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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The price to buy a t-shirt was $10 dollars and now the price for the t-shirt is $8.50. What is the
price decrease?
Answer:
2.50 cuz write ten and a half tally marks ten take 8.50 away
I need help please :( !
Use the graph to write a linear function that relates y to x.
y=
Answer:
y=4/3x+2
Step-by-step explanation:
10. Find the area of the figure to the
3 In
right.
3 in
2 in.
9 in
Answer:
27 inch sq is correct answer
You need to have a password with 6 letters followed by 3 odd digits between 0 and 9
, inclusive. If the characters and digits cannot be used more than once, how many choices do you have for your password?
Answer:
9,945,936,000.
Step-by-step explanation:
This is the number of permutations of 6 letters from 26 multiplied by number of permutations of 3 odd digits between 0 and 9.
The total number of odd digits between 0 and 9 are 1,3,5,7,9 = 5.
So the number of choices are
26P6 * 5P3.
= 26!/(26-6)! * 5!/ 2!
= 26!/20! * 5!/2!
= 165765600 * 60
= 9945936000.
A group of friends were working on a student film that had a budget of $1140. They used 65% of their budget on costumes. How much money did they spend on costumes?
Answer:
They use 741 dollars
Step-by-step explanation:
Write 65% as
65/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
65/100 of 1140 = 65/100× 1140
Therefore, the answer is 741
If you are using a calculator, simply enter 65÷100×1140 which will give you 741 as the answer.
Amount of budget spend on costume is $741
Given that;
Total budget of student firm = $1140
Percentage of budget used = 65%
Find:
Amount of budget spend on costume
Computation:
Amount of budget spend on costume = Total budget of student firm × Percentage of budget used
Amount of budget spend on costume = 1,140 × 65%
Amount of budget spend on costume = 1,140 × 0.65
Amount of budget spend on costume = $741
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The coldest temperature in New York City was -15 on February 9th 1934, The next day the temperature rose 42 degrees. Write an expression for the temperature on February 10th
Answer:
27°C
Step-by-step explanation:
The temperature on February 9th 1934 = -15°C
The next day the temperature rose 42 degrees.
We need to find an expression for the temperature on February 10th.
February 10th temperature = -15 + 42
= 27°C
So, the temperature on February 10th is 27°C.
Answer: it would be 42+(-15)
Step-by-step explanation:
Got it right
efectúa la siguientes operaciones 3254+535
Answer:
3789
Step-by-step explanation:
Let f(x) = 15x - 25 represent the profit function and a represent the number of T-shirts sold. Which statement is true
of f(200)?
It results in 15 and means that 15 T-shirts were sold.
B It results in 15 and means that $15 was made in profit.
It results in 2,975 and means that 2,975 T-shirts were sold.
It results in 2,975 and means that $2,975 was made in profit.
18
Write an exponential function to represent the table and give the percent
growth or decay.
(0,40),(1,20),(2,10),(3,5)
Answer:
Step-by-step explanation:
f(t) = 40×0.5^t
I need help on slope. Anything concerning slope. Any advice you have would be worth a whole lot.
HELP I WILL GIVE BRAINLIEST
Solve for x.
7x + 14 – 2x = −x + 12 – x − 19
A. x = −3
B. x = −1
C. x = 1
D. x = 3
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
X COULD BE 2 OR 7
Step-by-step explanation:
Answer:
A. x= -3
Step-by-step explanation:
firstly collect all the terms . then move the term so it'd look like 5x+14 = -2x - 7 then calculate it then it would look like this : 5x+2x = -7 -14 after you move the terms you again calculate it and then the finish product would look like this : 7x = -21 so after you get that you divide by both sides and the answer is -3 . (im sorry if that don't make sense) but the answer is A.
Find the measure of each exterior angle of a regular polygon of 15 sides
Help help help please please please :)
Whats a example for a equivalent expression?
Answer:
2 (2x -1) -1
Step-by-step explanation:
which is
4x-3
Similarity between rotational, reflection and translation symmetry
Answer:
Step-by-step explanation:
The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $1.50. Today they made $135.50 from the 117 wraps sold. How many of the wraps sold were vegetarian?
Answer:
Number of vegetarian wraps = 80
Number of chicken wraps = 37
Step-by-step explanation:
Let
Number of vegetarian wraps = x
Number of chicken wraps = y
x + y = 117 (1)
x + 1.5y = 135.50 (2)
Subtract (1) from (2) to eliminate x
1.50y - y = 135.50 - 117
0.50y = 18.50
y = 18.50/0.50
y = 37
Substitute y = 37 into (1)
x + y = 117 (1)
x + 37 = 117
x = 117 - 37
x = 80
Number of vegetarian wraps = 80
Number of chicken wraps = 37
What is the value of x?
Answer:
60
Step-by-step Explanation
[tex]x \degree = \frac{1}{2} (172 \degree - 52 \degree) \\ \\ x \degree = \frac{1}{2} \times 120 \degree \\ \\ x \degree = 60 \degree \\ \\ x = 60[/tex]
which table represents a linear function?
(i-ready diagnostic)
Answer:
Step-by-step explanation:
If there are no exponents higher than 1, the function is linear.
Answer:
this cannot be answered as there is no picture for me to look at, nore are there any possible answers to go off of.
A sum of money is to be shared in the ratio 3:5.7 if the smallest share is $9, what are the other two
w much money is shared?
Answer:
g
Step-by-step explanation:h
help ASAP thanks,....
Answer:
Yes they both are same
Because the sides of figure are same both they consider as polygon, polygon doesn't depend on scale it depends upon their properties
which of the following statements are true?
Answer:
A. C.
Step-by-step explanation:
HELPPPP FAST!!! get brainliest if right
Answer:
60
Step-by-step explanation:
150/250 means she would have sold 60% of the corn, and 60% is 60/100 so no further work is required because the corn at start is already 100.
The equation for the price of a baseball card that was bought for 5 dollars and has appreciated 5% yearly. Find the yearly calue of the card 25 years later
Answer:
The yearly value of the card 25 years later is $16.93.
Step-by-step explanation:
You can use the following formula to find the future value:
FV=PV(1+r)^n
FV= future value
PV= present value= 5
r=rate= 0.05
n=number of periods of time= 25
Now, you can replace the values in the formula:
FV=5(1+0.05)^25
FV=5(1.05)^25
FV=16.93
According to this, the answer is that the yearly value of the card 25 years later is $16.93.
What is the answer to 0*8(3+1-4)
Answer:
caca
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
(0)(8)(3+1−4)
=0(3+1−4)
=0(4−4)
=(0)(0)
=0
HELP ME WITH THIS WHO ANSWERS CORRECTLY I WILL GIVE BRAINLIEST!
F (n) =? I NEED ODD AND EVEN ANSWERS!!!
Answer:conjectured that F(n)≈0.72∗n∗f(n). Following that clue, we can find the following identity holds for all cases we tested by trial and error.
F(n)=nf(n)−(n−2)f(n−2)+(n−4)f(n−4)−(n−6)f(n−6)+⋯
where the sequence of summands goes on as long as the summand makes sense.
Step-by-step explanation:
write an equivalent expression for 4(4g-6)-7g. simplify the expression.
Answer:
9g-24
Step-by-step explanation:
4(4g-6)-7g
16g-24-7g
16g-7g-24
9g-24
Jan and Jerome are mixing red paint with white paint to make pink paint, in the ratio of 4 parts red to 5 parts white. How many gallons of red paint should they mix with 1 gallon of white paint? Express your answer as a common fraction
Answer:
0.8 gallons of red paint or 4/5 gallons of red paint
Step-by-step explanation:
Jan and Jerome are mixing red paint with white paint to make pink paint, in the ratio of 4 parts red to 5 parts white. How many gallons of red paint should they mix with 1 gallon of white paint? Express your answer as a common fraction
How many gallons of red paint should they mix with 1 gallon of white paint?
Let parts be represented as x
Hence:
Red : white
4 : 5
4/5 = x/ 1
We cross Multiply
5x = 4
x = 4/5
x = 0.8 gallons of red paint or 4/5 gallons of red paint
Answer:
4/5
Step-by-step explanation:
I got it correct for mathcounts
Find the value of x.
48°
(7x + 13)
Answer:
336x + 624
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
i have no idea why there is a degree symbol by it probably an angle
anyway
7x+13=48
subtract 13 from both sides
7x+13-13=48-48 -> 7x=35
divide
7x/35
x=5
uwu
Find the hypotenuse.
(4 Points)
Answer:
x = 13
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 5² + 12² = 25 + 144 = 169 ( take the square root of both sides )
x = [tex]\sqrt{169}[/tex] = 13
Answer:
a²+b²=c²
5²+12²= c²
25+144=c²
169=c²
[tex] \sqrt{169 =} \sqrt{c} [/tex]
13=c