The minor arc measures of circle Z are shown in the figure.
Circle Z is shown. Radii Z Y, Z X, Z W, Z V, Z U, and Z T are shown. The arc measure of Y X is 71 degrees, the arc measure of X W is 32 degrees, the arc measure of W V is 71 degrees, the arc measure of V U is 78 degrees, the arc measure of U T is 54 degrees, and the arc measure of T Y is 54 degrees.
Use the drop-down menus to complete each statement.
Answers
Answer:
Part 1) Option a. TZY
Part 2) Option c. YZX
Step-by-step explanation:
The question is as following and see the attached figure
The minor arc measures of circle Z are shown in the figure.
Use the drop-down menus to complete each statement.
1) Angle UZT is congruent to angle _____
2) Angle VZW is congruent to angle____
Answer choices
1) a. TZY, b. XZW, c. VZW
2) a. UZV, b. TZY, c. YZX
===============================================
Solution:
Part 1) Angle UZT is congruent to angle______
From the attached figure, we can deduce that:
∠UZT = 54°
∠TZY = 54°
So,
∠TZY = ∠UZT ⇒ both angles are congruent.
1. Angle UZT is congruent to angle TZY
===========================================
Part 2) Angle VZW is congruent to angle_____
From the attached figure, we can deduce that:
∠VZW = 71°
∠YZX = 71°
So,
∠YZX = ∠VZW ⇒ both angles are congruent
2. Angle VZW is congruent to angle YZX
Answer: correct answer is TZY for first one and YZX for second
Step-by-step explanation:
Just chose those and got it correct :)
Related Questions
A square wall has a surface area of 121ft? What is the length of the wall?
Answers
Ans 11ft
Step-by-step explanation:
Sq Area= length * length
Length=√area=√121=11
An architect uses a 3-D printer to create the scale model for a house that will be built. In the model the house is 53cm tall . The house will be 624 cm tall. The volume of the model is 0.8125 cubic meter. What is the volume of the house . (Note: 1 cubic meter = 1,000,000 cubic centimeters)
Answers
Answer:
The volume of the actual house is 1,324.94 cubic meters
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Height of the scale model = 53 cm
Height of the actual house = 624 cm
Scale of the model = 642/53 = 11.77
Volume of the scale model = 0.8125 cubic meters
2. What is the volume of the house?
For answering the question we have to find the width and the length of the model, then use the scale of the model for calculating the volume of the actual house, this way:
Volume of the scale model = 0.8125 cubic meters
Area of the scale model = Volume of the model/Height of the model
Area of the scale model = 0.8125/0.53
Area of the scale model = 1.533 square meters
Area of the scale model = Length * Width
Area of the scale model = 1.533 * 1
Now, we can calculate, the measurements of the house to calculate its volume:
Height of the actual house = 6.24 meters
Length of the actual house = 1.533 * 11.77 = 18.04 meters
Width of the actual house = 1 * 11.77 = 11.77 meters
Volume of the actual house = 6.24 * 18.04 * 11.77
Volume of the actual house = 1,324.94 cubic meters
Instructions:
Three of Carlos and Clarita's friends are purchasing school supplies at the bookstore. Stan buys a notebook, three packages of pencils, and two markers for $7.50. Jan buys two notebooks, six packages of pencils, and five markers for $15.50. Fran buys a notebook, two packages of pencils, and two markers for $6.25.
Question 1
Based on the information in the instructions, write a system of equations to model the situation. Let n represent the price of a notebook, p represent the price of a package of pencils, and m represent the price of a marker.
Question 2 How much does an individual notebook cost? Question 3 How much does a package of pencils cost? Question 4 How much does an individual marker cost?
Answers
Answer:
Notebook = $2.75
Pencil = $1.25
Markers = $ 0.50
Step-by-step explanation:
Stan:
n + 3p + 2m = 7.5
Jan:
2n + 6p + 5m = 15.50
Fran:
n + 2p + 2m = 6.25
Stan - Fran:
p = 1.25
Lets replace p with 1.25
n + 3(1.25) + 2m = 7.5
2n + 6(1.25) + 5m = 15.50
n + 2(1.25) + 2m = 6.25
Simplify
n + 3.75 + 2m = 7.5
2n + 7.5 + 5m = 15.50
n + 2.50 + 2m = 6.25
n + 2m = 3.75 stan
2n + 5m = 8 jan
n + 2m = 3.75 fran
stan = fran
jan - 2(stan)
m = 0.5
n = 2.75
If f ( x ) is a linear function, f ( − 2 ) = 0 , and f ( 4 ) = − 5 , find an equation for f ( x ) . f (x)=
Answers
Answer:
f(x).f(x) [tex]=\frac{25}{36} x^2 +\frac{25}{9}x+\frac{25}{9}[/tex]
Step-by-step explanation:
Given f(x) is a linear function.
Let f(x)= ax+c
given,f(-2)=0
∴a(-2)+c=0
⇔-2a +c=0
⇔c=2a ..........(1)
Again f(4) = -5
∴a.4+c=-5
⇔4a+c=5
⇔4a +2a=5 [∵ c= 2a]
⇔6a=5
⇔[tex]a=\frac{5}{6}[/tex]
Putting the value of a in equation (1)
[tex]c=2 \times \frac{5}{6}[/tex]
[tex]\Leftrightarrow c= \frac{5}{3}[/tex]
Therefore f(x) [tex]=\frac{5}{6} x+\frac{5}{3}[/tex]
f(x).f(x)
[tex]=(\frac{5}{6} x+\frac{5}{3})(\frac{5}{6} x+\frac{5}{3})[/tex]
[tex]=(\frac{5}{6} x+\frac{5}{3})^2[/tex]
[tex]=\frac{25}{36} x^2 +\frac{25}{9}x+\frac{25}{9}[/tex]
When rounded to the nearest thousand,
the number of pieces of trash collected
by the Beach Clean Up Crew was 8,000.
What numbers below could be the actual
number of pieces of trash collected?
A. 8,283
B. 8,507
C. 8,835
D. 7,582
E. 7,689
Please help me I have a fever and my brain isn't working.. If u do, I will give it as a brilliant answer.. Plus 20 points..
Answers
1. What is the unit price of shampoo if a
15-ounce bottle costs $2.79?
A. about $0.19 per ounce
B. about $0.29 per ounce
C. about $1.90 per ounce
D. about $5.38 per ounce
Answers
Hope this helps
A price decreased from 60$ to 45$ find the percent of decrease
Answers
would be a 25% decrease or .25
(PLEASE HELP THIS IS DUE IS 20 MINUTES, THERES ALSO TWO QUESTIONS)
1.) Micah has a garden. He constructs a scale model of the garden using the scale 1 inch: 2 feet. The garden has a length of 6 feet. What is the length of the garden in Micah’s model? (1 point show your work, 1 point correct answer)
2.)The figure on the left represents a scale drawing of the figure on the right. What is the scale? (2 pts. 1pt show work, 1 pt correct answer)
THE PICTURE IS FOR THE SECOND QUESTION
Answers
Answer:1. 3 inches
Step-by-step explanation:1 inch =2ft 2x3=6
To find the length of the garden in Micah's model, we need to set up a proportion using the given scale. The scale for the figure on the left to the figure on the right can be determined by comparing corresponding lengths.
Explanation:1.) To find the length of the garden in Micah's model, we need to use the scale 1 inch: 2 feet. Since the garden has a length of 6 feet, we can set up a proportion:
1 inch / 2 feet = x inches / 6 feet
Cross-multiplying, we get 2 feet * x inches = 1 inch * 6 feet
Simplifying, we have 2x inches = 6 inches, so x = 3 inches.
Therefore, the length of the garden in Micah's model is 3 inches.
2.) The scale of the figure on the left to the figure on the right can be determined by comparing the corresponding lengths. If we measure the lengths of a certain side of the left figure and the right figure, we can find the scale. For example, if the length of a side of the left figure is 2 cm, and the corresponding side on the right figure is 4 cm, the scale is 1 cm: 2 cm.
Therefore, the scale is 1 cm: 2 cm.
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If 10% of 60 is 6, what is 5% of 60?
Explain how you found your answer
Answers
Answer:
3
Step-by-step explanation:
If we already know that 10% of 60 is 6 and that 5% is one half of 10%, we can just divide the 10% value by two to find the 5% of 60.
Use row operations to solve the system
x + y – z = -2
4x – y + z = 7
X – 3y + 2z =-5
Answers
Answer:
(x, y, z) = (1, 12, 15)
Step-by-step explanation:
As with any set of linear equations, there are many possible routes to a solution. We might simplify the notation a bit by writing the coefficients in an augmented matrix. The columns, left to right, represent the coefficients of x, y, and z, in order, and the constant term.
The row operations we'll use are multiplying a row by a value and adding that result to another row, replacing the other row by the sum.
We can make things a little simpler by writing the second equation first. Then the augmented matrix we're starting with is ...
[tex]\left[\begin{array}{ccc|c}4&-1&1&7\\1&1&-1&-2\\1&-3&2&-5\end{array}\right][/tex]
Adding the second row to the first, we get ...
[tex]\left[\begin{array}{ccc|c}5&0&0&5\\1&1&-1&-2\\1&-3&2&-5\end{array}\right][/tex]
Dividing the first row by 5 gives ...
[tex]\left[\begin{array}{ccc|c}1&0&0&1\\1&1&-1&-2\\1&-3&2&-5\end{array}\right][/tex]
Subtracting this from the second row, and again from the third row, we are left with ...
[tex]\left[\begin{array}{ccc|c}1&0&0&1\\0&1&-1&-3\\0&-3&2&-6\end{array}\right][/tex]
Multiplying the second row by 3 and adding that to the third row, we get ...
[tex]\left[\begin{array}{ccc|c}1&0&0&1\\0&1&-1&-3\\0&0&-1&-15\end{array}\right][/tex]
Subtracting the third row from the second gives ...
[tex]\left[\begin{array}{ccc|c}1&0&0&1\\0&1&0&12\\0&0&-1&-15\end{array}\right][/tex]
Finally, multiplying the last row by -1, we have the solution:
[tex]\left[\begin{array}{ccc|c}1&0&0&1\\0&1&0&12\\0&0&1&15\end{array}\right][/tex]
This matrix corresponds to the equations ...
x = 1y = 12z = 15_____
The purpose of our choice of row operations is to make the diagonal elements 1 and the off-diagonal elements 0. That is how we end up with the final equations shown.
As we said, there are many ways to go about this. In general, one can ...
if necessary, swap rows until the diagonal term of interest is non-zero. If you are doing this using a computer program, generally you want the diagonal term to have the coefficient with the largest magnitude. When doing this by hand, you may want to arrange the rows to avoid fractions when you do the normalizing.divide the row by the coefficient of the diagonal element to "normalize" the diagonal element to a value of 1zero the other elements in that column by multiplying the row just normalized by the element in another row, then subtracting the product. (The 4th matrix shown above shows this for the first column.)proceed to the next diagonal element and repeat the process until all diagonal elements are 1. If you cannot make all diagonal elements 1, then the system of equations does not have a unique solution. If any row becomes all zeros, the system is "dependent" and has infinite solutions. If a row is zeros except for the rightmost column, the system is "inconsistent" and has no solutions.Based on the given triangle, the cosine of the 30 degree angle is:
P.S.
It is not 1/3 (third option)
Answers
Answer:
[tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
Remember SOHCAHTOA
The cosine of an angle in a right triangle is the adjacent sides length divided by the hypotenuses length
In this case, for the angle 30 degrees, the adjacent length is [tex]\sqrt{3}[/tex] and the hypotenuse's length is 2
So, the cosine of the 30 degree angle is the first option:
[tex]\frac{\sqrt{3} }{2}[/tex]
Solve n÷6>2. Graph the solution. The solution is?
please help!
Answers
Answer:
n>12
Step-by-step explanation:
n/6>2
n>2*6
n>12
The Graph of the inequality is shown below.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike 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.
We have the inequality,
n÷6>2
Multiply both side by 6 we get
(n ÷ 6 ) 6 > 2 x 6
n > 12.
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Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a. 1 and b.
1?
log,
logo
logna
logna
logo
log,
log,b
logo
logo
Save and
Next
Submit
Answers
Step-by-step explanation:
We have,
[tex]\log _{a}x[/tex]
To find, the value of [tex]\log _{a}x[/tex] = ?
∴ [tex]\log _{a}x[/tex] , where a, b and x are positive
a ≠ 1 and b ≠ 1
We know that,
The logarithm identity,
[tex]\log_{p}m=\dfrac{\log_{y}m}{\log_{y}p}[/tex]
∴ [tex]\log _{a}x[/tex] = [tex]\dfrac{\log_{b}x}{\log_{b}a}[/tex]
Where, b is the common base of logarithm
∴ The value of [tex]\log _{a}x[/tex] = [tex]\dfrac{\log_{b}x}{\log_{b}a}[/tex]
Thus, the required option A) [tex]\dfrac{\log_{b}x}{\log_{b}a}[/tex] is correct.
0 = 4x2+12x+9
Simplify the expression to solve the equation. x =
Answers
Answer:
-1.5
Step-by-step explanation:
The value of x is -3/2 or -1.5.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
4x²+12x+9 =0
Now, the solution for the expression is
4x²+12x+9 =0
4x²+6x+ 6x +9 =0
2x( 2x + 3)+ 3 (2x+ 3)= 0
(2x+ 3) (2x+ 3) = 0
x= -3/2, x= -3/2
Hence, the value of x is -3/2 or -1.5.
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What If? If Taryn and Alastair want to earn an additional $735 ear
additional hours will each spend mowing lawns? Assume each
sat the rate shown in the table and charges by the hour. Explain
many additional hours wil
mows a
Jarun
and
13. Multistep Tomas makes balloon sculptures at a circus. In 180 minutes.
he uses 252 balloons to make 36 identical balloon sculptures.
a. How many minutes does it take to make one balloon
sculpture? How many balloons are used in one sculpture?
minutes
Answers
5. How can you use the Distributive Property to
factor the expression 6x + 15?
Answers
Answer:
Divide it all by 3, then put it outside the parentheses.
3(2x+5)
Step-by-step explanation:
The requried factors of the given expression are given as 3[x + 5].
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
here,
The distributive property is given as,
a[b + c] = ab + bc
Now,
the given expression performing the distributive property in a way given as,
ab + bc = a[b + c]
Given expression,
= 6x + 15
= 3 × 2x + 3 × 5
= 3 [2x + 5]
Thus, the requried factors of the given expression are given as 3[x + 5].
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There is 200 tickets if 18 where purchased in advanced what percentage where purchased in advanced
Answers
Answer: 9%
Step-by-step explanation:
You can just divide 200 in half which gives you 100. And divide 18 in half which gives you 9. 9/100, and since 100 is the percent’s denominator (if percent were viewed in fraction), it would be 9.
1.125 divided by (3/4) (3/4) +6(14/3)
Answers
Can someone help me with the question in the image below
Answers
Answer:
x=8
Step-by-step explanation:
we know that
The diagonals of a parallelogram bisect each other. That means, each diagonal cuts the other into two equal parts.
so
[tex]5x=6x-8[/tex]
Solve for x
[tex]6x-5x=8\\x=8[/tex]
-37=x-9.9 , what’s the value of x ?
Answers
Answer:
x= 3.73737373737......
Step-by-step explanation:
To find x, divide -9.9 to both sides.
-37 = x-9.9
-9.9 -9.9
3.73737373737...= x
This is a repeating decimal.
Determine whether the statement is true of false and support your reasoning: Mr. Flores has 100 pictures in a photo album. Of these pictures, 20 show his friends, 50 show his family, and 30 show his pet dachshund, Frou-Frou. Based on this information, the probability of Mr. Flores randomly selecting a picture of Frou-Frou is greater than the probability of randomly selecting a picture of his family
Answers
So, the given statement is false.
Step-by-step explanation:
Given , Mr. Flores has 100 pictures in a photo album. Of these picture , 20 show his friends , 50 show his family and 30 show his pet dachshund.
Probability formula:
[tex]P(A)=\frac{\textrm{Number of favorable outcomes to A}}{\textrm {Total number of out comes}}[/tex]
Total number of out come = 100
Number of photo of his family = 50
Therefore the probability of Mr. Flores selecting a picture of his family is
[tex]=\frac{50}{100}[/tex] [tex]=\frac{1}{2}[/tex] [tex]= \frac{5}{10}[/tex]
The probability of Mr. Flores selecting a picture of his friend is [tex]=\frac{20}{100}[/tex] [tex]=\frac{1}{5} = \frac{2}{10}[/tex]
The probability of Mr. Flores selecting a picture of his pet dachshund [tex]=\frac{30}{100}[/tex] [tex]=\frac{3}{10}[/tex]
Since [tex]\frac{5}{10}>\frac{3}{10}>\frac{2}{10}[/tex]
Therefore the probability of Mr. Flores randomly selecting a picture of his family is greater than the probability of randomly selecting a picture Frou -Frou.
So, the given statement is false.
Which system of equations has no solutions...please help quick
Answers
For a system to have no solutions the lines must be parallel (they cannot intersect).
So the answer is the graph on the top right.
Answer: top right and bottom right
Step-by-step explanation:
For there to be a solution the lines have to cross at one time so when they are not touching there is no solution
Solve the equation 11x + 7 = 73?
Answers
Answer:
6
Step-by-step explanation:
11x + 7 = 73
- 7 - 7
11x = 66
divide 66 by 11 and you get 6
Answer:
x = 6
Step-by-step explanation:
Step 1: Subtract 7 from both sides
11x + 7 - 7 = 73 - 7
11x = 66
Step 2: Divide both sides by 11
11x = 66
11x / 11 = 66 / 11
x = 6
Answer: x = 6
What is the missing denominator in
the expression below?
Answers
Answer:
The denominator should be 3. Hope this helps.
A circle has a diameter of 7.6 feet. Which measurement is closest to the circumference of the circle in feet?
Answers
The circumference of the circle is 23.89 ft
The circumference of a circle is the distance around it and it can be calculated by the formula:
Circumference = π x diameter
The circumference is therefore:
= 22/7 x 7.6
= 167.2 / 7
= 23.89 feet
The option given that is closest to 23.89 ft is the right answer.
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PLEASE HELP TRYING TO MAKE HONOR ROLL
The sum of two numbers is 36. Their difference is 14. What are the two numbers?
A. -14 and 50
B. -11 and 47
C. 11 and 25
D. 14 and 22
Answers
Answer:
it is B. -11 and 47
Step-by-step explanation:
you have to take away 47 and 11 and it equals 36.
What is an equation of the line that passes through the point (3,6) and is parallel to the line 2x+3y=21
Answers
Answer: y= -2/3+8
Step-by-step explanation:
The graph shows the solution for which inequalities
Answers
Answer:
Option 3
Step-by-step explanation:
y is less than the y values on the red line and greater than the y values on the blue line.
Equation of the red line:
y-intercept is clearly 3
using (0,3) & (-2,2)
Slope = (y2-y1)/(x2-x1)
= (3-2)/(0-(-2)) = 1/2
y = (1/2)x + 3
Equation of the blue line:
y-intercept is clearly -2
Using (0,-2) & (1,1)
Slope = (1-(-2))/(1-0) = 3/1 = 3
y = 3x - 2
y < (1/2)x + 3 & y > 3x - 2
The graph shows the solution for the following inequalities; C. y ≥ 3x - 2 and y ≤ -1/2(x) + 3.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
[tex]y - y_1 = m(x - x_1)[/tex]
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope for the red line by using these points (2, 4) and (0, 3);
[tex]Slope(m)=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope (m) = (3 - 4)/(0 - 2)
Slope (m) = 1/2
At point (0, 3) and a slope of 1/2, an inequality for this line can be calculated by using the point-slope form as follows:
y - 3= 1/2(x - 0)
y = 1/2(x) + 3
y ≤ 1/2(x) + 3 (since the solid line is shaded below).
At point (0, -2) and a slope of 3, an inequality for this line can be calculated by using the point-slope form as follows:
y + 2= 1/2(x - 0)
y = 3(x) - 2
y ≥ 3x - 2 (since the solid line is shaded below).
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Steve had s songs on his music player.
He bought n new songs. What is the
dependent variable? Explain.
Answers
Answer: n since that number depends on s, the songs he already had.
Final answer:
The dependent variable in Steve's music player scenario is the total number of songs after buying new songs, represented by T = s + n. As the number of new songs purchased (n) changes, the total (T) changes, demonstrating a linear relationship between n and T.
Explanation:
In the scenario where Steve had s songs on his music player and he bought n new songs, the dependent variable is the total number of songs Steve has after the purchase. To define this in terms of a mathematical relationship, we can express the total number of songs (T) as an equation:
T = s + n
Here, s is the original number of songs, and n is the number of new songs purchased. The dependent variable is T (the total number of songs), which depends on the value of n (the number of songs bought). If we change the independent variable n, the total number of songs T will also change.
To illustrate this with a dataset, suppose Steve originally had 5 songs (s = 5). If he buys:
1 new song (n = 1), then T = 5 + 1 = 6 songs in total.3 new songs (n = 3), then T = 5 + 3 = 8 songs in total.5 new songs (n = 5), then T = 5 + 5 = 10 songs in total.The relationship between the number of new songs purchased (n) and the total number of songs (T) is linear, as T increases by the same amount that n does.
evaluate 15/k when k=3 ?
Answers
15/k
15/3
5
Hope this helps! ;)
Answer:
5
Step-by-step explanation:
Since k=3 you would put 3 under 15. Now the equation would look like this: 15/3 instead of 15/k. Then you would divide 15 by 3 which is 5.