Answer:
∠7 . However ∠7 and ∠8 are vertical angles which are equal,
Step-by-step explanation:
Angle ∠7, but because ∠7 and ∠8 are vertical angles and they are equal also.
∠5 corresponds to ∠7
m ∠7 = m ∠8 vertical angles are =
I will say ∠7 and ∠8.
If a = 2 and b = 3, what is the value of 2a³b2?
Answer:384
Step-by-step explanation:
first you multiply 2 times 2= 4 then 4 times 4 times 4= 64 then you multiply 3 times 2= 6 lastly you multiply 6 and 64. your welcome:)
Find the value of MP! Need help!
Answer:
c) 118°
Step-by-step explanation:
PN is the diameter of the given circle.
\( \purple {\bold {\therefore m(\widehat{PMN}) = 180°}}.... (1)\\\)
Now, by inscribed angle theorem:
\( m\widehat {MN} = 2\times m\angle MPN\\
\therefore m\widehat {MN} = 2\times 31°\\
\red{\bold {\therefore m(\widehat {MN}) = 62°}}....(2) \\\\\)
Now,
\( \because m(\widehat{MP}) + m(\widehat{MN}) =m(\widehat{PMN})\\
\therefore m(\widehat{MP}) + 62° =180°\\
\therefore m(\widehat{MP}) =180°-62°\\
\huge \orange {\boxed {\therefore m(\widehat{MP}) =118°}} \\\)
Solve for m:
-3(1 – 5m) = — 38 + 8m
Answer:
m = - 5
Step-by-step Explanation:
\(-3(1-5m)=-38+8m \\ \\ - 3 + 15m = - 38 + 8m \\ \\ 15m - 8m = 3 - 38 \\ \\ 7m = - 35 \\ \\ m = \frac{ - 35}{7} \\ \\ \huge \purple{ \boxed{m = - 5}}\)
Answer:
-5
Step-by-step explanation:
Enter the number that belongs in the green box
Check the picture below.
\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{10^2+4^2-7^2}{2(10)(4)}\right)=\measuredangle A \implies \cos^{-1}\left(\cfrac{ 67 }{ 80 }\right)=\measuredangle A \\\\\\ \cos^{-1}(0.8375) = \measuredangle A \implies 33.12^o \approx \measuredangle A\)
Make sure your calculator is in Degree mode.
An airline ticket costs $220. Jameson receives a 10% discount on the ticket but is also charged an 8.25% service fee. what is the discounted price of the ticket? What is the total cost of the ticket with the discount and service fee?
The discounted price of the ticket is $198.
The total cost of the ticket with the discount and service fee is $214.33.
What is a percentage?A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."
Given:
The cost of a ticket on an airline is $220.
And Jameson receives a discount of 10%.
To find the discounted price:
The discounted price = 220 - 220 x 10 / 100
The discounted price = $198.
And the service charge is 8.25%.
So, the amount of service charge,
= 198 x 8.25/100
= 16.33
The total cost of a ticket = $198 + $16.33 = $214.33
Therefore, the cost is $214.33.
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write the equations after translating the graph of y=|x+2| one unit to the right
write the equations after translating the graph of y=|x+2| one unit to the left
find a polynomial function with the leading coefficient one or negative 1 that has the given zeros multiplicity and degrees 01 multiplicity to 03 multiplicity to degree 4
The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).
Find a polynomial function ?The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).
It then crosses the -6 root to turn positive until it again crosses the -2 root.
(It crosses because the odd multiplicity of both roots)
The function remains negative from -2 until root 4, where it crosses into the positive, where it does not cross since there is an even multiplicity.
In light of the aforementioned, only the first option makes sense. because the leading coefficient is positive and the highest degree is odd (9) the function is negative for (-inf, -6).
Then it crosses the -6 root to become positive until it crosses again the root -2.
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The Formula for the volume of a right square pyramid is given down below, where a is the side length of the base and h is the height.
V= 1/3a^2h
Rewrite the formula and solve for a
PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT
Answer: Is it B? I hope it helps you :)
Step-by-step explanation:
Please help!
Whoever answers right gets brainliest!!!!
Answer:
\(y - 4 = - 3(x - 2)\)
Solve the simultaneous equations
8x – 3y = 30
3x + y = 7
Two cars travel at the same speed to different destinations. Car A reaches its destination in 25 minutes. Car B reaches its destination in 35 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel?
Step-by-step explanation:
speed = distance / time
distance = speed × time
they both have the same speed.
distanceB = distanceA + 4
so,
distanceA = speed × 25 min
distanceB = distanceA + 4 = speed × 35 min
distanceA = speed × 35 - 4
both distanceA expressions must be equal :
speed × 25 = speed × 35 - 4
subtract 25speed from both sides
0 = speed × 10 - 4
add 4 to both sides
4 = speed×10 min
divide both sides by 10 min
4 miles / 10 min = speed
to get the usual miles per hour, we need to multiply numerator and denominator by the same number, so that the denominator is 1 hour = 60 minutes.
as we cab see, we need to multiply by 6/6 :
4/10 × 6/6 = 24/60 = 24 miles per hour.
-2 1/4 divided by -1 1/2
Answer: 1 1/2
Step-by-step explanation:
Fill in the chart to graph the equation 2x+y=10
The required chart to draw the graph is
x - 1 0 1 2
y 10 12 8 6
Making chart to draw a graph:To make the required table we need to take x values and from that, we need to calculate 'y' values by using the given equation.
For example, take x = 0 and substitute the 'x' value in the given equation and find the value of 'y'.
Here we have
The equation of the graph is 2x+y = 10
The values of a chart that is used to create the graph can be calculated as follows
Take x = 0
=> 2(0) + y = 10
=> y = 10
Take x = 1
=> 2(1) + y = 10
=> y = 10 - 2
=> y = 8
Take x = - 1
=> 2(-1) + y = 10
=> -2 + y = 10
=> y = 12
Take x = 2
=> 2(2) + y = 10
=> 4 + y = 10
=> y = 6
Therefore,
The required chart to draw the graph is
x - 1 0 1 2
y 10 12 8 6
Therefore,
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12 15 18 A' B V C Identify the reflection rule to map AABC onto AA'B'C' in the given figure. A) Reflection across the origin. B) Reflection across the line y = x. C) Reflection across the line y = -X. D) Reflection across the x-axis.
The reflection rule for the given graph is Option A.
What is reflection?
Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.
Given the graph of triangle ABC under reflection, we analyse each answer choice one by one
For Option A) Reflection across the origin, the y-coordinate is negated, as well as the x-coordinate (their signs are changed). The image of the point (x,y) is the point in a point reflected in the origin (-x,-y).
So, A(-3,-1) becomes A'(3,1) which is correct for the given coordinates of the reflected graph of the figure.
Hence, Option A is the correct choice and the remaining choices are eliminated.
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Rafael and Lucy, married taxpayers, each contribute $2,850 to their respective § 401(k) plans offered through their employers. The AGI reported on the couple's joint return is $40,500. Determine their credit for retirement plan contributions (the Saver’s Credit).
Answer:
Rafael and Lucy's credit for retirement plan contributions is $570.
Step-by-step explanation:
The Saver's Credit is a tax credit for low and moderate-income taxpayers who make contributions to a retirement plan. The credit is worth between 10% and 50% of the taxpayer's contributions, up to a maximum credit of $1,000 ($2,000 for married taxpayers filing jointly).
To determine the credit amount, we need to calculate the taxpayers' adjusted gross income (AGI) and their credit rate.
For the tax year in question, the AGI is $40,500 and the contribution limit is $2,850 per person. The total contribution amount is $2,850 x 2 = $5,700.
The credit rate is determined by the taxpayer's AGI and filing status, as follows:
For AGI up to $19,750 for married taxpayers filing jointly, the credit rate is 50%.
For AGI between $19,750 and $32,000 for married taxpayers filing jointly, the credit rate is 20%.
For AGI between $32,000 and $40,000 for married taxpayers filing jointly, the credit rate is 10%.
For AGI above $40,000 for married taxpayers filing jointly, the credit is not available.
Since the taxpayers' AGI is $40,500, the credit rate is 10%. The credit amount is calculated as follows:
Credit amount = Credit rate x Contribution amount
Credit amount = 10% x $5,700 = $570
So, Rafael and Lucy's credit for retirement plan contributions is $570.
How much more would the value of y be on the graph than its value
in the table when x = 12? (1 point)
Answer:
180
Step-by-step explanation:
From the table :
Slope :
m = (y2 - y1) / (x2 - x1)
m = (100 - 80) / (5 - 4)
m = 20 / 1
m = 20
y = 20x
Hence, when, x = 12
y = 20 * 12
y = 240
From the graph:
Slope :
m = (y2 - y1) / (x2 - x1)
m = (280 - 70) / (8 - 2)
m = 210 / 6
m = 35
y = 35x
When x = 12
Graph :
y = 35 * 12
y = 420
Difference :
420 - 240
= 180
In a batch of pedometers, are believed to be defective. A quality-control engineer randomly selects units to test. Let random variable Xthe number of defective units that are among the units tested. The probability mass function f(x)P(Xx) is given below. f(x){(0,), (1,), (2,), (3,)} Recall that the mean of a discrete random variable X with probability mass function f(x)P(Xx) is given by . Find for the probability mass function above. What does this number represent?
Answer:
The mean for the probability mass function is 0.64287.
Step-by-step explanation:
The complete question is:
In a batch of 28 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 6 units to test. Let random variable X = the number of defective units that are among the units tested.
The probability mass function f (x) is:
f (x) = {(0, 0.47009), (1, 0.42308), (2, 0.10073), (3, 0.00611)}
Solution:
The mean of a discrete random variable X with probability mass function f (x) is:
\(\mu=\sum\limits^{n}_{x=1}{x\times f(x)}\)
Compute the mean for the probability mass function above as follows:
\(\mu=\sum\limits^{n}_{x=1}{x\times f(x)}\)
\(=(0\times 0.47009)+(1\times 0.42308)+(2\times 0.10073)+(3\times 0.00611)\\=0+0.42308+0.20146+0.01833\\=0.64287\)
Thus, the mean for the probability mass function is 0.64287.
This values represents the expected number of defective units for every 6 units tested.
Pls help me
What is the sequence of transformations that maps triangle PQR onto triangle P prime, Q prime R prime. Use the drop-down menus to explain your answer.
Pls help
A dilation with a center (0,0), a scale factor of 2, with a reflection across the line x = 1.
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The vertices of each figure are given as follows:
P(-1,1), R(-3,1) and Q(-2,3).P'(2,2), R'(5,2) and Q'(4.5, 6).The ratio between the distances of the equivalent sides on each image is of two, hence the scale factor is of two.
The two lines are equidistant from the line x = 1, hence the reflection is over the line x = 1.
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Solve and check |2x + 1| = 9
Answer:
so the lines mean absolute value
which is the exact distance from zero that the number is
now
you subtract one from nine which makes it 2x=8
then
you divide nine by 2x which makes it
x=4
So the answer is four
if it helps mark me brainliest please
Answer:
-5,4
Step-by-step explanation:
I know that 2 numbers will work because it's an absolute function.
2x+1=9
2x=8
x=4
2(-5)+1=|-9| = 9
Suppose a car travels 340 miles in 6 hours. What is the unit rate of miles per hour? Use the unit rate to find the distance the car could travel after 9 hours. What assumptions are made in this situation?
Answer:
Unit rate: 56.67 miles per hour
9 hours: 510 miles
plz mark brainliest :DD
Answer:
1. 56.66666667
2.504
Step-by-step explanation:
The container that holds the water for the football team is
1/2
full. After pouring in 9 gallons of water, it is 4/5 full. How many gallons can the container hold?
Answer:
45
Step-by-step explanation:
nnnnnnnnnnbbbbbbbhhhhbjjjj
Lily invested $5000 at 3% interest componded annually. What is the balance in the
account after 8 years?
Answer:
Principal = 20833.334
Step-by-step explanation:
simple interest = $5000.
Rate = 3%
Time = 8 years.
Principal = ?
Principal =
\( = \frac{100 \times simple \: interest}{r \times t} \\ = \frac{100 \times5000 }{3 \times 8} \\ = \frac{500000}{24 \\ } \\ = 20833.334\)
Principal = $20833.334.
In the figure, BE||CD, B is the midpoint of AC, and E is the midpoint of AD
Answer:
A. 8
Step-by-step explanation:
BE = ½(CD) (midsegment theorem)
BE = 2x - 10
CD = 12
Plug in the values
2x - 10 = ½(12)
2x - 10 = 6
Add 10 to both sides
2x - 10 + 10 = 6 + 10 (addition property of equality)
2x = 16 (addition property of equality)
Divide both sides by 2
2x/2 = 16/2
x = 8 (division property of equality)
For each statement below enter a T (true) the statement is true and an F (false) otherwise. In this problem you need to get everything correct before receiving credit. Whenever there is a division below, we assume that the divisor is non-zero. We also assume that where it matters the base of any power is positive.
_____For all real numbers a, b, and c a^b a^c = a^be
_____For all real numbers a, b, and c a^b a^c = a^b+c
_____For all real numbers a and b a^-b= a/a^b
_____For all real numbers a and b a^-b = -a^b
_____For all real numbers a and b a^b = ab
Answer:
T
T
T
T
T
T
F
Step-by-step explanation:
adjacent leg - hypotenuse = 0.139
a. 14°
opposite leg - adjacent leg = 0.249
b. 28°
opposite leg - hypotenuse = 0.469
C. 47°
adjacent leg - hypotenuse = 0.682
d 58°
opposite leg - hypotenuse 0.848
e. 82°
Answer:
i. 82°
ii. 14°
iii. 28°
iv. 47°
v. 58°
Step-by-step explanation:
The trigonometric functions are given as:
Sin θ = \(\frac{opposite}{hypotenus}\)
Cos θ = \(\frac{adjacent}{hypotenuse}\)
Tan θ = \(\frac{opposite}{adjacent}\)
Thus,
i. adjacent leg / hypotenuse = 0.139 = Cos θ
θ = \(Cos^{-1}\) 0.139
= 82°
ii. opposite leg / adjacent leg = 0.249 = Tan θ
θ = \(Tan^{-1}\) 0.249
= 14°
iii. opposite leg / hypotenuse = 0.469 = Sin θ
θ = \(Sin^{-1}\) 0.469
= 28°
iv. adjacent leg / hypotenuse = 0.682 = Cos θ
θ = \(Cos^{-1}\) 0.682
= 47°
v. opposite leg / hypotenuse 0.848 = Sin θ
θ = \(Sin^{-1}\) 0.848
= 58°
Help please I need it as soon as possible
Answer:
y=1/2+3
Step-by-step explanation:
For the first one, 0 and 3. 0/2 is not possible so we just add 3.
Second, 1/2 is 0.5 of 1/2. Plus 3 is 3 1/2.
Third, 2/2 = 1 + 3 = 4.
And last, 3/2 = 1.5 or 1 1/2. 1 1/2 + 3 is 4 1/2
--
Hope this helps!
For
90° < 0 < 270°
, which of the primary trigonometric functions may have positive values?
Answer:
sine and tangent
will be positive.
hazar is having 4 friends over to play video games. Each person will spend $6 on game rental and $4 on drinks and snacks, Write two expressions for the total cost for hazar and his friends
Answer: Here are two possible expressions for the total cost for Hazar and his friends:
The first expression is to add the cost of game rental and drinks and snacks for all the four friends
6x + 4x =10x where x is the number of friends
Second expression is to calculate the cost for each of the 4 friends and then add it together
(6 + 4) * 4 = 40
Both the expressions represent the same outcome, that is the total cost of $40 for Hazar and his friends to play video games.
It's depend on how you want to represent it, both are correct and represents the same outcome.
Step-by-step explanation:
- 2x² + 9x + 15 = 0
Answer:
x1= -1.29436 x2= 5.79436
Step-by-step explanation:
Triangle ABC has coordinates; A(4, 5), B(4,9)
and C(7,5). What is the perimeter of triangle
ABC?
Answer: I think it is 6.4 please don’t give a bad review if not
Step-by-step explanation: 4^2,5^2 and the square root that