Step-by-step explanation:
(a) The slope of the equation y = 9x + 15 is 9, and the y-intercept is 15.
(b) The rate of change or slope of the equation y = 9x + 15 is 9, which represents the constant rate at which the workers are picking oranges. For every hour of work, they pick 9 more oranges. The initial amount or y-intercept of 15 represents the number of oranges they would have picked if they had started working from the beginning of time. However, since this is not possible, it can be interpreted as the number of oranges they picked before starting to work for the period of time that is being measured.
The equation for the number of baskets is an illustration of a linear function.
The slope is 9, and the y-intercept is 15The rate of change is 9, and the initial amount is 15The function is given as:
[tex]\bold{y=9x+15}[/tex]
(a) The slope and the y-intercept
A linear function is represented as:
[tex]\bold{y=mx+b}[/tex]
Where:
m represents the slope, and b represents the y-intercept
By comparison, the slope is 9, and the y-intercept is 15
(b) The rate of change and the initial amount
The rate of change is the slope, and the initial amount is the y-intercept
By comparison, the rate of change is 9, and the is 15
A 7-pack of raffle tickets costs $6.58. What is the unit price?
Answer: 1.06 rounded
Step-by-step explanation:
7/6.58 = 1.06 rounded
Hope it helps I'm running out of time!!
Have a nice day!!!!
Which graph shows the solution to the equation below?
log Subscript 3 Baseline (x + 2) = 1
On a coordinate plane, a curve starts in quadrant 3 and curves up into quadrant 1 and approaches y = 3. It crosses the x-axis at (1, 0). A horizontal straight line is at y = 1.
On a coordinate plane, a curves starts in quadrant 4 and curves up into quadrant 1 and approaches y = 3. It crosses the x-axis at (1, 0). A horizontal straight line is at y = negative 1.
On a coordinate plane, a curve starts in quadrant 3 and curves up into quadrant 1 and approaches y = 1. It crosses the x-axis at (negative 1, 0). A horizontal straight line is at y = 1.
On a coordinate plane, a curves starts in quadrant 3 and curves up into quadrant 1 and approaches y = 2. It crosses the x-axis at (negative 1, 0). A horizontal straight line is at y = negative 1.
Nοne οf the given graphs match this descriptiοn, sο nοne οf them shοw the sοlutiοn tο the equatiοn.
What is the equivalent expressiοn?Equivalent expressiοns are expressiοns that wοrk the same way despite their appearance. If twο algebraic expressiοns are equivalent, then the twο expressiοns have the same value when the variable is set tο the same value.
The equatiοn lοg Subscript 3 Baseline (x + 2) = 1 can be rewritten as 3^1 = x + 2. This simplifies tο x = 1. Therefοre, the sοlutiοn tο the equatiοn is x = 1.
On the cοοrdinate plane, this sοlutiοn is represented by a vertical line passing thrοugh x = 1.
Hence, Nοne οf the given graphs match this descriptiοn, sο nοne οf them shοw the sοlutiοn tο the equatiοn.
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Answer: A
Step-by-step explanation:
PLEASE HELP! NONE OF THE TUTORS ARE ONLINE!
Answer:
4 if x < 3
Step-by-step explanation:
First, find the equation of the line. From the graph we can tell the y-intercept is 4 and the slope is 0. Using y=mx+b, we find that y=(0)x+4 (same as y=4). f(x) is the same as y, so all you have to write is 4.
To find the domain, you must look at where the function is defined. It is only defined to the left of the point (3,4), where x < 3. We know its only defined there because the arrow and line only go in that direction. We know that it should be a < not a ≤ because the point at (3,4) is hollow, so (3,4) is not a point in the function and not included in the domain.
Find the Exact answer:
Answer:
-1
Step-by-step explanation:
calculator
:)
PLEASE PLEASE HELP IT IS DUE TONIGHT!!!
I need help with number 9.
USE MATH WAY IT HELPS ALOT
b/4 + 2 = -1 please help
Answer : The answer is B= -12
A number, x, rounded to the nearest 10 is 630. Another number, y, rounded to the nearest 10 is 420. What are the lower and upper bounds of x + y?
The lower and upper bounds of x + y are 1040 and 1058, respectively.
What are lower bounds and upper bounds?
Lower bounds and upper bounds are used to define the range of possible values for a given quantity or measurement.
A lower bound represents the smallest possible value that a quantity could have, based on the available information or constraints. This means that the actual value of the quantity must be greater than or equal to the lower bound. For example, if we know that a person's height is between 150cm and 170cm, then the lower bound of their height is 150cm.
An upper bound represents the largest possible value that a quantity could have, based on the available information or constraints. This means that the actual value of the quantity must be less than or equal to the upper bound. For example, if we know that a person's weight is between 50kg and 80kg, then the upper bound of their weight is 80kg.
In some cases, we may be able to determine a range of possible values for a quantity using both a lower bound and an upper bound. This range of possible values is sometimes referred to as an interval or a confidence interval.
To find the lower and upper bounds of x + y, we need to consider the possible values of x and y that would result in the maximum and minimum values of their sum when added together.
Let's start by considering the possible values of x and y that would round to 630 and 420, respectively, when rounded to the nearest 10:
x: Any number between 625 and 634 would round to 630 when rounded to the nearest 10.
y: Any number between 415 and 424 would round to 420 when rounded to the nearest 10.
To find the lower bound of x + y, we need to add the smallest possible values of x and y:
Lower bound = 625 + 415 = 1040
To find the upper bound of x + y, we need to add the largest possible values of x and y:
Upper bound = 634 + 424 = 1058
Therefore, the lower and upper bounds of x + y are 1040 and 1058, respectively.
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Which of the following lines is parallel to the line that goes through the points (5, 8) and (3, 6)? Please help me!!!!!!
Answer:
Any line with the slope 1 or y = x + b
Step-by-step explanation:
Parallel lines by definition have the same slope
Value of the y-intercept or b doesn't matter in this case
You have to find the slope of the line through (3,6) and (5,8)
Slope equation is
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]Plug in values given
[tex]\frac{8-6}{5-3}[/tex]
Evaluate
[tex]\frac{2}{2} =1[/tex]
Any line with the slope of 1 (or no co-efficient in front of x) would be parallel to the line through (3,6) and (5,8)
A rectangular prism measures 3 ft by 6ft by 5 ft. if the dimensions of the box were quadrupled, how would the surface area of the box change.
Answer:
The surface area would increase by a factor of 16.
Or you could also say:
Quadrupling the dimensions makes the surface area 16 times the original surface area.
Step-by-step explanation:
The surface area of a rectangular prism is calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
In this case, the surface area of the original rectangular prism with dimensions 3 ft by 6 ft by 5 ft would be: 2(3)(6) + 2(3)(5) + 2(6)(5) = 36 + 30 + 60 = 126 square feet.
If the dimensions of the box were quadrupled, the new dimensions would be 12 ft by 24 ft by 20 ft. The new surface area would be: 2(12)(24) + 2(12)(20) + 2(24)(20) = 576 + 480 + 960 = 2016 square feet.
So, if the dimensions of the box were quadrupled, the surface area would increase from 126 square feet to 2016 square feet. This represents an increase in surface area by a factor of 16.
Abby tosses one penny and Babby tosses two pennies. What is the probability that Babby gets the same number of heads that Abby gets?
The probability that Babby gets the same number of heads that Abby gets is 1/8 + 1/8 = 1/4. To solve this problem, we need to consider all the possible outcomes of Abby and Babby's coin tosses.
There are four possible outcomes for Abby's toss: heads or tails, and two outcomes for Babby's toss: heads or tails. Therefore, there are a total of 4 x 4 = 16 possible outcomes for the two coin tosses.
To determine the probability that Babby gets the same number of heads as Abby, we need to identify the outcomes where this happens. Abby can get either 0 or 1 heads, so we need to consider the outcomes where Babby gets 0 or 1 heads as well.
The possible outcomes where Abby gets 0 heads are:
Abby: tails, Babby: tails tails
Abby: tails, Babby: heads tails
In both of these outcomes, Babby also gets 0 heads, so the probability of this happening is 2/16 = 1/8.
The possible outcomes where Abby gets 1 head are:
Abby: heads, Babby: tails heads or heads tails
Abby: tails, Babby: heads heads
In two of these outcomes, Babby also gets 1 head, so the probability of this happening is 2/16 = 1/8. Therefore, the probability that Babby gets the same number of heads that Abby gets is 1/8 + 1/8 = 1/4.
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An astronomer knows the distances from herself to stars AAA and BBB, as well as the distance between them. The distances are 450450450, 400400400, and 909090 light years (\text{l. Y. }l. Y. Start text, l, point, y, point, end text) respectively.
If the astronomer's telescope is currently pointed at star AAA, how many degrees must she rotate her telescope to see star BBB?
Do not round during your calculations. Round your final answer to the nearest degree
The astronomer must rotate her telescope 86.829° to see star BBB. Rounding to the nearest degree, the astronomer must rotate her telescope 87°.
We can use the law of cosines to solve this problem. The law of cosines states that for a triangle with sides A, B, and C, A2 = B2 + C2 - 2BCcos(θ), where θ is the angle opposite side C.
In our case, A = 450450450, B = 400400400, and C = 909090. We know that angle θ is the angle we need to find, so we can rearrange the equation to solve for θ.
θ = cos-1(A2 - B2 - C2)/(-2BC)
θ = cos-1((450450450)2 - (400400400)2 - (909090)2)/(-2(400400400)(909090))
θ = cos-1(-9.65 × 10-12)/(-2.8 × 1012)
θ = cos-1(-3.4 × 10-13)
θ = 86.829°
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A full glass of water can hold 1/6 of a bottle. How many glasses of water can be filled with 3 1/2 bottles of water?
Answer:
21
Step-by-step explanation:
[tex]\frac{x}{6}=\frac{7}{2} \\x=21[/tex]
Answer:
21 glasses------------------------------
Let the number of glasses be g.
Then g glasses can be filled with 3 1/2 bottles of water.
Set up equation to represent this and solve for g:
(1/6)g = 3 1/2(1/6)g = 7/2g = 7/2 : 1/6 g = 7/2 * 6g = 7*3g = 21HOW CAN I SOLVE THIS ASAP??
in this problem you will solve the nonhomogeneous system a. write a fundamental matrix for the associated homogeneous system 1 1 2 0 b. compute the inverse c. multiply by and integrate (do not include and in your answers). d. give the solution to the system (do not include and in your answers). if you don't get this in 2 tries, you can get a hint.
a. Φ(t)= P.D.[tex]P^{-1}[/tex] is the fundamental matrix of the homogeneous system.
b. [tex]P^{-1}[/tex]= 1/√5 || 1 2 || || -2 1 || is the inverse
c. x(t)= Φ(t)∫ Φ(t)-1.b(t) dt + Φ(t).[tex]x_0[/tex]
d. The solution to the system is x(t)= || e-t/√5 (1-e2t)/2√5 - (2e2t -3)/2√5 || || 1/√5 e-t/√5 +2/√5 (e2t-1)/2√5 ||
In this problem, we will solve the nonhomogeneous system.
Firstly, we will write a fundamental matrix for the associated homogeneous system 1 1 2 0.
a) Fundamental matrix for the homogeneous system
The homogeneous system of equations can be written as:
X'=AX
Here, X is the vector of unknowns, and A is a matrix of constants.
For the given homogeneous system of equations, we have:
1 1 2 0X1' X2'= 1 2 X1X2
X'= AX
Thus, the matrix A can be written as:
A= 1 2 1 0
Now, let us solve the eigenvalue problem for matrix A as follows:
| A - λI |= 0
⇒| 1 - λ 2 || 1 || λ - 0 || 1 || 2 || 0 - λ || 0 |
⇒ (1-λ)(0-λ)-2⋅1=0
⇒ λ2 - λ - 2 = 0
On solving, we get:
λ1 = -1 and λ2 = 2
Thus, the eigenvectors corresponding to these eigenvalues are:
For λ1 = -1, A - (-1)I= 2 2 || x || = 0 1 || y ||
⇒2x+2y = 0y = -2x
Thus, the eigenvector corresponding to λ1 is:
x1= || 1 || and x2 = || -2 ||
The normalized eigenvector corresponding to λ1 is:
x1= || 1/√5 || and x2 = || -2/√5 ||
For λ2 = 2, A - 2I= -1 2 || x || = 0 -2 || y ||
⇒-x+2y = 0y = 1/2x
Thus, the eigenvector corresponding to λ2 is:
x1= || 2 || and x2 = || 1 ||
The normalized eigenvector corresponding to λ2 is:
x1= || 2/√5 || and x2 = || 1/√5 ||
Thus, the matrix P of eigenvectors is:
P= || 1/√5 -2/√5 || || 2/√5 1/√5 ||
Hence, the fundamental matrix of the homogeneous system is:
Φ(t)= P.D.[tex]P^{-1}[/tex]
where D= diagonal matrix of eigenvalues= || -1 0 || || 0 2 ||and [tex]P^{-1}[/tex] is the inverse of matrix P.
We will now find the inverse of matrix P.
b) Computation of inverse of matrix P
The inverse of matrix P is:
[tex]P^{-1}[/tex]= 1/√5 || 1 2 || || -2 1 ||
c) Multiplication by and integration
Multiplying Φ(t) by e
At, we have:e AtΦ(t)= PeDt.
[tex]P^{-1}[/tex].eAt= P.|| e-1t 0 || || 0 e2t ||.[tex]P^{-1}[/tex]
The solution to the system is:
x(t)= Φ(t)∫ Φ(t)-1.b(t) dt + Φ(t).[tex]x_0[/tex]
where b(t) is the vector of inhomogeneous terms, and [tex]x_0[/tex] is the initial condition.
d) Solution to the system
The nonhomogeneous system of equations can be written as:
X'=AX + b
where b= 1 [tex]e^{-t}[/tex]
The solution to the system is:
x(t)= Φ(t)∫ Φ(t)-1.b(t) dt + Φ(t).x0= P.|| e-t/√5 (e2t -1)/2√5 || || -2(e2t-1)/2√5 e-t/√5 ||.P-1 .|| 0 || || 1 ||+ P.|| 1/√5 -2/√5 || || e-t/√5 (e2t -1)/2√5 || || -2(e2t-1)/2√5 e-t/√5 ||.P-1 .|| -1/√5 || || 2/√5 ||= || 1/√5 -2/√5 || || e-t/√5 (1-e2t)/2√5 || || (e2t-3)/2√5 e-t/√5 ||.|| 0 || || 1 ||+ || 1/√5 -2/√5 || || e-t/√5 (e2t -1)/2√5 || || -2(e2t-1)/2√5 e-t/√5 ||.|| -1/√5 || || 2/√5 ||
The final answer is: x(t)= || e-t/√5 (1-e2t)/2√5 - (2e2t -3)/2√5 || || 1/√5 e-t/√5 +2/√5 (e2t-1)/2√5 ||
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Estimate 15 times 34 by rounding each number to the nearest
when performing bedside spirometry on a 35-year-old woman who is 5 feet 7 inches tall, you obtain a peak flow measurement of 2.3 l/sec. the best interpretation of this test result is?
The interpretation of a peak flow measurement obtained from bedside spirometry on a 35-year-old woman who is 5 feet 7 inches tall would suggest that her lung function is lower than what is predicted for her age and height, indicating some degree of airway obstruction or restriction.
To interpret the results of the spirometry test, we need to compare the obtained peak flow measurement to the predicted values based on the individual's age, height, gender, and race. This is because the normal lung function varies depending on these factors.
For instance, the predicted peak flow measurement for a 35-year-old woman who is 5 feet 7 inches tall is approximately 4.25 l/sec.
Therefore, an interpretation of the obtained peak flow measurement of 2.3 l/sec is that it is lower than the predicted value, indicating that the woman may have some degree of airway obstruction or restriction.
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suppose that a highway is governed by a use fee charged to motorists that is based on congestion, operation and maintenance. the total traffic t is used to determine the cost of 5t2. what is the average cost per motorist?
The average cost per motorist on a highway governed by a use fee based on congestion, operation and maintenance is determined by dividing the total cost ([tex]5t^2[/tex]) by the total traffic (t). So, the average cost per motorist is 5t.
The average cost per motorist for a highway governed by a use fee based on congestion, operation and maintenance can be determined by dividing the total cost ([tex]5t^2[/tex]) by the total traffic (t).
So, the average cost per motorist is 5t.
To better understand how this works, let's look at an example.
Suppose the total traffic is 20.
In this case,
the total cost is 5 × 202 = 2000.
Therefore, the average cost per motorist is 2000/20 = 100.
The cost per motorist is determined by the total traffic because the more cars there are on the highway, the more congested the highway will be.
Consequently, the more congested the highway, the more operation and maintenance is required, and thus the higher the use fee will be.
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Use substitution to solve the system 5r+2w=68, r=3w
Answer:
4
Step-by-step explanation:
5r+2w=685(3w)+2w=6815w+2w=6817w=68w=68/17w=4Answer: w=4
Step-by-step explanation:
1). 5(3w)+2w=68
2). 15w+2w=68
3). 17w=68
4). 17w/17=68/17
5). w=4
Pls help me with dis
Answer:
The Answers
Step-by-step explanation:
Flag = 46
Clover = 46
Hat = 27
Acorridan thing = 198
Final answer = 317
A motor racing circuit has length 55 miles. A straight section of the circuit has length 14 miles. What fraction of the circuit is the straight section? Give your answer in its simplest form.
the side length of a cube is 2y. express the volume of the cube in y.
Answer:
The cube's volume can be represented as 8y^3 when expressed in terms of y.
Step-by-step explanation:
The side length of a cube is given as 2y. To express the volume of the cube in y, we can use the formula for the volume of a cube which is given as V = s^3, where s is the length of one side of the cube.
Substituting 2y as the length of the side of the cube, we get:
V = (2y)^3
Simplifying, we get:
V = 8y^3
Therefore, the volume of the cube expressed in terms of y is 8y^3.
2. One of Kara's birthday balloons has a leak. The amount of air in the balloon can be modeled by the
function A(t) = 1.48 (0.87), where A(t) is the number of cubic feet of air in the balloon t seconds
after the leak begins.
a. According to the model, by what percentage is the balloon losing air each second?
Therefore, according to the model, the balloon is losing air at a rate of 13% per second.
What is function?In mathematics, a function is a rule that maps each element in one set, called the domain, to a unique element in another set, called the range. A function can be represented by an equation, a graph, or a table. Functions are commonly used to describe relationships between variables, such as how the area of a square changes as its side length increases. They are a fundamental concept in calculus, linear algebra, and many other branches of mathematics.
Here,
The function A(t) = 1.48(0.87)ⁿ represents the amount of air in the balloon t seconds after the leak begins.
To find the percentage at which the balloon is losing air each second, we need to find the percentage decrease in the amount of air for every one second of time passing.
To do this, we can calculate the ratio of the amount of air at time t=1 second to the amount of air at t=0 seconds, and then find the percentage decrease:
A(1) / A(0) = [1.48(0.87)¹] / [1.48(0.87)⁰] = 0.87
The ratio is 0.87, which means that the balloon is losing 13% of its air each second (since 1 - 0.87 = 0.13, which is 13% expressed as a decimal).
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A book sold 35,500 copies in its first month of release. Suppose this represents 9.9% of the number of copies sold to date. How many copies have been sold to date?
Round your answer to the nearest whole number.
Answer:
Step-by-step explanation:
smelly a becasue
Please help me I'm stuck.
[tex]\cfrac{89.40~~ - ~~\stackrel{ \textit{minus the tax of each} }{0.50-0.50-0.50-0.50-0.50-0.50}}{6}\implies \cfrac{86.40}{6}\implies \stackrel{ each }{14.40}[/tex]
PLS HELP REALLY NEED IT
Answer:
An even function is symmetric about the y-axis. An odd function is symmetric about the origin. As the graphed function is neither symmetric about the origin, nor symmetric about the y-axis, it is neither even nor odd.
Step-by-step explanation:
Even and odd functions are special types of functions.
Even functionf(x) = f(- x) for all values of x.Symmetric about the y- axis.Example even function: y = x²Odd functionf(–x) = –f(x) for any value of x.Symmetric about the origin.Example odd function: y = x³An even function is symmetric about the y-axis. An odd function is symmetric about the origin. As the graphed function is neither symmetric about the origin, nor symmetric about the y-axis, it is neither even nor odd.
LET'S FIND THE QUOTIENTS!:
(4m² + 5m - 6 ) ( m + 2)
HELPPPPP!!!
Answer:
4[tex]m^{3}[/tex] +13m² + 4m - 12
Step-by-step explanation:
Use FOIL type method:
(4m^2 +5m - 6)(m+2)
= (4m^2)(m) + (5m)(m) - (6)(m) + (4m^2)(2) + (5m)(2) - (6)(2)
= 4m^3 +5m^2 +8m^2 -6m +10m -12
combine like terms:
= 4m^3 +13m^2 + 4m -12
the base of a right triangular prism is a right isosceles triangle whose equal sides measure 25 cm each. the volume of the prism is 0.075 cubic meters. find the height of the prism.
The height of the right triangular prism is 84.3 cm.
To find the height of the right triangular prism, let's use the formula for the volume of a right triangular prism.
Volume of the right triangular prism = 1/2 × base × height × length
Where, base = 25 cm and height is what we need to find.
We are given that the volume of the prism is 0.075 cubic meters. We first need to convert the volume into cubic cm as the other units are given in cm. 1 cubic meter = 100 cm × 100 cm × 100 cm= 1,000,000 cubic cm
So, 0.075 cubic meters = 0.075 × 1,000,000 = 75,000 cubic cm
Substituting all the known values into the formula, we get:
75,000 = 1/2 × 25 × height × length
Hence, height = 75,000 / (1/2 × 25 × length)
Now, we need to find the length of the prism. As the base of the right triangular prism is a right isosceles triangle, its hypotenuse is the length of the prism. Using the Pythagorean theorem to find the hypotenuse, we have:
Length² = 25² + 25²
Length² = 1,250
Length = √1,250
Length ≈ 35.36 cm
Substituting this length into the equation we found earlier, we get:
height = 75,000 / (1/2 × 25 × 35.36)height ≈ 84.3 cm
So, the height of the right triangular prism is approximately 84.3 cm.
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Myra buys an old cell phone from her friend for $60 and signs up for a phone plan that costs $20
per month. Which graph represents Myra's total expenses, y, for the phone and x months on the
phone plan?
When x = 3, y = 60 + 20(3) = 120. So, we can plot the point (3, 120).
What is equation?An equation is a mathematical statement that uses symbols, numbers, and operations to show that two expressions are equal. It usually contains one or more variables, which represent unknown values that need to be solved for. Equations are used in a wide range of mathematical fields, such as algebra, geometry, calculus, and physics, to model real-world situations and solve problems. Some common examples of equations include:
Linear equation: y = mx + b
he total expenses for Myra's phone plan include the initial cost of buying the phone plus the monthly cost of the phone plan. Therefore, the total cost can be represented by the equation:
y = 60 + 20x
where y is the total cost and x is the number of months on the phone plan.
To graph this equation, we can plot a point at (0, 60) to represent the initial cost of buying the phone. Then, we can plot additional points by plugging in different values of x into the equation and finding the corresponding values of y. For example:
When x = 1, y = 60 + 20(1) = 80. So, we can plot the point (1, 80).
When x = 2, y = 60 + 20(2) = 100. So, we can plot the point (2, 100).
When x = 3, y = 60 + 20(3) = 120. So, we can plot the point (3, 120).
Connecting these points gives us a straight line, since the equation is linear.
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larry can make one batch of 3 cookies every 8 minutes. mary can make one batch of 5 cookies every 12 minutes. how long will it take them to make a combined total of 60 cookies?
The total time taken to make combined 60 cookies by Larry and Mary is equal to 75.79 minutes.
Rate at which each person can make cookies
Time to make one batch of 3 cookies made by Larry = 8 minutes
⇒Number of cookies per minute = 3/8 cookies
Time to make one batch of 5 cookies made by Mary = 12 minutes
⇒Number of cookies per minute = 5/12 cookies
Combined rate at which they make cookies,
= 3/8 + 5/12
= 9/24 + 10/24
= 19/24 cookies per minute
Together they can make 19/24 cookies per minute.
To make a total of 60 cookies,
Let 't' be the time in minutes required to make 60 cookies.
⇒ (19/24) t = 60
⇒ t = (60)/(19/24)
⇒ t = 75.79 minutes (rounded to two decimal places)
Therefore, total time taken by Larry and Mary approximately 75.79 minutes to make a combined total of 60 cookies.
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one angle of a triangle measures 20 and the other two angles are in a ratio of 3:5 what are the measures of the 2 angles
Answer:
60 and 100 degrees.
Step-by-step explanation:
Sum of the other 2 angles = 180-20 = 160 degrees.
3 + 5 = 8
160 / 8 = 20
- so the other 2 angles are:
3*20 = 60 and
5*20 = 100 degrees.