly.com/question/20383699
#SPJ1
The given ordered pair is not the solution for y ≤ x − 3.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The inequality is given as y ≤ x - 3.
The x coordinate for the ordered pair (0,4) is 0.
And, the y coordinate is 4.
Substitute the value of x and y in the given inequality as follows,
y ≤ x - 3
=> 4 ≤ 0 - 3
=> 4 ≤ -3
Which is not true.
Hence, the ordered pair (0, 4) is not solution of the inequality y ≤x − 3.
To know more about linear inequality click on,
https://brainly.com/question/11897796
#SPJ1
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
- 6x + 15 < 10 - 5x , are correct representations of the inequality .
What is Inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. [1] The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:
The symbol a b indicates that an is smaller than b.
When a > b is used, it indicates that an is bigger than b.
A is not equivalent to b in any scenario. Since an is strictly less than or strictly greater than b, these relationships are known as stringent inequalities[1]. Equivalence is not considered.
There are two forms of inequality relations that are not strict, in contrast to strict inequalities:
The indication of an or b denotes that.
According to our question-
The difference is 5 (-3(2x - 5)). (2 - x)
First, make each side simpler.
∵ -3(2x - 5) = -3(2x) + -3(-5) (-5)
Recall that (+)=(-)
∴ -3(2x - 5) = - 6x + 15
∵ 5(2 - x) = 5(2) + 5(-x) (-x)
Recall that (+)(-) = (-)
∴ 5(2 - x) = 10 - 5x
∴ - 6x + 15 < 10 - 5x
Take 15 away from both sides.
∴ - 6x < -5 - 5x
5 times on both sides
∴ - x < - 5
Because the coefficient of x is negative, you must change the inequality's sign when you divide both sides by it.
The x coefficient is -1.
∴ Add -1 to both sides.
∴ x > 5
The appropriate answers are:
- 6x + 15 < 10 - 5x
Hence, - 6x + 15 < 10 - 5x , are correct representations of the inequality .
Learn more about inequality click here:
https://brainly.com/question/24372553
#SPJ1
Find the product
(2n + 7)(3n - 4)
Answer:
6n²+13n-28
Step-by-step explanation:
6n²-8n+21n-28
6n²+13n-28
Hope it helps!
During a maths game, Joseph had a total of 2x-6 points. His friend Thomas
had 4 more points than Joseph. Eric told them that he had double their amount.
Find how many points did Eric have in terms of x?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of points Eric have is 8x - 16.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Joseph points = 2x - 6
Thomas points = 2x - 6 + 4 = 2x - 2
Eric points = 2 ( 2x - 6 + 2x - 2 )
Now,
The points Eric have is.
= 2 (4x - 8)
= 8x - 16
Thus,
The number of points Eric have is 8x - 16.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Identify the parent function and designee the transformations.
A parent function in mathematics is the most basic function within a family of functions that nonetheless upholds the definition of the entire family.
What is the parent function equation?A family of functions' simplest version of an equation is a parent function. Parent functions come in a variety of forms, including: linear processes f(x)=x f(x)=x, where the function's degree is 1 and it symbolises a straight line.The simplest function that nonetheless complies with a certain type of function's specification is a parent function. For instance, y = x would be the parent function when considering the linear functions that make up a family of functions. The most basic linear function is this one.y=x in a linear function. Quadratic Functions with Parabolas: y=x Cubic functions for polynomial functions: y=x. Fundamental Value Functions.Find the attachment answer
Learn more about parent function refer to :
https://brainly.com/question/28308910
#SPJ1
Which point-slope equation represents a line that passes through (3, â€"2) with a slope of negative startfraction 4 over 5 endfraction? y â€" 3 = â€"(x 2) y â€" 2 = (x â€" 3) y 2 = â€"(x â€" 3) y 3 = (x 2)
The required equation of a line is y = 9/5 (4x - 12)
Given-
The point from which the line passes through is (3,2)
The slope of the given line m is -4/5.
Equation of the line
The linear equation of a line can be represented by a set of points on a graph using the equation of the line.
The standard form of the line passing through the point x₁, y₁
The slope m is given by,
m = (y - y₁) / (x - x₁)
Put the values of points and slope in the above equation, we get,
-4/5 = (y - 2) / (x - 3)
-4/5(x - 3) = y -2
-4x/5 + 12/5 = y - 2
-1/5 (4x - 12) + 2 = y
y = 9/5 (4x - 12)
The linear equation of a line can be represented by a set of points on a graph using the equation of the line. The following equation depicts a line that crosses (3, 2) and has a slope of -4/5: y = 9/5 (4x - 12)
Learn more about equation of line here;
https://brainly.com/question/26078619
#SPJ4
if n is a positive integer, how many integers from 0 through 2n must you pick in order to be sure of getting at least one that is odd? incorrect: your answer is incorrect. how many integers must be picked in order to be sure of getting at least one that is even?
Therefore , the we need to pick n + 2 numbers to be sure of random selection is an odd number.
What is random selection?In statistic, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. This procedure involves choosing a sample at random.
Here,
You must choose n + 2 numbers at random in order to guarantee that you will get at least one odd number.
Since n is a positive integer, the following values of n are possible:
{1, 2, 3, 4, ...}
Let's assume n = 1.
Now, in order to guarantee that you choose at least one odd integer from 0 to 2n = 2*1 = 2, how many must you choose (at random)?
There are three numbers from 0 to 2:
0, 1, 2
If you choose these at random, selecting all three digits will guarantee that you receive an odd number.
From 0 to 2*n, there are the following options if n = 2.
0, 1, 2, 3, 4
Five choices.
If you wish to choose at least one odd number for certainty after picking 3 even numbers, you must choose 4 numbers.
From 0 through 2*n, if n = 3, we get:
0, 1, 2, 3, 4, 5, 6
Since 4 of these are even, you must choose 5 of them to guarantee an odd number.
The amount of even numbers is always n + 1, therefore given a random integer n, we will have n + 1 even numbers from 0 to 2n. Therefore, if we want to be certain that we are selecting an odd number at random, we must choose n + 2 numbers.
Therefore , the we need to pick n + 2 numbers to be sure of randomly selecting an odd number.
To know more about random selection , visit
https://brainly.com/question/27975182
#SPJ4
Solve for x (round to the nearest degree)
The value of angle x in the right triangle is 35 degrees.
How to find the angle of a right triangle?A right triangle is a triangle that has one of it's angles as 90 degrees. A right triangle sides are named according to the position of the angles.
The sides name are as follows:
opposite sideadjacent sidehypotenuse sideTherefore, let's find the angle x using trigonometric ratios.
hence,
sin x = opposite / hypotenuse
opposite side = 4
hypotenuse side = 7
sin x = 4 / 7
x = sin⁻¹ 0.57142857142
x = 34.8499044793
x = 35 degrees
learn more on right triangle here: https://brainly.com/question/15640939
#SPJ1
(−2/9)÷(−2 1/3÷1/9) HELP PLS!!
Answer:
0.01058201058
Step-by-step explanation:
-40 + (-25) - ( -80)
Answer:
95
Step-by-step explanation:
What types of values of the test statistic for the kruskal wallace test support the alternative hypothesis?.
One of the non-parametric tests used it as a generalized version of such Mann Whitney U test is the Kruskal-Wallis test.
Explain the term Kruskal-Wallis Test?One of the non-parametric tests used as an expanded version of a Mann Whitney U test is the Kruskal-Wallis test.
It's employed to test the null hypothesis, which claims that "k" samples were taken from the same population or an identical population and that the median for each sample was the same or same. The null hypothesis can be expressed mathematically as S1 = S2=..... = Sk if Sj is the population median again for jth group and sample with in Kruskal-Wallis test. Naturally, the alternative theory would be that Si and Sj are not equal. This indicates that there are different pairs in at least 1 pair of groups and samples.As a result, it has been used to investigate the null hypothesis, which claims that 'k' samples were taken from populations that were either identical or similar and had medians that were similar or slightly similar.
To know more about the Kruskal-Wallis Test, here
https://brainly.com/question/29106748
#SPJ4
how many two digit numbers can you write if you are not dont use 1 and 2
The number of permutations of two digits that we can write without 1 and 2 is 64 digits.
How to find how many two digit number s can be formed without using 1 and 2?To find how many two digit numbers can be formed if we don't use 1 and 2, we find the number of permutations.
What are permutations?Permutations are the number of ways in which n objects can be arranged in x ways. It is given by ⁿPₓ = n!/x!
Now, since we require a two digit number without 1 and 2 in any of the digits, we have 10 digits - 2 digits = 8 digits.
So, we have 8 digits to arrange in both the first digit position and second digit position.
The number of permutations for the first digit is ⁸P₁ = 8.
The number of permutations for the second digit is ⁸P₁ = 8.
So, the total number of permutations for the two digit number is N = ⁸P₁ × ⁸P₁ = 8 × 8 = 64 ways
So, the number of digits that we can write without 1 and 2 is 64 digits.
Learn more about permutations of two digits numbers here:
https://brainly.com/question/15322692
#SPJ1
"If you subtract 19 from my number and multiply the difference by -5, the result is -90." What is Elise's number?
Answer: Elise's number is 37
Step-by-step explanation:
-5(x-19)=-90
-5x+95=-90
-5x=-185
x=37
Solve using substitution.
x + 7y = 18
2x + 9y = 16
Answer:
x= -10
y= 4
Step-by-step explanation:
it will be easiest to isolate x in the first equation
x+7y=18
-7y. -7y
x=18-7y
now that we know x we will it into second equation
2(18-7y)+9y=16
36-14y+9y=16
36-5y=16
-36. -36
-5y=-20
/-5 /-5
y=4
now fill in y to find x
x+7(4)=18
x+28=18
-28 -28
x= -10
hopes this helps please mark brainliest
PLEASE HELP ASAP. WILL GIVE BRAINLIEST!!!!!!
Using trigonometric ratio, the length of BE is 10 units, the value of sin B is 0.64 and cos B is 0.64 respectively
Trigonometric RatioThis is the ratio between the angles and sides of a right-angle triangle. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
In this problem, we have that
tan B = 3/4NE = 7.51)
Using tangent of B
tan B = opposite / adjacent
tan B = NE / BE
3/4 = 7.5 / BE
BE = 7.5 / 0.75
BE = 10
2)
To find sin B, we need to calculate the hypothenuse of the triangle which we will use Pythagoras's theorem
NB² = BE² + NE²
NB² = 10² + 7.5²
NB = 12.5
sin B = NE / NB
sin B = 7.5 / 12.5
B = sin⁻¹ (7.5 / 12.5)
B = 0.64
3)
cos B = BE / NB
cos B = 10 / 12.5
B = cos⁻¹ (10/12.5)
B = 0.64
Learn more on trigonometric ratio here;
https://brainly.com/question/17155803
#SPJ1
write the polynomial 8x-6x^2-3x^3 in standard form
Answer: -3x³ - 6x² + 8x
Step-by-step explanation:
In standard form, we order the terms in a polynomial with the highest degree on the left down to the lowest degree on the right. Make sure to keep the positive or negative "attached" to the mathematical term you are moving.
Given;
8x - 6x² - 3x³
3 > 2 > 1, so we will reorder:
-3x³ - 6x² + 8x
-3x^3-6x^2+8x is the standard form of polynomial 8x-6x^2-3x^3.
Often, we arrange the terms in a polynomial in standard form in which the term with the highest degree is first and is followed by the other terms in order of decreasing powers.
The first term of a polynomial in this form is called the leading term, and the coefficient in this term is called the leading coefficient.
To know more about polynomial
https://brainly.com/question/11566541
the length of a segment from a vertex to the centroid is the length of the median from that vertex.
By the Centroid Theorem, we can conclude that the length of a segment of the median from a vertex to a centroid is equal to the two-thirds of the length of the median from that vertex.
What is Centroid Theorem?
The point that may be used to represent the centre of a one- or two-dimensional figure, with all points' distances from this point adding up to zero. centre of mass is comparable. also known as the median point Geometry. the location where a triangle's medians meet.
The common endpoint of two or more rays or line segments Vertex typically means a corner or a point where lines meet.
Here given that,
The length of a segment from a vertex to the centroid is the length of the median from that vertex.
So, the length of a segment from a vertex to the centroid is which is the median of that vertex.
To know more about the vertex
brainly.com/question/19573277
#SPJ4
There are 35 questions total!! Please answer with an explanation and whoever answers correctly will get BRAINLIEST!!
Answer:
I think the answer will be weak positive
To hike a total of 11/6 miles, she would have to hike for____ days. To hike a total of 1/3 of a mile, she would have to hike for____ days.
To hike a total of 11/6 miles, she would have to hike for 11 days. To hike a total of 1/3 of a mile, she would have to hike for 2 days.
How to calculate days ?She hikes 1/6 a day, to get 11/6 , she would have to hike 11 days
to hike 1/3 of a mile
1/3 / 1/6 = 1/3 * 6/1 = 6/3 = 2
so she would have to hike 2 days
To hike a total of 11/6 miles of distance in 11 days, the person would have to hike an average of 11/6 / 11 = 11/66 miles per day.
To hike a total of 1/3 of a mile in 2 days, the person would have to hike an average of 1/3 / 2 = 1/6 miles per day.
Thus, to hike a total of 11/6 miles, the person would have to hike for 11 days, and to hike a total of 1/3 of a mile, the person would have to hike for 2 days.
To learn more about calculating days refer :
https://brainly.com/question/4592637
#SPJ1
a cookie packet contains 2 butter cookies and 4 choco chip cookies
how many cookies are there in 50 such packets?
a. 100
b. 200
c. 300
d. 400
Answer:
C) 300
Step-by-step explanation:
Butter cookies :-
2 x 50 = 100 cookies
Choco chip cookies
4x 100 = 200 cookies
Total cookies :-
100 + 200 = 300
I hope my answer helps you.
How do I solve this. Please explain your method.
Answer:
x > 90 > y
Step-by-step explanation:
You want to know the relationship of the central angles in a rectangle where the diagonals cross.
Angle relationsAssuming we can trust the figure (not always a good idea), we notice that x° is an obtuse angle and y° is an acute angle. (The angle opposite the longer side in this geometry will always be obtuse.)
This means ...
x° > 90°
90° > y°
The two angles form a linear pair, so their sum is 180°.
The correct description is ...
x > 90 > y
__
Additional comment
If the diagonals crossed at right angles, the rectangle would be a square.
(X+6)+(7x+4)+(2x)=180
Answer:
x = 17
Step-by-step explanation:
x + 6 + 7x + 4 + 2x = 180 Combine like terms
10x + 10 = 180 Subtract 10 from both sides
10x = 170 Divide both sides by 10
x = 17
x = 17
Step-by-step explanation:Here are the steps to figuring out your problem:1. Add the numbers
x + 6 + 7x + 4 + 2x = 180
x + 10 + 7x + 2x = 180
2. Combine like terms
x + 10 + 7x + 2x = 180
10x + 10 = 180
3. Subtract 10 from both sides
10x + 10 = 180
10x + 10 - 10 = 180 - 10
4. Simplify
Subtract the numbers:
10x + 10 - 10 = 180 - 10
10x = 180 - 10
Subtract the numbers:
10x = 180 - 10
10x = 170
5. Divide both sides by the same factor
10x = 170
[tex]\frac{10x}{10}[/tex] = [tex]\frac{170}{10}[/tex]
6. Simplify
Cancel terms that are in both the numerator and denominator:
[tex]\frac{10x}{10}[/tex] = [tex]\frac{170}{10}[/tex]
x = [tex]\frac{170}{10}[/tex]
Divide the numbers:
x = [tex]\frac{170}{10}[/tex]
x = 17
Solution:
x = 17
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
What does the slope of the line y = 2/3x + 5 represent? .) When x increases by 2, y increases by 3 b. When y increases by 2, x increases by 3 c. When x increases by 5, y increases by 1 d. When y increases by 5, x increases by 1
The slope of the line is 2/3. It represents: b. When y increases by 2, x increases by 3.
What is the Slope of a Line?The slope of a line can be described as the change in y over the change in x of the line, or the rise over its run.
The slope of a line is given as the value of "m", in the equation expressed in slope-intercept form as y = mx + b.
Given that a line has the equation, y = 2/3x + 5, in slope-intercept form, we can determine its slope (m), which is given as 2/3.
The value of m, which is 2/3, is the rise over the run of the line, which means that when the y value increases by 2, the x value increases by 3.
Therefore, the slope, m = 2/3 represents: b. When y increases by 2, x increases by 3.
Learn more about the slope of a line on:
https://brainly.com/question/16949303
#SPJ1
a rock dropped into a pond causes a circular wave of ripples whose radius increases at 4 inches per second. how fast is the area of the circle of ripples expanding at the instant that the radius of the circle is 24 inches?
The rate of change of Area of the circle of ripples when radius is 24 inches is 602.88 in²/sec .
In the question ,
it is given that ,
a rock dropped in pond causes a circular waves of ripples ,
the rate at which the radius is increasing (dr/dt) = 4 in/sec .
let the radius of the circular ripples is = r ,
the area of the circular ripples is ; A = πr² ,
differentiating Area with respect to time(t) is ,
dA/dt = π×2r×(dr/dt)
to find the rate of change of area when the radius of circle is 24 inches ;
substituting dr/dt = 4 and r = 24 ,
we get ,
dA/dt = π×2×24×4
= 192×3.14 .
= 602.88 in²/sec
Therefore , the rate of change of Area is = 602.88 in²/sec .
Learn more about Rate Of Change here
https://brainly.com/question/29804310
#SPJ4
Simplify: √64r8
O 87r²
O 87r4
O 32r²
O 32r4
[tex]8r^{4}[/tex]
Step-by-step explanation:√(64r^8) = √((8r^4)^2) = 8r^4
_____
You can make use of either or both of these rules of exponents:
(a^b)^c = a^(b·c) . . . . . used above
[tex]\sqrt[n]{a}[/tex] = a[tex]\fra {1}{n}[/tex]
Using the second rule, you can write the expression as ...
[tex]\sqrt{64r^8}[/tex] = [tex]\sqrt{64}[/tex] · [tex]r^8^*1/2[/tex] = [tex]8r^4[/tex]
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
I WILL GIVE BRAINLIEST The Cheese Spread restaurant makes a grilled cheese sandwich with 3 oz of Swiss cheese and 5 oz of cheddar cheese. Which table represents the description of the proportional relationship? Cheddar Cheese (oz) 3 1 0 Swiss Cheese (oz) 5 4 3 Cheddar Cheese (oz) 5 4 3 Swiss Cheese (oz) 3 1 0 Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15 Swiss Cheese (oz) 5 10 15 Cheddar Cheese (oz) 3 6 9
The table represents the description of the proportional relationship is Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Since the restaurant makes cheese sandwich with 3 oz of Swiss cheese and 5 oz of cheddar cheese.
Thus, the table that represents the proportional relationships will be the one that contains 3 oz of Swiss cheese with a corresponding value of 5 oz of cheddar cheese.
the constant of proportionality (k) must be the same (i.e. k = 5/3) for all the values.
Swiss Cheese (oz) 3 6 9
Cheddar Cheese (oz) 5 10 15
k = 5/3 = 10/6= 15/9 =5/3
Hence, the table represents the description of the proportional relationship is Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ1
or How do you write 2.12 × 101 in standard form?
214.12 in standard form .
What does a math standard form mean?
It is possible to express a number in a way that adheres to certain standards by writing it in its standard form.
Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.
What does standard form look like?
Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5. In order to better understand phenomena and make useful predictions, scientists can compare
the orders of magnitude of various quantities using standard form.
Learn more about Standard form
brainly.com/question/17264364
#SPJ1