Answers
The judgement on each of the given scenarios are as follows;
1. Yes, enough information is given to conclude that the triangles are congruent by the side-side-side SSS congruence theorem.
2. No, the information conveyed through the triangles is not enough to conclude that the triangles are congruent.
3. Yes, the two triangles given are congruent by the HL Congruence theorem.
Which congruence theorems render the triangles congruent?1. By observation: the two Triangles represented in 1. share a side and also, the two corresponding sides are congruent; it can be concluded that the two triangles are congruent.
2. Although two sides are said to be congruent in the triangles; it cannot be concluded that the triangles are congruent neither by HL nor SSS congruence theorem.
3. The two Triangles share the diagonal which is the hypothenuse of both triangles.
Additionally, one of the other side lengths of the triangles are congruent; Therefore, the triangles are congruent by the HL congruence theorem.
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Related Questions
at a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door prize. if all 5 prizes are identical, in how many ways can the prizes be awarded?
Answers
If 5 guests are randomly selected from 17 guest and all 5 prizes are identical, there are 89107200 ways in which the prizes can be awarded.
It is given to us that -
17 guests are in attendance at a baby shower
5 of them are randomly selected for a prize
All the 5 prizes are identical
We have to find out the number of ways in which the prizes can be awarded.
In this case, we have to use the combination formula to find the required answer.
We know that the combinations of n number of objects taken r at a time can be represented by the formula as -
[tex]C(n,r) = r!\frac{n!}{(n-r)!}[/tex] ------ (1)
where,
n = total objects in the given set
r = total chosen objects from the given set
According to the given information, we have -
n = 17
r = 5
Substituting these values in equation (1), we have
[tex]C(n,r) = r!\frac{n!}{(n-r)!}\\= > C(n,r) = 5!*\frac{17!}{(17-5)!}\\= > C(n,r) = 5!*\frac{17!}{12!}\\= > C(n,r) = 89107200[/tex]
Therefore, if 5 guests are randomly selected from 17 guest and all 5 prizes are identical, there are 89107200 ways in which the prizes can be awarded.
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O No; there are y-values that have more than one x-value.
• No; the graph fails the vertical line test.
• Yes; the graph passes the vertical line test.
Yes; there are no y-values that have more than one x-value.
Answers
The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
How do functions work?According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.
Please refer to the image instead of the graph, which is related to it.
The graphic displays a graph.
A parabola is seen on the graph.
The vertical line test determines if a graph can be a function, as is common knowledge.
The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
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Find the slope of the line that passes through (9, 10) and (6, 17).
1) Simplify your answer and write it as a
proper fraction, improper fraction, or integer.
Answers
Answer:
-7/3
Step-by-step explanation:
The formula for finding the slope of a line using two points is:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
For this case, 9 is x1, 10 is y1
6 is x2 and 17 is y2
Insert these values in the formula and solve:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
17 - 10 7
---------- = --- = -7/3
6 - 9 - 3
choose the equation of the graphed function.
Answers
Answer:
J
Step-by-step explanation:
shifts to the right by 1
1. Here are some examples of data. Answer whether each is discrete or continuous data.
a. The number of customers in a shop.
b. The weight of a baby.
c. Shoe sizes.
d. The length of a leaf.
Answers
Answer:
discrete and continuous data
Answer:
a. Discrete data
b. Continuous data
c. Discrete data
d. Continuous data
Step-by-step explanation:
a. It is always possible to count the number of customers in a line, this is a type of discrete random variable.
b. The weight of a baby in its first year or the temperature in a room throughout the day.
c. Shoe sizes can be decimals (7.5 or 8.5) but there are still a fixed set of possible values with gaps between them (there is no 7.9 shoes size). Therefore shoe size is a discrete random variable.
d. The length is typically considered a continuous variable, since, a sea otter will typically not measure exactly 5 feet, but the length will differ by some fraction of a foot.
I NEED THIS ASAP
Factor −6x2 + 18x.
Answers
Answer:
-6x (x-3)
Step-by-step explanation:
Branliest Pls!
help!...Answer the questions about the following polynomial.
the blank with a drop down flap answer choices are, quartic, cubic, quadratic, linear, quintic
Answers
The expression represent a trinomial polynomial with three terms. The constant term is 1 , the leading term is 5, and the leading coefficient is 1 / 7.
What is a polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using operations such as addition, subtraction, multiplication and division.
Trinomials are the algebraic expressions with three unlike terms. Trinomial has three terms.
A constant term is a term in an algebraic expression that does not contain any variables and therefore is constant.
The leading term is the term with the highest power of x.
The leading coefficient of a polynomial is the coefficient found with the variable that has the largest exponent.
Therefore, the expression is a trinomial polynomial. This means it has 3 terms.
The constant term of the polynomial is 1 ,
The leading term is 5, and the leading coefficient is 1 / 7.
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Solve the equation and enter the value of x below.
x+ 272 = 298
Answers
Answer:
x = 26
Step-by-step explanation:
x + 272 = 298
x = 298 -272
x = 26
I hope my answer helps you.
Find the measure of angle 1
A. 133 degree
B. 47 degree
C. 63 degree
D. 70 degree
Please help quickly!!!
(Picture provided)
Answers
Answer:
C, 47°
Step-by-step explanation:
All triangles equal 180°
To find the measure of angle 1, subtract the other angles from 180°
180 - 70 - 63 = 47
a deck of playing cards has 52 cards of which 12 are face cards what are the odds the top 3 are face cards
Answers
In a deck of playing cards has 52 cards of which 12 are face cards, The odds are 33 / 3315 or 0.01 that the top 3 are face cards.
The total number of cards was 52, and there were 12 face cards.
Probability equals the number of possible outcomes divided by the total number of possibilities.
The first attempt had a probability of 12/52,
the second attempt had a probability of 11/51,
and the third attempt had a probability of 10/50.
Therefore, the probability that each of the three cards are face cards is equal to 12 / 52 × 11 / 51 × 10 / 50 = 1320 / 132600 = 132 / 13260 = 33 / 3315
the probability that all three are face cards = 0.00995475113 ≈ 0.01
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Help! My math teacher sucks so I hope you guys can help me with this question.
A cylinder has a volume of 5m cubed and a radius of 0.7m. What is the height of the cylinder to the nearest hundredth of a meter?
Answers
Answer:
1.80
Step-by-step explanation:
Answer:
Volume of a cylinder (v) = πr²h
Step-by-step explanation:
Given V = 5m³
r = 0.7m and π = 3.14
h= ?
using V = πr²h
5 = 3.14 x 0.7² x h
5 = 3.14 x 0.49 xh
5= 1.5386h
divide both side by 1.5386
5/1.5386 = h
h= 3.24970
h= 3.25m ( nearest hundredth)
Can someone explain this?
Answers
It looks like you are supposed to match those 20 given equations to their respective graph that the assignment gave you. Do you need help plotting them? If so, I can edit my answer and add a picture of the equations graphed.
Solve this equation . 6x = 72 for x
Answers
Answer:
x = 12
Step-by-step explanation:
6x = 72 ( isolate x by dividing both sides by 6 )
x = 72 ÷ 6 = 12
Answer:
Step-by-step explanation:
6x = 72
Here, 6 is in multiplication with the variable x.
We will move 6 to the right side. With this the 6 which was in multiplication with x will now go in division with 72, by rule.
x = 72/6
x = 12
therefore, x = 12
If the m<2 = 58° and the m<13 = 111°, find the measures of angles 1, 5, 8, 14, 18.
Note: x || m and z || y
Answers
The value of angle 1 is 122°.
The value of angle 5 is 58°
The angle of angle 8 is 58°
The angle of angle 14 is 122°
The angle 18 is 58°
How to calculate the angles?It should be noted that this information deals with angles. It should be noted that the value of angle on a straight line is 180°.
In this situation, the value of angle 1 will be:
= 180° - 58°
= 122°
Also it should be noted that vertically opposite angles are equal. Therefore, angle 5 will be 58°.
In this situation, it should also be noted that alternate angles are the same. Hence, Thai gives the value of the angles for angles 8, 14 and 18.
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Help appreciated!!!
Consider a dilation of polygon ABCDEF from center O with scale factor r resulting in its image, polygon A'B'C'D'E'F'.
If EDC measures 117° then the measure of E'D'C' is___ If AB measures 1.8 inches and A'B' measures 4.5 inches, then the scale factor r is____
Name one segment from polygon ABCDEF and one segment from polygon A'B'C'D'E'F' that are parallel.
Answers
Step-by-step explanation:
in a dilation all the angles stay the same. only the lengths of lines (like sides or heights) change - and all with the same scale factor (which makes the original and the dilated result similar objects).
angle EDC = 117°.
therefore angle E'D'C' = 117°.
AB = 1.8 in
A'B' = 4.5 in
the scale factor r is
r = 4.5 / 1.8 = 2.5
every segment of A'B'C'D'E'F' is parallel to its original counterpart in ABCDEF.
like
AB to A'B'
as well as
BC to B'C'
CD to C'D'
DE to D'E'
EF to E'F'
that is the reason why projections work (even at an inclined angle of the projection screen the picture might seem strangely stretched, but the angles are still all the same, parallel lines remain parallel, perpendicular lines remain perpendicular, ... - and the viewer still recognizes the pictures).
Guide
Leo argues that the measure of an exterior angle of a triangle is
equal to the sum of the measures of the two remote interior angles of
the triangle. He uses the diagram shown in his argument.
Xº
Leo writes the steps listed.
Step 1.r+x=180, since the sum of the measures of supplementary
angles is 180°
Step 2. p+q+r=180, since the sum of the measures of the angles
of any triangle is 180°
Which equations follow from step 1 and step 2 that Leo could use to
complete his argument?
r+x=p+q+r
r+x-r=p+q+r-r
x=p+q
p+q+r=180
bp+q+r-r=180-r
p+q=180-r
x+r=p+q+r
x+r-r=p+q+r+r
x=p+q+2r
(r+x) + (p+q+r)=180+180
2r+x+p+q=360
Answers
Answer:
Step-by-step explanation: It looks like Leo is trying to prove that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles of the triangle. From the equations given, it seems that Leo is using the fact that the sum of the measures of supplementary angles is 180 degrees, and the sum of the measures of the angles of any triangle is 180 degrees, to try to prove his statement. Some equations that Leo could use to complete his argument might include:
x = p + q, which follows from the equation r + x = 180 and the substitution of p + q + r = 180
p + q = 180 - r, which follows from the equation p + q + r = 180 and the substitution of r + x = 180
x = p + q + 2r, which follows from the equation x + r = p + q + r and the substitution of r + x = 180
It's not clear from the information given whether these equations are sufficient to prove Leo's statement, as we don't have any information about the values of p, q, r, or x. However, these equations might be a good starting point for Leo to continue his argument.
You are in charge of getting food for the class from the corner store. You can buy
chips for $2 or a hoagie for $5. There are 19 students in the class, so you need to buy
at least 19 items, and you have $77 total.
Write a system of equations to represent this situation. Use x to represent the number
of chips and y to represent the number of hoagies.
Separate each inequality with a comma,
Answers
The system of inequalities to represent the situation is 2x + 5y ≤ 77, x + y ≥ 19
How to represent a situation with inequality?You are in charge of getting food for the class from the corner store. You can buy chips for $2 or a hoagie for $5.
There are 19 students in the class, so you need to buy at least 19 items, and you have $77 total.
Hence, the system of inequality to represent this situation is as follows:
let
x = number of chips
y = number of hoagies
Therefore, the inequalities is as follows:
2x + 5y ≤ 77
x + y ≥ 19
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the diameter of a circle is 16. by what number must the radius be decreased in order to decrease the area of the circle by $48\pi$?
Answers
To decrease the area of the circle by $48\pi$, we need to decrease the radius by a factor of $\sqrt{48\pi}$.
Since the original radius of the circle was 8, the radius must be decreased to
$\frac{8}{\sqrt{48\pi}} = \frac{8}{\sqrt{48}\sqrt{\pi}} = \frac{8}{\sqrt{48}} \approx \frac{8}{6.9282} \approx 1.1547$.Therefore, to decrease the area of the circle by $48\pi$, the radius must be decreased by a factor of about 1.1547.
This means that the radius must be decreased by a number that is about 1.1547 times smaller than the original radius of 8, or by about $8 \times (1 - 1.1547) = -0.6158$.
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I need help with this question
please help
Answers
Answer:£84.45
Step-by-step explanation:
10 single packs costs £97.5
9.75x10
3 packs of 3 plus a single costs £84.45
24.90x3+9.75
2 packs of 5 costs £86.5
43.25x2
Answer:
pack of 3 rolls
Step-by-step explanation:
Two 5 packs is 86.50
Ten 1 packs are 97.50
Three 3 packs is 74.70 + 8.3 (1/3 of 3 pack) = £83
Find sin(17π/12) exactly.
I think it has to do something with splitting 17π/12 into π/3 + π/4 + 5π/6 and then using the sin/cos angle sum identities. Though when I tried this, it got complicated really quickly, so I'm not sure if this is the method I should be using.
Answers
Please refer to the photo taken.
Answer:
-(√2 +√6)/4
Step-by-step explanation:
You want the exact value of sin(17π/12).
Sine of sumThe sine can be written as ...
sin(17π/12) = sin(π +5/12π)
= -sin(5/12π) = -sin(2/12π +3/12π)
= -sin(π/6 +π/4)
= -(sin(π/6)cos(π/4) +cos(π/6)sin(π/4))
= -((1/2)(√2/2) +(√3/2)(√2/2))
= -(√2 +√6)/4
The sine of 17π/12 is -(√2+√6)/4.
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Simplify the following:
Holiday Bonus Problem
(5 Points)
X
{²+ + + ²x - 3X ICE +
R-X
{[(X + A)(X-A)M+A²M]E}
7
ruc
4AS
4AS
+
3X[(E+Y)²-(E-Y)²] * 3E[(Y + X)² – (Y-X)²] 3Y[(X + E)²-(X-E)²]
- BA}Y
4AS
Answers
Answer:
99987766554446677765
The theoretical probability of an event occurring is two-fifths. which best describes the experimental probability associated with this event?
Answers
The correct option is B. Out of every 5 trials, the desired outcome will occur approximately 2 times.
Explain the term experimental probability?The number of times an event happened during the experiment as a percentage of all the times the experiment was run is known as that of the experimental probability of that event occurring.The ratio between the number of favorable events and the total number of conceivable outcomes is known as the theoretical probability.For the stated question -
The first claim asserts that it will occur exactly twice, yet probability never assures success.
The second and fourth statements refer to "out of 7," which is false because "out of 7" is equivalent to "out of 2 to 5"
Thus, conclusion is out of every 5 trials, the desired outcome will occur approximately 2 times.
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The complete question is-
The theoretical probability of an event occurring is Two-fifths. Which best describes the experimental probability associated with this event?
A. Out of every 5 trials, the desired outcome will occur exactly 2 times.
B. Out of every 5 trials, the desired outcome will occur approximately 2 times.
C. Out of every 7 trials, there will be 2 desired outcomes and 5 undesired outcomes.
D. Out of every 7 trials, there will be 5 desired outcomes and 2 undesired outcomes.
what can we conclude about the endogeneity of an explanatory variable if the ols and 2sls estimates are significantly different? assume that the instrument used was exogenous.
Answers
Note that assuming that the instrument used was exogenous, one can conclude about the endogeneity of an explanatory variable if the OLS and 2SLS estimates are significantly different: "The explanatory variable is endogenous and therefore 2SLS should be considered." (Option C)
What is 2SLS?Two-stage least squares (2SLS) regression analysis is a statistical approach used in structural equation analysis. The OLS approach has been extended using this methodology. It is employed when the error terms of the dependent variable are associated with the independent variables.
The ordinary least squares (OLS) approach is a linear regression methodology used to estimate a model's unknown parameters. The strategy is based on reducing the sum of squared residuals between the expected and actual values.
2SLS is utilized as an alternate strategy when we encounter endogeneity Problems in OLS. Endogeneity arises when the explanatory variable correlates with the error word. Then we utilize 2SLS, which employs an instrumental variable. The outcome will be different because if there is endogeneity in the model, OLS will produce biased results.
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Full Question:
What can we conclude about the endogeneity of an explanatory variable if the OLS and 2SLS estimates are significantly different? Assume that the instrument used was exogenous. Select one:
a. The explanatory variable is not endogenous and therefore using 2SLS is ill-advised.
b. The explanatory variable is not endogenous and therefore OLS should not be used.
c. The explanatory variable is endogenous and therefore using 2SLS should be considered.
d. The explanatory variable is endogenous and therefore OLS should be used.
How do you measure the length of a line segment using a ruler or a compass? Explain the steps and show your work.
Answers
To measure the length of a line segment AB, place the zero marking of the ruler along the beginning of the line and measure its length.
A line segment has two definite endpoints in a line, and the line segment is fixed, which is the distance between two fixed points. The length can be measured by metric units such as centimeters, and millimeters.
A line segment with two endpoints A and B and is denoted by the bar symbol (—).
Using Ruler and Compass:
There are some markings on the ruler beginning from zero as shown in the figure. these markings divide the ruler into equal parts.
Each part is equal to a length of 1 cm and these units are measured in centimeters and are further subdivided into 10 parts and each sub-part is equivalent to 1 millimeter.
To measure a line segment AB, place the zero marking of the ruler along the beginning of the line and measure its length accordingly.
ln the figure, the length of line segment AB is 8 cm.
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A salesperson at a jewelry store earns 9% commission
each week. Last week, Heidi sold $680 worth of jewelry.
How much did she make in commission? How much did
the jewelry store make from her sales?
Heidi earned [enter your response] in commission
Answers
Answer:
1/ Heidi earned $61.20 in commission
2/ The jewelry store makes $618.80 from hers sales
Step-by-step explanation:
9% = 0.09
First, take 680 times 0.09 = $61.20
Heidi earned $61.20 in commission
For the second question
Take 680 - 61.20 = $618.8
The jewelry store makes $618.80 from its sales
The owner of a small computer repair business has
one employee, who is paid an hourly rate of $22.
The owner estimates his weekly profit using the
function P(x) = 8600 - 22x. In this function, x
represents
the number of
Answers
Answer:
employee's hours worked per week
Step-by-step explanation:
check answer
Answer:
In this function, x represents the number of 2) HOURS WORKED PER WEEK.
For a ride on a rental scooter, All paid a $7 fee to start the scooter plus 7 cents per minute of the ride. The total bill for All's ride was $20.58. For how many
minutes did All ride the scooter?
minutes
X
Answers
Answer:
194 minutes
Step-by-step explanation:
First you subtract $7 from $20.58 because that was the start fee and get 13.58. Then divide 13.58 by 0.07, and get 194.
Examine the linear graph below. Which equation represents this graph?
Answers
Answer:B) -2x + 3y = 12 represents the graph.The y-intercept is 4, and the line intercepts the x-axis at -6. Therefore, the slope of the line is 4/6=2/3. The format for a linear equation is y=(slope)x+y intercept. So the equation would be y=2/3x+4. We can see that option B simplifies that. Adding 2x from both sides of the equation and we get 3y=2x+12.
Pleaseeeeeeeeee helppppppp
Answers
Comparing both given functions, we can state that: B. Function 1 has the greater rate of change; the slope is 2.
What is the Rate of Change/Slope of a Function?Another name for the rate of change of a function is the slope. It is calculated using the formula:
Slope / rate of change = change in y / change in x.
If the equation of a linear function is given in slope-intercept form as y = mx + b, the rate of change or the slope is represented by "m".
Given the first function as an equation, y = 2x - 6, the slope of this function is represented as 2. This means, the rate of change is m = 2.
To find the rate of change of function 2, use two points from the table, (1, -4) and (2, -5):
Rate of change / slope (m) = (-5 - (-4)) / (2 - 1) = -1/1
m = -1.
The slope value of 2 is greater than the slope value of -1, therefore, we can conclude that: B. Function 1 has the greater rate of change; the slope is 2.
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Mr waton buy 4 gallon of paint that cot 34 per gallon how much did mr waton pend on paint
Answers
Mr. Watson spent a total of $136 on the paint.
When taking on a painting project, it's important to factor in the cost of the paint. Mr. Watson was savvy enough to purchase 4 gallons of paint, which will likely be enough to cover a large area or multiple rooms. Not only did he save money by buying in bulk, but he also saved time by not having to go back to the store for more paint.
For those planning to take on a painting project, it's important to consider the cost of the paint as well as some other factors. It's important to research different brands and types of paint to make sure you're getting the best quality for the best value. Additionally, it's important to factor in the cost of supplies, such as brushes, rollers, and other tools.
Ultimately, Mr. Watson made a smart decision by purchasing 4 gallons of paint. He was able to get the job done while saving money and time.
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