Answers
The value of all the missing angles in the triangles are;
∠1 = 37°
∠6 = 30°
∠4 = 63°
∠3 = 133°
How to find the missing angles of the triangle?We know that the sum of angles in a triangle is equal to 180 degrees. Thus, with this knowledge, we can find the angles 1 and 6.
Therefore;
∠1 = 180 - (70 + 73)
∠1 = 180 - 143
∠1 = 37°
∠6 = 180° - (107° + 43°)
∠6 = 180° - 150°
∠6 = 30°
Now, we know that sum of angles on a straight line is 180 degrees. Thus, we can find angle 4 as follows;
∠4 = 180° - (65° + 42°)
∠4 = 180° - 117°
∠4 = 63°
∠3 = 90 + 43
∠3 = 133°
Thus, the conclusion is that the missing angles are ∠1 = 37°, ∠6 = 30°, ∠4 = 63°, ∠3 = 133°
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Related Questions
Cora went to the candy store and bought 1/2 of a pound of candy. If 1/2 of Cora's candy was chocolate, how many pounds of chocolate candy did Cora buy?
Answers
Answer:
1/4
Step-by-step explanation:
[tex]\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{2 \cdot 2}=\frac{1}{4}[/tex]
What is the slope of a line perpendicular to the line whose equation is 3x+3y=18. Fully simplify your answer.
Answers
The slope of a line is -1
What is a line ?
A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.
A line is a perfectly straight, one-dimensional shape that extends infinitely in both directions and has no thickness. In order to stress that a line has no "wiggles" anywhere along its length, it is occasionally referred to as a straight line or, more formally, a right line (Casey 1893).
y = mx + c
Subtract 3x from both sides of the equation
3y = 18 - 3x
dividing by 3
y = 6 - x
re-ordering we get y = -x + 6
using slope-intercept form ,
the slope m = -1
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can somebody please help me this is the last question to pass this class and i need it by 11:59 pls i’ll give brainiest
Answers
Answer:
Step-by-step explanation:
To solve use tangent(63) to solve for x
tan(63)=x/90
Multiple by sides by 90
90tan(63)=x
x=176.6
Answer:
176.6
Step-by-step explanation:
tan(63°) = x/90
1.962 • 90 = 176.58
When I round to the nearest tenth I get 176.6
I hope this helps:)
the comparison distribution for an independent-samples t test is a distribution of; which of the following is the correct formula for computing the one-sample t-test; one important difference between variance terms for between-groups and within-groups is that; the formula for the total degrees of freedom for the independent-samples t test is; for the following original data, calculate the mean of the difference scores.; which report of statistical results is in appropriate apa format?; for the following data, what is the standard error of the difference scores; the fifth step in conducting the single-sample t test is
Answers
A distribution of the means of two independent groups serves as the comparison distribution for an independent-samples t-test.
By using the one-sample t-test formula
If s is the sample standard deviation, n is the sample size, and x is the sample mean, is the population mean.
The between-groups variance measures the variability of the group means, whereas the within-groups variance measures the variability of the individual scores within the groups. This is a key distinction between variance terms for between-groups and within-groups.
By using the formula,
df = (n1 - 1) + (n2 - 1) (n2 - 1)
where the sample sizes for the two groups are n1 and n2.
The mean of the differences between the scores in the two groups can be used to compute the mean of the difference scores for the original data. The mean of the difference scores would be determined as follows, for instance, if the first group has scores of 3, 5, and 7, while the second group has scores of 4, 6, and 8.
[tex]\frac{(3 - 4) + (5 - 6) + (7 - 8)}{3}[/tex]
= [tex]\frac{(-1 + -1 + -1)}{3}[/tex]
= [tex]\frac{- 3}{3}[/tex]
= -1
The name of the statistical test, the sample sizes, the averages and standard deviations of the groups, the estimated t-value and degrees of freedom, and the p-value would all be included in a report of statistical results that follows proper APA format. The research question and hypothesis being examined should be stated clearly in the report, together with a discussion of the findings and their implications.
The standard error of the difference scores for the provided data can be calculated as
SE = [tex]((\frac{s12}{n1}) + (\frac{s22}{n2}))[/tex]
where n1 and n2 are the sample sizes, s1 and s2 are the standard deviations of the two groups, and
Calculating the t-value and comparing it to the critical value of t from the appropriate degrees of freedom in the t-distribution is the fifth step in performing a single-sample t-test. The null hypothesis can be rejected if the estimated t-value is greater than the critical value since it shows that the observed differences between the sample and the population are statistically significant.
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You earn 1,166 gro taxable income every week, and have claimed no exemption. Auming that you have no other ource of income, what i the amount of income tax withheld each week
Answers
The amount of income tax withheld each week is $350.
In the question ,
it is given that ,
the total gross taxable income every week is = $1166 ,
we know that the percent tax is = 30% ,
and their is no other source of income
So the income tax will be = 30% of total gross taxable income .
Substituting the value of gross taxable income ,
we get ,
income tax = 30% × 1166
= 0.30 × 1166 ...because 30% = 0.30
Simplifying further ,
we get ,
= 349.8
≈ 350
Therefore , amount of income tax withheld is $350 .
The given question is incomplete , the complete question is
You earn $1,166 gross taxable income every week, and have claimed no exemption. Assuming that you have no other source of income, what is the amount of income tax withheld each week ?
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Which of the following values are solutions to the inequality - 8 - 4x > 1?
I.-10 II. -1 III. 6
Answers
The solution of the linear inequation -8 - 4x > 1 is x < [tex]-\frac{9}{4}[/tex]
-10 satisfies the given linear inequation
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤
A one degree inequation is known as linear inequation.
The given linear inequation is
-8 - 4x > 1
Now,
-8 - 4x > 1
-4x > 1 + 8
-4x > 9
x < [tex]-\frac{9}{4}[/tex]
-10 satisfies the given linear inequation
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4. How high must an individual score on the GMAT in order to score in the
highest 5%? (Round to the nearest whole number)
Answers
The scores needed in order to score in the highest 5% of the GMAT are given as follows:
At least 711.
How to obtain the score using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation of GMAT scores are given as follows:
µ = 527, σ = 112.
The highest 5% of scores are composed by scores of the 95th percentile and above, hence the minimum score is X when Z = 1.645.
Then:
1.645 = (X - 527)/112
X - 527 = 1.645 x 112
X = 711.
Missing InformationThe mean and the standard deviation of scores are given as follows:
µ = 527, σ = 112.
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What will be the y-coordinates of L’ if AL is dilated by a factor of 2/5 centered at the origin?
A 16/5
B 4/5
C 2
D 34/5
Answers
By means of rigid transformation, the point L' has a y-coordinate equal to 4 / 5.
What are the coordinates of a point by transformation rules?
Herein we find a representation of a line segment on a Cartesian plane, from which we must determine the coordinates of the image of one of its ends (point L' is the image of point L) by means of the following transformation rule, a dilation centered at the origin:
L'(x, y) = k · L(x, y)
Where:
k - Scale factorL(x, y) - Original pointL'(x, y) - Resulting pointIf we know that L(x, y) = (10, 2) and k = 2 / 5, then the coordinates of the point L' are:
L'(x, y) = (2 / 5) · (10, 2)
L'(x, y) = (4, 4 / 5)
The y-coordinate of point L' is 4 / 5.
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Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.
Answers
The dimensions of the rectangle is 25m × 25m.
How do you find the dimension of a rectangle?
Two dimensions make up a rectangle: the length and, perpendicular to that, the breadth.
What are the three dimensions of a rectangle?
The three dimensions of a three-dimensional shape are length, width, and depth.
It is given that
Perimeter of the rectangle = 100m
Area is as large as possible if both the values are the same number.
The measurements must be equivalent for the rectangle to attain its maximum area.
Consider the dimensions as x
So perimeter can be written as
2 (x + x) = 100
2 (2x) = 100
By additional computation
4x = 100
Divide both sides by 4
x = 25
Therefore, the dimensions of a rectangle is 25m × 25m.
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if the work remaining is greater than the time remaining, the critical ratio (cr) will be group of answer choices less than one. greater than one. none of these answer choices is correct. equal to one.
Answers
The critical ratio (cr) will be less than one if the amount of work left is larger than the amount of time left.
In a work center, the critical ratio is a rule of thumb used to prioritize jobs that need to be processed (CR). The remaining shop time is divided by the equation (due date - today's date), and the result is the CR priority index number. When sequencing according to these criteria, the job with the lowest CR is put on the schedule first. a dispatching rule that generates a priority index number by dividing the amount of time remaining before the deadline by the estimated amount of time required to accomplish the job. Ratios below 1.0 are frequently thought of as being behind schedule, whereas ratios over 1.0 are thought of as being ahead of time. Critical ratio (CR) = CPI x SPI
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Are the following two functions inverses of one another ? Use function composition to determine your answer
Answers
Answer:
Step-by-step explanation: No f(x) is not an inverse of g(x)
price of two games in ratio a:b. If both prices decreased by £10, ratio = 3:5. If both prices increase by £5, ratio = 3:4. Work out ratio a:b.
Answers
The ratio of a: b is = 5:7
The price of the two games are in the ratio a:bWhen the prices are both decreased by £10, the ratio becomes 3:5When the prices are both increased by £5, the ratio becomes 3:4
Here the ratio is a:b
When the prices are both decreased by £10, the new ratio
= a-10 : b-10
When the prices are both increased by £5, the new ratio
= a+5 : b+5
By the given conditions,
a-10 : b-10 = 3:5
or, [tex]\frac{a-10}{b-10\\}[/tex] =[tex]\frac{3}{5}[/tex]
or, 5(a-10) = 3(b-10)
or, 5a -50 = 3b-30
or, 5a -3b = 20 .... ...(1)
and a+5 : b+5 =3 : 4
or,[tex]\frac{a+5}{b+5}[/tex] = [tex]\frac{3}{4}[/tex]
or, 4(a+5) = 3(b+5)
or, 4a +20 = 3b+15
or, 4a-3b= -5 .... ...(2)
subtract the equation(2) from equation(1)
5a -3b - (4a -3b) =20 - (-5)
or, 5a-3b-4a+3b = 20+5
or, 5a-4a = 25
Therefore, a =25
Putting a=25 in equation (1), we get
125-3b=20
or, 3b= 105
therefore, b=35
a :b =25:35
= 5:7
Hence, the ratio of a: b = 5:7
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WILL GIVE 50 POINTS PLEASE HELP
Which gives the correct values for points A, B, C, and D?
A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is at negative 2. Point B is 1 mark to the right of negative 2. Point C is 1 mark to the left negative 1. Point D is 1 mark to the left of 0.
A = negative 2, B = negative 1 and three-fourths, C = negative 1 and one-fourth, D = negative one-fourth
A = negative one-fourth, B = negative 1 and three-fourths, C = negative 1 and one-fourth, D = negative 2
A = negative 2, B = negative three-fourths, C = negative one-fourth, D = one-fourth
A = negative one-fourth, B = negative 1 and one-fourth, C = negative 1 and three-fourths, D = negative 2
Answers
Answer:
The correct values for points A, B, C, and D on a number line going from negative 2 to positive 2 in increments of 1 are:
A = negative 2
B = negative 3/4
C = negative 1/4
D = 1/4
This can be determined by noting that each mark on the number line represents a distance of 1/4, and by counting the number of marks to the right or left of the given points. For example, point B is 1 mark to the right of negative 2, which means it is located at negative 2 + 1/4 = negative 3/4. Similarly, point C is 1 mark to the left of negative 1, which means it is located at negative 1 - 1/4 = negative 1/4. The other points can be determined in the same way.
Step-by-step explanation:
Answer:
It is A the 1st one
Step-by-step explanation:
A = negative 2, B = negative 1 and three-fourths, C = negative 1 and one-fourth, D = negative one-fourth
the number of cells of a certain type of bacteria increase continuously at a rate equal to two more than three times the number of bacteria present. if there are 10 present at the start and 42 present t hours later, what is the value of t?
Answers
The time take would be 1 hour and 18 minutes
What is Linear Equation in One Variable?
Linear equations are first-order equations. Lines in the coordinate system are determined by linear equations. A linear equation in one variable is defined as an equation with a homogeneous variable of degree 1 (i.e. only one variable).
Solution:
Given: Growth rate of bacteria = (3*I + 2)*t
I is the Initial Number of Bacteria
t is the time in hours
So,
42 = (3*10 + 2)t
42 = 32*t
t = 1.3 hours
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Help Please This is hard
Answers
Answer: 63
Step-by-step explanation:
Let's start with what we know. A straight line measures an angle of 180. So, at point m, we have one degree measuring 118. We do:
180 - 118 = 62
So, 62, is the angle in the corner.
We also know that the sum of the angles in a triangle = 180 so:
10x - 2 + 62 = 180
10x + 60 = 180
10x = 120
x = 12
So angle K is 63.
(Hope this is correct)
A cookie recipe uses 1/2 teaspoon of vanilla with 3/4 cup of flour. How
much vanilla should be used with five cups of flour?
Answers
a group spends $277.50 to rent 15 tubes for a float down the ichetucknee river. how many of each type of tube does the group rent?
Answers
Each tube costs $15.17 to the group of friends when they rent 15 tubes for floating down near the Ichetucknee River. The procedure is as follows:
Given, the cost of each tube; 15 tubes would cost $277.50 to rent.
1 dollar equals 100 cents. Along these lines, $227= 22700 penniesConsequently,
the cost of 15 tubes be = (22700+50)cents=22750 pennies
The expense of one tube= (22750/15)cents
=1516.7 pennies
= $15.17
The expense split technique is a method used to distribute the cost of a shared expense among a group of individuals. It involves dividing the total cost of the expense by the number of people in the group to calculate each person's share of the cost.
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worth 100 pts
find the value of x in the parallelogram below.
Answers
Answer: 103
Step-by-step explanation:i think
Answer: 140 I think actually
Step-by-step explanation: Because if you use the well comonlmonly used method you would see that MAYBE the equivilancalence is 140, not 130.
What is the equation of a line passing through points 1 1 and 3 5?
Answers
The equation of the line passing through the two points [tex](1,1)[/tex] and [tex](3,5)[/tex] is [tex]\frac{3}{1}[/tex] i.e. [tex]y=2x-1[/tex]
For finding the equation of lien if two points are given then we will use the two-point form i.e.
[tex]y-y_{1}=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } (x-x_{1})[/tex]
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{5-1}{3-1} \\m=\frac{4}{2} \\m=\frac{2}{1}\\m=2[/tex]
The slope of the line is [tex]2[/tex]
The point [tex](x_{1} ,y_{1} )=(1,1)[/tex]
Plug in these values
[tex]y-1=2(x-1)\\y-1=2x-2\\y=2x-2+1\\y=2x-1[/tex]
The equation of the line is [tex]y=2x-1[/tex]
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Question 8 pls help!!!!!!!
Answers
Answer:
since the arcs are made on top and bottom of the line ,so by joining both the points of intersection of the arc we get a perpendicular bisector of the line
therefore , it is option d) the perpendicular bisectorof line MN
pls help what is 5x=20 shown work
Answers
Answer: x = 4
Step-by-step explanation:
Divide each term in 5x = 20 by 5 and simplify
[tex]\frac{5}{5} x[/tex] = [tex]\frac{20}{5}[/tex]
[tex]x=4[/tex]
Answer:
x=4
Step-by-step explanation:
5x4=20
The sum of two numbers is 34 and the difference is 10. What are the numbers?
Answers
Answer:
22 and 12! i think unless i misunderstood the question
Step-by-step explanation:
In which part of the map will the scale factor be less than 1?
Answers
When the scale factor of the map is less than 1, then the location will be above the map projection plane
The scale factor is used in the UTM mapping systems.
UTM stands for Universal Transverse Mercator, it is the coordinate grid used for the map projection.
The scale factor is an important part in the UTM mapping. Because it is used to show the distortion from the mapping system. Distortion is because of the Earth is mapped into flat surface.
So we can divide the surface into two, the surface above the mapping projection and the surface below the mapping projection
If the scale factor is less than 1 the location will be above the map projection plane and if the scale factor is greater than 1 the location will be below the map projection plane
Therefore, the scale factor less than 1 shows the location above the projection
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Abigail owns a food truck that sells tacos and burritos. She only has enough supplies
to make 130 tacos or burritos. She sells each taco for $3 and each burrito for $6.
Abigail must sell no less than $600 worth of tacos and burritos each day. If x
represents the number of tacos sold and y represents the number of burritos sold,
write and solve a system of inequalities graphically and determine one possible
solution.
Answers
Answer:
Inequality 1: x + y ≤ 1.50
Inequality 2: 4x + 6.5y ≥ 780
So, the possible solution can be x = 20, y = 1.20
(1) The inequalities can be written as:-
Inequality 1: x + y ≤ 1.50
Inequality 2: 4x + 6.5y ≥ 780
(2) The possible solution for the value of x and y can be x = 0.30, y = 1.20.
What is inequality?The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.
Given that Abigail owns a food truck that sells tacos and burritos. She only has enough supplies to make 130 tacos or burritos. She sells each taco for $3 and each burrito for $6. Abigail must sell no less than $600 worth of tacos and burritos each day.
The inequalities can be written as:-
Inequality 1: x + y ≤ 1.50
Inequality 2: 4x + 6.5y ≥ 780
The two inequalities can be solved as:-
x + y = 1.50 or x= 1.50 - y
4x + 6.5y = 780
4( 1.5 - y ) + 6.5y = 780
6 - 4y + 6.5y = 780
y = 1.20
The value of x will be,
x= 1.50 - y
x= 1.50 - 1.2
x = 0.30
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It takes Cathy ½ hour to hike 2 ¼ miles.
a) What is her rate, in miles per hour?
b) At this rate, how far will she hike in 2 hours?
Answers
Answer: a= 4.5 miles per hour
b= 9 miles
A. 1/2 x 2 = 1 hour so 2 1/4 x 2 = 4.5 miles
B. 1/2 and hour x 4 = 2 hours so 2 1/4 miles x 4 = 9 miles
evaluate a 3 - b 2 if a = 3 and b = 6
Answers
Answer:
3a - 2b = -3
Step-by-step explanation:
= (3) (3) - (6) (2)
= 9 - 12
= -3
Answer:
Step-by-step explanation:
3(3)- (6)2
9-12
-3
The Student Council sold the following items at the home football game.
If i stands for income and e stands for expenses, what is the formula for p, profits?
Answers
The formula for profit is:
P = I - E
Where,
Income = I
Expenses = E
Profit = P
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Income = I
Expenses = E
Profit = P
Now,
Profit = Income - Expenses.
P = I - E
Thus,
The formula for profit is:
P = I - E
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What is the 3rd term when 5 3x2 − 5x4 2x3 is arranged in descending order?
Answers
-5x^4 is the 3rd term when 5 3x2 − 5x4 2x3 is arranged in descending order.
Given ,
the 3rd term when 5 3x2 − 5x4 2x3 is arranged in descending order.
It is said to be in descending order if the information is arranged from highest to lowest. Examples of numbers that are organized in descending order include 10, 9, 8, 7, 6, 5, 4, 3, 2, and 1. In other words, the order is said to be declining if the numbers are listed from largest to smallest.
5 3x^2 - 5x^4 2x^3
=> 5x^4 - 5 3x^2 2x^3
=> 5x^4 - 10x^5
=> -5x^4
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help with this geometry
Answers
Answer:
x=12
Step-by-step explanation:
_-----------------------
Help me in this plis
Answers
Answer:
PROBALLY, A
Step-by-step explanation:
Not entirely sure but translating up 7 units from 5 would be 3x-12