A geologist wants to determine the distance across the widest part of a nearby lake. The geologist marked off specific points around the lake so that the line containing segment DE would be parallel to the line containing BC. The segment BC is selected specifically because it is the widest part of the lake. The segment DE is selected specifically because it is a short enough distance to easily measure. Use this diagram to answer the following questions.
1. Is ADE similar to ABC'? How do you know? *
Yes. All three sides are proportional.
Yes. Two or more angles are equivalent.
No. Side lengths are not proportional.
There is insufficient information to determine similarity.
2. If ADE is similar to ABC, and |AD| = 1,200 ft and |AB| = 3,600 ft, what is the length of segment BC?
2,700 ft
1,600 ft
2,100 ft
2,400 ft
3. If ABC is similar to ADE what is the length of segment AC? *
5 points
2,000 ft
3,000 ft
2,400 ft
2,800 ft
Answers
Answer:
1. Yes. Two or more angles are equivalent
2. 2700 ft
3. 3000 ft
Step-by-step explanation:
1.
∠EAD = ∠CAB (same angle)
∠AED = ∠ACB (because AC is a straight line and ED and CB are parallel)
2.
1200:3600
1:3
This means that for any given side for triangle AED, the corresponding side for triangle ACB is three times bigger. ED corresponds to CB, so:
900 x 3 = 2700
3.
We know that for any given side for triangle AED, the corresponding side for triangle ACB is three times bigger. AE corresponds to AC, so:
1000 x 3 = 3000
Related Questions
which The following is a residual plot from a regression of a variable with the independent variable x.
Based on the plot, is it reasonable to conclude that a linear model is appropriate?
1.)Yes, because the plot shows no apparent pattern.
2.)Yes, because the points in the plot display less variation as x increases.
3.)Yes, because the sum of the residuals is close to zero.
4.)No, because the plot shows no apparent pattern.
5.)No, because the points in the plot display more variation as x increases.
Answers
Answer:
Yes, because the plot shows no apparent pattern.
Step-by-step explanation:
Yes, because the plot is a residual plot from a regression of a variable with the independent variable x.
What is regression?Regression is a statistical method that connects a dependent variable to one or more independent (explanatory) variables. A regression model can show whether changes in one or more explanatory variables cause changes in the dependent variable.A regression analysis can be used to predict how the independent variable will affect the dependent variable. As an example, we can say that a linear regression model can accurately predict age and height. Because height grows with age, age and height have a linear relationship.Regression analyses are usually carried out for one of two reasons: Forecasting the value of the dependent variable is possible for those who have access to some information on the explanatory variables.Therefore, the correct option is 1.)Yes, because the plot shows no apparent pattern.
To learn more about regression refer to:
brainly.com/question/26755306
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Please answer the 2 questions if you can? (This is my math from 8th grade)
Answers
Answer:
8.no answer A. x=8
Step-by-step explanation:
10.no answer B. x= -3
Answer:
8. (A) x = 8 , 10. (C.) x = 3
Step-by-step explanation:
Number 8 you could do 75 - 35 = 40
so what can you multiply 5 by (x) to get 40? you would multiply 5 by 8 or (x) and get 40
then add 35 + 40 to get 75 degrees which is the parallel angle to the other 75 degrees.
Number 10 you just want to get them to the same number.
so you would do ( 97 - 3 ) to get the ANSWER 87.
so x = 3
Ray bought a bag of candy for trick or treaters
with peppermints and chocolate. The bag included a
total of 90 candies, and 70% of them were
chocolate. How many chocolates did she get?
Answers
Answer:
She got 63 chocolates.
Step-by-step explanation:
Evaluate 5x ( x - 3 ) when x = 10
Answers
Answer:
470
Step-by-step explanation:
Replace x with 10: 470
5(10)(10 - 3( = 500 - 30 = 470
470
A package of 4 pairs of insulated socks costs $26.36. What is the unit price of the pairs of socks?
The unit price is $
per pair of socks
Answers
Answer: The unit price is $6.59 per pair of socks
Step-by-step explanation: 26.36. divided by 4 = 6.59
WILL GIVE BRAINLIEST IF CORRECT
Answers
Answer:
A.true)
Step-by-step explanation:
Hope this helps!
what is the perimeter of a rectangle
Answers
Answer:
p=2 (l+w)
Step-by-step explanation:
Ezra wants to buy a toy car that was 50% off. The original price is $4. How much will Ezra pay if he buys it during the sale?
Answers
Answer:
She will pay $2.
Step-by-step explanation:
helppp whats number 1 A B and C?!
Answers
B=1/5
C=-5/4
Hope that helps.
Answer:
A=-4/3
B=1/5
C=-5/4
Step-by-step explanation:
which of the following is not equivalent to the rational number 12/5
1) 2.4
2) 9/4
3) 2 2/5
4) 36/15
Answers
Answer:
2) 9/4
Step-by-step explanation:
12/5 in decimal form is 2.4. As a mixed number, 12/5 is 2 2/5. And, 12/5 is just a reduced form of 36/15. So, the only answer it can be is answer 2: 9/4
Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?
A.
4 boxes; 21 scented candles and 12 candle holders
B.
6 boxes; 14 scented candles and 8 candle holders
C.
12 boxes; 7 scented candles and 4 candle holders
D.
24 boxes; 3 scented candles and 2 candle holders
Answers
The answer is A
Hope this helps!
Riley needs to save at least $150 for a new phone. She has already saved $80. If she can
set aside $14 each week, how many weeks does she need to save money before she can
purchase the phone she wants?
HELP!!!
Answers
Answer:
5
Step-by-step explanation:
Since Riley has already saved 80 dollars and she needs to save 150 dollars.
150-80=70
She earns 14 dollars per week:
70/14=5
I also wrote a equation:
(150-80)/14=x
Hope this was helpful!
Find the first six terms of the sequence defined by each of these recurrence relations and initial conditions.
a) an=6an-1, a0=2
b) an=a2n-1, a1=2
c) an=an-1+3an-2, a0=1 , a1=2
d) an=nan-1+n2 an-2 a0=1 ,a1=1
e) an= an-1+an-3 , a0=1, a1=2 , a2=0
Answers
Answer:
See explanation
Step-by-step explanation:
Solving (a):
[tex]a_n = 6a_{n-1}[/tex] where [tex]a_0 = 2[/tex]
n = 1
[tex]a_n = 6a_{n-1}[/tex]
[tex]a_1 = 6a_{1-1}[/tex]
[tex]a_1 = 6a_{0}[/tex]
Substitute 2 for [tex]a_0[/tex]
[tex]a_1= 6 * 2[/tex]
[tex]a_1= 12[/tex]
n = 2
[tex]a_n = 6a_{n-1}[/tex]
[tex]a_2 = 6a_{2-1}[/tex]
[tex]a_2 = 6a_{1}[/tex]
Substitute 12 for [tex]a_1[/tex]
[tex]a_2= 6 * 12[/tex]
[tex]a_2= 72[/tex]
n = 3
[tex]a_n = 6a_{n-1}[/tex]
[tex]a_3 = 6a_{3-1}[/tex]
[tex]a_3 = 6a_2[/tex]
Substitute 72 for [tex]a_2[/tex]
[tex]a_3= 6 * 72[/tex]
[tex]a_3= 432[/tex]
n = 4
[tex]a_n = 6a_{n-1}[/tex]
[tex]a_4 = 6a_{4-1}[/tex]
[tex]a_4 = 6a_{3}[/tex]
Substitute 432 for [tex]a_3[/tex]
[tex]a_4 = 6 * 432[/tex]
[tex]a_4 = 2592[/tex]
n = 5
[tex]a_n = 6a_{n-1}[/tex]
[tex]a_5 = 6a_{5-1}[/tex]
[tex]a_5 = 6a_4[/tex]
Substitute 2592 for [tex]a_4[/tex]
[tex]a_5 = 6 * 2592[/tex]
[tex]a_5 = 15552[/tex]
n = 6
[tex]a_n = 6a_{n-1}[/tex]
[tex]a_6 = 6a_{6-1}[/tex]
[tex]a_6 = 6a_{5}[/tex]
Substitute 15552 for [tex]a_5[/tex]
[tex]a_6 = 6 * 15552[/tex]
[tex]a_6 = 93312[/tex]
[tex]a_1= 12[/tex] [tex]a_2= 72[/tex] [tex]a_3= 432[/tex] [tex]a_4 = 2592[/tex] [tex]a_5 = 15552[/tex] [tex]a_6 = 93312[/tex]
Solving (b):
[tex]a_n = a^2_{n - 1[/tex] where [tex]a_1 = 2[/tex]
We have
[tex]a_1 = 2[/tex] which serves as the first term
n =2
[tex]a_n = a^2_{n - 1[/tex]
[tex]a_2 = a^2_{2-1}[/tex]
[tex]a_2 = a^2_{1}[/tex]
Substitute 2 for [tex]a_1[/tex]
[tex]a_2 = 2^2[/tex]
[tex]a_2 = 4[/tex]
n = 3
[tex]a_3 = a^2_{3-1}[/tex]
[tex]a_3 = a^2_{2}[/tex]
[tex]a_3 = 4^2[/tex]
[tex]a_3 = 16[/tex]
n = 4
[tex]a_4 = a^2_{4-1}[/tex]
[tex]a_4 = a^2_3[/tex]
[tex]a_4 = 16^2[/tex]
[tex]a_4 = 256[/tex]
n =5
[tex]a_5 = a^2_{5-1[/tex]
[tex]a_5 = a^2_4[/tex]
[tex]a_5 = 256^2[/tex]
[tex]a_5 = 65536[/tex]
n = 6
[tex]a_6 = a^2_{6-1[/tex]
[tex]a_6 = a^2_{5[/tex]
[tex]a_6 = 65536^2[/tex]
[tex]a_6 = 4294967296[/tex]
[tex]a_1 = 2[/tex] [tex]a_2 = 4[/tex] [tex]a_3 = 16[/tex] [tex]a_4 = 256[/tex] [tex]a_5 = 65536[/tex] [tex]a_6 = 4294967296[/tex]
Solving (c):
[tex]a_n=a_{n-1}+3a_{n-2};[/tex] [tex]a_0=1[/tex] ; ; [tex]a_1=2[/tex]
[tex]a_1=2[/tex] ---- First term
n = 2
[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes
[tex]a_2=a_{2-1}+3a_{2-2}[/tex]
[tex]a_2=a_1+3a_0[/tex]
Substitute values for a1 and a0
[tex]a_2=2+3 * 1[/tex]
[tex]a_2=2+3[/tex]
[tex]a_2=5[/tex]
n = 3
[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes
[tex]a_3=a_{3-1}+3a_{3-2}[/tex]
[tex]a_3=a_{2}+3a_{1}[/tex]
[tex]a_3=5+3 * 2[/tex]
[tex]a_3=5+6[/tex]
[tex]a_3=11[/tex]
n = 4
[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes
[tex]a_4=a_{4-1}+3a_{4-2}[/tex]
[tex]a_4=a_{3}+3a_{2}[/tex]
[tex]a_4=11+3 * 5[/tex]
[tex]a_4=11+15[/tex]
[tex]a_4=26[/tex]
n = 5
[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes
[tex]a_5=a_{5-1}+3a_{5-2};[/tex]
[tex]a_5=a_{4}+3a_3[/tex]
[tex]a_5=26+3 * 11[/tex]
[tex]a_5=26+33[/tex]
[tex]a_5=59[/tex]
n = 6
[tex]a_n=a_{n-1}+3a_{n-2};[/tex] becomes
[tex]a_6=a_{6-1}+3a_{6-2}[/tex]
[tex]a_6=a_{5}+3a_4[/tex]
[tex]a_6=59+3*26[/tex]
[tex]a_6=59+78[/tex]
[tex]a_6=137[/tex]
[tex]a_1=2[/tex] [tex]a_2=5[/tex] [tex]a_3=11[/tex] [tex]a_4=26[/tex] [tex]a_5=59[/tex] [tex]a_6=137[/tex]
Solving (d):
[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex]; [tex]a_0=1[/tex]; [tex]a_1=1[/tex]
[tex]a_1=1[/tex] --- First term
n = 2
[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes
[tex]a_2=2 * a_{2-1}+2^2a_{2-2}[/tex]
[tex]a_2=2 * a_1+4*a_0[/tex]
[tex]a_2=2 * 1+4*1[/tex]
[tex]a_2=2 +4[/tex]
[tex]a_2=6[/tex]
n = 3
[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes
[tex]a_3=3 * a_{3-1}+3^2 * a_{3-2}[/tex]
[tex]a_3=3 * a_{2}+9 * a_{1}[/tex]
[tex]a_3=3 * 6+9 * 1[/tex]
[tex]a_3=18+9[/tex]
[tex]a_3=27[/tex]
n = 4
[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes
[tex]a_4=4*a_{4-1}+4^2*a_{4-2}[/tex]
[tex]a_4=4*a_{3}+16*a_{2}[/tex]
[tex]a_4=4*27+16*6[/tex]
[tex]a_4=204[/tex]
n = 5
[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes
[tex]a_5=5 * a_{5-1}+5^2 * a_{5-2}[/tex]
[tex]a_5=5 * a_{4}+25 * a_{3}[/tex]
[tex]a_5=5 * 204+25 *27[/tex]
[tex]a_5=1695[/tex]
n = 6
[tex]a_n=na_{n-1}+n^2a_{n-2}[/tex] becomes
[tex]a_6=6 * a_{6-1}+6^2*a_{6-2}[/tex]
[tex]a_6=6 * a_{5}+36*a_{4}[/tex]
[tex]a_6=6 * 1695+36*204[/tex]
[tex]a_6=17514[/tex]
[tex]a_1=1[/tex] [tex]a_2=6[/tex] [tex]a_3=27[/tex] [tex]a_4=204[/tex] [tex]a_5=1695[/tex] [tex]a_6=17514[/tex]
Solving (e):
[tex]a_n= a_{n-1}+a_{n-3};\ a_0=1; a_1=2; a_2=0[/tex]
First term: [tex]a_1=2[/tex]
Second Term: [tex]a_2=0[/tex]
n = 3
[tex]a_n= a_{n-1}+a_{n-3}[/tex] becomes
[tex]a_3= a_{3-1}+a_{3-3}[/tex]
[tex]a_3= a_{2}+a_0[/tex]
[tex]a_3= 0+1[/tex]
[tex]a_3= 1[/tex]
n = 4
[tex]a_n= a_{n-1}+a_{n-3}[/tex] becomes
[tex]a_4= a_{4-1}+a_{4-3}[/tex]
[tex]a_4= a_{3}+a_{1}[/tex]
[tex]a_4= 1+2[/tex]
[tex]a_4=3[/tex]
n = 5
[tex]a_n= a_{n-1}+a_{n-3}[/tex] becomes
[tex]a_5= a_{5-1}+a_{5-3}[/tex]
[tex]a_5= a_{4}+a_{2}[/tex]
[tex]a_5= 3 + 0[/tex]
[tex]a_5= 3[/tex]
n = 6
[tex]a_n= a_{n-1}+a_{n-3}[/tex] becomes
[tex]a_6= a_{6-1}+a_{6-3}[/tex]
[tex]a_6= a_{5}+a_{3}[/tex]
[tex]a_6= 3 + 1[/tex]
[tex]a_6= 4[/tex]
[tex]a_1=2[/tex] [tex]a_2=0[/tex] [tex]a_3= 1[/tex] [tex]a_4=3[/tex] [tex]a_5= 3[/tex] [tex]a_6= 4[/tex]
Mr. Yen and Mrs. Barnes both have beautiful flower gardens. Mr. Yen has 7 rose bushes for every 3 lilac bushes. Mrs. Barnes has 9 rose bushes for every 4 lilac bushes. Whose garden has a higher lilac to rose ratio?
Answers
Answer:
Mrs Barnes has the highest
Explain to me in words how you would find the slope of this line and then tell me the answer and how u got it
......
Answers
Explanation:
The slope of the line is found by the method: rise/run
You calculate how much the slope rises(goes up) and divide it by run(goes horizontal).
One more thing to note is that: the slope is negative BECAUSE ITS DECREASING.
Your answer: -3/2
What are the solutions of 3(x – 4)(2x - 3) = 0? Check all that apply. -4 -3 win w bo 3 m/N 3 4
Answers
Answer:
Option (4) and Option (6)
Step-by-step explanation:
By the zero product property,
If (x - a)(x - b) = 0
Then, (x - a) = 0 ⇒ x = a
(x - b) = 0 ⇒ x = b
By following the zero product property,
From the given equation,
3(x - 4)(2x - 3) = 0
x - 4 = 0 ⇒ x = 4
2x - 3 = 0 ⇒ x = [tex]\frac{3}{2}[/tex]
Therefore, options (4) and (6) will be the correct options.
Answer:
4 and 6 :)
Step-by-step explanation:
edge
Find the lengths of the sides of the triangle PQR. P(3, â3, â3), Q(9, 0, 3), R(12, â6, â3) |PQ| = |QR| = |RP| = Is it a right triangle?
a. Yes
b. No
c. Is it an isosceles triangle?
Answers
Answer:
a. Yes
Step-by-step explanation:
A ball has a diameter
8 inches what is the surface area
Answers
Answer:
diameter ÷ 2 = 8 ÷ 2 = 4
Step-by-step explanation:
A card is drawn from a deck of 52 cards.
Find the probability of drawing a black 8:
Answers
Answer:
1/26
Step-by-step explanation:
There are two sets colors; red and black.
13 ranks, each rank has 2 black cards and 2 red
but there are only 2 black eights
2/52
Suppose Carla has $7000 to invest. Which investment yields the greater return over 4 years: 7% compounded quarterly or 6.85% compounded monthly?
a. They are the same.
b. The rate of 7% compounded quarterly is better.
c. The rate of 6.85% compounded monthly is better.
Answers
Answer:
The correct answer is B. The rate of 7% compounded quarterly is better.
Step-by-step explanation:
In the case of investment at 7% compounded quarterly, the final result after 4 years of investment arises from the following calculation:
X = 7000 x (1 + 0.7 / 3) 4x3
X = 9,232.16
Therefore, after 4 years of investment, the amount in the account would be $ 9,232.16.
In turn, in the case of the investment at 6.85% compounded monthly, the final result after the same investment period arises from the following calculation:
X = 7000 x (1 + 0.685 / 12) 4x12
X = 9,199.33
Thus, in this case, the amount in the account after 4 years of investment would be $ 9,199.33.
What is the opposite of -(-24)?
Answers
Answer: 24
Step-by-step explanation: negative multiples by a negative is a positive
The opposite of -(-24) is -24.
What is additive and multiplicative inverse ?A number is additive inverse of a given number when sum of the two number is zero and a number is a multiplicative inverse of a given number when product of two number is 1.
According to the given question statement we have to determine what is opposite of -(-24).
We know opposite of two numbers sums to zero.
Given -(-24). ( negative signs will distribute and it'll become 24).
Let the opposite number be x.
∴ 24 + x = 0
x = -24.
So the opposite of -(-24) is - 24.
learn more about additive and multiplicative inverse here :
https://brainly.com/question/13715269
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h(x) = x2 + 3x - 2; 12 - h(7)
Solve
Answers
what are the slopes the these graphs ? PLEASE ANSWER
Answers
Answer:
9. -3/4
10. -5/1
11. UNDEFINED
12. 2/3
Answer:
9. -3/4
10. -5
11. undefined
12. 2/3
Step-by-step explanation:
You can replace any letter in function notation with any number.
A.
True
B.
False
Answers
Write the hypothesis: If the pen is not blue then today is Friday.
a. The pen is not blue
b. If the pen is not blue
c. If today is Friday
d. today is not Friday
Answers
Erasers cost 45 cents a piece. Notebooks cost 90 cents a piece . Karla spent $18 for a total of 28 erasers and notebooks . How many did she buy ?
Answers
Answer:
12 Notebooks And 16 Erasers
Step-by-step explanation:
Let x represent the number of notebooks and y represent the number of erasers. (x+y=28) Then, input the cent numbers into the equation. (90x+45y=1800) The 1800 represents the amount of dollars spent. Then simplfy the equation, which gives you 12 notebooks and 16 erasers.
what have the same value as 15 percent of 20
Answers
Answer:
3
Step-by-step explanation:
cause its a pretty simple question
HELP PLEASE ASAP
Which of the following is not equivalent to the following expression 2x^2 -16
Answers
Answer:
Option C. 2(x + 8)
Step-by-step explanation:
To know which option is the correct answer, let us simplify each expression given in the options to know which will not result to 2x² – 16. This is illustrated below:
For Option A:
2x² + 4x – 4x – 16
= 2x² – 16
For Option B:
2(x² – 8)
Clear bracket
2x² – 16
For Option C:
2(x + 8)
Clear bracket
2x + 8
For Option D:
(4x² – 32) /2
4x²/2 – 32/2
2x² – 16
From the above illustration, option C did not result to 2x² – 16.
Therefore, option C is the answer to the question.
A baseball is 1.75 times the size of a golf ball. If the golf ball is 1.68 inches in
diameter, what is the diameter of the baseball?
Answers
Answer:
2.94 in
Step-by-step explanation:
Recall information from the previous task. A snack-size bag of carrots has a mean weight of 1.75 ounces and a
standard deviation of 0.1 ounce.
Kendra bought a snack-size bag of carrots to measure and found that her bag of snacks weighed 1.68 ounces. The Z-
score of Kendra's bag of carrots is -0.70.
Complete the statement interpreting the Z-score.
Kendra's bag of carrots is 0.70 —standard deviations—below—the mean weight.
Put the right answers up ^
Answers
Answer:
Standard Deviation and Below are, in fact, the right answer.
Step-by-step explanation:
Edge. :)
Answer:
The person above is right, they deserve brainliest.
-standard deviations
-below
ED2021