Yes, the triangles are similar to each other by AA rule and EF = 8.
What is similarity in triangles?When two triangles have congruent corresponding angles and corresponding sides in equal ratio, then they are said to be similar.
Given are the triangles, Δ ABC and Δ DEF,
In Δ ABC,
∠A + ∠B + ∠C = 180°
∠B = 180°- (60°+20°)
∠B = 100°
In Δ DEF,
∠D + ∠E + ∠F = 180°
∠F = 180° - (60°+100°)
∠F = 20°
∠A ≅ ∠D
∠B ≅ ∠E
∠C ≅ ∠F
We see, all the corresponding angles are congruent.
Therefore, according to definition of similar triangles Δ ABC ~ Δ DEF,
And,
AB/DE = BC/EF = AC/DF = 3/4
BC/EF = 3/4
6/EF = 3/4
EF = 8
Hence, the triangles are similar to each other by AA rule and EF = 8.
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Travis reads 21/4 pages of his history assignment in 7 1/2
minutes. Which TWO statements are correct?
A)
The unit rate is 7 pages per minute.
B)
7
The unit rate is
10
page per minute.
0)
The unit rate is 51 pages per minute.
D)
At the same rate, Travis reads 40 pages in 28 minutes.
E)
At the same rate, Travis reads 60 pages in 28 minutes.
Answer:
its B and E i just did the question and got it right
Answer:
B and D
Step-by-step explanation:
1/2 til 2:00? = what time
Answer:
the answer is 1:30pm/am
Work out the size of angle X
Answer:
117
Step-by-step explanation:
180-101 = 79
180-(79+38)
180-117
63
180-63=117
Which of the following objects exerts a gravitational force?م the Sun the Moon the Earth a basketball an apple
Answer:
Please rate as brainliest.
Step-by-step explanation:
The Moon exerts its force of gravity; since it's smaller and lighter than Earth, we would discover we weigh around a sixth of our weight on Earth if we could weigh ourselves on it. One could ask why the Moon doesn't fall on Earth as an apple from the tree.
Amy bought a sofa on sale for $511. This price was 27% less than the original price.
What was the original price?
Answer:
This price was 27% less than the original price...
this means that the price Scott paid was 73% of the original price.
(0.73) * (original price) = 511
solving for original price: original price = $ 700
Which expression is equivalent -6(-2/3+2x0
1. -4-12x
2. -4+2x
3. 4-12x
4. 4+12x
Answer:
3
Step-by-step explanation:
Answer:
Number 3
Step-by-step explanation:
-6( [tex]\frac{-2}{3}[/tex] + 2x) [distribute -6 to [tex]\frac{-2}{3}[/tex] and 2x]
= (-6 × [tex]\frac{-2}{3}[/tex]) + (-6 × 2x)
= (-6 × [tex]\frac{-1}{3}[/tex] × 2) + (-12x)
= (2 × 2) - 12x
= 4 - 12x
A bakery offers a sale price of $2.85 for 6 muffins. What is the price per dozen?
The price per dozen muffins is $
.
Pls help me i need your help to do it pls
Answer: 39°
Step-by-step explanation:
This is a right triangle, meaning one of the angles is a 90° angle. Angle CBA in this case is the 90° angle. In order to figure out the measure of ABD, you subtract the measure of CBA by the measure of CBD, which is 51°.
90 - 51 = 39
Thus, the measure of ABD is 39°
please help dont know how to solve
Answer:
35cm
98°
Step-by-step explanation:
4x+3=6x-13
4x+16=6x
16=2x
8= x
4x+3 = 8*4+3 = 35
9y+17=11y-1
9y+18=11y
18=2y
9=y
9y+17 = 9*9+17= 98°
HELP ME RN PLEASEEEE!!!!!!!!
how many 3/8 are in 8, explain how you know
Answer:
exactly 21 sets of 3/8 fit into 8
Step-by-step explanation:
Basically you just draw 8 boxes split them in 8ths and you end up with 21 sets of 3/8
please help me on this will give you brainliest!!
Answer:
0.926
Step-by-step explanation:
Since it ask as decimal you will have to 0. and then the number which 926. Hope this helps, thank you !!
Robin has read 3/4
of a book. Mark said he had read 1/2
as much as Robin. What fraction of the book has Mark ready?
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
3/4 × 1/2 = 3/8I hope this helps!
Ryan ordered some books online and spent a total of . Each book cost and he paid a total of for shipping. How many books did he buy?
Answer: 12 books
Step-by-step explanation:
First you need to remove the cost of shipping from the total amount:
= 75 - 3
= $72
The above is the total amount spent on the books without shipping.
If each book cost $6, the total number of books bought is:
= 72 / 6
= 12 books
Which statement is correct?
O A.
The opposite of the opposite of 6 is 6.
OB.
The opposite of the opposite of 1 is 1.
O C.
The opposite of the opposite of 3 is 0.
O D.
The opposite of the opposite of 5 is.
Answer:
I think its OB but I'm not sure
Step-by-step explanation:
I WILL MARK BRAINLIEST PLEASE HELP ASAP!!!!! Sketch a new graph of this relationship. The equation is y=7/4x
Answer:
Step-by-step explanation:
Plz i need help on a math problem it is 1/4 divided by 2 then go back to 1/4 and divide it again but by 3 then go back to it again and divide it by 4 then go back to 1/4 and divide it by 5 plz someone help me!!!!
Answer:
(1) 1/8
(2) 1/12
(3) 1/16
(4) 1/20
Step-by-step explanation:
We need to find multiple divisions, it says 1/4 divided by 2 then go back to 1/4 and divide it again but by 3 then go back to it again and divide it by 4 then go back to 1/4 and divide it by 5.
We will take one by one
(1) 1/4 divides by 2 will be = 1/8
(2) 1/4 divided by 3 = 1/12
(3) 1/4 divided by 4 = 1/16
(4) 1/4 divided by 5 =1/20
These results are obtained by dividing the given parts, as the given Numerator is in fraction so whatever will be divided from the fractional numerator will get multiplied with the denominator.
What is m_8 if m_4= 50 degrees?
how do you find width of a cylinder ?
PLEASE due in 30 minutes! This is my third time asking for help!!!
v
8
IZ
13
10
U
What is the LCM (least common multiple) of 2 and 7
Answer:
14
Step-by-step explanation:
Answer: 14
Step-by-step explanation:
The greatest common multiple of 2 and 7 is 1, because they are both prime numbers (numbers that cannot be divided by anything other than one or themselves).
Why bother with the greatest common multiple?
There's a very sneaky formula you can do to calculate the LCM with this.
[tex]lcm(a, b) = \frac{|a * b|}{gcd(a, b)}[/tex]
where lcm(a, b) = the least common multiple of integers a and b (1)
a = integer a (2)
b = integer b (7)
gcd(a, b) = greatest common divisor of integers a and b
So let's use it, we have all the available numbers.
[tex]lcm(a, b) = \frac{|2 * 7|}{1} = 14[/tex]
please help my friend, he's struggling on math
Answer:
question 1 = 37 covers , 535 dollars
question 2 = 32 covers , 460 dollars
Expression = 69 covers , 995 dollars
Step-by-step explanation:
You would take the number of covers and multiply it by 15 because 15 dollars is how much they sold each cover for.
and then for the expression wasnt sure what to do but from what i could see you added up the totals.
Hope this helped him :)
also tell me what his snap is BAHA okay lemme stop.
The Acosta family went out to dinner. The price of the meal was $79.85. If the tip was 15%. How much money did the Acosta family pay for the meal, including tip?
A) $91.83
B) $67.87
C) $11.98
D) $94.85
Answer:
the Smith family pay for the meal = $ 36.39Step-by-step explanation:
The Smith family went out to dinner . The price of the meal was $ 29.85 .
The sales tax was 6 % of the price of the meal .
LEts find sales tax amount sales tax amount = price of meal *
sales tax 6 % ( 0.06 ) = 29.85 * 0.06 = 1.791 sales tax amount = 1.791
Price of the mean with sales tax = 29.85 + 1.791 = 31.641
The tip was 15 % of the meal and the sales tax now we find out tip amount for 31.641 15 % is 15 / 100 = 0.15
Tip amount = 31.641 * 0.15 = 4.74615
Now we add the top amount with 31.641 31.641+ 4.74615 = 36.38715
the Smith family pay for the meal = $ 36.39
i need help please 16x-20y=60
slope intercept form
92 divided by 11 with remainder
Answer:
8 remainder 4
A ring is now reduced to £840.
This is a saving of 40% of the original price.
b) Work out the original price of the ring.
Answer:
840÷69=14
14×100=1400
find the are of the triangle
Answer:
5 units^2
Step-by-step explanation:
Area of a triangle =
[tex] \frac{bh}{2} [/tex]
plugging in:
[tex] \frac{5 \times 2}{2} [/tex]
[tex] \frac{10}{2} [/tex]
[tex]5[/tex]
Answer:
A=1/2(b)(h)
H= 2 units
b= 5
A= 10×1/2 = 5 units^2
What are the coordinates of the point P?
Answer:
P (6 , -3)
Step-by-step explanation:
point P : (6 , -3)
19.- Según la gráfica ¿Cuál es la rapidez media entre 4 s y 8 s?
A. 8 m/s
B. 1 m/s
C. 0,5 m/s
Answer:
B. 1m/s es la respuesta correcta
Lauren took 12 hours to read a 360 page book use the unit rate to determine how many hours it will take her to read 150
HELPP PLEASEE
Answer:
360 divied by 2.4 = 150
Step-by-step explanation:
Pleasee helpp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
x = 146º
Step-by-step explanation:
the sum of two angles on the same side is 180º
x + 34º = 180º subtract 34º from both sides
x = 146º