Answers
Answer:
Angle 1: 115 degrees
Angle 2: 72 degrees
Angle 3: 57 degrees
Angle 4: 18 degrees
Angle 5: 122 degrees
Step-by-step explanation:
Note: I won’t be finding the angles in order
Angle 3 plus 33 is a right angle which is 90 degrees
So we subtract
90-33=57
Angle 3: 57 degrees
Now angle 2 can be found because a triangle sum of all three angles is 180 degrees
We know 2 75 degrees and 33 so we can add them
75+33=108
Now subtract from 180
180-108=72
Angle 2 is 72 degrees
we can find angle 1 by first finding the missing angle next to it in the triangle
75+40=115
180-115=65
Now we can subtract 65 from 180 to find angle 1
180-65=115
Angle 1 is 115 degrees
Next to find angle 4 we have to find the other missing angle since we already know angle 3 is 57 degrees
The missing angle we just subtract 75 from 180 since the angles are next to each other on a flat plane
180-75=105
And now we add the 2 angles we know
105+57=162
Now subtract from 180
180-162=18
Angle 4 is 18 degrees
Now angle 4 and angle 5 plus 40 degrees is equal to 180 degrees
To find angle 5 we add 40 degrees and 18
40+18
58
Now subtract from 180
180-58
122
Angle 5 is 122 degrees
Hopes this helps please mark brainliest
Related Questions
4x = 4x -3 how many solutions?
Answers
Answer:
No solutions
Step-by-step explanation:
Answer: no solution
= 4x = 4x -3
= 4x - 4x = -3
0 = -3
no solution
i have to solve for ABC n round to nearest whole number
Answers
Answer:
90degrees
Explanation:
The sum of interior angle of a triangle si 180degrees
Hence, 7x-1 + 4x+1 + 3x - 2 = 180
Collect the like terms;
7x+4x+3x-1+1-2 = 180
14x - 2 = 180
14x = 180+2
14x = 182
x = 182/14
x = 13
Get m
From the triangle;
mSubstitute x = 13 into the expression
mmm
Hence the measure of m
3x^4+2x^3-12x-6solve for ;x=-2
Answers
The function f(x) = 3x⁴ + 2x³ - 12x - 6 is equal to 60 for x = -2.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following equation -
[tex]3x^4+2x^3-12x-6[/tex]
We have -
f(x) = 3x⁴ + 2x³ - 12x - 6
for x = - 2
f(- 2) = 3(-2)⁴ + 2(-2)³ - 12(-2) - 6
f(-2) = 48 - 16 + 24 - 6
f(- 2) = 48 + 8 - 6
f(- 2) = 60
Therefore, the function f(x) = 3x⁴ + 2x³ - 12x - 6 is equal to 60 for x = -2.
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ZA and B are vertical angles. If m_A = (3x + 13) and mZB = (5x + 9), then find the measure of ZA.
Answers
EXPLANATION:
The first thing to do is graph the given points of the equation to find the position of the angles.
A=(3X+13)
B=(5X+9)
Both equations to find the angle z should give me a total of 180 degrees
By adding and joining both equations, we have the following:
[tex]\begin{gathered} (3x+13)+(5x+9)=180 \\ 3x+13+5x+9=180 \\ 3x+5x=180-13-9 \\ 8x=180-22 \\ 8x=158 \\ x=\frac{158}{8} \\ x=19.75 \end{gathered}[/tex]Now plugging the value of x into the first equation to find the angle A gives us:
[tex]\begin{gathered} A=3(19.75)+13 \\ A=59.25+13 \\ \textcolor{#FF7968}{A=72.25}\text{\textcolor{#FF7968}{ DEGREES}} \\ The\text{ measure }of\text{ the angle A is: 72.25} \\ \end{gathered}[/tex]To check if the measure of angle A is correct, we must also replace x in the second equation to find the value of angle B, which has to give us exactly what is missing to complete the 180 degrees.
[tex]\begin{gathered} B=5(19.75)+9 \\ B=98.75+9 \\ B=107.75 \\ \text{Now adding the angles A y B should give us 180 }degrees. \\ \textcolor{#FF7968}{A=72.25} \\ B=107.75 \\ AB=\textcolor{#FF7968}{72.25}+107.75=\textcolor{#FF7968}{180}\text{\textcolor{#FF7968}{ degrees.}} \end{gathered}[/tex]The System of PolynomialsYou are aware of the different types of numbers: natural numbers, integers, rational numbers, and real numbers. Now you will work with a property of the number system called the closure property. A set of numbers is closed for a specific mathematical operation if you can perform the operation on any two elements in the set and always get a result that is an element of the set.Consider the set of natural numbers. When you add two natural numbers, you will always get a natural number. For example, 3 + 4 = 7. So, the set of natural numbers is said to be closed under the operation of addition.Similarly, adding two integers or two rational numbers or two real numbers always produces an integer, or rational number, or a real number, respectively. So, all the systems of numbers are closed under the operation of addition.Think of polynomials as a system. For each of the following operations, determine whether the system is closed under the operation. In each case, explain why it is closed or provide an example showing that it isn’t.1. AdditionType your response here:2. SubtractionType your response here:3. MultiplicationType your response here:4. DivisionType your response here:
Answers
Polynomials are closed under the operation of addition, subtraction, and multiplication only. Here's why:
1. Addition: (Closed)
Reason: Say we have two polynomials: (x⁴ + 2x³ - 4) and (3x³ - 2x² + 6x). If we add these two polynomials, (x⁴ + 2x³ - 4) + (3x³ - 2x² + 6x), it will result to x⁴ + 5x³ - 2x² + 6x - 4 which is also a polynomial.
When adding polynomials, the variables and the exponents don't change. This guarantees that the sum of these variables with exponents will always be a polynomial.
2. Subtraction: (Closed)
Reason: Say we have two polynomials: (x⁴ + 2x³ - 4) and (3x³ - 2x² + 6x). If we subtract these two polynomials, (x⁴ + 2x³ - 4) - (3x³ - 2x² + 6x), it will result to x⁴ - x³ + 2x² - 6x - 4 which is also a polynomial.
When subtracting polynomials, the variables, and the exponents don't change. This guarantees that the difference of these variables with exponents will always be a polynomial.
3. Multiplication: (Closed)
Reason: Say we have two polynomials (x + 2) and (x - 4). If we multiply these two polynomials, (x + 2)(x - 4), it will result in x² - 2x - 8, which is also a polynomial.
When multiplying polynomials, the variables do not change but the exponents will be added to each other. In this case, we can guarantee that the new exponents will be positive whole numbers still and this guarantees that the answer will be a polynomial.
4. Division: (Not closed)
Reason: When dividing polynomials, exponents are being subtracted from each other, therefore, we might have a result of a negative exponent. Negative exponents are not allowed in a polynomial. Example, say we have two polynomials (x²) and (x⁴), if we divide (x²) by (x⁴), the resulting value would be:
[tex]\frac{x^2}{x^4}=x^{-2}[/tex]The resulting value is x to the power of negative 2, and is not a polynomial.
What is 10 × 1/2 ? All the answers I see are confusing!!
Answers
Explanation:
(10/1) times (1/2)
Multiply numerator and denominator:
(10/2)
Simplify (by factoring a 2 out)
(2x5)/2
2/2 is one
1x5 is 5
The number of chirps per minutes made by a cricket is a function of the temperature (T). The function f(T) = 4(T-40). How many chirps would you except to hear when the temperature is 90?
Answers
Number of chirps would you expect to hear when the temperature is 90 is 200 .
A function from a fixed X to a hard and fast Y assigns to each detail of X exactly one element of Y. The set X is known as the area of the feature and the set Y is known as the codomain of the characteristic.
Calculation:
f(T) = 4(T-40)
= 4(90-40)
= 4 × 50
= 200
A feature is described as a relation between a fixed of inputs having one output each. In easy phrases, a feature is a courting among inputs in which each entry is related to precisely one output. each feature has a website and codomain or variety. A characteristic is commonly denoted by means of f(x) where x is the input.
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What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15, 4)?3x-29= 3x - 295y-y-x-21y--x+533y=-5* +13Mart this and returnSavond uit
Answers
Recall that two equations in standard form represent parallel lines if they are as follows:
[tex]\begin{gathered} Ax+By=C_1, \\ Ax+By=C_2, \end{gathered}[/tex]Where A>0, and all the coefficients are integers.
Therefore the equation of a parallel line to the given line is as follows:
[tex]3x+5y=k[/tex]Since the parallel line passes through (15,4) then:
[tex]3*15+5*4=k.[/tex]Simplifying the above result we get:
[tex]\begin{gathered} 45+20=k, \\ k=65. \end{gathered}[/tex]Therefore:
[tex]3x+5y=65.[/tex]Solving the above equation for y we get:
[tex]\begin{gathered} 3x+5y-3x=65-3x, \\ 5y=-3x+65, \\ \frac{5y}{5}=-\frac{3x}{5}+\frac{65}{5}, \\ y=-\frac{3}{5}x+13. \end{gathered}[/tex]Answer: Last option.
Answer:
D
Step-by-step explanation:
The slope of the the straight line equation 3x+5y=11 is (−35)Hence the slope of the line parallel is same to the given line i.e,(−35) We can write the equation in the following form slope intercept form i.e, y=mx+cHere c=−6 and m=−35The answer is y=−35x−6⇒5y=−3x−30⇒3x+5y=−30Hope it helps...Thanks you...
The graph of a linear relationship passes through (0, 2), (1,5), and (3, 11) but not through (2,7). Which of the following is the equation for this linear relationship?A.O y = 2x + 3 B.O y = 3x + 2C. O y = 5xD. O y= 4x-1
Answers
There is a point that doesnt go in the curve.
So the procedure is to replace x by 2 ,and y by 7 in every option to see which doesnt belongs
So we see
You want to take a bus to go visit your friend in a different city. The distance between two cities is 200 kilometers and the bus drives 80 kilometers per hour. If the bus is 20 kilometers away from your friend’s city, which of the following equations represents the hours, h, the bus has travelled?
Answers
The required equation will be 200-80h=20 as the statement says, "You want to take a bus to go visit your friend in a different city. The distance between two cities is 200 kilometers and the bus drives 80 kilometers per hour. If the bus is 20 kilometers away from your friend’s city".
What is equation?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. In mathematics, an equation is a relationship of equality between two expressions written on both sides of the equal to sign. 3y = 16 is an example of an equation. Equations can be classified into three types based on their degree:
The linear equationQuadratic formulaThe cubic equationHere,
The distance between two cities=200 KM
The speed of bus=80 KM/hour
Time travelled=h hours
The distance travelled by bus=80h
The difference between distance=20
200-80h=20
As stated in the statement, the required equation is 200-80h=20 "You want to take the bus to see a friend in another city. The distance between the two cities is 200 kilometers, and the bus travels at an average speed of 80 kilometers per hour. If the bus is 20 kilometers away from your friend’s city".
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Assume that each circle shown below represents one unit. Express the shaded
amount as a single fraction and as a mixed number.
Answers
Answer: what shown below?
Step-by-step explanation:
Identify the correlation you would expect to see between the weight and the age of a child. Explain.
Answers
The correlation between the weight and the age of the child is negative.
Correlation
There are 4 types of correlation they are positive correlation, negative correlation, perfect correlation, and no correlation.
Given,
Here we need to find the correlation you would expect to see between the weight and the age of a child.
According to the type of correlation,
We know that, when the two variables are not related to each other then there is no relationship between the variables.
It is always based on the direction of the variable we decide the types of correlation.
Here the type of the correlation is negative correlation because the weight of a child decreases with age.
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What is y=6/5 x+9 written in standard form
Answers
Answer:
6/5x -y = -9
Step-by-step explanation:
The standard form is ax + by =c so you would have to use the properties of equality to solve.
Given : y = 6/5x+9
Subtract -9 from both sides: 6/5x = y-9
Subtract y from both sides: 6/5x -y = -9
Which of the following expressions are equivalent to…I will send a screenshot of the expression I need help with.
Answers
Explanation
We have an expression given as
[tex]-\frac{2}{-13}[/tex]To find the equivalent value, we will make use of the fact that when two negative signs divide or multiply each other, the resulting value is always positive
Thus
The simplified answer is
[tex]\frac{2}{13}[/tex]In our case, we will have a positive outcome
Therefore, the correct answers will be options A and B
Over the last three evenings, Maria received a total of 154 phone calls at the call center. The second evening, she received 10 more calls than the first evening. The third evening, she received 4 times as many calls as the first evening. How many phone calls did she receive each evening?Number of phone calls the first evening:Number of phone calls the second evening:Number of phone calls the third evening:
Answers
Data
• Total phone calls: 154
,• Second evening ( ,s ,): 10 more calls than the first evening ( ,f ,)
,• Third evening ( ,t ,): 4 times as many calls as ,f
Procedure
We have to translate the given information into algebraic expressions.
• Maria received a total of 154 phone calls at the call center:
[tex]f+s+t=154[/tex]where f represents the first evening, s the second, and t the third.
• The second evening, she received 10 more calls than the first evening:
[tex]s=10+f[/tex]• The third evening, she received 4 times as many calls as the first evening:
[tex]t=4\times f[/tex]As t and s can be used in terms of f, we will replace the second and third equations that we build in the first one:
[tex]f+s+t=154[/tex][tex]f+(10+f)+(4\times f)=154[/tex]Eliminating the parenthesis we get:
[tex]f+10+f+4f=154[/tex]Solving for f:
[tex]6f=154-10[/tex][tex]f=\frac{144}{6}[/tex][tex]f=24[/tex]Thus, the number of phone calls the first evening was 24.
Then, we have to replace this calculated value in the other equations to get s and t.
• Solving for ,s
[tex]s=10+f[/tex][tex]s=10+24[/tex][tex]s=34[/tex]• Solving for ,t
[tex]t=4f[/tex][tex]t=4\cdot24[/tex][tex]t=96[/tex]To prove our answers are correct, we can do the following:
[tex]24+34+95=154[/tex][tex]154=154[/tex]Answer
• Number of phone calls the first evening: 24
• Number of phone calls the second evening: 34
• Number of phone calls the third evening: 96
(b) Antonio compares his plan to another friend, Brielle's. Given that both Antonio and Brielle will only be charged for full minutes, is there an amount of time when their two plans cost the same? Explain. ven that bo Brielle's plan: Monthly cost = 2(1.50m+12)+m-4 where m is the number of minutes used
Answers
Antonio's plan is
[tex]3(0.75m+10)+2.50m-15[/tex]Brielle's plan is
[tex]2(1.50m+12)+m-4[/tex]Then, we express both expressions as equivalent to finding the number of minutes needed to cost the same.
[tex]3(0.75m+10)+2.50m-15=2(1.50m+12)+m-4[/tex]First, we use the distributive property.
[tex]2.25m+30+2.50m-15=3m+24+m-4[/tex]Then, we reduce like terms.
[tex]4.75m+15=4m+20[/tex]Then, we subtract 4m on each side.
[tex]\begin{gathered} 4.75m-4m+15=4m-4m+20 \\ 0.75m+15=20 \end{gathered}[/tex]Now, we subtract 15 on each side.
[tex]\begin{gathered} 0.75m+15-15=20-15 \\ 0.75m=5 \end{gathered}[/tex]At last, we divide the equation by 0.75.
[tex]\begin{gathered} \frac{0.75m}{0.75}=\frac{5}{0.75} \\ m\approx6.67 \end{gathered}[/tex]This means after 6.67 minutes both plans will cost the same.
This decimal result means that both plans won't be equivalent because only full minutes are charged. In other words, at 6 minutes the plans are not equal.Whats the product 0.4(-1.08)
Answers
(4x + 2)(6x^2 - z + 2)
Answers
Answer:
24x^3 - 4xz + 12x^2 -2z + 8x + 4
Step-by-step explanation:
We just need to simplify the equation
so for the equation below for the indicated variable 1/3 ab squared equals 6 .⅓ab²= 6 solve for a
Answers
The given expression is ,
[tex]\frac{1}{3}ab^2=6[/tex]Divide both sides by 1/3 implies,
[tex]\begin{gathered} ab^2=\frac{6}{\frac{1}{3}} \\ ab^2=18 \end{gathered}[/tex]The, divide both sides by b^2 gives,
[tex]a=\frac{18}{b^2}[/tex]Therefore, a=18/b^2.
I need help solving this I thought it was 7 but I’m not too sure now
Answers
We are given a triangle such that two line segments are drawn as medians:
[tex]MX\text{ and YL are median lines}[/tex]A meadian line has three points that are off importance as follows:
[tex]\begin{gathered} \text{Strats from one of the vertex of a triangle} \\ \text{Passes through the centroid of the triangle} \\ Bi\sec ts\text{ the opposite side of the triangle} \end{gathered}[/tex]Hence, using the above information we can extract that:
[tex]\begin{gathered} Y\text{ is the mid-point of MK} \\ X\text{ is the mid-point of KL} \\ \text{\textcolor{#FF7968}{AND}} \\ A\text{ is the centroid of the entire triangle} \end{gathered}[/tex]We can also use the properties of median length that states:
[tex]\begin{gathered} \text{Length from vertex to centroid : Centroid to bisection point of opposite side} \\ \end{gathered}[/tex]The ratio of the above two lengths for any median line of a triangle remains true for:
[tex]2\text{ : 1}[/tex]This means that the line segment from centroid to bisection ( mid ) point of the opposite side is shorter than the preceeding length; hence, the ratio is ( 2 : 1 ).
We are given the length of the line segment MA the larger part of the median line:
[tex]MA\text{ = 14 units}[/tex]We can use the property of ratio of lengths for the median lines and determine the length of the smaller part of the median line as follows:
[tex]\begin{gathered} \text{ 2 : 1} \\ MA\text{ : AX} \\ ======== \\ AX\text{ = }\frac{MA}{2} \\ \\ AX\text{ = }\frac{14}{2}\text{ = 7 units} \end{gathered}[/tex]From the above property we determined the length of the shorter line segment. Now we have lengths for the both constituent line segments of median line ( MX ). We can simply sum the individual lengths as follows:
[tex]\begin{gathered} MX\text{ = AX + MA} \\ MX\text{ = 7 + 14} \\ \textcolor{#FF7968}{MX}\text{\textcolor{#FF7968}{ = 21 units}} \end{gathered}[/tex]Hence, the answer is:
[tex]\textcolor{#FF7968}{MX}\text{\textcolor{#FF7968}{ = 21 }}\textcolor{#FF7968}{\ldots}\text{\textcolor{#FF7968}{ Option C}}[/tex]f(x) = x^2 - 9x + 2 evaluate f(-2)
Answers
ANSWER
f(-2) = 24
EXPLANATION
We are given the function:
[tex]f(x)=x^2-9x+2[/tex]To find f(-2), we have to subtitute -2 for x in the function. That is:
[tex]\begin{gathered} f(-2)=(-2)^2-9(-2)+2 \\ f(-2)=4+18+2 \\ f(-2)=24 \end{gathered}[/tex]That is the answer.
Use the information to answer the question.Point P is located at 16 on the number line, Point Q is located at -9 on the number line.What is the distance between Point P and Point on the number line? Enter the answer in the box.units
Answers
Answer:
25units
Explanation:
Given the following points on the number line
Point P at 16
Point Q at -9
Distance between the points = Point P - Point Q
Distance between the points = 16 - (-9)
Distance between the points = 16 + 9
Distance between the points = 25
Hence the distance between Point P and Point Q on the number line is 25units
A mandatory competency test for high school sophomores has a normal distribution with a mean of 553 and a standard deviation of 90. The top 3% of students receive a $500 prize. What is the minimum (cutoff) score you would need to receive this award?
Answers
Answer:
The minimum (cut off) score you need to receive this award is;
[tex]722.2[/tex]Explanation:
Given that the top 3% of the students receive a $500 prize.
[tex]P=1-0.03=0.97[/tex]We will then find the z-score that corresponds to the given probability.
[tex]z=1.88[/tex]Recall that;
[tex]z=\frac{X-\mu}{\sigma}[/tex]Given;
[tex]\begin{gathered} \mu=553 \\ \sigma=90 \end{gathered}[/tex]substituting the values;
[tex]\begin{gathered} 1.88=\frac{X-553}{90} \\ X-553=1.88\times90 \\ X=553+1.88\times90 \\ X=722.2 \end{gathered}[/tex]Therefore, the minimum (cut off) score you need to receive this award is;
[tex]722.2[/tex]
find finish homework soon as possible
Answers
Sale tax rate = 6.85%
To calculate the sale tax on a $14,000 Car, multiply 14,000 by the sale tax rate in decimal form ( divided by 100)
14,000 x (6.85/100) = 14,000 x 0.0685= $959
To find the final cost, add the sale tax amount to the price:
14,000 + 959 = $14,959
Questions-PartA what is the perimeter of this hexagon if the side is 15 cm?Part BWhat is the apothem of this hexagon each side is 15 cm round to the nearest whole number?Part CWhat is the area of the hexagon?(I just need a brief explanation with the answer)
Answers
Step 1:
The formula for the area of a hexagon can also be given in terms of the apothem as,
Area of hexagon
[tex]=\text{ }\frac{1}{2}\text{ }a\text{ }\times\text{ P}[/tex]where 'a' is the length of the apothem and 'P' is the perimeter of the hexagon.
Step 2:
Length of the sides = 15 cm
[tex]\begin{gathered} \text{perimeter = 6 }\times\text{ 15} \\ P\text{ = 90} \end{gathered}[/tex]Step 3:
Find the Apothem ' a '
Find each angle
[tex]\text{Each interior angle = }\frac{360}{6}\text{ = 60}[/tex]Next
[tex]undefined[/tex]Nhan is getting dressed. He considers two different shirts, three pairs of pants, and three pairs of shoes. He chooses one of each of the articles at random. What is the probability that he will wear his khakis but not his sandals? Enter your answer as a fraction in simplest form. Shirt Pants Shoes collared khakis sneakers T-shirt jeans flip-flops shorts sandals The probability that Nhan will wear his khakis but not his sandals = .
Answers
The probability that Nhan will wear his shirt is 0.375.
How to calculate the probability?From the information, Nhan considers two different shirts, three pairs of pants, and three pairs of shoes.
The total number will be:
= 2 + 3 + 3
= 8
Therefore, since we want to calculate the probability of the shirt which is the khaki, this will be:
= P(shirt) / Total number
= 3/8
= 0.375
There, the probability is 0.375.
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Two hikers are walking along a marked trail. The first hiker starts at a point 6 miles from the beginning of the trail and walks at a speed of 4 mi/h. At the same time, the second hiker starts 1 mi from the beginning and walks at a speed of 3 mi/h
a.) what is a system of equations that models the situation?
b.) graph the two equations and find the intersection point
c.) is the intersection point meaningful in this situation? Explain.
Please help I need the answers if a explanation is available then it is greatly appreciated.
Please no Quizlet
Answers
Answer: You didn't say if they are walking towards each other or walking in the same direction away from the beginning of the trail.
if they are walking in the same direction they will never meet
because a is already 5 miles ahead and walking faster
r*t=d
rate
y=mx+b
y=rt+b
y=4t+6 first hiker
y=3t+1 second hiker
set them equal and see if there is a solution
if there is a solution it is the intersection
The solution is minus -5 which means they might have met 5 hours ago.
If they are walking towards each other
6-1=5
4t+3t=5
7t=5
t=5/7 hours they will meet after hiking 5/7 hours
Step-by-step explanation:
help fast!!!!!!! i need help
Answers
........
Step-by-step explanation:
can someone please help me solve this
Answers
For the carpenter to be sure that both length of the beam to be same length the base angles of the triangle must be the same.
What are isosceles triangle?An isosceles triangle is a triangle having two sides of equal length. The angles opposite the equal sides are also equal.
In other words, an isosceles triangle is a triangle with two sides equal and the base angles equal to each other.
The carpenter builds a set of triangular roof support . The carpenter wants the both sides of the slanted beam to be the same in lengths,
Therefore, for the carpenter to be sure the both length of the beam is the same, the base angles must be the same. This follows the rules of an isosceles triangle where two sides are the same and the base angles must be the same.
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What is 0.0032% in fraction form
Answers
% represents a fraction with a denominator 100
[tex]\frac{0.0032}{100}[/tex]0.0032 is a decimal
[tex]0.0032=32\cdot10^{-4}[/tex]Therefore
[tex]\frac{32\cdot10^{-4}}{100}=\frac{32\cdot10^{-4}}{10^2}=\frac{32}{10^2\cdot10^4}=\frac{32}{10^6}=\frac{32}{1000000}[/tex]