Answers
Answers:
DE = 1.1DF = 1.6BC = 4.8===========================================================
Explanation:
I recommend drawing the two triangles as shown below. The diagram isn't to scale, but all that matters is that we get the general idea down.
Your teacher gave you this info:
angle A = angle E (red angles)angle C = angle F (blue angles)These two pieces of info are enough to prove that triangle ABC is similar to triangle EDF. Use the angle angle (AA) similarity theorem to do this proof. The order of the lettering matters because it helps us see how the letters pair up.
A and E go firstB and D in the middleC and F go lastSince the triangles are similar, the scale factor to go from ABC to EDF is EF/AC = 2/6 = 1/3
In other words, the side lengths of triangle EDF are exactly 1/3 that of the corresponding lengths of ABC. Or we can reverse things to say the sides of ABC are 3 times longer than the sides of EDF.
----------------------
Use this scale factor to help determine the missing length ED.
(ED)/(AB) = scale factor
(ED)/(AB) = 1/3
(ED)/(3.3) = 1/3
ED = (1/3)*(3.3)
ED = 1.1
Note how ED/AB = (1.1)/(3.3) = 11/33 = 1/3
----------------------
While we don't know how long sides BC or DF are, we are told that DF is 3.2 units shorter compared to BC.
This means
DF = BC - 3.2
DF = x - 3.2
Then we can say,
(DF)/(BC) = scale factor
(x-3.2)/(x) = 1/3
3(x - 3.2) = x*1
3x - 9.6 = x
3x - x = 9.6
2x = 9.6
x = (9.6)/2
x = 4.8
So BC is x = 4.8 units long and DF is x-3.2 = 4.8-3.2 = 1.6 units long
Related Questions
A line through which two points would be perpendicular to the line y = 2/5x - 5/2 ?
Answers
Answer:
Step-by-step explanation:
c
Carol wants to make a sculpture using brass and aluminum, with the dimensions shown below, Aluno Bree The area of the aluminum section can be found using the equation 1 1 А zah - 1 3 bh 2 Which of the following shows the aluminum section's area formula solved for me A h=2A(a - b) B. 2A h= ab С. A h= 2(a - b) D. h Ala-b) 2
Answers
The aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]
From the complete question, the expression of the area (A) in terms of variables a, b and h is:
[tex]A = ah - bh[/tex]
Factor out h from the expression on the right-hand side
[tex]A = h(a - b)[/tex]
Divide both sides of the equation by (a - b)
[tex]\frac{A}{(a - b)} = h[/tex]
Remove the bracket
[tex]\frac{A}{a - b} = h[/tex]
Rewrite the above equation as follows:
[tex]h =\frac{A}{a - b}[/tex]
Hence, the aluminum section's area formula solved for h is [tex]h =\frac{A}{a - b}[/tex]
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$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 12% by $984.34, how much is invested at each rate? (Round to two decimal places if necessary.)
Answers
Answer:
492.99
Step-by-step explanation: x = amount invested at 12%
y = amount invested at 9%
---
x + y = 20287
0.12x = 0.09y + 492.99
---
put the system of linear equations into standard form
---
x + y = 20287
0.12x - 0.09y = 492.99
The amount invested at 14% is $4144 and the amount invested at 12% is $9894.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
We are given that;
Investment at 14%= $14,038
Investment at 12%= $984.34
Now,
Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:
x + y = 14038 (total amount invested)
0.14x - 0.12y = 984.34 (difference in interest)
We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:
0.02x = 82.88
x = 4144
Then we can plug x into the first equation and get:
y = 14038 - 4144
y = 9894
Therefore, the simple interest will be $4144 and $9894.
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4 x 50 = 200
So why we do 8 divide 200 here we can just write 4 x 50 =200 ?
Answers
Answer:
You can! It's just a matter of personal choice.
Step-by-step explanation:
The Sea Lions are facing off against The Otters in fantasy football. The Sea Lions scored -12 points this
week The Otters scored -17 points this week
Which one of the following inequalities correctly compares the scores?
Choose 1 answer:
-17> -12
8
B
-12 > -17
Which one of the following descriptions is correct?
Choose 1 answer:
Answers
Answer:
the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17
Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
A.
x + y = 13
0.25x + 0.5y = 3.55
B.
x + y = 13
0.25x + 0.05y = 3.55
C.
x + y = 13
25x + 5y = 3.55
D.
x + y = 3.55
0.25x + 0.05y = 13
Answers
Answer:
The answer is B
Step-by-step explanation:
you know that x is quarters which is .25 and you know that y is nickels which is .05
there are a total of 13 coins in the bank so x+y = 13
you also know that the 13 coins = 3.55
so plug in all that you know and the problem is
0.25x + 0.05y = 3.55
can you identify the value of each digit ?
Answers
Answer:WHAT VALUE AND WHAT DIGIT
Step-by-step explanation:
12 cm
5 cm
4 cm
15 cm
The area of the trapezium shown
above is
Answers
Answer:
120cm
Step-by-step explanation:
hope it helps pls mark brainliest
120cm² is the area of the trapezium. The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium.
What is trapezium?A trapezium is indeed a quadrilateral having four straight sides, four corners, and one pair of opposing sides that are parallel to the other pair and the other pair that are not1,2,3,4,5. Bases refers to the parallel sides, whereas Legs 1, 2, 3, and 4 refer to the non-parallel sides.
The two pairs of different sides of a parallelogram are parallel, making it a specific example of a trapezium4. The Trapezium is one of the most popular shapes; when drawn on paper, it creates a two-dimensional shape that resembles a table. A water glass, a lighting fixture, a flower pot, or boats are examples of items that have a trapezium shape.
Area of trapezium =1/2×(sum of parallel sides)×height
= 1/2×(5+4)×12
= 120cm²
Therefore, 120cm² is the area of the trapezium.
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Your question is incomplete but most probably your full question was,
The area of the trapezium shown below is
PLEASE HURRY!!!!!! WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answers
Answer:
Step-by-step explanation:
Can someone plz help me? I really don’t get this
Answers
Answer:
D.
Step-by-step explanation:
The question is asking which expressions are the same. To find the answer, or rather confirm it, you should simplify each expression.
A. 8+(3*y) and (8+3)*y
8+3y and 11y
This cannot be the answer, when simplified they are not equal
B. (7-3)*y and 7-(3*y)
4y and 7-3y
This cannot be the answer, when simplified they are not equal
C. (6/y)+13 and 13+(y/6)
13+6/y and y/6+13
This cannot be the answer, when simplified they are not equal
D. 7+(y*5) and 7+(5*y)
7+5y and 7+5y
This is the answer, when simplified they are equal
I hoped this helped and made it easier to understand! :)
A bank account, initially with $3200, earns interest at a rate of 5.5% compounded monthly. Write an equation for the amount of money in the account at a time,x.
Answers
Answer: The compound interest formula is an equation that lets you estimate how much you will earn with your savings account.
Step-by-step explanation:
Answer these also with standard pls
Answers
a. Slope 2 and y-intercept 3
Slope-intercept form: [tex]\bold{y=2x+3}[/tex]
Standard form: [tex]\bold{2x-y=-3}[/tex]
b. Slope [tex]\frac{3}{5}[/tex] and y-intercept -6
Slope-intercept form: [tex]\bold{y=\frac{3}{5}x-6}[/tex]
Standard form: [tex]\bold{3x-5y=30}[/tex]
c. Slope [tex]-\frac{3}{2}[/tex] and y-intercept 9
Slope-intercept form: [tex]\bold{y=-\frac{3}{2}x+9}[/tex]
Standard form: [tex]\bold{3x+2y=18}[/tex]
d. Slope -3 and y-intercept 0
Slope-intercept form: [tex]\bold{y=-3x}[/tex]
Standard form: [tex]\bold{3x+y=0}[/tex]
Which statement is correct?
Answers
Answer:
The domain of the graph is all real numbers less than or equal to 0.
Hope this helps! :D
I NEED HELP PLEASE AND THANK YOU (asap)
Which relation represents a linear function?
A) (5,6), (3,8), (1,10), (-1, 12)
B) (-3,1), -1,4), (1,9), (3,16)
C) (-2,0), (0,1), (2,3), (4,6)
D) (7,-1), (4,-3), (1,-6), (-2,-9)
Answers
PLSSS HELP!!
Which equation could have been used to create this graph?
y = x + 4
y = 2x
y = 4x
y = x + 2
Answers
rise= 4
run= 1
4/1
A cell phone company charges 30 per month plus 0.07 per minute if Mr franklin cell phone bill was 59.40 how many minutes did he talk for that month
Answers
Answer:
420 minutes
Step-by-step explanation:
first I subtracted 30 from 59.4 and got 29.4
then I divided 29.4 by .07 and got 420
so there you go hope it helped
1) -88 ≤ -8(x+6)
2) 43 > -5k + 3 ≥ 8
Please show work :)
Answers
[tex](1)\\\\-88\leq -8(x+6)\\\\\implies -88\leq -8x -48\\\\\implies -88+48 \leq -8x\\\\\implies -40 \leq -8x\\\\\implies \dfrac{-40}{-8} \geq x~~~~ ;[\text{Dividng by a negative number so, reverse the inequality}]\\\\\implies 5 \geq x\\\\\implies x \leq 5\\\\\text{Interval solution,}~ (-\infty,5]\\\\\\(2)\\\\43 > -5k+3 \geq 8\\\\\text{Now,}\\\\43>-5k+3\\\\\implies 43-3 > -5k\\\\\implies 40 >-5k\\\\\implies - \dfrac{40}5 <k\\\\\implies -8<k\\\\\implies k>-8\\\\[/tex]
[tex]-5k+3 \geq 8\\\\\implies -5k \geq 8 -3\\\\\implies -5k \geq 5\\\\\implies k \leq -1\\\\\text{Combine solutions,}\\\\-8<k\leq -1\\\\\text{Interval solution,}~ (-8, -1][/tex]
Order them from least to greatest
5(exponent 0), 5(exponent 4), and 5(exponent -5)
Answers
5^-5, 5^0, 5^4
Explanation:
5^-5 would end up being in the negatives,
5^0 would end up equaling 5 or 0
5^4 is automatically more than 5^0 because 4 is greater than 0.
The x and y axis are negative what's the quadrant or axis
Answers
Answer:
Need more information
If you want put a graph or explain more your question
Find 20%of $2500 what is the answer
Answers
Answer:
20% of 2500 is 500
Step-by-step explanation:
Answer:
500
Step-by-step explanation:
We need to determine 20% of 2500 now and the procedure explaining it as such
Step 1: In the given case Output Value is 2500.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 2500 = 100%.
Step 4: In the Same way, x = 20%.
Step 5: On dividing the pair of simple equations we got the equation as under
2500 = 100% (1).
x = 20% (2).
(2500%)/(x%) = 100/20
Step 6: Reciprocal of both the sides results in the following equation
x%/2500% = 20/100
Step 7: Simplifying the above obtained equation further will tell what is 20% of 2500
x = 500%
Therefore, 20% of 2500 is 500
Hi, anyone help me with this, please
A television addic can buy either two televisions and three video recorders for $1750 or four televisions and one recorder for $1250. Find the cost of one television and one video recorder
Answers
Answer: helloooo
Step-by-step explanation:
Television = $200 and Video Recorder = $450
sory if im wrong this is just what I think
Which function has only one x-intercept at (−6, 0)?
f(x) = x(x − 6)
f(x) = (x − 6)(x − 6)
f(x) = (x + 6)(x − 6)
f(x) = (x + 6)(x + 6)
Answers
Answer:
D: f(x) = (x+6)(x+6)
Step-by-step explanation:
The function has a multiplicity of 2, meaning the factor appears twice. So, x=-6 will be the only x-intercept.
During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equal to 321 m/s. FINISH R D In the diagram above, D = 2R. What is the radius of the round part of the track, R, equal to? Use n = 3.14. The answer should be rounded to 3 significant figures.
63.4
62.5
61.4
60.1
Answers
Step-by-step explanation:
there is no diagram here.
I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.
Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.
that means he ran 10×321 m in 10 seconds = 3210 m.
so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.
and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).
we know the formula for the circumference of a circle :
2×pi×radius
so, we have then
642 = 2×2R + 2×pi×R = R×(4 + 2×pi)
R = 642 / (4 + 2×pi) = 62.43201701...
and when using the requested "cut-off" pi = 3.14, we get
R = 642 / (4 + 2×3.14) = 62.45136187...
and that is rounded 62.5
so, the second answer option is correct.
Find the specified nth term in the expansion of the binomial.
(8a + 3b)5, n = 5
Answers
Answer:
b= 1/3n - 8a/3
Step-by-step explanation:
hope that help you mark me brinilylist
HELP! I WILL NOT TAKE SPAM ANSWERS! IF U SEND ME AA LINK I'M GONNA GET MAD!
An electrician cut 3 5/8 yards of wire into six equal sections. After cutting, how long was each piece?
Answers
Answer:
29/48
Step-by-step explanation:
3 5/8 Divided By 6= 29/48
Dividing fractions is simple if you know what to do, and how to multiply.
Here's how:
-----------------------------
1. convert any whole number or mixed number into a fraction.
6 = 6/1.
Whole number x denominator + numerator = 29/8
(3) (8) (5) (answer/original denominator)
-----------------------------
2. Keep, Change, Flip (KCF)
29 1
__ x __
8 6
With KCF, we keep the first fraction, change the division to multiplication, and flip the second fraction.
---------------------------------------
3. Multiply numerators and denominators
29 x 1 = 29
__
8 x 6 = 48
29/48 is in it's simplest form.
Hence, your answer.
Each wired piece was 29/48 of a yard.P.S - Please let me know if i made any mistakes.Please help me with the math below
Answers
Answer:
A. $4.25 per 1 kg of spice
B. 60 : 40 = 3 : 2
Step-by-step explanation:
200 g = 0.2 kg (÷100)
unit price formula: cost ÷ quantity
0.85 ÷ 0.2 = 4.25
set a proportion;
60 3
---- = ---
x 2
3÷60 = 0.05 2
2 ÷ 0.05 = 40
x = 40
hope this helps!
Please help me I have no idea what I'm doing :(
Answers
Answer:
x = (-b ± √b² - 4ac)/2a
Step-by-step explanation:
36069 in scientific notation
Answers
Answer
A: 3.6069 x 10^4
One package of blueberries cost $3. How many packages of blueberries can you buy for $9?
Round the answer to the nearest whole number!
Answers
Answer:
3 packages
Step-by-step explanation:
To find how many packages you can buy for $9, you have to divide 9 by 3.
Since each package costs $3.
So, 9/3 = 3
So you can buy 3 packages of blueberries.
Answer:
3 Packages
Step-by-step explanation:
1 package costs $3
2 packages cost $6 (because 3+3=6)
3 packages cost $9- And we have exactly $9 so we can buy 3 packages.
A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Its multiple choice:
A 21.8 km/hr
B 66,000 kg km/hr
C 21.8 kg km/hr
D 66,000 km/hr
Thank you for whoever solves this, I will make sure to add brainliest if possible
