Answers
The value of x by setting up equation is 16.
Given in question,
∠VZW = (2x + 32)°
∠RZY = (3x + 16)°
∠VZW = ∠RZY
2x + 32 = 3x + 16
2x - 3x = 16 - 32
-x = -16
x = 16
Hence, x = 16.
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Related Questions
On a number line, suppose the coordinate of A is 0, and AR is 22. What are the possible coordinates of the midpoint of ?
Answers
Answer:
Step-by-step explanation:
Yahweh’s
tim and angel are working on promoting an event for a club they are in on campus. in one afternoon tim can make 4 flyers or 5 posters, and angel can make 3 flyers or 6 posters. if you were to graph angel's ppc with posters on the horizontal axis, what would be the slope of her ppc
Answers
If we graph the angel's ppc then the slope of angel's ppc will be -1.
Given, Tim and Angel are working on promoting an event for a club they are in on campus.
In one afternoon, Tim can make 4 flyers or 5 posters, and Angel can make 3 flyers or 6 posters.
we have to find the slope of the angel's ppc if we graph the angel's ppc.
As, the graph of the angel's ppc will pass through the point (3 , 6).
so, the slope = (6 - 5)/(3 - 4)
slope = 1/-1
slope = -1
Hence, if we graph the angel's ppc then the slope of angel's ppc will be -1.
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How do I solve these?
Answers
Applying the knowledge of congruent triangles, the measures are solved as:
6. X = 14; AC = 11; T = 14; WZ = 16; WY = 60; AB = 60; m∠A = 64°; m∠Y = 64°; m∠W = 50°
7. X = 7; YZ = 28; T = 9; WZ = 10; WY = 11; AB = 28; m∠A = 31°; m∠C = m∠W = 99°
How to Solve for the Measures of Congruent Triangles?To solve for the missing measures of triangles that are congruent to each other, recall that triangles that are congruent will have corresponding sides that are equal and also corresponding angles that are equal.
6. Triangles ABC and YWZ are congruent, therefore:
m∠A = m∠Y; m∠B = m∠W; m∠C = m∠Z
AB = WY; AC = YZ; BC = WZ
Therefore:
5X - 4 = 66
Solve for X
5X = 66 + 4
5X = 70
X = 14
AC = YZ = 11
AB = WY
5T - 10 = 4T + 4
5T - 4T = 10 + 4
T = 14
BC = WZ = 16
WZ = 16
WY = 4T + 4 = 4(14) + 4
WY = 60
AB = WY = 60
AB = 60
m∠A = m∠Y
m∠A = 180 - 50 - 66
m∠A = 64°
m∠Y = 64°
m∠B = m∠W = 50°
m∠W = 50°
7. Triangles ABC and ZYW are congruent, therefore:
m∠A = m∠Z; m∠B = m∠Y; m∠C = m∠W
AB = YZ; AC = WZ; BC = WY
Therefore:
5X - 4 = 3X + 10
Solve for x
5X - 3X = 4 + 10
2X = 14
X = 7
AB = YZ
2T + 10 = 4T - 8
2T - 4T = -10 - 8
-2T = -18
T = 9
YZ = 4T - 8 = 4(9) - 8
YZ = 28
AC = WZ = 10
WZ = 10
WY = 11
AB = YZ = 28
AB = 28
m∠A = m∠Z = 3X + 10 = 3(7) + 10
m∠A = 31°
m∠C = m∠W = 180 - 31 - 50 = 99°
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Zachary purchased a computer for $1200 on a payment plan.6 months after he purchased the computer, his balance was $420. 8 months after he purchased the computer, his balance was $160. What is an equation that models the balance y after x months?
Answers
The equation that models the balance y after x months is: y = -130x + 1200.
How to find the equation?Month Balance
0 1200
6 420
8 160
Hence,
m = (y2 - y1)/(x2 - x1)
First coordinate:
m = (420 - 1200)/(6 - 0)
m = -780 /6
m = -130
Second coordinate;
m = (160 - 420)/(8 - 6)
m = -260/2
m = -130
The formula for equation in slope intercept is
y = mx + c
where;
m = slope
c = y-intercept
So, equation is;
y = -130x + 1200
Therefore the equation is y = -130x + 1200.
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most social science researchers are willing to declare that a relationship is statistically significant if the chances of observing the relationship in the sample when actually nothing is going on in the population (i.e., random chance) are less than what percent?
Answers
Most researcher fix level of significance at 5% i.e. they conclude a significant relationship when nothing is going on in 5% of cases. Hence,
Option A is correct which is 1.5%
Given that,
The majority of social scientists are willing to claim that a link is statistically significant if the likelihood of observing the relationship in the sample when nothing is happening in the population is greater than a certain threshold.
To find:
Less than what percentage of the population truly experiences nothing at all (i.e., random chance)
The majority of researchers set the level of significance at 5%, which means they draw conclusions about a meaningful association even when nothing is happening in 5% of cases.
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Two libraries donated books to a local school. One library donated 786 books and the other
library donated 1,245 books. The school divided the books evenly among 11 classrooms.
Estimate how many books each classroom received.
Choose 1 answer:
B
200 books
Donat
50 books
Answers
The number of books each classroom received = 185
In this question, we have been given two libraries donated books to a local school. One library donated 786 books and the other library donated 1,245 books. The school divided the books evenly among 11 classrooms.
We need to find the number of books each classroom received.
Total number of books received:
786 + 1245 = 2031
The school divided the books evenly among 11 classrooms.
Let x be the number of books each classroom received.
By unitary method,
x = 2031 /11
x ≈ 185
Therefore, the number of books each classroom received = 185
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kendra ran 12 miles in 60 minutes. if the ratio of miles to minutes is constant how many more miles can she run in 90 minutes than in 60 minutes
Answers
Answer:
it is 18 mile
Step-by-step explanation:
12mile = 60 min
x = 90 min
we cris cross the equation and
we found x=18 mile
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 90(1.02)
Answers
The exponential equation represents an exponential growth because the rate of decay is 1.02 which is greater than 1.
y = 90(1.02)^x
The general form equation is:
y(x)= a(1+r)^x such that r is the decay percent.
on comparing,
1 + r = 1.02
r = 1.02 - 1
r = 0.02
converting into percent
r = 0.02 * 100
r = 2%.
Hence the exponential growth is 2%.
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factorise x squared - 6x
Answers
The quadratic expression can be factorized to:
x*(x - 6)
How to factorize the expression?Here we have the expression:
x^2 - 6x
To factorize this, first, we need to find the roots, which are the solutions of:
x^2 - 6x = 0
Notice that one of the solutions is trivial, and it is x = 0.
If now we assume that x ≠ 0 and divide both sides by x, we get:
x - 6 = 0
x = 6
That is the other solution.
Now, for a square polynomial with the roots a and b, the factorized form is:
(x - a)*(x - b)
In this case, the roots are 0 and 6, then:
x^2 - 6x = (x - 0)*(x - 6) = x*(x - 6)
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the time necessary to complete an examination has a mean of 45 minutes and a standard deviation of 15 minutes. the average time necessary for 100 randomly selected students is computed. the probability the sample mean time necessary to complete the examination is less than 47.5 minutes equals approximately:
Answers
The likelihood that the sample mean time required to finish the exam will be less than 47.5 minutes is 0.566.
Given;
The average amount of time needed to finish an exam is 45 minutes, with a standard deviation of 15 minutes. The average amount of time required for 100 randomly chosen pupils is calculated.
Mean (μ) = 45
Standard deviation (σ) = 15
Here, σ/√n = 15/√100
= 1.5
To get the probability the sample mean time necessary to complete the examination is less than 47.5 minutes, we need;
P (x < 47.5) = P(z < (x-μ /σ/√n ) )
= P(z < 47.5 - 45/1.5)
= P(z < 17.5)
= 0.566
The probability the sample mean time necessary to complete the examination is less than 47.5 minutes is 0.566
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What is the m (See image)
Answers
From the given figure, m∠AEB = (3x + 54)° and m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.
As given in the question,
For the given figure,
Two lines AC and BD intersect each other at point E.
Measure of angles in the form of x is given as :
m∠AEB = (3x + 54)°
m∠DEC = (7x -30)°
∠AEB and ∠DEC are vertically opposite angles.
⇒m∠AEB = m∠DEC
⇒ (3x + 54)°= (7x -30)°
⇒ 7x - 3x = ( 54 + 30 )°
⇒ 4x = 84°
⇒ x = 21°
Hence,
m∠AEB = (3x + 54)°
⇒m∠AEB = (3(21) + 54)°
⇒m∠AEB = 117°
Therefore, from the given figure m∠AEB = (3x + 54)° and
m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.
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A
If m ZABD = 75° and m/ABC = 40°,
then mZCBD = [?]°
Answers
We see BC is in the middle of the lines AB and BD, therefore mABC + mCBD = mABD.
We're given mABD = 75, mABC = 40.
Therefore, mCBD = mABD - mABC = 75 - 40 = 35.
Answer:
∠CBD = 35°
Step-by-step explanation:
We are told in the question that m∠ABD = 75° and m∠ABC = 40°. We are then asked what the value of m∠CBD is.
As we can see from the diagram, ∠ABD is made up of the angles ABC and CBD. Therefore:
∠ABD = ∠ABC + ∠CBD
⇒ 75° = 40° + ∠CBD
⇒ 75° - 40° = 40° + ∠CBD - 40° [
⇒ 35° = ∠CBD
∴ ∠CBD = 35°
Use the remainder theorem to find P(-1) for P(x) = −x³ – 2x² −9. Specifically, give the quotient and the remainder for the associated division and the value of P(-1).
Answers
Using remainder theorem, Quotient = x-9 and Remainder = x² - x.
According to the remainder theorem, the remainder equals f when a polynomial, p(x), is divided by (x - a) (a). Euclid's Division Lemma can be used to demonstrate this. Using this, p(x) = q(x) (x - a) + r, where q(x) is the quotient and 'r' is the remainder.Remainder Theorem is a method for dividing polynomials according to Euclidean geometry. This theorem states that when a polynomial P(x) is divided by a factor (x - a), which isn't really an element of the polynomial, a smaller polynomial is produced along with a remainder.P(x) = −x³ – 2x² −9
P(-1) = −(-1)³ – (-1)x² −9
P(-1) = −(-1) – 2(1) −9
= 1 -2 -9
= -10
Remainder of P(-1) = −(-1)³ – (-1)x² −9 is -10.
Remainder of P(x+1)
= −x³ – 2x² −9 / x+1
Quotient = x-9 and Remainder = x² - x
Hence, using remainder theorem, Quotient = x-9 and Remainder = x² - x.
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a person can play 1/6 of a song in 1/3 of a minute.
how many minutes does it take the person to play the whole song at once at this rate?
Answers
Answer:
2 minutes for a whole song.
Step-by-step explanation:
Given that,
→ (1/6) song = (1/3) minutes
Parts of whole song is,
→ (1/6) × 6 = 1
Then the required minutes taken to play whole song will be,
→ x/6 = 1/3
→ x = (1/3) × 6
→ x = 6/3
→ [ x = 2 min ]
Hence, 2 minutes for a whole song.
Circle 10cm find the diameter of the circle
Answers
Answer:
Diameter = 3.1831 cm (aprox)
Step-by-step explanation:
Diameter = circle / π
π ≈ 3.1414
Then:
Diameter = 10 / 3.1418
Diameter = 3.1831 cm
The total cost of a one-year membership at a gym is £141. This is made
up of a single £57 sign-up fee and equal-sized monthly payments for the
whole year.
How much is each monthly payment?
Give your answer in pounds.
Answers
Answer: 7£
Step-by-step explanation:
1. Firstly, we need to subtract the single sign up fee from the total cost. This would be 141-57 =84 pounds
2. We know that you pay a regular amount every month, so therefore we can divide 84 by 12 as there are 12 months in a year.
3. 84/12 = 7. Thus, the answer is 7 pounds a month.
Answer:
£7
Step-by-step explanation:
Given information:
£141 = Total cost of one-year gym membership.£57 = sign-up fee (included in the annual fee).To find the cost of the monthly payments, find the difference between the total cost and the sign-up fee, then divide the result by 12 (as there are 12 months in one year).
The difference between the total cost and the sign-up fee is:
[tex]\implies 141-57=84[/tex]
Therefore, the cost of each monthly payment is:
[tex]\implies \textsf{Monthly fee}=\dfrac{84}{12}=7[/tex]
you can read 45 pages of your new book in 2 hours. how many page can you read 3 hours
Answers
Answer:
67.5 (rounded down to 67, usually)
45/2 is 22.5 so that is for one hour
22.5 x 3 = 67.5
Answer:
add me on brainliest please
Step-by-step explanation:
65 is the answer
What’s the exact value of sin,cos,tan.
Answers
Answer:
a) 1
b) 0.5
c)0
Please help! triangles PTS&QTR are congruent identify their common side or angle
Answers
Answer:
∠T
Step-by-step explanation:
∠T is the common angle found in both triangles.
In ΔPTS, ∠PTS represents ∠T.
In ΔQTR, ∠T is represented by ∠QTR.
Answer:
The angle T is common side.
Step-by-step explanation:
Given triangles,
→ ∆PTS & ∆QTR
Now we have to,
→ fInd common angle of both triangles.
The common angle is,
→ <T (angle T)
→ As it is present in both triangles.
Hence, the common part is angle T.
Two similar pots have heights of 16 cm and 10 cm. The smaller pot holds 0.75 litres. Find the capacity of the larger pot.
Answers
Answer: 1,2L
Step-by-step explanation:
10 cm ------------ 0.75 L
16 cm ------------ ?
?= (16 x 0.75) : 10
?= 12 : 10
?= 1,2 L
A sphere has a diameter of 24 mm.
What is the volume of the sphere?
48pi mm³
192pi mm³
2304pi mm³
I don't know.
Answers
Answer:
Step-by-step explanation:
volume of a sphere = ⁴/3 π r³. r = D/2. V = 4/3 × π × (D/2)³. V = 4/3 × π × D³/8. V = ⅓ × π × D³/2. V = ⅓× π × (24mm)³/2.
What is the answer to this question?
Answers
Answer:
0,-24,-3/4
You have to substitute the values for x and y to get the other output. When I put 0 into the equations I get back 0
Este gráfico circular resume las especializaciones de los 450 miembros de una sororidad universitaria. El ángulo central el sector correspondiente a la especialización de ingeniería mide 50.4°. ¿Qué porcentaje de los miembros de la sororidad se especializan en ingeniería? No redondear.
Answers
Los miembros de la sororidad tiene un porcentaje de 14 % de estudiantes procedentes de la especialización de ingeniería.
¿Cuál es el porcentaje de estudiantes de la sororidad que pertenecen a la especialización de ingeniería?
El enunciado describe las características de un diagrama circula, en donde el 100 % de los miembros de la sororidad representan a los 360° del ángulo central del círculo, esto es, una revolución completa del círculo.
El porcentaje de los miembros que se especializan en ingeniería mediante la siguiente fórmula:
e = (E / 360°) × 100 %
Donde E es el ángulo asociado a la cantidad de estudiantes de la especialización de ingeniería, en grados sexagesimales.
e = (50.4° / 360°) × 100 %
e = 14 %
Los estudiantes que especializan en ingeniería corresponden a un porcentaje de 14 % de los miembros de la sororidad.
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You win 50 tickets, 12 tickets, and 16 tickets at
an arcade. You are able to buy 3 of the same item with 3 tickets left over.
How many tickets does 1 item cost?
Answers
Answer:
25
Step-by-step explanation:
First, we add 50, 12, and 16, which gives us 78. Then, we remove 3 from the answer, giving us 75. Then, divide 75 by 3.
Answer = 25.
(ps: sorry for any spelling mistakes, i dont really type answers alot)
If you are able to buy 3 of the same item with 3 tickets left over. As a result, 1 item cost 26 tickets.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, You win 50 tickets, 12 tickets, and 16 tickets at an arcade. You are able to buy 3 of the same item with 3 tickets left over.
Number of tickets won,
= 50 + 12 + 16
= 78 tickets
Number of items bought = 3 items
Let the cost of 1 item be 'x' tickets.
The cost of 3 items = 3x
By the amount, we can buy 78 tickets as,
3x = 78
x = 26
Thus, if you are able to buy 3 of the same item with 3 tickets left over. As a result, 1 item cost 26 tickets.
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IM GIVING BRAINLY I NEED HELP ASAPP
Answers
Answer:
C
Step-by-step explanation:
Rate change = Change in Y/ Change in Xy=mx+cand for graph, rate change is 10(10 units change in Y for every 1 unit change in X) whereas another function's rate change is 4
C= is y-intercept
and in graph its -6 whereas in function its -8, so graph has higher y-intercept
Graph: Rate of change = 10, y-intercept = -6
Function: Rate of change = 10, y-intercept = -8
Solve for s in terms of p, q, and r.
q= –spr
Answers
Answer:
[tex]\sf s =\dfrac{-q}{pr}[/tex]
Step-by-step explanation:
Solve for s:q = -spr
-spr = q
Isolate 's' by dividing both sides by (-pr).
[tex]\sf \dfrac{-spr}{-pr}=\dfrac{q}{-pr}\\\\\\ s = \dfrac{-q}{pr}[/tex]
Raina wants to wallpaper the back wall of her bedroom. The wall is in the shape of a rectangle. Its length is 12 feet and its width is 11 feet. Suppose wallpaper costs $9 for each square foot. How much will wallpaper cost for the wall?
Answers
Area of wall: 12*11=132 ft^2
132 sq * $9 per sq ft = $1188
Expandthis please (x+2y) 5
Answers
Answer:
5x+10y
Step-by-step explanation:
to expand we distribute each term with 5
5(x)+5(2y)
5x+10y
Hopes this helps please mark brainliest
Answer: 5x + 10y
Step-by-step explanation:
Re-order terms so constants are on the left
(x+2y)x5
5(x+2y)
Distribute
5(x+2y)
5x+10y
Help me in this proportion maths problems
Answers
y is inversely proportional to the square of x, here y in terms of x is 2/5.
From the given problem y is inversely proportional to the square of x.
A table of values for x and y is shown.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
From the table:
(a) As we know that, y is inversely proportional to the square of x,
Here k is proportionality constant.
y∝1/x²
y= k/x²
4=k/1²
k=4
So, y in terms of x is y=4/x²
(b) Putting the value of y=25, we get:
25=4/x²
x²=4/25
x=2/5
Therefore, y is inversely proportional to the square of x, here y in terms of x is 2/5.
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please help! i dont knnow what to do
Answers
Answer: g= 61/5 or 12.2
Step-by-step explanation: