Answer:
X=55°
W=125°
Z=55°
Step-by-step explanation:
hope this helps you
The angle measures of Parallelogram W X Y Z is ∠W = ∠Y = 125° and ∠X = ∠Z = 55°
What is a parallelogram?
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel. Opposite angles are equal and consecutive angles are supplementary.
Figure WXYZ is a parallelogram. ∠Y = 125°, hence:
∠W = ∠Y = 125° (opposite angles)
∠X + ∠Y = 180(consecutive angles)
∠X + 125 = 180
∠X = 55°
∠X = ∠Z = 55° (opposite angles)
The angle measures of Parallelogram W X Y Z is ∠W = ∠Y = 125° and ∠X = ∠Z = 55°
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Twenty-seven minus 3/2 of a number (x) os not mpre than 36. What is the number?
Answer:
-6
Step-by-step explanation:
27-3/2x=36
53-3x=72
3x=-18
x=-6
2 What is the sum of 5x2 + 3x - 7 and 12x + 12? A. 5x2 + 15x + 5 B. 5x2 + 15x + 19 C. 17x2 + 3x + 5 D, 17x2 + 15x + 12 4 E. 20x" + 5
Consider the following natural language sentence: If you see a penny, pick it up, all day long you'll have good luck. Which answer is a translation of this natural language sentence into formal logic? a.) S = You see a penny. P = You pick the penny up. G = All day long you'll have good luck. (SAP) ➡ G
The translation "If you see a penny, pick it up, all day long you'll have good luck" is represented as (SAP) ➡ G in formal logic.
In formal logic, we often use symbolic notation to represent statements and their logical relationships.
In this case, the natural language sentence is being translated into formal logic using symbolic variables and logical connectives.
The translation provided uses three variables:
S represents the statement "You see a penny."
P represents the statement "You pick the penny up."
G represents the statement "All day long you'll have good luck."
The arrow (➡) is a logical connective that represents implication.
It signifies that the statement on the left side of the arrow (SAP) implies the statement on the right side (G).
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how many pattern blocks rhombuses would 4 triangles create
Four triangles can create a set of pattern blocks that includes a total of four rhombuses.
To understand why, it's essential first to understand what pattern blocks are. Pattern blocks are shapes that are commonly used in early childhood education to teach math concepts like geometry, spatial reasoning, and fractions. They come in different shapes, including triangles, squares, hexagons, trapezoids, and rhombuses.
To create a set of pattern blocks using triangles, one can use four equilateral triangles with the same side length. When these triangles are arranged together, they form a larger equilateral triangle, as each external side of each small triangle connects to a side of another triangle. This larger equilateral triangle can then be divided into four smaller rhombuses by using two diagonals (lines connecting opposite corners) to form a "X" shape. Each of these four smaller rhombuses is made up of two adjacent triangles and forms a diamond shape. Therefore, it can be said that four equilateral triangles can form a set of four rhombuses within an equilateral triangle pattern block set.
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Can someone help me with this problem?
7. Radius of circle P = 2 Radius of circle Q = 1
Coordinates of the point of tangency (4,2)
The equation of the tangency line is x = 4
8. AB is not a tangent. BC² ≠ AB² + AC²
9. The three radii of the circle are; CB, CF and CD
A diameter of the circle is BD
A tangent of the circle is GE
A chord of the circle is BD
A secant of the circle is AD
A point of tangency is F
How do we find the radius of a circle?
7. To find the radius, identify the diameter of the circle. For the diagram, it can be said that the diameter of the circle P is 4.
The radius then is 4/2 = 2.
The radius of circle q is 2/2 = 1
You could also use the formula
Distance = sqrt((x2 - x1)² + (y2 - y1)²)
8. √4² + √12² = √160
√13 = 169
Therefore AB is not tangent. It is less than BC
9. The line that cuts the circle into two halves is the diameter. The lines than further cuts the diameter into equal parts are the radii's
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As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 56 Second number: 57
We're asked to find a number x such that by being multiplied by 36 becomes 57, so we need
\(\begin{gathered} 56x=57 \\ x=\frac{57}{56} \end{gathered}\)then
\(56(\frac{57}{56})=57\)Kelly bought Mason’s home for $255,500. Mason had prepaid the annual property taxes of $2,650. If closing costs are calculated on a 365-day year, and the transaction closes on March 5, how much will Kelly owe Mason for property taxes? Carry numbers out four decimal places, but round to two decimal places for your final answer. The proration is calculated up to the day of closing, meaning that the buyer owns the day of closing. Be sure to include the last day of the year in your calculations.
Answer:
$2192.60
Step-by-step explanation:
March 4 is day 63 of the year. So, the amount of tax that Kelly needs to refund to Mason is the tax for the remaining 365 -63 = 302 days of the year.
Kelly will owe Mason ...
(302/365)($2650) = $2192.6027 ≈ $2192.60
Ingrid earned a commission of $5,125 on sales of $88,000. What rate of commission was she paid? Round your answer to one decimal place.
Answer: 5.8%
Step-by-step explanation: .
Recipe for fruit punch orange juice 6 cups pineapple juice 3 cups cranberry juice one cup Felicia has 32 fluid ounces of pineapple juice does she have enough pineapple juice to make one recipe?
PART- A
A-Yes she has just enough pineapple juice.
B-yes she has more than enough pineapple juice.
C- No she needs 8 more fluid ounces of pineapple juice.
D- No she needs 16 more fluid ounces of pineapple juice.
PART B- Jared also wants to make fruit punch. He has 8 pints of each Orange juice, pineapple juice, and cranberry juice. Which of the following are true…
A- he doesn’t have enough of each type of juice to make 1 recipe.
B- He has enough of each type of juice to make 1 recipe.
C- he has enough of each type of juice to make 2 recipes.
D- he has enough of each type of juice to make 3 recipes.
The statement which is true is he has enough of each type of juice to make 1 recipe, the correct option is B.
We are given that;
Orange juice cup= 6
Pineapple juice cup=3
Now,
PART A: To answer this question, we need to convert the units of measurement to be consistent. The recipe uses cups as the unit of measurement, while Felicia has pineapple juice in fluid ounces. We can use the fact that 1 cup = 8 fluid ounces to convert Felicia’s amount of pineapple juice to cups:
32 fluid ounces = 32 / 8 cups = 4 cups
The recipe requires 3 cups of pineapple juice, so Felicia has more than enough pineapple juice. The correct answer is B.
PART B: we need to convert the units of measurement to be consistent. The recipe uses cups as the unit of measurement, while Jared has each type of juice in pints. We can use the fact that 1 pint = 2 cups to convert Jared’s amounts of juice to cups:
8 pints = 8 * 2 cups = 16 cups
Jared has 16 cups of each type of juice. The recipe requires 6 cups of orange juice, 3 cups of pineapple juice, and 1 cup of cranberry juice. This adds up to 10 cups of juice for one recipe. So, Jared has enough of each type of juice to make one recipe and have some left over. However, he does not have enough of each type of juice to make two recipes, since that would require 20 cups of juice in total. T
Therefore, by unitary method the answer will be He has enough of each type of juice to make 1 recipe.
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what best describes the expression 9(x +7)
Answer:
9x + 63
Step-by-step explanation:
9 x X = 9x
9 x 7 = 63
9x + 63
the total price of the dinner including tax is $37.26.the sales tax rate is 8%. how much did the dinner cost not including sales tax HELP PLSS
A 13.75
B 75.00
C 83.75
D 139.28
The required cost of the dinner not including sales tax was $34.28.
What is sale tax?A sales tax is a fee that is paid to the government when specified goods and services are sold. Typically, laws permit the vendor to charge the customer the tax at the time of purchase. Use taxes are typically used to describe taxes on goods and services that consumers pay directly to a governing authority.
According to question:
To find out how much the dinner cost before sales tax, we need to subtract the sales tax amount from the total cost.
We know that the sales tax rate is 8%. To find the sales tax amount, we can multiply the total cost by 8% (or 0.08):
Sales tax = 0.08 * $37.26 = $2.98
To find the cost of the dinner before sales tax, we can subtract the sales tax amount from the total cost:
Cost before sales tax = $37.26 - $2.98 = $34.28
Therefore, the cost of the dinner not including sales tax was $34.28.
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Asif, Curtly and Barbara share some money.
Asif receives 3/8 of the money.
Barbara receives 1/3 of the money.
What fraction of the money does Curtly receive?
The fraction of money receive by Curtly is 7/24.
What is defined as the fraction?Fractions are defined as an arithmetical value that represents a portion of a whole. A fraction is a fraction or section of any quantity taken from the whole, which can be the certain number, a specific value, or even a thing.Every fraction has a numerator as well as a denominator kept separate by a horizontal bar recognized as the fractional bar.For the given values in question;
Fraction of money received by Asif = 3/8.
Fraction of money received by Barbara = 1/3
The total sum will be 1.
Then, fraction of money received by Curtly is;
1 - 3/8 - 1/3
Taking LCM;
(24 - 8 - 9) /24
7/24
Thus, the fraction of money received by Curtly is 7/24.
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A certain disease has an incidence rate of 0.3%. If the false negative rate is 6% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease.
The probability that a person who tests positive actually has the disease is 0.006%
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Incidence rate = 0.3%False negative rate = 6%False positive rate = 2%The probability that a person who tests positive actually has the disease is represented as
Probability = Incidence rate * False positive rate
Substitute the known values in the above equation, so, we have the following representation
Probability = 0.3% * 2%
Evaluate the products
Probability = 0.006%
Hence, the probability is 0.006%
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PLEASE HELP! A) 2.9 B) 9.2 C) 3.3 D) 5
Answer:
9.2 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 57 = x/6
6 tan 57 = x
9.239189783 = x
9.2 =x
Answer:
x = 9.2
Step-by-step explanation:
Step 1: Find out what primary trigonometry ratio is needed
The give us the adjacent and the angle. We need to find the opposite value so we will use tangent
Step 2: Plug in information and solve
\(tan(57)=\frac{x}{6} \\x=6tan(57)\\x=9.239\)
Therefore x= 9.2
A pet store increases the price of a bag of dog food by 5%
If the increase in price is $2.00, what is the new price for dog food?
Answer:
$42.00
Step-by-step explanation:
We can represent the given information as a ratio:
% of original price : price
5% : $2.00
Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.
5% : $2.00
↓ × 20 ↓ × 20
100% : $40.00
Now that we know the original price, we can add $2.00 to get the new price.
$40.00 + $2.00 = $42.00
Help please!!! Will mark brainliest!!
A student was asked to solve for √x = -1. Is the student correct?
√x = -1
(√x)² = (-1)²
x = 1
(a) Yes, because x = 1 is the only real solution.
(b) Yes, because x has infinitely many solutions.
(c) No, because x is a complex number.
(d) No, because there is no solution for x.
Write a conclusion based on your answer.
Answer:
D
Step-by-step explanation:
the end result of a radical can never be negative unless the negative sign shows outside of the radical
At a recent frog jumping contest, the winning frog jumped 21 1/4 feet. The second place frog jumped 20 1/2 feet. How much farther did the first place frog jump?
Quadratic Equations and Complex Numbers
please give a clear answer, thank you <3
The result of the given terms is -2/5 as per the given question from complex numbers.
What is a complex number?There is a multiplicative inverse for every nonzero complex number. As a result, complex numbers are a field with real numbers as a subfield. The complex numbers also form a two-dimensional real vector space with 1, I as the standard basis.
Because of this standard basis, the complex numbers form a Cartesian plane known as the complex plane. This allows for a geometric interpretation of complex numbers and operations, as well as the expression of geometric features and constructions in terms of complex numbers. Real numbers, for example, constitute the real line, which corresponds to the complex plane's horizontal axis.
=(((3/5)+(1/5)i)+((4/5)-(2/5)i) -((9/5)-(1/5)i))
=((3/5)+(4/5)-(9/5))-i((1/5)+i((1/5)-(2/5)+(1/5))
=(-2/5)+i(0)
= -2/5
Therefore, the result of the given terms is -2/5
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In the diagram, JK = LM = 24, NP= 3x, and NQ = 7x- 12. Find the radius of ON.
Answer
The radius of the circle is 15
EXPLANATION
Problem Statement
The question gives us a circle with two chords LM and JK that are equal in length and line segments NQ = 7x - 12 and NP = 3x. We are asked to find the radius of the circle.
Solution
- We have chord LM intersecting with line NQ at a right angle and chord JK intersecting with line NP at a right angle as well. This means we can apply the Chord and line segment theorem.
- This theorem states that "If a chord intersects a line drawn from the center of the circle, at a right angle, then the line bisects the chord into two equal parts."
- The implication of this theorem is that:
\(\begin{gathered} \text{ Implication 1:} \\ LQ=QM \\ \\ \text{ Implication 2:} \\ LQ+QM=LM \\ \text{ Since }LQ=QM \\ 2LQ=LM \\ \therefore LQ=QM=\frac{LM}{2} \\ \\ \text{But we know that }LM=24 \\ \therefore LQ=QM=\frac{24}{2}=12 \end{gathered}\)- The same theorem can be applied to line NP and chord JK. And we shall reach similar conclusions. That is:
\(\begin{gathered} \text{ Implication 1:} \\ JP=PK \\ \\ \text{ Implication 2:} \\ JP=PK=\frac{JK}{2}=\frac{24}{2} \\ JP=PK=12 \end{gathered}\)- We can redraw the circle to get a better understanding as shown below:
- Observe that NLQ and NJP form right-angle triangles. The hypotenuse of both triangles is indicated as r, which is also the radius of the circle. This means that we can apply the Pythagoras' theorem.
\(\begin{gathered} \text{ Triangle NLQ:} \\ NQ^2+LQ^2=LN^2 \\ NQ=7x-12 \\ LQ=12 \\ LN=r \\ \\ \therefore(7x-12)^2+12^2=r^2\text{ (Equation 1)} \\ \\ \\ \text{ Triangle NJP:} \\ JP^2+NP^2=JN^2 \\ NP=3x \\ JP=12 \\ JN=r \\ \\ \therefore(3x)^2+12^2=r^2\text{ (Equation 1)} \end{gathered}\)- Notice that the two equations above, equate to r-squared. This means that they are equal to each other. When we equate them, we can get the value of x.
\(\begin{gathered} (7x-12)^2+12^2=r^2 \\ (3x)^2+12^2=r^2 \\ \\ \therefore(7x-12)^2+12^2=(3x)^2+12^2 \\ \text{Subtract }12^2\text{ from both sides} \\ (7x-12)^2=(3x)^2 \\ \text{Take the squre root of both sides} \\ \sqrt[]{(7x-12)^2}=\sqrt[]{(3x)^2^{}} \\ \\ 7x-12=3x \\ \text{subtract 3x from both sides and add 12 to both sides} \\ 7x-3x=12 \\ 4x=12 \\ \text{Divide both sides by 4} \\ \frac{4x}{4}=\frac{12}{4} \\ \\ \therefore x=3 \end{gathered}\)- Now that we have the value of x, we can find the value of the radius (r) using any of the two equations from above.
- The value of radius (r) is gotten as follows:
\(\begin{gathered} (3x)^2+12^2=r^2 \\ x=3 \\ (3\times3)^2+12^2=r^2 \\ 9^2+12^2=r^2 \\ 81+144=r^2 \\ r^2=225 \\ \text{Take the square root of both sides} \\ r=15 \end{gathered}\)
Final Answer
The radius of the circle is 15
-
I need help I just don't understand
Answer: 9/7 or -5/2
Step-by-step explanation:
We can only factorise quadratics if they're in the format ax^2 + bx + c
Re-arranging the equation gives 14x^2 + 17x - 45 = 0
Factorising this quadratic gives:
(7x - 9)(2x + 5) = 0
There are numerous ways to factorise quadratics, using a calculator or via alternate methods you may have learnt in class. (E.g. 2 numbers multiply to make (14 * -45) and add up to make (17).
This gives us our solutions.
x = 9/7 or x = -5/2
Answer:
See below.
Step-by-step explanation:
First, move all the terms to one side so we have only a zero on the right:
\(6x^2-17x+13=20x^2-32\\-14x^2-17x+45=0\\14x^2+17x-45=0\)
(I divided everything by negative 1 in the third step. This is optional, but I like having the first term positive.)
Now, we just need to factor it. To factor, what you want to do is find two numbers a and b such that:
When a and b is multiplied together, they equal the first coefficient and constant multiplied together.
And when a and b is added together, they equal the second term.
In other words, we want to find two numbers that when multiplied equals 14(-45)=-630 and when added equals 17. Then, we can substitute this into the 17. You do this by guessing and checking. It's useful to have a calculator.
After a bit, you can find that 35 and -18 works. Thus:
\(14x^2+17x-45=0\\14x^2+35x-18x-45=0\\7x(2x+5)-9(2x+5)=0\\(7x-9)(2x+5)=0\)
Now, the finish the problem, we just need to use the Zero Product Property and solve for x:
\(2x+5=0\\x=-5/2\\\\7x-9=0\\x=9/7\)
Note: This only works for quadratics.
Which is the better definition of line of best fit?
A line of best fit guides a line through a scatter plot of data points that best describes the association between those points.
What is line of best fit?
A line of best fit guides a line through a scatter plot of data points that best describes the association between those points. Statisticians typically utilize the least squares approach to arrive at the geometric equation for the line, either through manual computations or regression analysis software.
A line of best fit can be approximately specified utilizing an eyeball the method by marking a straight line on a scatter plot so that the numeral of points above the line and below the line stands about equal (and the line passes via as many points as possible).
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Jane bought 6 boxes of beads. She used 14 of it to make face mask holders and also gave 12 of the boxes to her sister. How many boxes of beads were left?
Jane has 6 - 14 - 12 = -20 boxes of beads left.
Jane initially had 6 boxes of beads.
She used 14 of those boxes to make face mask holders and gave 12 boxes to her sister.
To find out how many boxes of beads she has left, we need to subtract the boxes used and given away from the initial number.
First, let's calculate the total number of boxes used and given away:
Total boxes used and given away = Boxes used for face mask holders + Boxes given to sister
Total boxes used and given away = 14 + 12
Total boxes used and given away = 26
Next, we can subtract the total boxes used and given away from the initial number of boxes Jane had:
Boxes left = Initial number of boxes - Total boxes used and given away
Boxes left = 6 - 26
Boxes left = -20
The result is -20, which implies that Jane has a deficit of 20 boxes of beads.
This means she doesn't have any boxes of beads left; she has a shortage of 20 boxes based on the activities she performed.
It's important to note that having a negative value indicates that Jane doesn't have enough boxes to fulfill her activities.
If the result were positive, it would represent the number of boxes remaining.
However, in this case, Jane has used and given away more boxes than she initially had, resulting in a negative value.
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A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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8m/3 if m = 12
Evaluate
Jennifer started a lawn mowing business and borrowed $85 to buy materials. Nicholas started a babysitting business and borrowed $60 to buy materials. Which statement correctly shows who has the greater debt?
Answer:
Jennifer because she would make less but spent more on supplies
Step-by-step explanation:
Answer: The answer is D! Jennifer, |-85| > |-60|
Step-by-step explanation: I did the quiz hope everyone does great ^^
help plssI CANTFAIL OR ELSE I GET EXPELLED
Based on the dimensions of the parallelogram, it can be concluded its area would be 84 square meters.
How to calculate the area of a parallelogram?The area of a parallelogram can be calculated using the following formula:
Area = base x height
This formula is the same that you would use for calculating the area of a rectangle due to the similarities between these two shapes. Now, let's use the formula to know the area:
Area = 12 meters x 7 meters
Area = 84 square meters
This means the total area is 84 square meters.
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How do I solve for this?
Answer: \(cosx =- \sqrt{ 1 - sin^2x}\)
Step-by-step explanation:
Generally speaking; \(cos^2x + sin^2x = 1\)
rearranging this gives us all sorts of cool things.
for now, we will use: \(cosx = \sqrt{ 1 - sin^2x}\)
This however, is general.
In the third quadrant, cosine is negative. So cosx in QIII will be:
\(cosx =- \sqrt{ 1 - sin^2x}\)
and thats the answer :)
Show what a monomial expression looks like
Give me a monomial expression and solve it, step-by-step, thoroughly, show your work and explain with each step how your doing it
(New to this, thanks in advance for the extra help!!!)
Answer:
Refer to the step-by-step explanation.
Step-by-step explanation:
Come up with a monomial expression and solve it.
What is a monomial expression?A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.
Here are a few examples of an monomial expression:
5x-2xy²3a⁵7m³n²\(\hrulefill\)
Let's work with the monomial expression, 3x²y³z.
To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.
Plug these values into the expression:
3x²y³z
=> 3(3)²(2)³(1)
=> 3(9)(8)(1)
=> 27(8)(1)
=> 216(1)
=> 216
Thus, the expression is solved.
write 6 x 10^4 in standard form write 2.3 x 10^3 in standard form
Answer:
6 x 10^4 =60000 witch is just 6,0000 if u want to go further it would be 60000+0000+000+00+0 but i wouldn't advise that
2.3 x 10^3 =2300 witch would be 2,000+300 thats it
HOPED THIS HELP (let me know if it did) :) ;)
if x+y=7/10 and x-y=5/14 then x^2-y^2=?
Add both
2x=1x=1/2=0.5Put in first one
y=0.7-0.5y=0.2Find
x²+y²(0.5)²+(0.2)²0.25+0.040.29