30 POINTS + BRAINLIEST!!! PLEASE HELP ASAP!!!
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule.
Answers
Answer:
CNBD
Step-by-step explanation:
From the diagram, we can see that:
[tex]\displaystyle BL\parallel CA[/tex]
Then by Alternate Interior Angles:
[tex]\angle LBA\cong \angle CAB\text{ and } \angle BLC\cong \angle ACL[/tex]
From vertical angles, we also know that:
[tex]\displaystyle \angle BKL\cong \angle AKC[/tex]
This is all we can gather from the given image. Knowing only three pairs of angles cannot prove congruence, as proving congruence requires at least one side.
Congruence cannot be determined.
Answer:
Cannot be determined
Step-by-step explanation:
With BL and AC being parallel, we can deduce that the two triangles in question share all three of their angles. However, there is no information given that implies any of the sides are equal. AAA (Angle-Angle-Angle) is a proof of similarity, but not congruence, therefore the two triangles cannot be determined to be congruent.
Related Questions
someone plz help me!!
Answers
Answer:
P'=(0,3)
Step-by-step explanation:
P'=(-5+5, 7-4)
The quartile deviation and coefficient of quartile deviation of a continuous frequency distribution are 2 and 0.25 respectively. Find lower and upper quartiles.
Answers
Answer:
Lower quartile = 6
Uppwr quartile = 10
Step-by-step explanation:
Coefficient of quartile deviation = 0.25
Quartile deviation = 2
Coefficient of quartile deviation = (Q3 - Q1) / (Q3 + Q1)
Quartile deviation = (Q3 - Q1) / 2
Hence;
Quartile deviation = (Q3 - Q1) / 2 = 2
Q3 - Q1 = 2 * 2
Q3 - Q1 = 4 - - - - (1)
Q3 = 4 + Q1 - - - - (2)
(Q3 - Q1) / (Q3 + Q1) = 0.25
Q3 - Q1 = 4
4 = 0.25(Q3 + Q1)
Q3 + Q1 = 4 / 0.25
Q3 + Q1 = 16 - - - - (3)
Put Q3 = 4 + Q1 in (3)
4 + Q1 + Q1 = 16
4 + 2Q1 = 16
2Q1 = 16 - 4
Q1 = 12 / 2
Q1 = 6
Q3 = 4 + Q1
Q3 = 4 + 6
Q3 = 10
Can someone explain this to me please
Answers
Answer:
c. 36·x
Step-by-step explanation:
Part A
The details of the circle are;
The area of the circle, A = 12·π cm²
The diameter of the circle, d = [tex]\overline {AB}[/tex]
Given that [tex]\overline {AB}[/tex] is the diameter of the circle, we have;
The length of the arc AB = Half the the length of the circumference of the circle
Therefore, we have;
A = 12·π = π·d²/4 = π·[tex]\overline {AB}[/tex]²/4
Therefore;
12 = [tex]\overline {AB}[/tex]²/4
4 × 12 = [tex]\overline {AB}[/tex]²
[tex]\overline {AB}[/tex]² = 48
[tex]\overline {AB}[/tex] = √48 = 4·√3
[tex]\overline {AB}[/tex] = 4·√3
The circumference of the circle, C = π·d = π·[tex]\overline {AB}[/tex]
Arc AB = Half the the length of the circumference of the circle = C/2
Arc AB = C/2 = π·[tex]\overline {AB}[/tex]/2
[tex]\overline {AB}[/tex] = 4·√3
∴ C/2 = π·4·√3/2 = 2·√3·π
The length of arc AB = 2·√3·π cm
Part B
The given parameters are;
The length of [tex]\overline {OF}[/tex] = The length of [tex]\overline {FB}[/tex]
Angle D = angle B
The radius of the circle = 6·x
The measure of arc EF = 60°
The required information = The perimeter of triangle DOB
We have;
Given that the base angles of the triangles DOB are equal, we have that ΔDOB is an isosceles triangle, therefore;
The length of [tex]\overline {OD}[/tex] = The length of [tex]\overline {OB}[/tex]
The length of [tex]\overline {OB}[/tex] = [tex]\overline {OF}[/tex] + [tex]\overline {FB}[/tex] = [tex]\overline {OF}[/tex] + [tex]\overline {OF}[/tex] = 2 × [tex]\overline {OF}[/tex]
∴ The length of [tex]\overline {OD}[/tex] = 2 × [tex]\overline {OF}[/tex] = The length of [tex]\overline {OB}[/tex]
Given that arc EF = 60°, and the point 'O' is the center of the circle, we have;
∠EOF = The measure of arc EF = 60° = ∠DOB
Therefore, in ΔDOB, we have;
∠D + ∠B = 180° - ∠DOB = 180° - 60° = 120°
∵ ∠D = ∠B, we have;
∠D + ∠B = ∠D + ∠D = 2 × ∠D = 120°
∠D = ∠B = 120°/2 = 60°
All three interior angles of ΔDOB = 60°
∴ ΔDOB is an equilateral triangle and all sides of ΔDOB are equal
Therefore;
The length of [tex]\overline {OD}[/tex] = The length of [tex]\overline {OB}[/tex] = The length of [tex]\overline {DB}[/tex] = 2 × [tex]\overline {OF}[/tex]
The perimeter of ΔDOB = The length of [tex]\overline {OD}[/tex] + The length of [tex]\overline {OB}[/tex] + The length of [tex]\overline {DB}[/tex] = 2 × [tex]\overline {OF}[/tex] + 2 × [tex]\overline {OF}[/tex] + 2 × [tex]\overline {OF}[/tex] = 6 × [tex]\overline {OF}[/tex]
∴ The perimeter of ΔDOB = 6 × [tex]\overline {OF}[/tex]
The radius of the circle = [tex]\overline {OF}[/tex] = 6·x
∴ The perimeter of ΔDOB = 6 × 6·x = 36·x
The depth of snow at seven different mountain lodges is 18 inches, 20 inches, 26 inches, 22 inches, 85 inches, 18 inches, and 24 inches. Find the mean, median, and mode. Which measure is the most useful for predicting how deep the snow will be at an 8th lodge?
Answers
Answer:
a) [tex]\=x=36.4inches[/tex]
b) [tex]Median=22[/tex]
c) [tex]Mode=18[/tex]
d) [tex]The\ Mean[/tex]
Step-by-step explanation:
From the question we are told that:
Depths:
18 inches,
20 inches
26 inches
22 inches
85 inches
18 inches
24 inches
Sample size [tex]n=7[/tex]
Summation of all depths
[tex]\sum d=18+20+26+22+85+18+24[/tex]
[tex]\sum d=255[/tex]
a)
Generally the equation for Mean is mathematically given by
[tex]\=x=\frac{\sum d}{n}[/tex]
[tex]\=x=\frac{255}{7}[/tex]
[tex]\=x=36.4inches[/tex]
b)
Generally the Median is given by the Middle Number which is
[tex]Median=22[/tex]
c)
Generally the Mode is given by the Highest occurring Number which is
[tex]Mode=18[/tex]
with two appearances
Therefore
d)
The measure that is the most useful for predicting how deep the snow will be at an 8th lodge is
[tex]The Mean[/tex]
i need the base and hight
Answers
Answer:
Height = 5 and Base = 10
Step-by-step explanation:
The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².
Formula for area of parallelogram = base × height
Base = 2h
Height = h
∴ Area = 2h × h = 50
Solution:
2h × h = 50
2h² = 50
[tex]\frac{2h^{2} }{2} = \frac{50}{2}[/tex]
h² = 25
[tex]\sqrt{h^{2} } = \sqrt{25}[/tex]
h = 5
∴ height = 5 and base = 2(5) = 10
A bicycle has a cash price of $319.95. It can be bought on hire purchase with a deposit of $69 and ten monthly installments of $28.50 each.
a. what is the total hire purchase price of the bicycle?
b. Find the difference between the hire purchase price and the cost price of the bicycle.
Answers
Answer:
a. $354
b.$34.05p
Step-by-step explanation:
10 monthly instalments
10x28.5=280
plus the deposit 280+69=354
The difference between 354 and 319.95 is 34.05
a. The total hire purchase price of the bicycle is $354.
b. The difference between the hire purchase price and the cost price of the bicycle is $34.05.
a. Total hire purchase price:Total hire purchase price=(10 months×$28.5)+$69
Total hire purchase price=$285+$69
Total hire purchase price=$354
b. Hire purchase price and cost price:Difference=$354-$319.95
Difference=$34.05
Inconclusion the total hire purchase price of the bicycle is $354 and the difference between the hire purchase price and the cost price of the bicycle is $34.05.
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i need help asap
i need to know how to show work
Answers
Answer:
A= πr²
A=3.14*5*5
A=78.5cm²
You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 145 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse? *
Answers
Answer:
1657.14 ft
Step-by-step explanation:
Tan = opposite / adjacent
tan 5 = 145 / adjacent
0.0875 = 145 / adjacent
adjacent = 145 / 0.0875
= 1657.14 ft
Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabytes of data, but 58 gigabytes are already taken up by other files. Each movie is 8 gigabytes. Elena wrote the inequality 8x + 58 ≥ 500 and solved it to find the solution x ≥ 55.25.
1.Explain how you know Elena made a mistake based on her solution.
2.Fix Elena’s inequality and explain what each part of the inequality means.
Answers
Answer:
x is 69.75
Step-by-step explanation:
8x+58>500
500-58
8x/8>558/8
x>
The area of the triangle below is 12 square inches. What is the length of the base?
Answers
Answer:
b = 8 in
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here A = 12 and h = 3 , then
[tex]\frac{1}{2}[/tex] b × 3 = 12 , that is
1.5b = 12 ( divide both sides by 1.5 )
b = 8
Area = 12 inches
Triangle area= (base • height) divided by 2
12= ( 8 • 3 ) divided by 2
Need help, please
Cyndi works in an office. She thinks that she spends 30 minutes in meeting for every 3 hours that she spends working at her desk. One week, she spends 3 hours and 15 minutes in meetings. Using Cyndi's timings above, work out how many hours she would have spent working at her desk?
Answers
Answer:
19.5 hrs
Step-by-step explanation:
30 minutes meeting for every 3 hours of work
10 minutes meeting for every 1 hour of work
15 minutes meeting of every 1 1/2 hour of work
3 hours meeting for every 18 hours of work
She spent 19 1/2 hours
has endpoints J(13, 8) and K(–6, –6). Find the coordinates of the midpoint of .
Answers
Answer:
the midpoint of it is 8,-6
Step-by-step explanation:
rhgsr egh
( 3 1 ) 2 +3 2 =left parenthesis, start fraction, 1, divided by, 3, end fraction, right parenthesis, squared, plus, 3, squared, equals
Answers
Answer:
I guess that we have the equation:
(1/3)^2 + 3^2 =
And we want to solve it.
Here just remember that:
3^2 = 3*3 = 9
then:
(1/3)^2 = (1/3)*(1/3) = 1/9
replacing these in the expression, we get:
(1/3)^2 + 3^2 = 1/9 + 9
If we want to write this as a single fraction, we can rewrite:
1/9 + 9 = 1/9 + (9/9)*9
= 1/9 + 81/9 = (1 + 81)/9 = 82/9
The solution to the equation is 82/9. The equation is: [tex](1/3)^2 + 3^2.[/tex]Calculate the square of [tex](1/3): (1/3)^2 = 1/9[/tex]
Calculate 3 squared:
[tex]3^2 = 9[/tex]
Now, substitute these values back into the original equation:
[tex](1/3)^2 + 3^2 = 1/9 + 9[/tex]
To add these fractions, you need a common denominator. In this case, the common denominator is 9:
1/9 + 81/9 = (1 + 81)/9 = 82/9
So, the solution to the equation is 82/9.
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Complete question is:
Solve the equation: (1/3)^2 + 3^2 =
Point P (a, b), where neither a orbis equal to 0, is subject to the following operations, one after the other in any order:
reflection about the x-axis, reflection about the y-axis, reflection about the origin.
What will be the final position of point P?
Answers
Answer:
(a, b)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
Reflection is the flipping of an object about a point. If a point A(x, y) is reflected over x axis, the new point is at A'(x, -y). If the a point A(x, y) is reflected over y axis, the new point is at A'(-x, y). If a point A(x, y) is reflected over origin, the new point is at A'(-x, -y).
Given point P(a, b). It reflection about the x-axis gives P'(a, -b), then the reflection about the y-axis gives P"(-a, -b). Lastly, reflection about the origin gives P"'(a, b)
Which of the following is a quadratic function?
Answers
Answer:
A
Step-by-step explanation:
A
when multiplied out
the highest exponent of x is 2
y = 2x² + x - 6
Answer:
option A
Step-by-step explanation:
A quadratic equation is a single variable polynomial of degree 2.
[tex]A ) y = ( x + 2)(2x-3) = 2x^2 -3x +4x - 6 =2x^2 + x - 6 \ - Yes \\\\B) y = 3(x - 4) \ - No\\\\C) y = \frac{1}{x^2} \ - No\\\\D) y = x(x-4)(x+3) = x(x^2 -x - 12) = x^3 -x^2 - 12x \ - No[/tex]
In the diagram below, ΔABC≅ΔSTR. Complete the statement ∠A≅
A. ∠C
B. ∠S
C. ∠T
D. ∠R
Answers
Answer:
b
Step-by-step explanation:
Answer: B <S
Step-by-step explanation:
Please help will be marked as brainliest if correct
Answers
Answer:
[tex]{ \tt{question \: 1.}} \\ { \bf{ = {}^{ + } 24}} \\ \\ { \tt{question \: 2.}} \\ { \bf{ = in \: the \: third \: quadrant}} \\ \\ { \tt{question \: 3.}} \\ { = \bf{graph \: J}} \\ \\ { \tt{ \underline{ \blue{becker \: jnr}}}}[/tex]
The voltage E in an electrical circuit is modeled by E=3.8cos(110π t). What is the maximum voltage?
Answers
Answer:
Max E=3.8 Voltage
Step-by-step explanation:
[tex]maximum-value -of cos(\theta) =1, when \theta=0,360,720\\110\pi t=0, therefore t=0, 1.04, 2.08 etc[/tex]
The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.
What is the range of the trigonometric function cosine?The range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.
How do we solve the given question?We are given that the voltage E in an electrical circuit is modeled by E = 3.8cos(110π t).
We are asked to find the maximum voltage E that can be obtained from the circuit.
The voltage E = 3.8cos(110π t).
In the given formula 3.8 is constant and cos(110π t) is variable. The value of E is maximum when the trigonometric function cos(110π t) attains the maximum value.
Since its a cos function, the maximum value it can attain = 1, as the range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.
When the variable attains the maximum value = 1, the value of the voltage E = 3.8*1 = 3.8.
∴ The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.
Learn more about the ranges of trigonometric functions at
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Which statements are true about the graph of
y< 2x + 1? Check all that apply.
y < 2
The slope of the line is 1.
O The line is solid.
The area below the line is shaded.
A solution to the inequality is (2, 3).
The x-intercept of the boundary line is (-3,0).
Answers
Answer:
I think the answer is The x-intercept of the boundary line is (-3/2,0).
Step-by-step explanation:
the x-intercept of boundary line is (-3,0)
Step-by-step explanation:
hope it helps thanks❤
What is the slope and y intercept of the equation?
y=1/2x
m=
b=
Answers
⊹˚ʚ ❑Answer︰slope is 1/2 and y-int. is 0
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
Find the Surface Area of the composite figure acellus
Answers
Answer:
653 is the total suface area
Step-by-step explanation:
i have all the math in the note book but i can explain it very simply you find the area of the big base which is 120 the side of 12 which equals 84 and the side of ten which equals 70 and multiply them all by two which gives you 548 then you multiply the base of the small figure (only count one of the shapes bases btw) and that equals 9 the you find the sides which are 24 each this gives you 96 + 548 = 644 +9 = 653 and there is your answer
Answer:
644in~2
Step-by-step explanation:
acellus 2022 ;)
Select the correct answer.
What is a similarity between life insurance and property and casualty insurance?
A.
Employers usually provide both types of insurance.
B.
Both types cover lost income if you’re unable to work.
C.
Neither type offers benefits unless you suffer a loss.
D.
Neither type charges any premium after a certain period.
Answers
Answer:
C.
Step-by-step explanation:
The similarity between these types of insurance is that neither type offers benefits unless you suffer a loss. In either type of insurance you would either need to lose your life or lose a piece of property. It is then that the insurance company will pay what the insurance contract states. Until such a time that the loss is incurred, the insurance does not provide any benefit to you or your family members.
Answer:
C. Neither type offers benefits unless you suffer a loss.
Step-by-step explanation:PLATO
If you put 700 into a savings account that's earns 1% interest compound monthly how much will you have in 5 years
Answers
Answer:
In 5 years I will have $ 1,151.71.
Step-by-step explanation:
To determine, if I put 700 into a savings account that's earns 1% interest compound monthly, how much will I have in 5 years, the following calculation must be performed:
700 x (1 + 0.01 / 12) ^ 12x5 = X
700 x (1 + 0.008333) ^ 60 = X
700 x 1.64530 = X
1,151.71 = X
Therefore, in 5 years I will have $ 1,151.71.
17. Find the area of a triangle whose base is 6 cm and height is 8 cm.
48 square cm
24 square cm
48 cm
24 cm
Answers
Answer:
24 square cm
Step-by-step explanation:
Answer:
48cm
Step-by-step explanation:
Because 6 times 8= 48cm
1. A researcher would like to compare the effectiveness of video versus reading for communicating information to adolescents. A sample of n1= 10 adolescents is given a pamphlet explaining nuclear energy and told that they will be tested on the information. A separate sample of n2= 10 adolescents is shown a video that contains the same information presented in a fast-paced visual form and told that they will be tested. One week later all 20 subjects are given a test on nuclear energy. The average score for the pamphlet group was 1= 51 with s12= 16. The video group averaged 2= 46 with s22= 20. Conduct a t-Test (two-tail, α = .05) for two Independent groups to see if there is a significant difference between the two groups (follow the Handout).
Answers
Answer:
There is significant statistical evidence to suggest there is a difference between the groups
Step-by-step explanation:
The number of adolescents in the sample that were given a pamphlet, n₁ = 10
The average score of those given a pamphlet, [tex]\bar x_1[/tex] = 51
s₁² = 16
The number of adolescents in the sample that were given a video, n₂ = 10
The average score of those given a video, [tex]\bar x_2[/tex] = 46
s₂² = 20
The alpha level of the test, α = 0.05
H₀ = No difference
Hₐ = Difference between the groups
The test statistic for the difference in mean is given as follows;
[tex]t=\dfrac{(\bar{x}_1-\bar{x}_{2})}{\sqrt{\dfrac{s_{p}^{2} }{n_{1}}+\dfrac{s _{p}^{2}}{n_{2}}}}[/tex]
Plugging in the values, gives;
[tex]t=\dfrac{(46-55)}{\sqrt{\dfrac{18 }{10}+\dfrac{18}{10}}} \approx -4.73[/tex]
The degrees of freedom, n₁ + n₂ - 2 = 20 - 2 = 18
The critical-t = 2.101
Therefore
Given that the test statistic is larger than than the critical-t, we reject the null hypothesis that there is no difference
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1 /9 . There are 63 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
Answers
Answer: 7 red marbles.
Step-by-step explanation:
Since we are given the information that there are only red marbles and blue marbles in the bag and that the probability of randomly choosing a red marble is 1 /9 while there are 63 marbles in total.
Then the number of red marbles will be:
= 1/9 × 63
= 7
There are 7 red marbles
The number if blue marbles will be:
= 63 - 7
= 56 blue marbles
A weatherman predicted 8 inches of snow would fall last night.
Instead, 20 inches of snow actually fell
What is the percent error of the prediction?
Answers
Answer:60%
Step-by-step explanation:
what is the binomial expansion of (x+1)^5
Answers
Answer: "A"
somewhat of a trick question
use pascals triangle (or binomial expansion)
0-1
1-1,1
21,2,1
3- 1,3,3,1
4- 1,4,6,4,1
5- 1,5,10,10,5,1
NOTICE THAT "A" has the 1,5,10,10,5,1 in the 5th row
Step-by-step explanation:
Solve the absolute value inequalty ⎜3x + 5⎟≤ - 2 a No Solution b - 2 ≤ x ≤ - 7 c All real numbers d -7/3 ≤ x ≤ -3/7
Answers
Answer:
Step-by-step explanation:
First, absolute value is always POSITIVE ⇒ the given inequality has No Solution!!
Just to show you how to solve this kind of problems:
1). If (3x + 5) ≥ 0, then 3x + 5 ≤ - 2
3x ≤ - 5 - 2
3x ≤ - 7
x ≤ - [tex]\frac{7}{3}[/tex]
2). If (3x + 5) < 0, then - (3x + 5) ≤ - 2
3x + 5 ≥ 2
3x ≥ - 3
x ≥ - 1
x ∈ ∅
Craig threw a handful of identically shaped buttons into the air then collected 14 bottoms that landed on the carpet. Is this sample of the buttons likely to be biased yes or no
Answers
Answer:
possible?? but I think that there is a typo, and that there would not be a bias
Step-by-step explanation:
can we assume that there are no typos in the question
he threw BUTTONS in the air, and look at buttons that landed with the BOTTOMS facing up ??? in that case the weight might bias the orientation of the landing... I think that you have a typo and it just says that he collected 14 BUTTONS, in that case given that they are "IDENTICAL" we most likely can assume that there would be no bias (size color, texture are all the same)
