Answer:
x° = 34°
Step-by-step explanation:
First, find the interior angle supplementary to the given exterior angle 124°.
I will label it y.
124° + y° = 180°
y° = 180° - 124°
y° = 56°
Next, solve for x° by equating the sum of the interior angles of the triangle to 180° and plugging in the y-value that we just solved for.
x° + y° + 90° = 180°
x° + y° = 90°
x° + 56° = 90°
x° = 90° - 56°
x° = 34°
Answer:
x = 34---------------------------
Exterior angle in the triangle is the sum of remote interior angles124 = x + 90x = 124 - 90x = 34It takes an older computer 3 times as long to send out a company's email as it does a newer computer. Working together, it takes the two computers 15 minutes to send out the email. How long will it take the older computer to send out the email on its own?
60 minutes will be taken by the older computer to send out the email on its own.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
one computer takes x minutes and the other takes 3x minutes
in 1 minute, they send (1/x) and (1/3x) of the total message
together, (15/x)+(15/3x)=1, the full message
multiply by 3x to clear fractions
45+15=3x
60=3x
Divide both sides by 3
20=x
So for older computer 60 minutes it take to send out the email on its own.
Hence, 60 minutes will be taken by the older computer to send out the email on its own.
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Please help!
Find the amount of money( future value) in an account where 8,800 is deposited ( present value) at an interest rate 6.5% per year compounded continuously and the money is left in the account for 7 years.
The final amount is $ ?
Round your answer to 2 decimal places.
By using the formula for amount of money in a compound interest, it can be calculated that
Amount received after 7 years is $13675.08
What is a compound interest?
If the interest on a certain principal at a certain rate over a certain period of time increases exponentially rather than linearly, then the interest earned is called compound interest.
If p is the principal, r is the rate and n is the time in years, then
amount = [tex]p(1+\frac{r}{100})^n[/tex]
Difference between amount and principal gives the compound interest.
Principal = $8800
Rate = 6.5 %
Time = 7 years
Amount received = [tex]8800(1 + \frac{6.5}{100})^7[/tex]
$13675.08
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Suppose a large consignment of compact discs contained 13% defectives.
If a sample of size 329 is selected, what is the probability that the sample proportion will differ from the population proportion by more than 3%? Round your answer to four decimal places.
The probability that the sample proportion will differ from the population proportion by more than 3% is 0.8948
How to calculate the probability?The requirement to solve the probability between z-values is to know that the probability between the z-values is the difference between the probability of the greatest z-value and the lowest z-value.
In this case, the sample proportion:
= ✓[p(1 - p)/n]
= ✓(0.13 × 0.87)/329
= 0.01854.
The probability will be:
P(-0.03 / 0.01854) < z < (0.03 / 0.01854)
P(-1.62 < z < 1.62)
Looking at the z table, the probability is 0.08948
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Write an expression, in terms of h, for the perimeter of this triangle.
Simplify your answer fully.
7
14-6h
3h+3
Answer:
P = 24 - 3h-----------------------------------
It is assumed the sides of the triangle are7, 14 - 6h and 3h + 3Perimeter is the sum of three sidesP = a + b + cP = 7 + 14 - 6h + 3h + 3 = (7 + 14 + 3) + (3h - 6h) = 24 - 3hAnswer:
Perimeter = -3h + 24
Step-by-step explanation:
Forming the expression,
→ 7 + (14 - 6h) + (3h + 3)
Let's simplify the expression,
→ 7 + (14 - 6h) + (3h + 3)
→ 7 + 14 - 6h + 3h + 3
→ (-6h + 3h) + (7 + 14 + 3)
→ -3h + 24
Hence, answer is -3h + 24.
ANSWER PLEASE!
Armando lost 975 coins playing his
favorite video game. He lost the same number of coins in each of the 15 levels he played. What was the change in Armando's coins at the end of each level of the game?
Answer: 81.25
Step-by-step explanation:
Answer:
Armando lost 65 coins each level.
Step-by-step explanation:
Given information,
→ Armando lost 975 coins playing his favorite video game.
→ He lost the same number of coins in each of the 15 levels he played.
Forming the equation,
→ 15x = 975
Now required value of x will be,
→ 15x = 975
→ x = 975/15
→ [ x = 65 ]
Hence, he lost 65 coins each level.
Describe the transformers of the parent function, f(x)=x, performed to create g(x).
g(x)= -3 • f(x) + 1
The function g(x) is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit of the parent function f(x).
What is a function?A capability is a declaration, idea, or rule that lays out a relationship between two factors. Capabilities might be found all through science and are fundamental for the advancement of huge connections.
The functions are given below.
f(x) = x
g(x) = -3f(x) + 1
g(x) = -3x + 1
The parent function is a reflection over the x-axis and stretch by 3 units and shifted upward by 1 unit.
The functions g(x) and f(x) are shown below.
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For f(x)=3x+18, what is the value of x for which f(x) =21
a. x=2
b. x=5
c. x=1
d. x=-1
Answer:
I believe the answer is C
Step-by-step explanation:
a. would = 24b. would = 33c. would = 21d. would = 15 :)a nutrition label on a protein bar shows that the bar contains 7% of the daily recommended amount of carbohydrates. there are 20 grams of carbohydrates are recommended in the protein bar. how many grams of carbohydrates ar recommended per day? round your answer to the nearest whole. PLEASE HELP WITH N EXPLANATION
The daily amount in grams of the recommended carbohydrates is 2587.15 grams
How to solve for the amount of recommended carbohydrateThe amount of daily recommended carbohydrate is solved by dividing the quantity of carbohydrate in the protein bar by the percentage contained in the bar
The problem deals with percentage and 7% is written as
7%
= 7 percent
= 7 / 100
= 0.07
The factor 0.07 of the daily recommended amount of carbohydrates gives 20 grams of carbohydrate
let the daily recommended amount of carbohydrates be x
0.07 * x = 200
0.07x = 200
x = 200 / 0.07
x = 2587.15 grams
The daily recommended amount of carbohydrates is 2587.15 gram
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A ramp goes from a doorway of a building to the ground. The end of the ramp connected to the doorway is 1 foot above the ground. The distance along the ramp to the building is 5 feet. What is the angle of elevation of the ramp to the nearest degree?
A. 11°
B. 0°
C. 12°
D. 1°
Using the trigonometry ratio, he angle of elevation of the ramp to the nearest degree is 11°.
In the given question,
A ramp goes from a doorway of a building to the ground.
The end of the ramp connected to the doorway is 1 foot above the ground.
The distance along the ramp to the building is 5 feet.
We have to find the angle of elevation of the ramp to the nearest degree.
The distance is 5 feet.
The height is 1 foot.
To find the angle of elevation we used the trigonometry ratio.
According the trigonometry ratio, we know that tangent is the ratio between height and distance.
We can write it as
tan A=height/distance
Now putting the value
tan A=1/5
tan A=0.2
So A = arctan(0.2)
A = 11.30°
A ≈ 11°
Hence, the angle of elevation of the ramp to the nearest degree is 11°.
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There are 40 students in class. 12 like pink best, 4 like yellow and the rest blue. What fraction of the class likes blue?
Answer: [tex]\frac{3}{5}[/tex]of the class like blue
Step-by-step explanation:
There are : 40 - 12 - 4 = 24 ( students like blue )
[tex]\frac{24}{40}[/tex]= [tex]\frac{3}{5}[/tex]
4.5,3,1.5,0 fin the difference in the following sequence
-1.5 is the difference in the sequence
How determine the difference in a sequence?
An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms are the same.
The difference is usually called the common difference. For example, the sequence 3, 6, 9, 12 have a common difference of 3 i.e. 6-3 = 3 or 9-6 = 3
Given: the sequence 4.5,3,1.5,0
The difference = 3 - 4.5 = -1.5 or 1.5-3 = -1.5
Note: You can pick any two consecutive terms to get the difference
Therefore, the difference in the sequence is -1.5
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the length of a rectangle is 2 feet more than the width. Find the minimum dimensions if the perimeter is more than 16 feet and the length and width are integers.
Answer:
L = 6 feet ; W = 4 feet
Step-by-step explanation:
l = 2 + w
perimeter/2 = 8
l + w > 8
2 + w + w > 8
2 + 2w > 8
2w > 8-2
2w > 6
2/2 w > 6/2
w > 3
smallest integer > 3 = 4
W= 4
L = 4 + 2 = 6
Solve for r.
r/3 + 16 = 19
Answer:
r = 9
Step-by-step explanation:
Hello!
Solve for r by isolating the variable.
Solve for r[tex]\frac r3 + 16 = 19[/tex] Subtract 16 from both sides[tex]\frac r3 = 3[/tex] Multiply both sides by 3[tex]r = 9[/tex]The value of r is 9.
What is the equation of the line in standard form?
A. x-2y=4
B. x+2y=4
C. 2x+y=2
D. 2r-y-2
Answer:
D. 2x -y = 2
Step-by-step explanation:
You want to know the standard-form equation of the line through points (-1, 4) and (2, 2) as shown on the graph.
Intercept formThe graph shows the x-intercept of the line is a=1, and the y-intercept of the line is b=-2. This means the intercept form of the equation is ...
x/a +y/b = 1
x/1 +y/(-2) = 1
Standard formMultiplying this equation by 2 gives ...
2x -y = 2 . . . . the standard form equation for the line
__
Additional comment
The standard form equation can also be developed from the coordinates of points on the line:
(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1
(2 -(-4))x -(2 -(-1))y = (2 -(-4))(-1) -(2 -(-1))(-4)
6x -3y = -6 +12
Dividing by 3 gives the standard form equation ...
2x -y = 2
if h(x)= 1-7x find the value of 23-h(9)=
85
Step-by-step explanation:
Given,
[tex]{ \pink{ \sf{h(x) = 1 - 7x}}} \: { \to} \: { \tt{eq}^{n} (1)}[/tex]
Put x = 9 in Eqⁿ (1)
[tex]{ \pink{ \sf{h(9) = 1 - 7(9)}}}[/tex]
[tex]{ \pink{ \sf{h(9) = 1 - 63}}}[/tex]
[tex]{ \red{ \boxed{ \pink{ \sf{h(9) = - 62}}}}}[/tex]
Let
[tex]{ \green{ \sf{23 - h(9)}}} \: { \to} \: { \tt{ {eq}^{n} (2)}}[/tex]
Substitute the value of h(9) in Eqⁿ (2)
[tex]{ \green{ \sf{23 - ( - 62)}}}[/tex]
[tex]{ \green{ \sf{23 + 62}}}[/tex]
[tex] = { \pink{ \boxed{ \red{ \sf{85}}}}}[/tex]
What must the value of x be in order to prove that
AEFG a AEHG by SSS?
The value of x will be= 90 degress.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
triangle 1= traingle290=90. perpendicularwith the help of sas propertyboth angles are equal.hence,The value of x will be= 90 degress.
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I don't understand how to do this, pls help :(
Answer: A
Step-by-step explanation:
A line is perpendicular to y = 6x +3
and intersects the point (6, 1).
Find the equation for this line.
y-1=-(x-[?])
Answer:
1
Step-by-step explanation:
Perpendicuar lines have slopes that are opposite reciprocals: 6 ==> -1/6
y=mx+b
y=-x/6 + b ==> plug in slope -1/6 into slope equation
1 = -6/6 + b ==> plug in x and y values into slope equation
1 = -1 + b
1 + 1 = -1 + 1 + b
b = 2 ==> solve for b
y = -x/6 + 2 ==> plug in the value of b into the equation
y - 1 = -x/6 + 2 - 1
y - 1 = -x/6 + 1
y - 1 = -(x/6-1) ==> answer: 1
if q is 3x+ 6 and AC is 8x+8 what is the length of AC? Round your answer to the nearest hundredth
Answer:
AC = 24Step-by-step explanation:
AC is the diagonal of the parallelogram ADCB.
q is half of AC, therefore:
AC = 2qSubstitute values and solve for x:
8x + 8 = 2(3x + 6)8x + 8 = 6x + 128x - 6x = 12 - 82x = 4x = 2Find the length of AC:
AC = 8*2 + 8 = 16 + 8 = 24NEED HELP ASAPPPPPPPP
1) In figure 4, the area of the square os 16cubes. The shaded part is 7cubes, being one less than 4^2 or 4*4. The formula is n+n-1. This can be put in for 5 too. 5+5-1=9.
2) Using the formula, 50+50-1=99. Therefor, the shaded squares in the 50th figure would be 99.
Complete sentence:
1) The formula for the number of shaded squares in the Nth figure is n+n-1.
2) There would be 99 shaded squares in the 50th figure.
explanation: Knowing that the area of a square is length*width, in this case because the figures are squares, the length and the width are both the same number. From this, we can tell that for figure 45, the length is 45 and so this the width. The one square in the corner is both the length and the width so this is why we take 1 away or -1.
do we have to find x using quadratic formula or what?
Step-by-step explanation:
The base of the separated triangle is (x+5) - (2x - 4) = x + 5 - 2x + 4 = 9 - x
So, area of the separated triangle would be:-
1/2 * b* h
or, 1/2 * (9-x)* (x+3)
or, (6x + 27 - x² )/2
Total area of trapezium = (6x + 27 - x²)/2 + (2x-4)(x + 3)
or, 60 = (6x + 27 - x²)/2 + 2x² + 2x - 12
or, 60 = (6x + 27 - x² + 4x² + 4x - 24)/2
or, 120 = 10x + 3x² + 3
or, 0 = 3x² + 10x + 3 - 120
hence, 3x² + 10x - 117 = 0 (proved)
Again,
Use quadratic formula to figure out value of x.
(It woun't be a natural number)
Write the value of x with only one digit after it's decimal.
81 to the 5th power = 3x
x=?
The value of x according to the given equation as in the task content is; 3¹⁹.
What is the value of x according to the given expression?It follows from the task content that the value of x is to be determined from the equation given in the task content.
Therefore, since the equation given in the task content is;
(81)⁵ = 3x
(3⁴)⁵ = 3x
3²⁰ = 3x
Therefore, the value of x can be evaluated as;
x = 3²⁰/3
x = 3¹⁹.
Ultimately, the value of x from the given equation is; 3¹⁹.
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What percent is 199 is 761
Answer:
Step-by-step explanation:
Solutionx% of 199 is 761 is 382.41206…% Answer
Convert x% into a decimal and multiply by 199
In order to convert a percent to a ratio, divide it by 100:
a%=a100
a=x
x% =x100
Convert to decimal form=0.01x
Multiply 0.01x by 199
=0.01x· 199=1.99x
Solve 1.99x=761
1.99x=761
x=761/1.99
x=382.41206%
What is the simplest fraction equal to 9%?
Notebook paper is about 0.003 in. thick. If you cut a sheet of paper in half, stack one piece on top of the other, cut those in half, stack all the pieces together, repeating this process 20 times, how high will the stack of paper be?
Answer:
765
Step-by-step explanation:
NEED HELP ASAP
What is the value of y in the solution to this system of equations 6y+x= -59 x= -2y+9?
Answer:
y = - 17
Step-by-step explanation:
6y + x = - 59 → (1)
x = - 2y + 9 → (2)
substitute x = - 2y + 9 into (1)
6y - 2y + 9 = - 59
4y + 9 = - 59 ( subtract 9 from both sides )
4y = - 68 ( divide both sides by 4 )
y = - 17
Please Help!!!!
Kim and Tracy are collecting data for their final project in their psychology
class, in which they are conducting a survey about people’s overall job
satisfaction. They decide to go to the local mall to collect their data. To get a
more varied sample, Kim surveys shoppers coming out of store A, a discount
clothing store, while Tracy surveys shoppers coming out of store B, a high-end
boutique.
A. Identify a possible problem with this type of sampling method. (6 points)
B. How might Kim and Tracy improve on their sample design so as to get more
accurate information from the shoppers at the mall?
Answer:
below
Step-by-step explanation:
A problem would be that they are not surveying people from multiple places. They are doing it at 2 opposite stores, at the same times. They should try multiple different stores at other days and times to get more objective data.
HELPP ME PLEASEEEEEE
Answer:
We can see that as x increases, y decreases. This indicates a negative slope meaning that the two variables are negatively related.
Hope this helps! :)
Anna Marie goes to dinner at a restaurant where the sale tax on meals is 9%. she leaves a tip that is 175% of the amount of sales tax. if her total bill is $45 what was the cost of her meal and what percent tip did she leave
Answer: $78.75
Step-by-step explanation:
You have to multiply the price by tax and add
To go to the theater you would pay $8.00 for each ticket you purchase. Which answer choice correctly represents the algebraic expression for the cost of t tickets?
A. 8t
B. 8 + t
C. 8 – t
D.
Answer:
Step-by-step explanation:
a