Answer: 18, 28, 38, 48, 58
Step-by-step explanation:
Answer:
18, 28, 38, 48, 58
Step-by-step explanation:
I think this is pretty self explanatory.
Complete and show the following.
a ABCD is a rhombus and AC} is one of its diagonals.
Without assuming parallel sides, explain why Δs ABC and ADC are congruent.
b Deduce from a that ABCD is a parallelogram.
The evaluation of the rhombus ABCD and are as follows;
a. The sides of the Δs ABC and ADC are all congruent, therefore, ΔABC ≅ ΔADC by SSS
b. The opposite sides and opposite angles of ABCD are congruent, the adjacent angles are supplementary, therefore, ABCD is a parallelogram by its properties which defines a parallelogram
What is a rhombus?A rhombus is a quadrilateral that has four sides which are congruent and the opposite sides are parallel, therefore a rhombus is a special form of a parallelogram.
a. The specified details in the question are;
AB ≅ BC
AB ≅ AD
AB ≅ CD
Therefore; BC ≅ AD ≅ CD, by transitive property of congruency
AB = BC, AB = AD, AB = CD, BC = AD = CD, by definition of congruency
AC is congruent to AC by reflexive property of congruency, therefore;
ΔABC ≅ ΔADC by Side-Side-Side, SSS, congruency rule
b. ∠D ≅ ∠B by Corresponding Parts of Congruent Triangles are Congruent, CPCTC
∠DAC ≅ ∠DCA by base angles of an isosceles triangle, ΔADC
∠BAC ≅ ∠BCA by base angles of an isosceles triangle, ΔABC
∠DAC ≅ ∠BAC by CPCTC
∠DAC = ∠BAC by definition of congruency
∠DCA ≅ ∠BCA by CPCTC
∠DCA = ∠BCA, definition of congruency
∠DAB = ∠DAC + ∠BAC (Angle addition postulate)
∠DCB = ∠DCA + ∠BCA (Angle addition postulate)
∠DAC + ∠BAC = ∠DCA + ∠BCA substitution property
∠DAB = ∠DCB by substitution property
∠DAB ≅ ∠DCB definition of congruency
The opposite angles of the quadrilateral ABCD are congruent,
The opposite sides are congruent
∠D + ∠DCA + ∠DAC = 180° (angle sum property of a triangle)
∠D + ∠ADC + ∠BCA = 180° (substitution property)
Similarly;
∠B + ∠BAC + ∠DAC = 180°
Adjacent angles of the quadrilateral ABCD are supplementary, therefore;
Quadrilateral ABCD is a parallelogram, by the properties of a parallelogram
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Jayden has $7.69. His coach will give him $3.21 every mile he runs If he run 18 miles how much will he have
ASAP!!! HURRY!!
Answer:
Jayden will earn $3.21 x 18 = $<<3.21*18=57.78>>57.78 from running 18 miles.
So he will have $7.69 + $57.78 = $<<7.69+57.78=65.47>>65.47 in total.
Step-by-step explanation:
You have 99 cats and 77 dogs and 10998 horses what is the ratio of dogs to cats?
The ratio of dogs to cats is 7 to 9
How to determine the ratio of dogs to cats?From the question, we have the following parameters that can be used in our computation:
You have 99 cats and 77 dogs and 10998 horses
The ratio is represented as
Ratio = Dogs : Cats
Substitute the known values in the above equation, so, we have the following representation
Dogs : Cats = 77 : 99
Divide by 11
Dogs : Cats = 7 : 9
Hence, the ratio is 7 to 9
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Pls, answer the question below.
Answer:
-6 , 19 , 29
Step-by-step explanation:
range = output which is required
domain = input which are given -2,3,5
simply plot the value domain one by one in given equation
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The equation have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p
How to determine the equations that have the same solution?Given: 2.3p – 10.1 = 6.5p – 4 – 0.01p.
Using this given property, let's write the equation
We can subtract like terms (6.5p– 0.01p = 6.49p) to get:
2.3p – 10.1 = 6.5p – 0.01p – 4
2.3p – 10.1 = 6.49p – 4
Also, we can multiply both sides of the algebraic equation by 100:
(2.3p – 10.1) x 100 = (6.5p – 4 – 0.01p) x 100
230p – 1010 = 650p – 400 – p
Therefore, the equations have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p. The 2nd and 3rd options are the answers
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Mrs. Olson and Mrs. Alcorn went shopping together for spring break. Mrs. Olson bought six shirts and four pairs of shorts that cost her 106.80. Mrs. Alcorn bought 3 shirts and 3 pairs of shorts that cost her 68.85. How much does one shirt cost.
Answer:
One shirt costs $7.50.
One pair of shorts cost $15.45
Step-by-step explanation:
help please I need it
Answer:
x =5 units
Mark me as a brainiest
which point represents 2 1/3 -5/6 and -3 1/2 on the number line
Answer:
Provided at image
Step-by-step explanation:
Green dot = -3.5
Red dot = -5/6
Orange dot = 2.3
Since there are 5 lines between every 1 number, you can divide 100/6 to see the distance between the lines (16.6666) and plug in the points.
Need help ASAP due tomorrow!
Answer:
Step-by-step explanation:
m∠O = 118 because opposite angles of a parallelogram are equal
LNO forms a triangle and the sum of the interior angles of a triangle is 180.
To find m∠NLO:
22 + 118 + m∠NLO = 180
m∠NLO = 180 - 22 - 118 = 40
How to solve these problems?
The problems for production staff are solved as below.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
1. Knit
Number produced by 1 worker in a day = 50 pairs
Annual production goal = 780,000 pairs
Daily production goal = 780,000 / 260 = 3000 pairs
Production staff needed = 3000 / 50 = 60 workers
2. Tube
Number produced by 1 worker in a day = 40 pairs
Annual production goal = 946,400 pairs
Daily production goal = 946,400 / 260 = 3640 pairs
Production staff needed = 3640 / 40 = 91 workers
3. Athletic
Number produced by 1 worker in a day = 60 pairs
Annual production goal = 1,138,800 pairs
Daily production goal = 1,138,800 / 260 = 4380 pairs
Production staff needed = 4380 / 60 = 73 workers
4. Booties
Number produced by 1 worker in a day = 24 pairs
Annual production goal = 343,200 pairs
Daily production goal = 343,200 / 260 = 1320 pairs
Production staff needed = 1320 / 24 = 55 workers
5. Children's
Number produced by 1 worker in a day = 84 pairs
Annual production goal = 518,000 pairs
Daily production goal = 518000 / 260 = 1992.3 pairs
Production staff needed = 1992.3 / 84 = 23.7 workers
Hence the production staff needed has been solved.
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Equal letters represent equal digits, and different letters represent different digits, Find the 5-digit number ABCDE
Observing the given question, This is the problem of cryptarithmetic , Using the rules based on cryptarithmetics, The answer is 10890.
What do you mean by cryptarithmetic problem?Mathematical conundrums called cryptarithmetic problems use letters from the alphabet in place of the digits. Use the trial-and-error procedure while keeping in mind the aforementioned considerations to solve cryptarithmetic problems by replacing values for the letters. Depending on whether we have a carry from A+A or not, A can now either be 2 or 3. However, since E=2, A must be 3, and there is a carry as a result.
Why is cryptarithm important?Cryptarithm, a type of mathematical game where the object is to solve an arithmetic puzzle in which the numerical digits have been replaced with letters. Cryptarithm, a type of mathematical game where the object is to solve an arithmetic puzzle in which the numerical digits have been replaced with letters.
Applying cryptarithmetic rules,
First alphabets can't be zero and same digit can't be used for different alphabets.
we get, CBDE + ABAE = AEDCE as 9480+1410 = 10890
AEDCE = 10890.
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Factor f(x) = x² – 3x³ - 12x² + 54x - 40 with real coefficients given that 3-i is a zero of f(x).
f(x) = x² – 3x³ - 12x² +54x - 40 =
(x - 3 + i)(x² - 3x - 10) This means that 3 - i is a zero of f(x). This is because when f(3 - i) is evaluated, the result is 0. The factorization of f(x) shows that 3 - i is a zero of the function.
What is factorization?Factorization is the process of breaking a number or expression into its prime factors. This is done by expressing the number as a product of its prime factors. Factorization is a key concept in mathematics, particularly in algebra and number theory. Factorization can be used to simplify expressions and equations, and it is often used to solve problems involving divisibility and prime numbers. Factorization can also be used to find the greatest common divisor, least common multiple, and other properties of numbers.
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PLS HELP QUICK!!!!!!!!! 100 points.
The following is a list of movie tickets sold each day for 10 days. 7, 18, 23, 41, 34, 12, 48, 65, 57, 52 Which of the following intervals are appropriate to use when creating a histogram of the data?
A 0 – 9, 10 – 19, 20 – 29, 30 – 39, 40 – 50
B 0 – 14, 15 – 29, 30 – 44, 45 – 59, 60 – 74
C 0 – 15, 15 – 20, 20 – 35, 35 – 60, 60 – 75
D 0 – 20, 20 – 40, 40 – 60, 60 – 80
The interval that is the most appropriate for creating the histogram is: 0 – 9, 10 – 19, 20 – 29, 30 – 39, 40 – 50. Option A
How to find the best interval for the histogramIn order to get the best interval, we would have to check the distance that lies in the data from what the question has told us.
The tickets are sold each day for ten days. Hence we would have to look for the interval that lies between 10 days.
From the options we have here, option A is seen to lie between the distance of 10 days. 0 - 9 is 10 days e.t.c
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Answer:
0 – 14, 15 – 29, 30 – 44, 45 – 59, 60 – 74
Step-by-step explanation:
3. Which of the following expressions is best represented by the model below? 1000 1000 A. 3x1 10 B. 3x-2 0009 X -1 C. 3x6 D. 3x 8
Answer:
A I THINK
Step-by-step explanation:
Create pattern with the rule n x 2
Step-by-step explanation:
n×2=?
The n means 1 then. 1×2 series
1 × 2 = 2
What’s the correct answer answer asap for brainlist
Answer: Simile since as is used.
25. What must be the value of y below so that the line passing through the points (4,4) and (-3, y) has a slope of -2 ?
A. 18
B. 10
C. 2
D. -6
Answer:
A. 18
Step-by-step explanation:
............... .....k
It takes 4 oz. of cherry syrup, 4 oz. of grenadine, and 1
quart of white soda to make a batch of Shirley Temples.
To make them for a party, how much white soda would
you need to buy if you had a quart of cherry syrup and a
quart of grenadine?
Answer:
8 quarts of white soda
It costs $2.25 to rent bowling shoes. Each game costs $2.50. You have $12.25 in your pocket.
Write and solve an equation to find how many x games you can bowl.
Answer:
You can bowl up to 4 games.
Step-by-step explanation:
2.25 + 2.50x ≤ 12.25
Let x = the number of games you bowl
2.25 + 2.50x ≤ 12.25 Subtract 2.25 from both sides
2.25 - 2.25 + 2.50x ≤ 12.25 - 2.25
2.50x ≤ 10 Divide both sides by 2.50
[tex]\frac{2.50x}{2.50}[/tex] ≤ [tex]\frac{10}{2.50}[/tex]
x ≤ 4
The bearing of P from Q is 040°.
The bearing of R from Q is 124°.
QR = QP.
Work out the bearing of R from P.
The bearing of R from P is 172°.
What are bearing(angles)?The horizontal angle between an object's direction and either north or another object is known as a bearing or azimuth in navigation. You can specify the angle value in a number of different angular units, including degrees, mils, and grad.
The angle between the magnetic north and the absolute bearing
The angle between the craft's forward motion and the relative bearing.
Given The bearing of P from Q is 040°.
The bearing of R from Q is 124°.
QR = QP.
Bearing angles are 180 degrees different than forward-bearing angles. This difficulty can be resolved by combining these relations with the standard angle sum relation for triangles.
Angle PQR will be the difference in the bearings from Q to P and Q to R:
∠PQR = 124° -40° = 84°
Triangle PQR is isosceles, so the base angle at P will be ...
∠QPR = (180° - 84°)/2 = 48°
The bearing from P to R will be 48° less than the bearing from P to Q. The bearing from P to Q is 180° more than the bearing from Q to P.
PR bearing = PQ bearing - ∠QPR
= PQ bearing - 48°
= (40° +180°) - 48° = 172°
Hence, The bearing of R from P is 172°.
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what is 3.2 times 3.2 to the second power to the fourth power to all
The value of 3.2 times 3.2 to the second power to the fourth power to all is [tex](3.2)^{12}[/tex].
What is exponent?The amount of times a number has been multiplied by itself is shown by its exponent.
3.2 to the second power is represented as [tex](3.2)^2[/tex].
3.2 times 3.2 to the second power, thus, is represented as:
[tex](3.2) (3.2)^2[/tex]
Since, the base is similar, the powers can be added:
[tex](3.2)^{1+2}\\\\(3.2)^3[/tex]
Now, the fourth power to all is represented as:
[tex]((3.2)^3))^4\\[/tex]
Using the rule of exponents [tex]((a^m))^n = a^{mn}[/tex] we have:
[tex](3.2)^{3*4}\\\\(3.2)^{12}[/tex]
Hence, the value of 3.2 times 3.2 to the second power to the fourth power to all is [tex](3.2)^{12}[/tex].
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Approximate fx(1,3) using the contour diagram of f(x,y) shown below.
fₓ (1,3) ≈
Considering the contour diagram, fₓ (1, 3) is traced to be 10
What are contour maps?A contour line for a function of two variables, more generally speaking, a curve that connects places where the function has the same specific value.
A topographic map, for example, which displays valleys, hills, and the steepness or gentleness of slopes, is an example of a map with contour lines.
The elevation difference between successive contour lines is known as the contour interval in a contour map.
Using the map provided point (1, 3) is traced to the contour line that has the mark of 10
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if 1,100 completely satisfied 740 somewhat satisfied 160 not satisfied what percent of the people surveyed were completely satisfied with the car?
The answer would be 55% because if you add 1,100 740 and 160 you get 2000 which means that 2000 people were surveyed then you'll do 1,100 by 200 and get 55 and that's your percent.
The percentage of the people surveyed who were completely satisfied with the car was 55 %.
How to find the percentage ?To find the percentage of people surveyed who were completely satisfied with the car, you first need to find the number of people who were survyed. This can be found by adding up all the number of people who participated in the survey :
= 1, 100 + 740 + 160
= 2, 000 people
The percentage of the people surveyed who were completely satisfied with the car is therefore:
= People completely satisfied / Number of people who participated x 100 %
= 1, 100 / 2, 000 x 100 %
= 55 %
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what is the slope of line that passes through points (-2,7) and (-3,3)
Considering the expression of a line, the slope of line that passes through points (-2,7) and (-3,3) is 4.
What is a linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are the variables.m is the slope.b is the ordinate to the origin and represents the y-intercept of the line.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m can be calculated as:
m= (y₂ - y₁)÷ (x₂ - x₁)
Slope in this caseIn this case, being (x₁, y₁)= (-2, 7) and (x₂, y₂)= (-3, 3), the slope can be calculated as:
m= (3 -7)÷ (-3 -(-2))
m= (3 -7)÷ (-3 +2)
m= (-4)÷ (-1)
m= 4
Finally, the slope is 4.
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(Score for Question 2:
of 6 points)
2. One-half of the fudge at the fudge shop on Monday morning contain nuts. Helena works at the fudge shop
and prepares 10 pounds of fudge containing walnuts to fulfill a special order Monday afternoon. With this
additional amount of fudge, there are at least 24 pounds of fudge containing nuts at the fudge shop on
Monday.
(a) Write an inequality that represents the scenario. Begin by defining your variable.
(b) Solve the inequality. Show your work.
(c) Fudge is packaged into 1-pound boxes. What is the fewest number of boxes of fudge at the fudge
shop Monday moming? Show your work.
Answer:
a) The inequality that represents the scenario is 10 + x ≥ 24.
b) The solution of the inequality is x ≥ 14.
c) The fewest number of boxes of fudge at the fudge shop Monday morning is 14.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
a) Let x denote the amount of fudge at the shop.
Helena prepares 10 pounds of fudge containing nuts.
The Inequality can be
10 + x ≥ 24
b) The inequality can be solved as
10 + x ≥ 24
x ≥ 24 -10
x ≥ 14
c) The fewest number of boxes would be almost 14 boxes.
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What is the solution to the system of equations x-y=-1 and x-3y=-13?
why did you choose this answer?
Answer:
(5,6)
Step-by-step explanation:
x -y = -1
x - 3y = -13 ⇒ multiply through by -1 ⇒ -x + 3y = 13 Add this to the first equation
-x + 3y = 13
x - y = -1
2y = 12 Divide both sides by 2
y = 6
To find y substitute 6 for y in the equation x - y = -1
x - 6 = -1 Add 6 to both sides
x = 5
(5,6)
C Dax packs cans into boxes.
He fits eight rows of five
cans into the bottom of
each box, and a second
layer of cans on top. How
many cans are in each
box?
The number of cans in each box is 80.
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,
Number of rows in each layer = 8
Number of cans in each row = 5
Number of layers = 2
The total number of cans.
= Cans x Rows x Layer
= 5 x 8 x 2
= 40 x 2
= 80
Thus,
There are 80 cans in each box
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Previous 5
2023 F
5
Graphing Polynomial Functions: Mastery Test
Select the correct answer.
Identify the end behavior and the zeros of function h.
h(z) = -³ 92² + 4x + 96
Based on these key features, which statement is true about the graph representing function h?
The graph is positive on the intervals (-8, -4) and (3, 0o).
The graph is negative on the intervals (-oo, -8) and (-4, 3).
O C. The graph is positive on the intervals (-00, -8) and (-4, 3).
OD. The graph is negative on the intervals (-3, 4) and (8,00).
OA.
OB.
Reset
Next
According to the end behavior of the function h(z) = 5x³-9x²+4x+96, the graph is positive on the intervals (-∞, -8) and (-4, 3).
What is a polynomial function?
In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.
The given polynomial function is -
h(z) = 5x³-9x²+4x+96
The end behavior of a function f(x) describes the behavior of the function as x approaches +∞, and as x approaches -∞.
Domain of function h(z) = -∞<x<∞
The end behavior of the function h(z) is -
lim x→∞, (5x³-9x²+4x+96) = ∞
as x→∞, h(z)→∞
lim x→-∞, (5x³-9x²+4x+96) = -∞
as x→-∞, h(z)→-∞
Therefore, the graph is positive on the intervals (-∞, -8) and (-4, 3).
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Which is the graph of y = 3^√x+1-2?
The graph of the function y = ∛(x +1 ) - 2 is represented by the graph represented by option 1.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
The graph of the function y = ∛(x +1 ) - 2 is attached with the answer below,
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Cmonnn I will give Brainly just be quick plssss
Answer:
D) 7----------------------------------
Solve the equation:
-3 - (- 8) - (- 2) = x-3 + 8 + 2 = x-3 + 10 = x10 - 3 = x7 = xx = 7Answer:
[tex] \sf \: d) \: x = 7[/tex]
Step-by-step explanation:
Given equation,
→ -3 - (-8) - (-2) = x
Now the value of x will be,
→ -3 - (-8) - (-2) = x
→ x = -3 - (-8) - (-2)
→ x = -3 + 8 + 2
→ x = 5 + 2
→ [ x = 7 ]
Hence, the value of x is 7.
