Answer:
a. exception: C; obtuse angle with a different measure
b. corresponding angles are congruent; corresponding sides are proportional
c. corresponding angles are congruent among the similar triangles; they are not congruent when the triangles are not similar
d. corresponding sides are porportional; they are not proportional when the triangles are not similar
Step-by-step explanation:
As you know, similar triangles have congruent corresponding angles, and proportional corresponding sides. This gives them the same shape, but they may be of differenent sizes.
__
a.Figure C appears to have a larger smallest angle and a smaller largest angle than the rest of the figures. Its long side relative to its second-longest side appears to be shorter, consistent with a smaller largest angle.
__
b.The similar triangles have congruent corresponding angles and proportional corresponding sides.
__
c.See (b) regarding similar triangles. Non-similar triangles have different angles.
__
d.See (b) regarding similar triangles. Non-similar triangles have different side proportions.
Dempsey Railroad Co. is about to issue $400,000 of 10-year bonds paying an 11% interest rate, with interest payable annually. The discount rate for such securities is 10%. Click here to view the factor table. (For calculation purposes, use 5 decimal places as displayed in the factor table provided.) How much can Dempsey expect to receive for the sale of these bonds? (Round answer to 0 decimal places, e.g. 2,525.) Dempsey can expect to receive
The amount Dempsey can expect to receive from the sale of the bonds is $424,578.27.
What is the amount Dempsey can expect to receive from the sale of the bonds ?The amount that would be recieved from the sale of the bond is the present value of the bond. Present value is the sum of discounted cash flows.
Present value can be determined using a financial calcualtor:
Cash flow each year from year 1 to 10 = 0.11 x 400,000 = 44000Cash flow in year 10 = $400,0000 I = 10%PV = $424,578.27
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7 raise to -2 x 3 raise to 2 = 3by7 raise to 4x
7^-2 x 3^2 = 3 x 7^4x should be your equation.
Exact form: x = 3/117649Evaluate the exponentEvaluate the exponentMultiply the numbersEvaluate the exponentMultiply the numbersDivide both sides by the same factorSimplifyDecimal form: x = 2.54995792 • 10^5I don't know if this is what you were looking for but I hope it helps.
50 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.
Data Set 2 has a mean of 170.2 and a MAD of 1.7.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 10.
The distributions are different.
The distributions are somewhat similar.
The means-to-MAD ratio is 7.
An empty container in the shape of a cube 6 inches deep is filled with plastic cubes.
How many plastic cubes measuring 1 inch across each face will it take to fill the
container?
Enter your answer in the box.
The right answer would be 216
1) 6*6=36
2)36*6=216
What is 3^8*3^3/3^2 simplified?
Answer:
6561*27/9
Step-by-step explanation:
3^8=6561
6561*27=177,147
177,147/9=19,683
A university class has 22 students: 3 are nursing majors, 9 are psychology majors, and 10 are business majors. (Each student has only one of these majors.) The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is a nursing major and the second student is a business major?
Answer:
27/462
OR
.058
Step-by-step explanation:
the probability that the first student, selected at random, is a nursing student is 3/22.
the probability that the second student, selected at random from the remaining students, is an accounting major is 9/21.
the probability the first student chosen is a nursing student and the second student chosen is an accounting major is therefore 3/22 * 9/21 = 27/462.
I need help ya'll please:)
Answer:
Step-by-step explanation:
Please take a clearer picture couldnt read it well
the last answer is 35 I just could not fit it in the pic
Lin's puppy is gaining weight at a rate of 0.125 pound per day. Describe the weight gain in days per pound. The weight gain would be days per pound
Answer:
8 days per 1 pound
Step-by-step explanation:
Using the calculator enter 1 divided by .125
Thats all :)
In each circle, find the value of x. Please help
Answer:
x = 47°
Step-by-step explanation:
First see that Angle W is 90°. Either because T is the center and LS is a diameter. Or because Arc LCS is 180° so Angle W is half that = 90°
Then, see Triangle WSL. The angles in a triangle add up to 180°
90° + x + x-4 = 180°
Subtract 90°
x + x - 4 = 90
Combine the x's
2x - 4 = 90
Add 4
2x = 94
Divide by 2.
x = 47
The graph shows a wolf population which has been growing exponentially.
200
160
120
uonejndod yjom
80
40
5
years since population was measured
a. What was the population when it was first measured?
Type the answer in the box below.
b. By what factor did the population grow in the first year?
Type the answer in the box below.
PART A: 100 wolves population
PART B: 6/5
Answer:
Part A: 100 wolves population.
Part B:6/5
Step-by-step explanation:.
14 of 15
14.A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag? Explain your reasoning.
Determine the number of solutions of each system of equations.
Answer:
no solutions
Step-by-step explanation:
x+y = 5
-2x-2y = 10
Multiply the first equation by 2
2x+2y =10
Add this to the second equation
2x+2y =10
-2x-2y =10
0 =20
This is not true so there are no solutions
Which equation can be used to determine the distance between the origin and (-2, -4)?
Identify the coefficient of 5r2
coefficient of 5r² is 5
hope it helps...!!!
CAN SOMEBODY HELP ME PLEASE IM STUCK
Answer:
Step-by-step explanation:
To find the vertex from the given table look when the values of x or y start to switch the pattern. For example look at y value they get lower and lower 15,8,3,0,-1 then they get greater and greater 0, 3,8,15,24,...
So the he vertex is at (-2, -1) because here is where the pattern changed.
Y-intercept of the parabola is where the parabola intersects the y-axis so the x must be 0 there. Look in the table where is x=0 and see is at y=3.
Y-intercept point is at (0, 3)
X-intercept of the parabola is where the parabola intersects the x-axis so the y must be 0 there. Look in the table where is y = 0 and see is at x= -1 and also at x= -3.
X-intercept points are at (-1, 0) and (-3, 0)
Equation of the parabola in factored form is in general
y= (x- x intercept1)(x- x intercept 2), and for our problem is:
y = (x +1)(x +3)
The equation for the axis of symmetry is x = -2 because we have a vertical parabola (since x is squared in the equation) and the vertex is as we said previously at (-2, -1).
Reread the problem described in Question 10.5 on page 191.What form should H0 and H1 take if the investigator is concerned only about salary discrimination against female members? If this hypothesis test supports the conclusion of salary discrimination against female members, a costly class-action suit will be initiated against American colleges and universities. Under these circumstances, do you recommend using the .05 or the .01 level of significance? Why?
The form that the null and alternative hypothesis should take if the investigator is concerned only about salary discrimination include U = $82000 and U < $82000.
How to explain the hypothesis?The alternative hypothesis is the claim of the test. Here, the investigator wants to test whether the average salary of females is less than $82500.
Assuming the hypothesis test supports the conclusion of salary discrimination against female members, the 0.01 level of significance will be recommended.
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PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE BRAINLESS TO THE FIRST CORRECT PERSON!!!
Find the values of x and y. Write your answers in the simplest form.
Answer:
Around x = 3 y = 6
Step-by-step explanation:
I'm not sure if you need to round to the nearest whole or hundreth or tenth
Find the secant of ZI.
H
80
89
39
Answer:
See below
Step-by-step explanation:
[tex] \sec \: I = \frac{HI}{IJ} \\ \\ \implies \: \sec \: I = \boxed{\frac{89}{39} }[/tex]
Landon and Colin bought 1/3 pound of strawberries. They are sharing the strawberries equally.
each person will receive ?
pound of strawberries.
Answer:
1/6
Step-by-step explanation:
1/3 divided by 2
help pls
10 points
Brainleist
thanks
Answer: x=12
Step-by-step explanation:
The two angles provided are on a straight line
A straight line is 180 degrees, so we can add the two angles to make 180 and solve for x
[tex]10x-20+6x+8=180[/tex]
Simplify
[tex]10x-20+6x+8=180\\10x+6x-20+8=180\\16x-12=180[/tex]
Add 12 on both sides
[tex]16x-12=180\\16x-12+12=180+12\\16x=192[/tex]
Divide both sides by 16 to isolate x
[tex]16x=192\\\frac{16x}{16} =\frac{192}{16} \\x=12[/tex]
Which statement is true for debit cards
Answer: There are no answer choices but an example of a true statement would be that spending on a debit card will NOT count towards your credit score.
Step-by-step explanation:
URGENT HELP 20 points
Answer:
5 3/12 cm^2
Step-by-step explanation:
I just put it in the calculator.
What is 2 x 10/8 in simplest form 4 grade
The fraction is 5/2
The decimal is 2.5
What is the amplitude of the function? Identify the amplitude of a periodic function from its graph. 4 3 2 1
The amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function(refer to attached picture)
We know the amplitude of the function is given by:
[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |max \ f -min \ f|[/tex]
As we can see in the graph the maximum value is 0 and
the minimum value of a function is -4, thus the amplitude
[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |0 -(-4)|[/tex]
The amplitude of f = 2
Thus, the amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.
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What is the equation in slope-intercept form of the line that passes through the points (-20, 5) and (-10, 6)
Answer:
[tex]y=\frac{1}{10}x + 7[/tex]
Step-by-step explanation:
Hi there!
We are given the points (-20, 5) and (-10, 6)
We want to write the equation of the line in slope-intercept form
Slope-intercept form can be written as y=mx+b, where m is the slope, and b is the y intercept
First, let's find the slope of the line
The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex]and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes
[tex]x_1=-20\\y_1=5\\x_2=-10\\y_2=6[/tex]
Substitute these values into the formula to find the slope
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{6-5}{-10--20}[/tex]
Simplify
m=[tex]\frac{1}{-10+20}[/tex]
m=[tex]\frac{1}{10}[/tex]
The slope (m) of the line is 1/10
We can substitute this value into the formula y=mx+b
y = [tex]\frac{1}{10}x[/tex] + b
Now we need to solve for b
As the equation passes through the points (-20, 5) and (-10, 6), we can use either point to solve for b.
Taking (-20, 5) for instance:
Substitute -20 as x and 5 as y:
5=[tex]\frac{1}{10}(-20)[/tex] + b
Multiply
5=-2+b
Add 2 to both sides
7=b
Substitute 7 as b.
y=[tex]\frac{1}{10}x + 7[/tex]
Hope this helps!
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Utilize graphing to find the solution to
the following system of equations.
y = x-7 AND y = -x + 1
([?], [])
Enter
Answer:
(4, -3)
Step-by-step explanation:
To solve this with graphing all you need to do is enter both equations in a graphing calculator (you can use desmos online) and then find the point where both lines intersect.
what is the percent increase from 18 to 26
Please help........ i need help
Answer:
x = 30
Step-by-step explanation:
x/2 = 12 + 3
x = 2(12+3)
x = 30
Given: mMEJ=30°,
mMFJ= 50°
Find: mKL, mMJ
Applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
What is the Angles Intersecting Secants Theorem?When two secants intersect and form an angle outside the circle, the measure of the angle formed is half the positive difference of the measures of the intercepted arcs.
Given the following:
m∠MEJ = 30°m∠MFJ = 50°m∠MEJ = 1/2(MJ - KL)
30 = 1/2(MJ - KL)
60 = MJ - KL
KL = MJ - 60
m∠MFJ = 1/2(MJ + KL)
50 = 1/2(MJ + MJ - 60)
100 = 2MJ - 60
2MJ = 100 + 60
2MJ = 160
MJ = 160/2
MJ = 80°
KL = MJ - 60 = 80 - 60
KL = 20°
Thus, applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
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