Answers
Answer:
hi! id say your answer should be B. DF/FB=EG/GC
Step-by-step explanation:
Your question was if FB is parallel to BC, what must be true? A. and C. are not necessarily connected to FB and BC and do not prove that those two lines are parallel. while B. DF/FB = EG/GC does prove that they are parallel because the lines mentioned in the question, FG and BC, are attatched by the lines that are provided by answer B. I hope this helps!
The necessary equation which is true for the given triangle is:
[tex]\frac{AD}{AB} = \frac{AE}{AC}[/tex]
What is the similarity of triangles?Similar triangles are those with the same form but different sizes. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are comparable have corresponding sides that are proportionately equal and corresponding angles that are congruent. The symbol "≈" above illustrates how the triangle looks similar.
Given that,
A right triangle ABC,
which contains two segments DE & FG
So according to properties of similar triangles, the ratio of length of the sides of the triangle is equal,
AB/AC = AD/AE
it can be further simplified as
AB/AD = AC/AE
Therefore, the equation is AB/AD = AC/AE
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Related Questions
3x−4y=−24 Response : A. y=34x+6 B. y=−6x−34 C. y=6x−34 D. y=−34x+6
Answers
Answer:
y = 3/4 x +6
Step-by-step explanation:
3x−4y=−24
Solve for y
Subtract 3x from each side
3x-3x−4y=-3x−24
-4y = -3x-24
Divide each side by -4
-4y/-4 = -3x/-4 -24/-4
y = 3/4 x +6
need help plz 30 POINT EXTRA
Answers
Answer:
12x+20/5y³
Step-by-step explanation:
y³ is divided by y⁶ so it leaves y³ at the below and it produces with 5 so we have 5y³ at below. On the above we should not use y³ because it's already divided by y⁶ so we produce 4 and 3x+5 it gives us 12x+20 so the answer is 12x+20/5y³
Evaluate.
1/2 (11)(15 + 17) =
Answers
Answer: 176
Step-by-step explanation:
To evaluate the equation we have to remove the parentheses and add 15 + 17...
1/2 (11)(15 + 17) =
= 11 * 32 * 1/2
Now, we have to turn it into a fraction and multiply it...
[tex]\frac{1*11*32 }{2}[/tex]
= [tex]\frac{352}{2}[/tex]
352 ÷ 2 = 176
I hope this helps!
Answer:
[tex]176[/tex]
Step-by-step explanation:
[tex] \frac{1}{2} \times 11 \times (15 + 17) \\ \frac{1}{2} \times 11 \times 32 \\ \frac{352}{2} \\ = 176[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the rectangular form of the polar equation?
r−rcosθ=6
Answers
Step-by-step explanation:
r − r cos θ = 6
r = r cos θ + 6
r² = (r cos θ + 6)²
x² + y² = (x + 6)²
x² + y² = x² + 12x + 36
y² = 12x + 36
The rectangular form of the polar equation is x² + y² = 2x + y - 2.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To convert a polar equation to rectangular form, you can use the following relationships between polar and rectangular coordinates:
x = r x cos(theta)
y = r x sin(theta)
where r is the distance from the origin to the point in polar coordinates, and theta is the angle between the positive x-axis and the line connecting the origin and the point.
Now,
So, if you have a polar equation in the form of r = f(theta), you can substitute these expressions for x and y into the equation to obtain a rectangular equation in terms of x and y.
The resulting equation will typically be a function of x and y, rather than just one variable as in the polar form.
For example,
If you have the polar equation r = 2 + sin(Ф), you can substitute x = rcos(Ф) and y = rsin(Ф) to get:
x = (2 + sin(Ф)) x cos(Ф)
y = (2 + sin(Ф)) x sin(Ф)
Simplifying these expressions using trigonometric identities, you can get the rectangular form of the polar equation:
x² + y² = 2x + y - 2
Thus,
The rectangular form of the polar equation is x² + y² = 2x + y - 2.
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help meh now plz im begging u
Answers
Answer:
yes, the 10-foot wave is an outlier
Step-by-step explanation:
Its kinda easy you look at it and know. unless im wrong.
HOPE THIS HELPS
Charlotte is redecorating the master bedroom in her house. She has already purchased a new bedroom set and also plans to paint the room and put in new flooring. The new bedroom set she purchased includes a queen-sized bed, one nightstand, and a dresser. The bed cost $558.49, and the cost of the dresser represented 1/4 of the total amount Charlotte spent on furniture.
For the flooring, Charlotte has decided to put new carpet in the bedroom. She has calculated that the carpet itself will cost $427.35, and the labor to install the carpet will cost $212.52. There is also a $75 fee covering the cost of other flooring supplies, tools, and materials.
1. What percent of the flooring bill will go towards the cost of labor? Round your answer to the nearest percent.
2. If Charlotte spent 25% more on furniture than she will on flooring, how much did she spend on furniture to the nearest cent?
3. What percent of the total furniture cost did Charlotte spend on the nightstand? Round your answer to the nearest percent.
Answers
Answer:
a. 30%
b. $893.59
c.
Answer:
a. 30%
b. $893.59
c.
Step-by-step explanation:
a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.
#To get the percent of the flooring bill that will go towards the cost of labor:
Hence, labor costs 30% of the total flooring costs.
b.The total flooring costs is :
Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:
Hence, she spends $893.59 on furniture.
c.To get what percentage of furniture cost was the night stand.
-Given the total furniture cost is $893.59:
Let x be the cost of the dresser and y the cost of the nightstand;
The percentage is then calculated as:
Hnece the percentage cost of the night stand is
a. Given that the carpet costs $427.35, the labor costs $212.52 and other flooring supplies costs $75.
#To get the percent of the flooring bill that will go towards the cost of labor:
Hence, labor costs 30% of the total flooring costs.
b.The total flooring costs is :
Given that she spends 25% more on furniture than on flooring, we multiply the flooring cost by 125% to get the furniture costs:
Hence, she spends $893.59 on furniture.
c.To get what percentage of furniture cost was the night stand.
-Given the total furniture cost is $893.59:
Let x be the cost of the dresser and y the cost of the nightstand;
The percentage is then calculated as:
Hnece the percentage cost of the night stand is
On a math test given to 20 students, the average was an 82 and the highest score was a 93. Five students scored
below a 70. Which of the following statements must be true?
1. The median is greater than 70
2. The range is greater than 23
3. At least 10 students scored above an 82
A. 1 only
B. 2 only
C. 1 and 2 only
D. 1 and 3 only
E. 1,2 and 3
Answers
Answer:
1 only
Step-by-step explanation:
Answer:
Step-by-step explanation:
Andrew spent 75% of his $20 allowance to go to the movies. How much did he spend? Use at least 2 strategies.
Answers
Answer:
He spent $15
Step-by-step explanation:
20x75% = 15
Y= f(x)= 49^x
Find f(x) when x= 1/2
Answers
Replace x with 1/2 and solve.
49^1/2 = sqrt(49) = 7
f(x)=2x
which expression represents f^-1(x)?
Answers
Answer:
hey !
your answer is C
x=
x/2
Step-by-step explanation:
If the function f(x)=2x then the inverse function is f⁻¹(x) =x/2.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is f(x)=2x.
y=2x
Interchange the variables.
x=2y
Now solve for y
y=x/2
Replace y with f⁻¹(x) to show the final answer.
f⁻¹(x) =x/2
Hence, if the function f(x)=2x then the inverse function is f⁻¹(x) =x/2.
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What is the maturity value of a single-
payment loan of $650 given for 80 days at
15% exact interest?
A $685.39
B $671.37
C $652.37
D $670.36
Answers
Answer:
(B)$671.37
Step-by-step explanation:
Interest Rate, r=15%=0.15
Time, t = [tex]\dfrac{80}{365}[/tex]
Maturity Value at exact interest, S=P(1+rt)
[tex]=\$650 \left (1+0.15*\dfrac{80}{365}\right)\\\\=\$671.37[/tex]
The correct option is B.
1. Find the surface area of the square pyramid.
5 cm
5 cm
Answers
Answer:
80.9
Step-by-step explanation:
A=a2+2aa2
4+h2=52+2·5·52
4+52≈80.9017
5 x 2.5 = 1.25
(12.5 x 4) + 25 = 75
pls help i give u brainliest amd 5 stars
Answers
Answer:
52.5
Step-by-step explanation:
30-18=12 left
18 x 9 = 162
12/2=6
3 x 13.5 = 40.5
162+40.5=202.5
202.5-150= 52.5 euros profit
Can 5, 2, 4 be the measures of the sides of a triangle?
Answers
Answer: Yes
Step-by-step explanation:
In order to form a triangle, the sum of two sides must be GREATER than the third side.
a + b > c & a + c > b & b + c > a
5 + 2 > 4 & 5 + 4 > 2 & 4 + 2 > 6
True True True
The sides 5, 2, 4 satisfy the rules for forming a triangle.
In the diagram below of circle O, chords ab and cd intersect at E.
If measure of arc AC = 72° and measure of arc AEC = 58°, how many degrees are in measure of arc DB?
Answers
Answer:
Correct option: 3
Step-by-step explanation:
When we have a crossing of two chords in a circle, there is a property that relates the angles in the intersection point and the arcs defined in the circle. From this property, we have that:
mAEC = (1/2) * (mAC + mBD)
Using the values of mAEC = 58° and mAC = 72°, we have that:
58 = (1/2) * (72 + mBD)
116 = 72 + mBD
mBD = 116 - 72
mBD = 44°
Correct option: 3
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
Answers
Answer:
5/6
Step-by-step explanation:
2+6+4=12
6+4=10
10/12=5/6
Answer:
10/12
Step-by-step explanation:
is the answer or 5/6
Whats the correct solution
Answers
Answer:
C
Step-by-step explanation:
Hope this helps
work out the value of 10^2-4^3
give your answer as a power of 6
Answers
Answer:
6^2
Step-by-step explanation:
The equation gives you 36.
36 is 6 raised to the power of 2.
You just solve it by observation.
The value of [tex]10^2-4^3 \ is\ 6^2[/tex]
Given that,
The equation is [tex]10^2-4^3[/tex].Based on the above equation, we need to solve it
[tex]= 10^2-4^3[/tex]
= 100 - 64
= 36
[tex]= 6^2[/tex]
Basically we deduct it so that the value could come in a power of 6.
Therefore we can conclude that the value of [tex]10^2-4^3 \ is\ 6^2[/tex]
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Need help! Please answer asap
Answers
Answer:
X=14.4
Step-by-step explanation:
The equation for this problem is (a)(x)=b^2. So substituting the equation,
(10)(x)=(12)^2. Isolating x, we get x=14.4. to check our answer we solve the equation. (10)(14.4)=(12)^2 --> 144=12^2 --> 144=144. The statement is true.
Find the exact value of cos300°.
Answers
Answer:
ok it's simple
cos300° = 0.5 if you want a numerical value .....
Step-by-step explanation:
hopefully it will help youAnswer:
1/2
Explanation:
Exact value means put the calculator away and go to an x/y coordinate plane. Set the angle up in standard position with the initial ray on the positive x-axis and the terminal ray will move counterclockwise around until is sweeps out a 300 degree angle. That angle will be in the fourth quadrant, 60 degrees BELOW the x-axis you started on. But we are not using the negative value, which is measured clockwise. From the negative y axis that is the 270 degree line, we add 30 to that 270 and get the 300 degree angle we want. Angles are always measured from the terminal ray to whichever x-axis its closest to. From the terminal ray to the x-axis forms a 60 degree angle. That means that the reference angle is 60. The side across from a 60 degree angle in a 30-60-90 right triangle is square root of 3, but our side is in the negative y's so it is . Along the x axis is the side across from the 30 degree angle which is a +1. The hypotenuse is 2. These values are from the Pythagorean triple for a 30-60-90 right triangle and should be familiar at this point. The cos identity is the side adjacent to the reference angle over the hypotenuse so our exact value for cos 300 is 1/2.
BRAINLIEST BRAINLIEST!!!! Easy mathhh
Answers
Answer:
sorry if image isn't clear, tried many shots
Step-by-step explanation:
Area: 20 units squared (pls give brainliest)
Kiera operates an orange juice stand. On Monday she used 1/2 of a bag of oranges. On Tuesday she used 3/4 as many oranges as on Monday. How many bags of oranges did Kiera use on Tuesday?
Answers
Answer:
I think the answer is 3/8 bight i might be wrong.
Step-by-step explanation:
3/4*1/2=3/8
All I did was multiply the two fractions.
What is the following product?
Answers
Answer:
10
Step-by-step explanation:
sqrt(10) * sqrt(10)
We know sqrt(a) sqrt(b) = sqrt(ab)
sqrt(10*10)
sqrt(100)
10
3x^2 - 6 = 2x wat is discriminant of the quadratic equation
Answers
Answer:
The discriminant is 76
Step-by-step explanation:
The equation needs to be in the form
ax^2 +bx +c =0
3x^2 - 6 = 2x
Subtract 2x from each side
3x^2 -2x - 6 = 0
The discriminant is
b^2 - 4ac
a = 3 b = -2 c = -6
(-2)^2 -4(3) (-6)
4 + 72
76
Answer:
76
Step-by-step explanation:
There are 16 teams in the state basketball tournament. If each team has an equal chance of winning, what are the chances that the places will go as follows
1st place- West Hordon HS
2nd place- Riverton
3rd place- Bingham
4th place- Copper Hills
Answers
Answer:
25%
Step-by-step explanation:
16/4=4 and that would be like 25/100 because 25 times 4 is 100 so it is 25%
For 10 points if good enough please help
Answers
Answer:
$0.75
Step-by-step explanation:
convert 5000 milligrams to grams which is 5.
Then multiply 5 by 0.15 to get the price which is 0.75
If a circle has a diameter of 26 units, what is its circumference? (Use pie for )
Answers
Answer:
Diameter = 26 units
Circumference = [tex]\pi[/tex]D
Circumference = 22/7 × 26 = 81.71 units
Answer: 81.68 ♀️
Step-by-step explanation:
In the diagram below, square ABCD has side lengths of 6 inches. Arc AC has been drawn with center at point D. Which of the following is closest to the shaded area in square inches?
Answers
Answer:
7.73
Step-by-step explanation:
In the picture attached, the diagram is shown.
Area of square = side² = 6² = 36 in²
The non-shaded area is quarter the area of the circle's area with radius = side of the square. This area is: (1/4)*π*radius² = (1/4)*π*6² = 28.27 in²
Therefore, the shaded area is: Area of square - non-shaded area = 36 in² - 28.27 in² = 7.73 in²
PLWEAASE HELP MEEEEHEHHHHHHHH
WILLL GIVE TONS AND TONS OF POINTS FOR CORRECT ANSWERS!
Answers
24.c
25.d
26.d
27.c
28.a
29.a
Answer:
24.c
25.d
26.d
27.c
28.a
29.a
Step-by-step explanation:
If x =2y -1 and 2x = 3y + 2 then x is
Answers
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me....
Answer:
7
Step-by-step explanation:
x = 2y-1
2x = 4y-2
4y - 2 = 3y + 2
y = 4
x = 2(4) - 1
= 7