ΔABC and ΔDEF appear to be similar. Which set of measurements prove that the two triangles are similar?
Answers
Answer:
C.
Step-by-step explanation:
Similar triangles have congruent corresponding angles, and proportional corresponding sides.
The only angle given is angle A, which will correspond to angle D if the similarity statement is true. That is, angle D must be 35°. (Eliminates choice D)
__
The ratios of the given sides are AB:AC = 9:12 = 3:4. The corresponding sides would be DE:DF. (Eliminates choice A)
The remaining choices have side ratios of ...
B. DE : DF = 16 : 21 ≠ 3 : 4
C. DE : DF = 12 : 16 = 3 : 4
The set of measurements that would make ΔABC ~ ΔDEF is ...
DE = 12, DF = 16, and ∠D = 35°
Related Questions
What is the difference between(5,-3) and (5,10)
Answers
Hope this helps.
Can someone please help quick!
Answers
Answer:
7) given
8) distributive property
9) subtraction property
10) division property
11) HA = WK
12) segment addition
13) Substitution
14) HW = AK
Given: 3x <-6.
Choose the solution set.
O {xlx>-2}
O {x|x<-2}
O {x|x> 2}
O {x|x< 2}
^
Answers
Answer:
x|x< -2
Step-by-step explanation:
3x < -6
divide each side by 3
x <-2
1) A group of five friends goes to the state fair. Each friend pays the entrance fee and buys
one booklet of ride tickets and a meal ticket. The entrance fee is d dollars. A booklet of ride
tickets costs 2.5 times the entrance fee. A meal ticket costs $4 less than the entrance fee.
) The expression
5d +5(2.5d) + 5(d – 4) represents the amount the
friends pay altogether in dollars.
1. Which part of the expression represents the total amount the friends
pay for meal tickets?
2.5d
5(d - 4)
d - 4
5(2.5d)
Answers
Answer:
[tex] 5(d - 4) [/tex]
Step-by-step explanation:
Entrance fee per head = d
Entrance fee for the 5 friends = 5*d = 5d
Booklet of ride ticket per head = 2.5d
Booklet of ride ticket for the 5 friends = 5(2.5d)
Meal ticket per head = d - 4
Meal ticket for the 5 friends = 5(d - 4)
Total amount paid altogether by the five friends = [tex] 5d + 5(2.5d) + 5(d - 4) [/tex]
From this breakdown above, the total amount paid by the 5 friends for their meal tickets = [tex] 5(d - 4) [/tex]
Part 2 of this question: Which part of the expression represents the total amount each friend pays?
Answer: d+2.5d+d-4
Help me please its urgent I need it done asap I need help if anyone could help me solve these problems that would be very helpful! (I'll give brainliest if you can solve all of them!)Find two numbers whose difference is eight, such that the larger number is sixteen less than three times the smaller number. (you must show the algebra for full credit)
Answers
Answer:
Large number: 20
Small number: 12
Step-by-step explanation:
Hello!
This problem is a word problem, and if we assign variables to find each of the numbers, it could help.
A variable is usually an unknown number that stands for that unknown.
Since in this problem we know there is a small and large number, let's assign the large number as the variable x and small number as variable y.
For the first part, it says two numbers whose difference is 8, which means the large number minus the smaller number equals 8.
x-y=8
For the second part is tricky. It's saying that the small number times three is 16 more than the large number itself. When constructing a equation, this is what we get:
x+16=3y x plus 16 equals 3 times y
To solve this equation together so we can make it super easy, let's do the method of substitution, which is where we make an equation equal to a variable and input that equation into the second equation.
We can use x-y=8 to input, we can rearrange y and plug it to the right side to get x=8+y
Since x equals 8+y, let's input this into the second equation.
(8+y)+16=3y input the rearranged equation into the second
24+y=3y combine like terms
-y -y
24=2y divide by two to get y by itself
12=y
We aren't done yet! We have to find x still; let's use the previous first equation to find x. We know y=12, so let's plug it in.
x-y=8 original formula
x-12=8 plug it in
+12 +12
x=20
Therefore, the large number is 20, and smaller number is 12.
Answer:
12 and 20
Step-by-step explanation:
small=x
big= (x+8)
(x+8) = 3x -16
24 = 2x
x=12 (small)
12+8 = 20(big)
a
Sean is a wrestler trying to make weight for the winter
season. He currently weighs 185 pounds. If he is able to
lose 1.5 pounds each week, how long will it take him to
weigh less than 167 pounds?
Answers
How is 5x85/4-(7-4) =47
Answers
Answer:
(5*85)/4-(7-4)
425/4-(7-4)
425/4-3
106.25-3
103.25
It is not 47.
Multiply. Write your answer in simplest form. 1 4/7×2/5
Answers
Answer:
22/35
Step-by-step explanation:
Simplify the following:
((1 + 4/7)×2)/5
((1 + 4/7)×2)/5 = ((1 + 4/7)×2)/5:
((1 + 4/7)×2)/5
Put 1 + 4/7 over the common denominator 7. 1 + 4/7 = 7/7 + 4/7:
((7/7 + 4/7) 2)/5
7/7 + 4/7 = (7 + 4)/7:
(((7 + 4)/7)×2)/5
7 + 4 = 11:
(11/7×2)/5
11/7×2 = (11×2)/7:
((11×2)/7)/5
((11×2)/7)/5 = (11×2)/(7×5):
(11×2)/(7×5)
7×5 = 35:
(11×2)/35
11×2 = 22:
Answer: 22/35
Use completing the square to solve for x in the equation (x-12)(x+4)= 9
A) x=-1 or 15
B) x= 1 or 7
C) x=4+-sqrt41
D) x=4 +- sqrt73
Answers
Answer:
Step-by-step explanation:
Its The last one just took a test
can someone help me put the reasons in order ? please !!
Answers
Answer:
i) Given
ii) Definition of angle bisector
iii) angle addition
iv) Substitution
v) Combine like terms
Mark me brainliest pls
Answer:
1) Given
2) Definition of Angle Bisector
3) Angle Addition
4) Substitution
5) Combine Like Terms
Step-by-step explanation: Hope this helps!
>
Question 15
4 pts
• If you purchased 40 shares of a Vanguard mutual fund at $105 a share two years
ago and the Vanguard mutual fund is currently at $200 a share. Please answer
the four questions below that relate to this investment scenario-
1. What was the total cost of purchasing the 40 shares two years ago?
2. What are the 40 shares of the Vanguard mutual fund currently at?
3. If you sold the 40 shares of the Vanguard mutual fund today - what would
be your profit or loss?
4. What would be your rate of return for selling the 40 shares today?
Answers
Answer:
1. $4200
2. $8000
3. Profit $3800
4. 90.48% (2 d.p.)
Step-by-step explanation:
40 x 105 = 4200
40 x 200 = 8000
8000 - 4200 = 3800
Rate of Return = (Final Value - Initial Value) divided by Initial Value
(8000-4200) divided by 4200 = 19/21 or 0.9047619048
= 90.48%
Answer:
1. $4,200
2. $8,000
3. $3,800 profit
4. 90.48%
Step-by-step explanation:
QUESTION 1:
The cost of one share two years ago was $105. Since you bought 40 shares, you would have to multiply that price by 40:
[tex]$105*40=4,200[/tex]
That means the total cost of purchasing 40 shares two years ago was $4,200.
QUESTION 2:
One share currently costs $200. Just like with problem 1, since they're asking about all 40 shares, you need to multiply that price by 40.
[tex]200*40=8,000[/tex]
That means that 40 shares is currently valued at $8,000.
QUESTION 3:
Profit or loss is calculated by subtracting the final value by the initial value. In this case, subtracting the current price by the price you originally bought the shares for.
[tex]8,000-4,200=3,800[/tex]
Because it's a positive number, you know that you've made a profit of $3,800 off of 40 shares.
QUESTION 4:
Rate of return is calculated by dividing the profit (or loss) by the original cost:
[tex]3,800/4,200=0.9048[/tex]
Of course, since rate of return is expressed in a percentage, you would need to multiply 0.9048 by 100 and tack a percent sign onto the end, giving you 90.48%. (I rounded the number to the nearest hundredth.)
Cynthia paid $30 for herself and her 2 friends at the movies. Each person had a movie ticket, a bag of popcorn for $2, and a drink for $1. Cynthia had a coupon for $7.50 off. What was the original price of each ticket?
Answers
Answer:
9.5 dollars per ticket
Step-by-step explanation:
to start you have to add 7.5 to 30 dollars to get how much it would have cost normally you get 37.5. next subtract 9 dollars. 6 for the popcorn and three for the drinks. you get 28.5 then devide by three to get the cost of one ticket at 9 dollars and 50 cents hope this helped. if you have any more questions feel free to message me
Answer:
$7.50
Step-by-step explanation:
She paid $30 for herself(1) and 2 friends = 3 tickets
30-6(popcorn)=24-3(drinks)-22+7.50=29.50/3= $7.50
Pls help on a timer:::Which statement best describes a characteristic unique to renewable resources? O Renewable resources are abundant. O Renewable resources form slowly. O Renewable resources can be used to generate electricity. O Renewable resources are found in nature.
Answers
Answer:
Renewable resources are abundant.
Step-by-step explanation
I have answered this question before
Answer:
A. Renewable resources are abundant.
Step-by-step explanation:
hope this helps
ASAP!!
Arnold is planning on painting a mural. Before painting the mural, Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 1/2 inch represents 1 foot to paint the mural.
How tall will the actual mural be?
How wide will the actual mural be?
Answers
Answer:
ok so scale means that for every 1/2 each is one foot so each inch 2 feet
so lets just multiply each one by 2 and say their feet
5*2=10 feet
11*2=22 feet
22 feet tall
10 feet wide
Hope This Helps!!!
As of April 2006, roughly 50 million web domain names were registered (e.g., ). How many domain names consisting of just two letters in sequence can be formed? How many domain names of length two are there if digits as well as letters are permitted as characters? [Note: A character length of three or more is now mandated.] ANSWER ↓ How many domain names are there consisting of three letters in sequence? How many of this length are there if either letters or digits are permitted? [Note: All are currently taken.] ANSWER ↓ Answer the questions posed in (b) for four-character sequences. ANSWER ↓
Answers
Answer:
a) 676, 1296
b) 17576, 46656
c) 456976, 1679616
Step-by-step explanation:
firstly we know that there are 26 letters in the alphabet.
there are 26 ways of choosing the first character and 26 ways choosing the second character,
Therefore, the possible number of domains with two leeter is;
n = 26²
= 26 × 26
= 676
now when the digits are allowed, there are 26 + 10 = 36 characters to be used in total
therefore the possible number of domains with two characters is;
n = 36²
= 36 × 36
= 1296
b)
there are 26 ways of choosing each character
therefore, the possible number of domains with three letters is
n = 26³
= 26 × 26 × 26
= 17576
when the digits are allowed, there are 26 + 10 = 36 characters to be used in total
therefore , the possible number of domains with three characters is;
n = 36³
= 36 × 36 × 36
= 46656
c)
there are 26 ways of choosing each character, therefore the possible number of domains with four letters is;
n = 26⁴
n = 26 × 26 × 26 × 26
n = 456976
when the digits are allowed, there are 26 + 10 = 36 characters to be used in total
therefore, the possible number of domains with four characters is;
n = 36⁴
n = 36 × 36 × 36 × 36
= 1679616
There are 676 domain names consisting of just two letters in a sequence that can be formed.
There are 1296 domain names of length two are there if digits, as well as letters, are per-mitted as characters.
There are 17576 domain names are there consisting of three letters in sequence.
There are 46656 of this length are there if either letters or digits are permitted.
GivenAs of April 2006, roughly 50 million web domain names were registered.
1. How many domain names consisting of just two letters in sequence can be formed?
There are 26 letters in the English alphabet.
Combining 2 domain names with letters alone will be;
[tex]\rm =n^2\\\\ = 26^2\\\\ =26 \times 26\\\\=676[/tex]
2. How many domain names of length two are there if digits, as well as letters, are per-mitted as characters.
If digits are allowed with letters:
There are 10 digits from 0-9.
Therefore 26 letters + 10 digits = 36
[tex]\rm = n^2 \\\\= 36^2 \\\\ = 36 \times 36 \\\\ = 1296[/tex]
3. How many domain names are there consisting of three letters in sequence?
There are 26 ways of choosing each character;
Therefore, the possible number of domains with three letters is;
[tex]= \rm n^3\\\\= 26^3\\\\= 26 \times 26 \times 26\\\\= 17576[/tex]
4. How many of this length are there if either letters or digits are permitted?
The digits are allowed, there are 26 + 10 = 36 characters to be used in total
Therefore, the possible number of domains with three characters is;
[tex]\rm = n^3 \\\\= 36^3 \\\\ = 36 \times 36 \times 36\\\\ = 46656[/tex]
To know more about Digits click the link given below.
https://brainly.com/question/1291874
Name the relationship between ∠a and ∠b.
Answers
Answer:
D. complementary
Step-by-step explanation:
The two angles a and b add up to 90 degrees, so they are complementary.
Hopefully this helps - let me know if you have any questions!
Simplifying 7^3 * 7^6 *7^-2
Answers
Answer:
823543
Step-by-step explanation:
[tex]7^3\cdot \:7^6\cdot \:7^{-2}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]7^3\cdot \:7^6\cdot \:7^{-2}=7^{3+6-2}[/tex]
[tex]=7^{3+6-2}[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:3+6-2=7[/tex]
[tex]=7^7[/tex]
[tex]7^7=823543[/tex]
Answer = 823543
~Learn with Lenvy~
Sow your work
solve: ℎ/5 − 2 = −11
Answers
Answer:
-55
Step-by-step explanation:
Given expression:
[tex]\frac{h}{5}[/tex] - 2 = -11
To solve this problem implies finding the variable h;
[tex]\frac{h}{5}[/tex] - 2 = -11
Add +2 to both left and right hand side;
[tex]\frac{h}{5}[/tex] - 2 + 2 = -11 + 2
[tex]\frac{h}{5}[/tex] = -9
Now, multiply both sides by 5;
[tex]\frac{h}{5}[/tex] x 5 = -9 x 5
h = -45
the product of two fourths and the sum of three halves and fourth
Answers
Answer:
it is D or C
Step-by-step explanation:
Do this word document for 50 Points thank you
Answers
Answer/Step-by-step explanation:
Explanation for False ( Counterexample)
[2] False. Look at the picture below
[4] False Look at picture below
Answer:
ion know
beyond ma capacity
Write the equation in standard form for the circle x² + y² + 6y - 4 = 0
Answers
Answer:
x^(2)+(y+3)^(2)=13
Step-by-step explanation:
find f(x+1) of f(x)= 2x^2 + 1
Answers
Answer:
Step-by-step explanation:
f(x+1) = 2(x+1)^2 + 1
= 2(x^2 + 2x + 1) + 1
= 2x^2 + 4x + 3
Mary works at the Middle School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Middle School. How far did Mary travel if she took the shortest route?
A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles
Answers
Answer:
A. 32 miles
Step-by-step explanation:
The shortest route from the middle school to the airport is via City Hall and the high school. Returning by the same route lets Mary drop her father at City Hall as required. The total map distance is ...
2(21 cm +12 cm +15 cm) = 2(48 cm) = 96 cm
At a scale of 3 cm per mile, that distance represents ...
(96 cm)/(3 cm/mi) = 32 mi
Mary traveled 32 miles.
Answer:
A. 32 miles
Step-by-step explanation:
i got it right on edge
The graph represents the speed at which Pete’s marble travels.
The speed of Stephano’s marble is represented by the equation f = 2.25s, where f is the distance in feet and s is the time in seconds.
Whose marble will reach the 6-foot mark sooner?
Answers
Answer:
Step-by-step explanation:
Given the speed of Stephano’s marble is represented by the equation
f = 2.25s, where f is the distance in feet and s is the time in seconds.
To get the marble that will reach the 6-foot mark sooner, we will substitute the value of f = 6 and calculate the value of s as shown:
f = 2.25s
6 = 2.25s
s = 6/2.25
s = 2.67secs
Hence the 6 foot marble will reach after 2.67secs
• Ram, Hari and Shyam go for a swim after a gap of every 1 day, 2 dayand 3 days respectively. How many times will all they meet on the same day within 180 days?
Answers
The least common multiple that is divisible by both a and b is the smallest positive integer. The number of times Ram, Hari and Shyam will meet in 180 days is 30 times.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Given that Ram, Hari and Shyam go for a swim after a gap of every 1 day, 2 days and 3 days respectively. Therefore, the number of day after which all three together will meet can be found by taking the LCM.
Since the LCM of the 1, 2 and 3 are 6. Therefore, the three of them will meet after every 6 days.
Thus, if they all meet today then within 180 days, the number of times they meet is,
Number of times they meet = 180 days/6 = 30
Hence, the number of times Ram, Hari and Shyam will meet in 180 days is 30 times.
Learn more about Least Common Multiple:
https://brainly.com/question/20739723
#SPJ5
At 6 am, the temperature was -5 degrees F. At 9 am, the temperature had risen by 8 degrees F.
By 4 pm, the temperature dropped another 12 degrees F. What integer describes the
temperature now after dropping at 4 pm?
Answers
Answer: -9 degrees
Explanartion:
-5+8=3
3-12=-9
Answer:
probably -9 degrees
Step-by-step explanation:
Use what you know about triangles to classify this triangle.
Answers
Answer:
Equiangular triangle
Step-by-step explanation:
"equiangular triangle" means a triangle that has equal sides
knowing that the sum of the angles of a triangle is 180° each angle must be 60° because [tex]\frac{180}{3}=60[/tex]
Chicken noodle soup cans have a diameter of 2.4 inches and a height of 5.8 inches. What is the volume of the can? Round to the 10th.
Show work pls thank you
30 points
Answers
Answer:
26.22 cubed inches
Step-by-step explanation:
V=πr2h
r = radius = diameter/2
h = height
π = pi = 3.14
v = 3.14([tex]1.2^{2}[/tex])5.8
v = 3.14(1.44)5.8
v = 4.52 x 5.8
v = 26.22
Have a great day! :)
PLEASE RATE!!
The volume of the cylindrical can is equal to 26.0 [tex]in^3[/tex].
Given the following data:
Diameter of can = 2.4 inches.Height of can = 5.8 inches.Radius = [tex]\frac{diameter}{2} =\frac{2.4}{2} =1.2\;in[/tex]
How to calculate the volume.Mathematically, the volume of a cylinder is given by this formula:
[tex]V = \pi r^2h[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]V = 3.14 \times 1.2^2 \times 5.8\\\\V = 4.5216 \times 5.8[/tex]
V = 26.22 ≈ 26.0 [tex]in^3[/tex].
Read more on volume of a cylinder here: brainly.com/question/21367171
How does 21 compare to 7? How does 21 compare to 3?
Write the numbers to describe the relationships.
21 is _____ times as many as 7.
21 is _____ times as many as 3
Answers
Answer:
21 is 3 times as many as 7.
21 is 7 times as many as 3.
Step-by-step explanation:
have a great day
Tori bought some patio bricks and paid
$232. If each brick costs $2, how many
patio bricks did Tori buy?
Answers
Answer:
116
Step-by-step explanation:
$232=$2
if each brick is $2 and you spent $232 divide it
232/2 would be 116 so to check your answer
116*$2(each brick) it would be 232
Answer:
116 bricks
Step-by-step explanation:
you divide 232 by 2
which will give you 116
and to make sure u got 232 you multiple 116 × 2=232