Which similarity statement and justification correctly identifies the triangles'
relationship? *
Help plz
Answers
Answer:
(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA
Step-by-step explanation:
Given
See attachment for triangles
Required
The relationship between both triangles
First, we determine the corresponding sides.
The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).
So, we have:
[tex]AC\ to\ EC[/tex]
[tex]BC\ to\ DC[/tex]
Next, is to name the triangle base on the corresponding sides
The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]
Lastly, is to check the scale ratio (k).
For both triangles to correspond, the scale ratio must be the same
So:
[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]
[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]
[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]
[tex]k = \frac{4}{3}[/tex]
Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA
Related Questions
What type of angles are <5 and <6?
A. Vertical angles
B. Alternate exterior angles
C. Supplementary angles
D. Alternate interior angles
Answers
Answer:
C
Step-by-step explanation:
Supplementary angles because their sum is 180 degrees
It is bot B or D because they arent alternating, they are in fact next to each other.
It is not A because it is not a 90 degree angle
What is equivalent to -2(x-5)?
Answers
Answer:
-2x+10
Step-by-step explanation:
-2(x-5)
Distribute
-2*x -2*-5
-2x+10
the y coordinate is 7 more than the x coordinate
Answers
Answer:
if you have the value of x then y =x +7
can you please help me out if you know this answer
Answers
Step-by-step explanation:
A strike in bowling meant all 10 pins knocked down.
In this case, there is only 1 strike
16, 48,144,...
Find the 6th term.
Answers
3,888
Step by step explanation:
Just multiply by 3 to get the next number
or
Nth term= 16 x (3^N-1)
Which system of equations has a solution of (-2,0,1)
Answers
The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The system of the equations that has a solution of (-2, 0, 1) will be
Let the number of variables be x, y, and z.
Then we have
Then the first equation will be
x + y + z = -1
Then the second equation will be
x + y + 2z = 0
Then the third equation will be
x + 2y + 3z = 1
More about the linear system link is given below.
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multiply the binomials (2x+1)(3x+2)
Answers
The Answer is (6x^2+7x+2)
Use the FOIL method
Someone please explain this andwer
Answers
Answer: 2756 cubic inches
Step-by-step explanation:
Well, first calculate the rectangular prism: 11 x 11 x 16 = 2304
Then the cylinder: pi x 4(sqrd) x 9 = about 452
then add them together
I hope this helps! :)
original price $125 discount ? sale price $81.25
Answers
Answer:(125-81.25)/125 = 0.35 = 35%
Step-by-step explanation:
Which expression is equivalent to 6x-9•3
Answers
Find the distance to the nearest tenth
between the points (-4, 2) and (6, -3) on
the coordinate plane.
Answers
Answer:
d=11.2
Step-by-step explanation:
[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\ }[/tex]
[tex]d=\sqrt{(6-(-4)^{2}+(-3-2)^{2} }[/tex]
[tex]d=\sqrt{10^{2}+5^{2} }[/tex]
[tex]d=\sqrt{100+25}[/tex]
[tex]d=\sqrt{125}[/tex]
[tex]d=11.18[/tex]
[tex]d=11.2[/tex]
help plz plz plz ill give brain
Answers
5 Hours
Step-by-step explanation:
Given :- 2 hours can be earned each day if she eats all of her vegetables and does all of her chores.
Saved hours at the start of the week = 3 hours
Hours earned in 4 days = 2 hours × 4
= 8 hours
Hours used in 4 days = 6 hours
Hours left after 4 days = Saved hours at the start of the week + Hours earned in 4 days - Hours used in 4 days
Hours left after 4 days = 3 + 8 - 6
= 5 hours
PLEASE HELP ME!!
For the following exercise, use the compound interest formula, A(t) = P(1 +r/n)^t.
where money is measured in dollars.
After a certain number of years, the value of an investment account is represented by the expression 10,400(1 +0.02/2)^20
had the account been accumulating interest?
How many years
Answers
Answer:
A = $10,441.68
A = P + I where
P (principal) = $10,400.00
I (interest) = $41.68
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 0.02/100
r = 0.0002 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 10,400.00(1 + 0.0002/2)(2)(20)
A = 10,400.00(1 + 0.0001)(40)
A = $10,441.68
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.
The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =[tex]P(1+r/n)^rt[/tex]
Given that
A = $10,441.68
A = P + I
P (principal) = $10,400.00
I (interest) = $41.68
First, we need to convert R as a percent to r as a decimal
r = R/100
r = 0.02/100
r = 0.0002 rate per year,
Then we will solve the equation for A
A = [tex]P(1+r/n)^rt[/tex]
[tex]A = 10,400.00(1 + 0.0002/2)^{(2)(20)}[/tex]
A = 10,400.00(1 + 0.0001)
A = $10,441.68
Hence, The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.
Learn more about interest here;
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The diagram shows the diameter of the opening
of a waffle ice cream cone.
18 cm
Which of the following is closest to the area of
the opening in square centimeters?
A.
1,017.88 cm2
C. 254.47 cm
B.
56.55 cm2
D. 28.27 cm2
I will give brainleist
Answers
Answers
D 36
Step-by-step explanation:
77 is the area for the squared trapezoid and 36 is the closest to 77
y is inversely proportional to the square of p, can be written as: y = O True O False
Answers
Answer:
False
Step-by-step explanation:
It should be ∝ .. if that’s what your asking
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?
Show your work.
Answers
Answer:
He would need to sell 14 more hotdogs
Step-by-step explanation:
140/56= 175/x
140x= 9,800
x= 70
56-70= 14
Which is the graph of f(x)=4(1/2)x
Answers
Answer:
here's the graph
Step-by-step explanation:
A density graph for all of the possible temperatures from 60 degrees to 160 degrees can be used to find which of the following?
A.The probability of a temperature from 30 degrees to 120 degrees
B.The probability of a temperature from 90 degrees to 180 degrees
C.The probability of a temperature from 30 degrees to 90 degrees
D.The probability of a temperature from 90 degrees to 120 degrees
Answers
Answer: 90 degrees to 120
Step-by-step explanation:
The probability of a temperature from 90 degrees to 120 degrees.
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
Given:
Temperatures from 60 degrees to 160 degrees.
As, per the situation the probability will lie between 60 degree to 160 degree.
Hence, The probability of a temperature from 90 degrees to 120 degrees.
Learn more about probability here:
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Write the log equation as an exponential equation. You do not need to solve for x. log(5x+2)=3
Answers
Answer:
So happy you are with brainly
Step-by-step explanation:
34
Express 1/3 as a repeating decimal and round to the nearest hundredth.
Answers
Answer:
1/3 is .333... so you can write .33.... or .33 with a line on top of the 3's
Step-by-step explanation:
.3 is in the tenths and .33 is in the hundredths place
Find cot theta if 180° < theta < 270° and cos theta = - sqrt 3/2
Answers
Answer:
cot theta = -√3
Step-by-step explanation:
we are given that cos theta = - √3/2 within the range 180° < theta < 270° and
since cos theta = adj/hyp
adj = - √3
hyp = 2
Get the opposite using the pythagoras theorem
hyp^2 = opp^2 + adj^2
2² = opp² + (-√3)²
4 = opp² + 3
opp² = 4-3
opp² = 1
opp = 1
tan theta = opp/adj
tan theta = - 1/√3
Recall that cot theta = 1/tan theta
cot theta = 1/(-1/√3)
cot theta = -√3
Can somebody please help me with this ?
Answers
Answer:
8x, 2x^2, 6xy, 5y.
Step-by-step explanation:
Hello, 5x+3x would be 8x since 5+3 is 8. 7x^2-5x^2 would be 2x^2 since 7-5 is 2 (exponents stay the same). 2xy+4xy is 6xy since 2+4 is 6. Lastly, 8y-3y is 5y since 8-3 is 5.
Find the value of x. Round to the
nearest tenth.
26
12
х
X=
= [?]
Answers
Answer:
X = 5.9 (in degree mode)
Step-by-step explanation:
Do the following:
12(tan26) = X
Plugging this into a calculator, you will get:
X = 5.9 (in degree mode)
Need help fast!! Need steps also
Answers
Answer:
arc AB = 3.14 in
Step-by-step explanation:
circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in
arc AB = (30°/360°)(37.68) = 3.14 in
A 30-foot ladder was put up against a building. The ladder makes a 64° angle with the ground. How high up
on the wall does the top of the ladder reach?
Answers
Answer:
height = 26.96 feet
Step-by-step explanation:
sin 64° = height/30
0.8988 = height/30
height = 26.96 feet
Question 17
17. Find the scale factor that was used in the dilation shown.
Answers
Answer:
We are missing a picture, we can't see the dilation they are referring to. The photo is just showing the answer options, so without the dilation it can't be answered.
Step-by-step explanation:
Jenny is dog sitting for 13 dogs. One runs away, and she is not sure which one. There were 3 Labradors (L), 2 Golden Retrievers (G), 3 Dalmatians (D), 4 terriers (T), and 1 bulldog (B) in the original group.
What is the size of the population of dogs that could have run away from Jenny?
1
5
11
13
Answers
Answer:
5
Step-by-step explanation:
It is 5 because she originally had 13. There are 5 types of dogs she was dog-sitting. There are 5 possible types of dogs that ran away.
Kathy bought 5 pencils for the price of $6.30. Which equation represents r, the cost, in dollars, of each pencil?
A.r=6.30+5
B.r = 6.30÷5
C.r=6.30×5
D.r=6.30−5
Answers
9514 1404 393
Answer:
B. r = 6.30÷5
Step-by-step explanation:
The cost per pencil is found by dividing the cost by the number of pencils.
Here, the cost is $6.30 and the number of pencils is 5. Then the cost per pencil (r) is ...
r = 6.30 ÷ 5
Given that £1 = $1.62
b)
a) How much is £650 in $?
b) How much is $405 in £?
Answers
Answer:
A) £650 = $1053
B) $405 = £250
Step-by-step explanation:
For a) Since £1 is equal to $1.62 you would just do £650 times 1.62 to get $1053
For b) Since £1 is equal to $1.62 you would do $405 divided by 1.62 to get £250
Please help me solve this problem and explain the steps
Answers
Answer:
1086ft squared
Step-by-step explanation: