Find following measure.
m WX
Answers
When an angle exists encircled by a circle, its measure exists equivalent to the intercepted arc's measure divided by two.
The measure of m WX is 66.
What is meant by inscribed arc?The arc that is inside the inscribed angle and whose endpoints are on the angle is known as the intercepted arc. Anywhere on the circle that the sides of an inscribed angle intersect to produce an intercepted arc can serve as the angle's vertex.
Angles with vertices on a circle and that cross an arc on the circle are said to be inscribed angles. Half of the intercepted arc's length and half of the central angle's length intersecting that same arc make up the measure of an inscribed angle. Congruent inscribed angles are those that intersect the same arc.
According to the Inscribed Angle Theorem, an inscribed angle's measure is equal to half of its intercepted arc's measure. Congruent inscribed angles are those that intersect the same arc.
In the given diagram, XY is a semi-circle. So,
m XWY = 180
m WX + m WY = 180
If an angle is inscribed in a circle, then the measure of the angle equals one half the measure of its intercepted arc.
m WY = 2(m ∠X)
m WY = 2(m ∠X) = 114
Therefore, m WX = 180 - m WY = 66.
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Related Questions
Write in point-slope form an equation of the line through each pair of points. (7,11) and (13,17)
Answers
The equation of the line in point-slope form, which passes through the pair of points located at (7 , 11) and (13 , 17), is y - 11 = (x - 7).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Getting the slope of the two points: (7 , 11) and (13 , 17).
m = (y2 - y1)/(x2 - x1)
m = (17 - 11)/(13 - 7)
m = 6/6
m = 1
Using the point slope form, plug in the values of the slope and one point to set up the equation.
(y - y1) = m(x - x1)
where m = 1 and (x1 , y1) = (7 , 11)
(y - 11) = 1(x - 7)
y - 11 = (x - 7)
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Solve each equation for y .
-10 y=5 x
Answers
y = -x/2 is the value of y in the equation -10 y=5 x
⇒ -10 y=5 x
⇒ y = -5x/10
⇒ y = -x/2
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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Find the sum of each finite series. Σ⁴ n=1 2ⁿ
Answers
A sequence is a geometric sequence if all the numbers of a list are found by multiplying the preceding term by the common ratio r of that sequence. Sigma notation can represent the sum of a finite number of terms (although higher mathematics will tell you how it works for infinite numbers as well).
Now the given problem is,
calculate ∑ n=1, 4, 2n
∑n=1 , 4 , 2n
Since the bounds are finite, the number of terms is finite as well, and we just calculate the sum by summing up the terms.
(∑n=1 4 ,2n) = (2+4+8+16) (∑n=1 4, 2n) = (2+4+8+16)
(∑n=1 4 ,2n) = (30) (∑n=1 4, 2n) = (30)
Hence,
∑n=1 4, 2n=30 ∑n=1 4, 2n=30
Answer:
∑n=1 4, 2n=30
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Rex and Samir participated in a walkathon. Rex walked for 1 2/3 hours, and Samir walked for 3 1/3 hours. complete the comparison. Samir walked _____ times ad many hours as Rex walked.
Answers
Samir walked 2 times as many hours as Rex walked.
What is ratio?A ratio can be defined as the comparison of two or more numbers on the basis of their sizes in relation to each other.
It also indicates how many times one number contains another.
Given that;
Rex walked = 1 2/3 hours = 5/ 3 hoursSamir walked = 3 1/3 = 10/ 3 hoursTo determine the ratio, we have to divide Samir's walking hours by Rex's working hours
= 10/ 3 ÷ 5/ 3
Take the inverse of the divisor and multiply
= 10/ 3 × 3/ 5
= 2 hours
Thus, Samir walked 2 times as many hours as Rex walked.
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What do you notice about the measures of anges the are side by side?
Answers
they add up to 180 degrees
Do the following side lengths form a right triangle?
51, 68, 85
Answers
Answer:
Yes
Step-by-step explanation:
We can check using pythagoras theorem, setting a and b equal to the shorter sides.
[tex]51^2+68^2=85^2\\2601+4624=7225\\7225[/tex]
what is the value of 7 -(-4)
Answers
7-(-4) is basically the same as 7+4 since it is a double negative. If it’s difficult to understand double negatives, distribute the outside negative to the inside of the parentheses, negative times a negative is positive so 7+4=11
In the regular polyhedron described below, all faces are congruent polygons. Use a system of three linear equations to find the numbers of vertices, edges, and faces.
Every face has five edges and every edge is shared by two faces. Every face has five vertices and every vertex is shared by three faces. The sum of the number of vertices and faces is two more than the number of edges.
Answers
A normal polyhedron shape is defined as a polyhedron having a symmetry group that acts transitively on the flags. Regular polyhedral are highly symmetrical because they are all edge-transitive, corner-transitive, and face-transitive. Many different equivalent definitions are used in classical contexts. There are many definitions in mathematics defining a regular polyhedron, and is that the faces of a polyhedron are nothing but congruent regular polygons that are constructed in the same way around each vertex of the polyhedron. So the polyhedron having faces/sides that are congruent with regular polygons and the exact number of faces that meet at each vertex is called a regular polyhedron.
Euler's polyhedron formula describes the relationship between the number of vertices, edges, and faces of a three-dimensional polyhedral shape.
V-E+F=2 gives Euler's polyhedron formula.
Where V-corner, E-edge, F-face.
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Write an equation of a parabola with vertex at the origin and the given focus. (0,6)
Answers
Answer:
27273763hebvrhejwj27222
Please Help, Consider the following sets in the universal set U, which is the set of all elements of the three given sets below. List the elements of the sets being described.
B = {d, o, I, e} I = {p, i, n, a, y} J = {p, i, n, o, y}
Answers
The results of the operations between the sets are given as follows:
1. U = {a, d, e, i, l, o, n, p, y}
2. E ∪ I = {d, o, l, e, p, i, n, a, y}.
3. E ∩ I = ∅.
4. J' = {d, a, l, e}
5. I ∪ J = {p, i, n, a, y, o}
6. (J ∩ I) ∪ E = {p,i,n,y,d,o,l,e}
7. E = {p, i, n, a, y}
8. I' ∪ J = {p, i, n, y, d, o, l, e}
9. (E ∪ I) ∩ (I ∪ J) = {p, i, n, a, y, o}
10. (J ∪ I)' = {d, l, e}
What is the universal set?The universal set is the set that contains all elements that belong to at least one of the sets E, I and J, hence:
U = {a, d, e, i, l, o, n, p, y}
What is the union operation?The union operation between two sets is the set of elements that belong to at least one of the sets.
Hence, in item 2, we have that:
E ∪ I = {d, o, l, e, p, i, n, a, y}
In item 5, we have that:
I ∪ J = {p, i, n, a, y, o}
What is the negation operation?The negation operation of a set X is the set that contains all elements that belong to the universe U but do not belong to X.
Hence, for item 4, we have that:
J' = {d, a, l, e}
For item 7, we have that:
E = {p, i, n, a, y}
Item 8 involves a negation then a union, hence:
I' = {d,o,l,e}
I' ∪ J = {p, i, n, y, d, o, l, e}
Item 10 involves an union then a negation, just different precedence of 8, hence:
I ∪ J = J ∪ I = {p, i, n, a, y, o}
(J ∪ I)' = {d, l, e}
What is the intersection operation?The union operation between two sets is the set of elements that belong to both of the sets.
Hence, in item 3, we have that:
E ∩ I = ∅ (no element belongs to both sets).
For item 6, we have an intersection then an union, hence:
J ∩ I = {p,i,n,y}
(J ∩ I) ∪ E = {p,i,n,y,d,o,l,e}
For item 9, we have the intersection of two unions, hence:
E ∪ I = {d, o, l, e, p, i, n, a, y}
I ∪ J = {p, i, n, a, y, o}
(E ∪ I) ∩ (I ∪ J) = {p, i, n, a, y, o}
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I'm more sophisticated than my little sister. I save my money in a bank account that pays
me 3% interest on the money in the account at the end of each month. (If I take my money
out before the end of the month, I don't earn any interest for the month.) I started the
account with $50 that I got for my birthday. How much money will I have in the account at
the end of 10 months? How many months will it take to have at least $100? Justify your
answer with a mathematical model of the problem situation.
Answers
The amount of money after 10 months will be $67.2. The number of months (n) that it takes to have at least $100 will be 2 years or 24 months.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
[tex]\rm A = P \left (1 + r \right ) ^{t}[/tex]
Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of months.
I keep my savings in a bank account that, at the end of each month, gives me 3% interest on the balance. (If I withdraw my funds before the end of the month, I forfeit the interest I would have accrued.) I opened the account using the $50 I received as a birthday gift.
The amount of money after 10 months will be
A = 50 (1 + 0.03)¹⁰
A = 50(1.03)¹⁰
A = 50 x 1.344
A = $67.2
The number of months (n) that it takes to have at least $100 will be
100 = 50 (1.03)ⁿ
2 = (1.03)ⁿ
n ln 1.03 = ln 2
n = ln 2 / ln 1.03
n = 23.5 ≈ 24 months or 2 years
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1/16 to the power of 2
Answers
Answer: 0.00390625
Step-by-step explanation:
Answer:
The answer is 1/256 :)
Step-by-step explanation:
This one is actually quite simple! All you need to do is multiply 1/16 by 1/16! 1 x 1 is 1 of course, and 16 x 16 is 256. I've attached an image to help break it down even further. (credit to cymath.com)
Hope this helps!
Type the correct answer in the box.
What trigonometric expression can be used to find the value of x? Replace a and b with the correct values.
25 x
12
√0
(0) 101
0.
04
=
< >
S 2
X
a B
AU
8 9
Q
4
sin cos tan sin
tan-1
csc sec cot log log In
COS
=
ZAN
2
•
U
Σ
Answers
Answer:
x ≈ 25.73
Step-by-step explanation:
using the tangent ratio in the right triangle
tan25° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )
x × tan25° = 12 ( divide both sides by tan25° )
x = [tex]\frac{12}{tan25}[/tex] ≈ 25.73 ( to 2 dec. places )
The value of the line segment in the right-angle triangle 'x' will be 25.75 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The measure of the length 'x' is calculated by the tangent of angle 25°. The tangent of an angle is the ratio of the perpendicular to the base of the right-angle triangle. Then we have
tan 25° = 12 / x
x = 12 / tan 25°
x = 12 / 0.466
x = 25.75 units
The value of the line segment in the right-angle triangle 'x' will be 25.75 units.
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Easton drove 224 miles in 8 hours. On average, how fast did he drive in miles per hour? Express your answer in simplest form.
Answers
Answer: 28 miles per hour
Step-by-step explanation:
224 miles / 8 hours=
224/8= 28 miles per hour
I am doing a test and have no idea how to do this
Answers
Answer:
x squared
Step-by-step explanation:
x squared and the rest =1
The expressions c - e, where c
stands for the money collected and e
stands for the expenses, is used to find
the profit from a basketball concession.
If $500 was collected and expenses
were $150, find the profit for the
concession.
Answers
The profit of the concession is $350.
What specifically are expressions?A group of numbers or variables combined with the operations +, -, ×, or ÷ form an expression.While algebraic expressions include variables, numbers, and mathematical operators, arithmetic expressions only contain numbers and mathematical operators.Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.So, c - e:
Substitute the values in the expression:
c - e500 - 150$350Therefore, the profit of the concession is $350.
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6 4 0,409, 210
onas period
ones
The number name for this number is six hundred forty million, four hundred
nine thousand, two hundred ten.
1Expanded form is a way to write a number as the sum of each
digit multiplied by its place value. Fill in the blanks to write the
number in expanded form.
Answers
The expansion of 6 4 0,409, 210 is given below with the solution.
What does "expanded form" mean?The division of numbers into groups according to place value, such as ones, tens, hundreds, thousands, ten thousand, and so on, results in the expanded form of the number. The expanded version of the number is the one that is represented by the sum of each digit times its place value.
6 4 0,409, 210 = 6 × 10,00,00,000 + 4 × 100,00,000 + 0 × 10,00,000 + 4 × 100,000 + 0 × 10,000 + 9 × 1000 + 2 × 100 + 1 ×10 + 1 × 0
A number is displayed in expanded form according to the place values of its digits.
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In this problem, you will explore changing dimensions in circles.
f. If the scale factor from ®A to ®B is 1/3 , and the circumference of ®A is 12 inches, what is the circumference of ®B ?
Answers
The circumference of ®B is 36 units.
What is scale factor?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.
Now it is given that,
The scale factor from ®A to ®B = 1/3
⇒Ks = 1/3
∵ Ks = A/B
By comparison we get,
A = 1
and B = 3
Thus, circumference (CA) of ®A = 12
⇒ Since scale factor for A = 1
⇒ 2πr = 12
⇒ r = 6/π
Now, circumference (CB) of ®B = 2πr = 2π* 6/π
⇒ circumference (CB) of ®B = 12
Since scale factor for B = 3
⇒ circumference (CB) of ®B = 3 * 12
⇒ circumference (CB) of ®B = 36 units.
Thus, the circumference of ®B is 36 units.
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a web music store offers two versions of a popular song. The size of the standard version is 2.6 megabytes (NB). The size of the high-quality version is 4.7
Yesterday, the high-quailty version was downloaded three times as often as the standard version. The total size downloaded for the two versions was 4509
How many downloads of the standard version were there?
Answers
The downloads of the standard version are 1127.25.
What are expressions?In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one mathematical operation. This math operation can be addition, subtraction, multiplication, or division. An expression has the following structure: The expression is (Number/variable, Math Operator, Number/variable).So, let the download of the standard version be 'x'.
Then, automatically the download of the high-quality version becomes '3x'.
Now,
3x + x = 45094x = 4509x = 4509/4x = 1127.25 (downloads of the standard version)Then, downloads of the high-quality version: 1127.25 × 3 = 3,381.75Therefore, the downloads of the standard version are 1127.25.
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What is the simplest form of [tex]\sqrt) 3025[/tex]
Answers
Answer:
55
Step-by-step explanation:
[tex]\sqrt{3025} =55^2\\\sqrt{55^2}\\\sqrt{55^2}=55\\=55[/tex]
Hope this helps.
what do i do when my algebra has something like this 9x+45=15x+3/7x im used to having constants and variables on both sides
Answers
Answer:
x = 2 11/12
Step-by-step explanation:
First of all, on the right you have to combine 15x+3/7x which equals 15 3/7x.
9x + 45 = 15 3/7x
-9x -9x Next step is to subtract 9x from both sides.
45 = 15 3/7x
/ /
15 3/7 15 3/7 Third step is to divide 15 3/7 on both sides to leave x
by itself.
35/12 = 2 11/12 = x
x = 2 11/12
(k)(k − k + h); use h = -2, and k = 6
Answers
Answer:-12
Step-by-step explanation:
6(6-6+ -2)
6(-2)
-12
The circle below is centred at O.
a) Work out the size of angle x.
b) Which of the circle theorems below allows
you to calculate this angle?
O
X
Not drawn accurately
31°
The perpendicular line from the centre of a circle to a chord
bisects the chord
Two tangents that meet at a point are the same length
The angle at the circumference in a semicircle is a right angle
Opposite angles in a cyclic quadrilateral add up to 180°
The angle between the tangent and the radius at a point
on a circle is 90°
Answers
Answer:
[tex]\textsf{a)} \quad x = 59^{\circ}[/tex]
[tex]\textsf{b)} \quad \boxed{\begin{minipage}{8.5 cm}\sf The angle between the tangent and the radius at a point \\on a circle is $90^{\circ}$.\end{minipage}}[/tex]
Step-by-step explanation:
Part (a)As two sides of the triangle inside the circle are the radius of the circle, the triangle is an isosceles triangle.
Therefore, its two base angles are 31°.
The tangent of a circle is:
A straight line that touches the circle at only one point.Always perpendicular to the radius.Therefore:
[tex]\implies x + 31^{\circ} = 90^{\circ}[/tex]
[tex]\implies x +31^{\circ}-31^{\circ}= 90^{\circ} - 31^{\circ}[/tex]
[tex]\implies x = 59^{\circ}[/tex]
Part (b)The circle theorem that allows you to calculate angle x is:
[tex]\boxed{\begin{minipage}{8.5 cm}\sf The angle between the tangent and the radius at a point \\on a circle is $90^{\circ}$.\end{minipage}}[/tex]
solve each equation.c heck your solution
x(x + 3)=0
Answers
Answer: x= negative 3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-3(-3+3)=0
-3(0)=0
0=0
& Check
# 18 1
The function b(x)= |x-45] represents the absolute deviation (in inches) of a boy's height x (in inches) from the average height of boys in a kindergarten class. The
function g(x)= |x-44| represents the absolute deviation (in inches) of a girl's height x (in inches) from the average height of girls in a kindergarten class. Compare
the absolute deviations for a boy and a girl who are both 43 inches tall.
Answers
I don't know lol ididjdjdj
b. Explain how your answer to part (a) relates to the explicit formula a n = a+(n-1) d
Answers
My answer to part (a) relates to the explicit formula in an n = n+6 n a= n+6 n.
a= n+6 n
Step-by-step explanation:
n=an−1−5
Step 1: Flip the equation.
an−6=n
Step 2: Add 6 to both sides.
an−6+6=n+6
an=n+6
Step 3: Divide both sides by n.
an n = n+6 n a= n+6 n
What is explicit formula?An arithmetic sequence has the explicit formula a = a + (n - 1)d, and each term of the sequence may be computed without knowing the values of the previous terms. The nth term of an arithmetic, geometric, or harmonic series is usually the explicit formula.
The formal equations for L-functions in mathematics are Riemann's zeta function and links between sums over an L-complex function's number zeroes and sums over prime powers.
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Find the sum of each finite series. Σ¹° n = 1 (3 n-4)
Answers
The sum of the given finite series is 125
The given finite series is:
[tex]\sum\limits^{10}_{n=1} {(3n-4)}[/tex]
Use the properties of sum operator:
[tex]\sum\limits^{10}_{n=1} {(3n-4)}=\sum\limits^{10}_{n=1} {3n}-\sum\limits^{10}_{n=1} {4}[/tex]
Calculate each term on the right side:
[tex]\sum\limits^{10}_{n=1} {4}=4+4+...+4=10\times4=40[/tex]
[tex]\sum\limits^{10}_{n=1} {3n}=3\sum\limits^{10}_{n=1} {n}[/tex]
= 3.(1 + 2 + 3 + ... + 10)
The series in the brackets is an arithmetic series with :
the first term: a(1) = 1
the last term: a(10) = 10
the common difference: d = 2 - 1 = 1
Use the sum formula for arithmetic series:
S(n) = n/2 [a(1) + a(n)]
S(10) = 10/2 [1 + 10]
=5 . 11 = 55
Therefore,
[tex]\sum\limits^{10}_{n=1} {3n}=3\times{55}=165[/tex]
Combine the sum:
[tex]\sum\limits^{10}_{n=1} {3n}-\sum\limits^{10}_{n=1} {4}=165-40[/tex]
= 125
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PLEASE HELP ANSWER I CANT FIND ANSWERS ANYWHERE THIS IS MY LAST HOPE PLS
which expression is equivalent to 1/3 + (3/4+3/4)
1/3 + (3/4 +3/4)
1/3 (3/4+2/3
3/4 - 2/3 + 1/3
(1/3+3/4) +2/3
question 2
Which property explains why these two expressions are equal?
(w+ 2/3) + 5 = w + (2/3 + 5)
A)
associative
B)
commutative
C)
distributive
D)
transverse
Which property is BEST to use when combining
3/5 +1/4 +2/5?
additive inverse property
distributive property
commutative property of addition
identity property of addition
Answers
Answer For Question 2: Associative property. The associative property says that even if you rearrange the parenthesis () the result will still be the same. And that is what is happening in question 2
Answer For Question 3: Commutative property of addition. This is the BEST choice because you will first want to add 3/5 + 2/5. And since the Commutative property says that no matter the order of the addends, you can add what ever you think is the best choice.
Here are some answers. I couldn't really understand Question 1 so i didn't want to give you an incorrect answer. Also are the pictures questions too? Im not too sure but here you go hope this helps you in some way
I need help plsssss select the correct way to write the expanded form of 0.68 with decimals. group of answer choices 0 x 1 + 6 x 0.1 + 8 x 0.01 0 x 1 + 6 x 0.01 + 8 x 0.001 0 + 6 + 8 0 x 1 + 6 x 0.1 + 8 x 0.001
Answers
The expanded form of 0.68 is written as 0 x 1 + 6 x 0.1 + 8 x 0.01.
To express decimal numbers in their expanded form simply means writing each number according to its place value. It can be done by multiplying each digit of the decimal by its place value and adding it all together.
Given the decimal 0.68 or sixty eight hundredths in words, first, multiply the digit 0 by its place value, which is 1.
0 x 1
Multiply the digit 6 by its place value, which is 0.1.
6 x 0.1
Multiply the digit 8 by its place value, which is 0.01.
8 x 0.01
Add it all together.
0 x 1 + 6 x 0.1 + 8 x 0.01
Hence, the expanded for of the decimal 0.68 is written as 0 x 1 + 6 x 0.1 + 8 x 0.01.
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Find the 17 th term of each sequence. a₁₈ = -9, d = -11
Answers
The 17 th term of each sequence. a₁₈ = -9, d = -11 is [tex]a_{17}[/tex] = -185.
What is a sequence?a₁₈ = -9, d = -11 is
[tex]a_{17}[/tex] = -9 + (16)(-11)
[tex]a_{17}[/tex] = -185.
succession: the doing of one thing after another. A list of books is presented in alphabetical order. a succession of sonnets that is continuous or connected. a later event, outcome, or repercussion; something that happens after.
A series of numbers is an ordered list. The three dots signify moving forward in the set pattern. Each digit in the sequence is referred to as a word. The first term in the list is 1, followed by the second by 3, the third by 5, and so on.
Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary categories of distinct sequences you need to be familiar with.
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