Given O below, if XY and YZ are congruent, what is the measure of chord XY
Answers
Answer:
B. 10.2
Step-by-step explanation:
Answer : The value of chord XY is, 10.2 units
Step-by-step explanation :
As we are given that, XY and YZ are congruent.
XY and YZ are congruent by SSA.
The ΔXOY and ΔZOY are congruent triangles.
Side OX = Side OZ (side)
Side OY = Side OY (common side)
∠XOY = ∠ZOY (angle)
That means, in this two sides and one angle of a triangle are equal to another triangle then the triangles are congruent.
So, Side XY = Side YZ
As we are given :
Chord YZ = 10.2
So, Chord YZ = Chord XY = 10.2
Hence, the value of chord XY is, 10.2 units
Related Questions
A scale has a percent error of 5%. The actual mass of a rock is 258 g.
Select from the drop-down menus to correctly complete the statement.
The scale is likely to show the mass is either [Choose...] g or [Choose...] g.
Please help, I have an F in math and the semesters almost over. Im doing over due so I can try to bring my grade up to a C. Please help, Ill give brainlyest.
Answers
Multiply the weight by 5%, then subtract that from the weight for the lower value and add it for the higher value:
258 x 0.05 = 12.9g
Lower value: 258 - 12.9 = 245.1g
Higher value: 258 + 12.9 = 270.9g
A manufacturer of tennis rackets makes a profit of $15 on each oversized racket and $8 on each standard racket. To meet dealer demand, daily production of standard rackets should be between 30 and 80, and production of oversized rackets should be between 10 and 30. To maintain high quality, the total number of rackets produced should not exceed 80 per day. How many of each type should be manufactured daily to maximize profit?
Answers
Answer:
30 oversized rackets and 50 standard rackets
Step-by-step explanation:
To maximize profit, it is very essential she strikes a balance between the two type of rackets. It is important to note that the profit on oversized racket is twice that of standard racket. Hence, she must make as many oversized rackets as possible.
The highest number of oversized racket she can make is 30. Subtracting 30 from the total number of rackets give 50 standard racket
To maximize profit, represent the constraints as a system of inequalities, graph these to find a feasible region, and evaluate the profit function at each vertex of this region.
Explanation:Maximizing Profit with Production ConstraintsTo determine how many of each type of tennis racket a manufacturer should produce daily to maximize profit, we can set up a system of inequalities based on the given constraints and then use linear programming. The constraints are that the daily production of standard rackets (S) should be between 30 and 80, and production of oversized rackets (O) should be between 10 and 30. Additionally, the total number of rackets produced (S + O) should not exceed 80 per day.
The profit function to be maximized is P = 15O + 8S. The optimization process involves graphing the inequalities to form a feasible region, then evaluating the profit function at each vertex of this region to find the maximum profit point.
The constraints can be written as:
We look for the corner points of the feasible region that satisfies all the constraints and calculate the profit at each of these points. The highest profit among these calculated values will give us the optimal number of each type of racket to produce.
By systematically evaluating the profit P at the corner points of the feasible region, the manufacturer can identify the production levels of standard and oversized rackets that will maximize profit within the given constraints.
This approach ensures that the manufacturer can meet dealer demand, maintain high quality through production limits, and optimize profit based on the profit margins of each racket type.
Label each pair of triangles with the postulate or theorem that proves the triangles are congruent.
Answers
Answer:
We can conclude that Δ GHI ≅ Δ JKL by SAS postulate.
Step-by-step explanation:
Δ GHI and Δ JKL are congruents because:
1. Their sides GH and JK are equal (9 units = 9 units)
2. Their included angles ∠G and ∠J are equal (62° = 62°)
3. Their sides GI and JL are equal (17 units = 17 units)
Now, we can conclude that Δ GHI ≅ Δ JKL by SAS postulate.
John was born in 1980 for his grandmother was born in 1928 of the year is 2014 how old are both John and his grandmother
Answers
John is 34, Grandmother is 86.
2014 - 1980 = 34.
2014 - 1928 = 86.
:)
g(x) = x - 6
If the opposite of g(x) is-g(x),
then--g(x) =
Answers
Answer:
--g(x) = g(x) = x - 6
Step-by-step explanation:
The opposite of the opposite is the original.
the answer is 0
Step-by-step explanation:
on edge
Write the quadratic equation whose roots are -5 -4 and whose leading coefficient is 4
Answers
Answer:
y = 4x² + 36x + 80
Step-by-step explanation:
Since the roots are x = - 5 and x = - 4 then the factors are
(x + 5) and (x + 4)
The equation is the product of the factors
y = (x + 5)(x + 4) and with leading coefficient of 4 is
y = 4(x + 5)(x + 4) ← expand factors
= 4(x² + 9x + 20)
= 4x² + 36x + 80
Y''+Y'+Y=1
solve ordinary differential equation
Answers
Answer:
y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1
Step-by-step explanation:
y" + y' + y = 1
This is a second order nonhomogenous differential equation with constant coefficients.
First, find the roots of the complementary solution.
y" + y' + y = 0
r² + r + 1 = 0
r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)
r = [ -1 ± √(1 − 4) ] / 2
r = -1/2 ± i√3/2
These roots are complex, so the complementary solution is:
y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)
Next, assume the particular solution has the form of the right hand side of the differential equation. In this case, a constant.
y = c
Plug this into the differential equation and use undetermined coefficients to solve:
y" + y' + y = 1
0 + 0 + c = 1
c = 1
So the total solution is:
y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1
To solve for c₁ and c₂, you need to be given initial conditions.
Jacob has a 20 gallon fish tank. He could only find a quart size pitcher to fill his tank. How many times will Jacob have to fill the pitcher to get 19 gallons of water in his tank?
A
38
B
76
C
80
D
152
Answers
Answer:
B.76
Step-by-step explanation:
4 quarts = 1 gallon
so 4 * 19=76
) What number makes the equation true?
-5+__=7 1/3
Answers
X = 7 1/3 + 5
X = 12 1/3
What is the value of x in the equation? 4 3/7 x − 3 1/2 = 12
A) 3 2/5
B) 3 1/2
C) 3 3/4
D) 3 6/7
Answers
Answer:
B) 3 1/2 or 7/2
Step-by-step explanation:
4 3/7=31/7
3 1/2=7/2
---------------
31/7x-7/2=12
31/7x=12+7/2
31/7x=24/2+7/2
31/7x=31/2
x=(31/2)/(31/7)
x=(31/2)(7/31)
x=7/2
Answer:
The answer is B.) 3 1/2
Step-by-step explanation:
4
3
7
x − 3
1
2
= 12
31
7
x −
7
2
= 12
31
7
x · 14 −
7
2
· 14 = 12 · 14
62x − 49 = 168
62x = 217
x =
217
62
=
7
2
= 3
1
2
What is a non-example of unit rate
Answers
Answer:
60 calories per day
Step-by-step explanation:
example: 60 calories per serving so obviously the non example is the opposite
Solve for k
7k+2m = kr + 4m + 3
Answers
Answer:
[tex]\large\boxed{k=\dfrac{2m+3}{7-r}\ \text{for}\ r\neq7}[/tex]
Step-by-step explanation:
[tex]7k+2m=kr+4m+3\qquad\text{subtract}\ 2m\ \text{from both sides}\\\\7k+2m-2m=kr+4m-2m+3\\\\7k=kr+2m+3\qquad\text{subtract}\ kr\ \text{from both sides}\\\\7k-kr=kr-kr+2m+3\\\\7k-kr=2m+3\qquad\text{distribute}\\\\k(7-r)=2m+3\qquad\text{divide both sides by}\ (7-r)\neq0\\\\k=\dfrac{2m+3}{7-r}[/tex]
One-Step Equations:
1. x - 3.5 + 14.9
2. x - 2.8 = 9.5
3. x - 8.5 = -2.1
4. z - 9.4 = -3.6
5. -5/6 + x = -11/12
6. x - 1/9 = 5/18
7. x + 6 = -3
8. z - 7 = 11
9. -1 = x - 8
(I will be trying to figure these out as well)
Answers
8. X=18. 18-7=11
2.x=12.3
3.x=6.4
4.z=5.8
5.x=-1/2
6.x=7/18
7.x=-9
8.z=18
9.x=7
what is the slope for (12,5) (9,8)
Answers
We can use the points (12, 5) and (9, 8) to solve.
Slope formula: y2-y1/x2-x1
= 8-5/9-12
= 3/-3
= -1
______
Best Regards,
Wolfyy :)
How do you determine the slope of a line
Answers
Answer:
To calculate the slope of a line you need only two points from that line, (x1, y1) and (x2, y2). There are three steps in calculating the slope of a straight line when you are not given its equation.
Step-by-step explanation:
Step One: Identify two points on the line. Step Two: Select one to be (x1, y1) and the other to be (x2, y2).
add the following complex numbers (2-8)+(5-i)
Answers
Answer:
-1-i
Step-by-step explanation:
(2-8)+(5-i)=-6+5-i=-1-i
Identify which is NOT a Pythagorean triple.
A)5, 12, 13B)7, 24, 25C)8, 15, 16D)11, 60, 61E)12, 35, 37
Answers
Answer:
C) 8, 15, 16 is NOT Pythagorean TRIPLET.
Step-by-step explanation:
There numbers a, b and c are said to be a PYTHAGORAS TRIPLET if
[tex](a) ^2 + (b)^2 = (c) ^2[/tex]
Now, here in the given options:
A)5, 12, 13
[tex](5)^2 + (12)^2 = 25 + 144 = 169 = (13)^2\\\implies (5) ^2 + (12)^2 = (13) ^2[/tex]
Hence, 5, 12, 13 is a Pythagorean TRIPLET.
B)7, 24, 25
[tex](7)^2 + (24)^2 = 49 + 576= 625 = (25)^2\\\implies (7) ^2 + (24)^2 = (25) ^2[/tex]
Hence, 7, 24, 25 is a Pythagorean TRIPLET.
C)8, 15, 16
[tex](8)^2 + (15)^2 = 64 + 225= 289 \neq (16)^2 = 256\\\implies (8) ^2 + (15)^2 \neq (16) ^2[/tex]
Hence, 8, 15, 16 is NOT Pythagorean TRIPLET.
D)11, 60, 61
[tex](11)^2 + (60)^2 = 121 + 3600 = 3721 = (61)^2\\\implies (11) ^2 + (60)^2 = (61) ^2[/tex]
Hence, 11, 60, 61 is a Pythagorean TRIPLET.
E)12, 35, 37
[tex](12)^2 + (35)^2 = 144 + 1225 = 3721 = (37)^2\\\implies (12) ^2 + (35)^2 = (37) ^2[/tex]
Hence, 12,35 , 37 is a Pythagorean TRIPLET.
6% of what number is 2.36
Answers
Answer:
39.3
Step-by-step explanation:
100 / 6 is about 16, 16.66667 to be exact:
2.36 * 16.66667 = approx. 39.3
Final answer:
To determine 6% of what number is 2.36, divide 2.36 by 0.06, resulting in an answer of approximately 39.33.
Explanation:
To find 6% of what number equals 2.36, we set up an equation where 6% (or 0.06) multiplied by a number 'x' equals 2.36. The equation looks like this: 0.06x = 2.36. To solve for 'x', you divide both sides of the equation by 0.06, which yields x = 2.36 ÷ 0.06. After calculating, you get that x equals 39.33. Therefore, 6% of 39.33 is 2.36.
(5x)(-2x)(3x) is equal to?
Answers
There are three x hence the cubes and then all you do is multiply (5)(-2)and(3) together to get -30
there are two green Skittles out of every five what percent are green
Answers
Answer:
40%Step-by-step explanation:
2 green of every 5:
[tex]\dfrac{2}{5}[/tex]
Convert to the percent:
[tex]\dfrac{2}{5}\cdot100\%=\dfrac{200}{5}\%=40\%[/tex]
Cara is 14 years old . This is twice as old as her brother . How old is her brother
Answers
Cara's brother is 7 years old.
14 is twice as much as 7 (7 * 2 = 14).
Answer:
7
Step-by-step explanation:
If Cara is twice the age of her brother,
divide 14/2
7, her brother is 7
What is the solution to the equation
1+1
Answers
Answer:
2
Step-by-step explanation:
but I would personally say FISH
Answer: Like I really told you what I just had said, "The answer to this basic math question with the given basic math expression is [tex]1+1=2.[/tex]"
Step-by-step explanation: Seriously, like I really told you what I just had said, "This seems extremely too simple and easy for me and the users of The Brainly in order to answer to this basic math question with your own given the basic math expression, there is just only 1 of the basic step-by-step explanation for the basic math question with the given basic math expression for me and the users of The Brainly in order to solve it that looks in the equation form like this: [tex]1+1=2.[/tex]"
So, anyway, I hoped that my own given quoted with my own given quoted basic answer and my own given quoted basic step-by-step explanation is being very helpful to your own basic math question with the given basic math expression what I've been just said and have a great rest of the weekend! :D
Sincerely,
Jason Ta,
The Ambitious of Brainly And The Role of The TDSB And WHCI Student of The High School.
LiAnn works in the Olde Tyme Soda Shopee. The shop sells milkshakes, double milkshakes, and triple milkshakes. A shake uses 1/8 cup of syrup, a double shake uses 1/4 cup of syrup, and a triple shake uses 3/ 8 cup of syrup. How many shakes of each kind could she make with 3 cups of syrup?
Answers
Answer:
[tex]\large \boxed{24; 12; 8}[/tex]
Step-by-step explanation:
1. Calculate the number of milkshakes
[tex]\text{Number of milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each milkshake}} = 3 \div \dfrac{1}{8}[/tex]
Invert the denominator and change division to multiplication
[tex]3\div\frac{1}{8} = 3\times \dfrac{8}{1} = \mathbf{24}\\\\\text{LiAnn can make $\large \boxed{\mathbf{24}}$ milkshakes}[/tex]
2. Calculate the number of double milkshakes
[tex]\text{Number of double milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each double milkshake}} = 3 \div \dfrac{1}{4}[/tex]
Invert the denominator and change division to multiplication
[tex]3\div\dfrac{1}{4} = 3\times \dfrac{4}{1} = \mathbf{12}\\\\\text{LiAnn can make $\large \boxed{\mathbf{12}}$ milkshakes}[/tex]
3. Calculate the number of triple milkshakes
[tex]\text{Number of triple milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each triple milkshake}} = 3 \div \dfrac{3}{8}[/tex]
Invert the denominator and change division to multiplication
[tex]3\div\dfrac{3}{8} = 3\times \dfrac{8}{3}[/tex]
Cancel the 3s
[tex]3\times \dfrac{8}{3} = \mathbf{8}\\\\\text{LiAnn can make $\boxed{\mathbf{8}}$ triple milkshakes}[/tex]
how do i write this inequality
You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.
Answers
The inequality for the given condition is x ≥ 42 inches
Solution:
Given that, the condition is you must be at least 42 inches tall to ride the bumper cars at an amusement park.
We have to write an inequality that represents this situation.
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =
Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥
Let "x" represent the heights of people who are allowed to ride the bumper cars
Height of people who are allowed to ride the bumper cars should be at least 42 inches
Height of people ≥ 42 inches [ since at least condition holds even at 42 value also ]
x ≥ 42 inches
Hence, the inequality for the given condition is x ≥ 42 inches
In the box, type in the number that will correctly complete the sentence.
Jane has a debt of $63. She owes equal amounts to seven different people. Her debt to each person can be expressed as Answer
dollars.
Answers
Answer:
$9 to each person
Step-by-step explanation:
63/7=9
Answer: 9
Step-by-step explanation:
$63 divided by 7 people = $9 debt per person
20.
0/1 points
Previous Answers
GHColAlg12 5.1.094.MI.
An account now contains $11,680 and has been accumulating interest at a 8% annual rate, compounded continuously, for 5 years. Find the initi
$ 3,3839
Need Help? Read It Watch It
Master It
Talk to a Tutor
Viewing Saved Work Revert to Last Response
Answers
Answer:
The initial investment was $7945.58.
Step-by-step explanation:
Use the compound interest formula: A = P(1 + r)^t
A is the ending amount, in this case 11,680.
P is the starting amount, which is unknown.
r is the interest rate in decimal form, in that case 8% is 0.08.
t is the time in years, in this case 5.
Substitute known values into the equation
A = P(1 + r)^t
11,680 = P(1.08)^5
11,680 = 1.47P
P = 11,680/1.47
P = 7945.58
The initial investment was $7945.58.
12. What's
written as a fraction with a denominator of 42?
O C. 42/42
O D.742
Mark for review (Will be highlighted on the review page)
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Answers
Answer:
C.)
Step-by-step explanation:
Denominator is the bottom part of a fraction
What is the median of this set of data values? 11, 13, 14, 15, 18, 20, 23, 26
Answers
Step-by-step explanation:
= (11+13+14+15+18+20+23+26)/8
= 140/8
= 17.5
Answer:
16.5
Step-by-step explanation:
In a large city, the heights of 10-year-old children are approximately normally distributed with a mean of 53.7 inches and standard deviation of 7 inches.
(a) What is the probability that a randomly chosen 10-year-old child has a height that is less than than 38.2 inches? Round your answer to 3 decimal places.
(b) What is the probability that a randomly chosen 10-year-old child has a height that is more than 40.3 inches? Round your answer to 3 decimal places
Answers
Answer:
(A) 40.67
(B) 57.98
Step-by-step explanation:
I did it in my head
25. A company spends $34,000 annually on product payment costs. Its
total annual expenses are $296,000. About what percentage of the
total annual expenses is for product payment costs? Round to the
nearest hundredth of a percent.
Answers
Answer:
The percentage of the total annual expenses for product payment costs is 11.49% .
Step-by-step explanation:
Given:
Annually costs on product company spends = $34000 and total annual expenses = $296000.
Now, to get the percentage of the total annual expenses for product payment costs. We will calculate the percentage, $34000 by $296000:
According to question:
[tex]\frac{34000}{296000} \times 100[/tex]
[tex]=0.11486\times 100[/tex]
[tex]=11.486[/tex]
Now, rounding to the nearest hundredth of a percent to 11.486 will be 11.49. As we see 6 in the thousandth place and 8 in hundredth place so rounding to decimal in hundredth place will change 8 into 9.
Therefore, the percentage of the total annual expenses for product payment costs is 11.49% .