Answers
Answer: First choice. ECFBDA
Explanation:
The answer choices list either step E or step F first.
It turns out that step E must come first because we place the compass on the original angle ABC to help copy this angle.
The arc formed on angle ABC intersects the two rays as described in step E. Those two intersection points are labeled point D and point E, which is what step C describes. So C must be the next step.
Therefore the correct sequence is ECFBDA.
ECFBDA is the correct order of steps for bisecting angle ABC.
What is angle bisector?"Angle bisector is defined as the ray which divides an angle into two equal measures."
According to the question,
Rearrange the given statements in correct order of steps for angle bisector.
E. Place the compass on point B, and swing an arc that intersects rays BA and BC.
C. Place point D on the intersection of the arc on ray BA and point E on
the intersection of the arc with ray BC.
F. Place the compass on point D, and draw an arc inside the angle.
B. Keeping the compass the same distance , place the compass on point
E. draw an arc inside the angle.
D. Place point F on the intersection of the arcs created from points D
and E.
A. Draw a ray from point B through point F.
Hence, ECFBDA is the correct order of steps for bisecting angle ABC.
Learn more about angle bisector here
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Related Questions
The perimeter of a rectangle is 150. The length of the rectangle is 9 more than the width. Find the width.
Answers
Answer:
33
Step-by-step explanation:
Length = Width + 9
Perimeter = Length + Length + Width + Width
Perimeter = Width + 9 + Width + 9 + Width + Width = 150
4(Width) + 18 = 150
Subtract 18 from both sides:
4(Width) + 18 - 18 = 150 - 18
4(Width) = 132
Divide 4 on both sides:
[tex]\frac{4(Width)}{4} =\frac{132}{4}[/tex]
Width = 33
1 less than the product of 2 and a number
Answers
Product of 2 and a number less than 1 is 2a - 1
Given:
Product of 2 and a number less than 1
Find:
Expression
Computation:
Assume;
Another number is "a"
So,
According to question:
2(a) - 1
Product of 2 and a number less than 1 = 2a - 1
Learn more about liner equation;
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simplify the following expressions ( use distributed property )
Answers
Answer:
x - 3y
Step-by-step explanation:
Step 1: Write expression
[tex]\frac{3x-9y}{3}[/tex]
Step 2: Factor
[tex]\frac{3(x-3y)}{3}[/tex]
Step 3: Simplify
x - 3y
The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n=m−a n = −m − a n=a+m n = a − m
Answers
Answer:
n = m − a
Step-by-step explanation:
Given:
a = m - n
Where,
a = Actual cost an item
m = Original price
n = amount of coupon
Solve the formula for the amount of the coupon
a = m - n
Add n to both sides
a + n = m - n + n
a + n = m
Subtract a from both sides
a + n - a = m - a
n = m - a
Amount of coupon, n = Original price of an item, m - Actual cost of an item, a
Is there a difference between 6.780 and 6.78? Why or why not?
Answers
Answer:
Step-by-step explanation:
No there is no difference because in a decimal the zero's don't matter, they can go on infinitely but if the numbers above zero are the same and in the same order then the zero's don't make any difference.
Can you explain why -5.5 x -5.5 = 30.25 if 5x5 equals 25???? Why is it 30 and not 25??? Please show math.
Answers
Given f(x) = 4(x - 8), determine the value of f(10).
Answers
Answer:
f(x) = 4(x - 8)
4 (10 -8) = 8
Step-by-step explanation:
8 because you would replace the x with 10. f= 4((10) - 8)
Identify the domain, range, and codomain in each graph. Then use the codomain and range to determine whether the
function is onto.
Answers
Answer:
Step-by-step explanation:
Domain : Set of all possible input values (x-values) on a graph
Codomain : Set of all possible out values for the input values (y-values) on the graph
Range : Actual output values for the input values (x-values) given on the graph.
Therefore, for the given graph,
Domain : (-∞, ∞)
Codomain : (-∞, 2]
Range : (-∞, 2]
From the given graph every input value there is a image or output value.
Therefore, the given function is onto.
Help ASAP!!!! Please , 15 points
Answers
Answer:
im probably wrong but i think it's C
15p+69=93.
solve for both variables
Answers
15p+69=93
-69=-69
15p=24
Divide both sides by 15
15P/15=24/15
P=1.6
D
AB = 21
DC = 3x
AD = y +7
BC = 2y
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show that quadrilateral ABCD is a parallelogram
by finding the lengths of the opposite side pairs.
A)
7.3
B)
14,7
21,7
D
21, 14
Answers
Answer:
D) 21,14
Step-by-step explanation:
Solve the equation for the variable.
[tex]13x - 3.4 = 17.6 + 10x[/tex]
x = [?]
Answers
Answer:
[tex]13x - 3.4 = 17.6 + 10x[/tex]
[tex] = ) \: 13x - 10x = 17.6 + 3.4[/tex]
[tex] = ) \: 3x = 21[/tex]
[tex] = )x = \frac{21}{3} [/tex]
[tex] = ) \: x = 7[/tex]
x = 7
Step-by-step explanation:13x - 3.4 = 17.6 + 10x
13x - 10x = 17.6 + 3.4
3x = 21
x = 21 : 3
x = 7
Write the ratio in simplest form 9 to 12
Answers
find how many centimeters are in 4.5 inches, you should
2.54 by 4.5 multiply? divide?
4.5 inches =
centimeters
Answers
Answer:
4.5in=11.43cm
Step-by-step explanation:
4.5*2.54=11.43
Answer:
You multiply
Step-by-step explanation:
You multiply the length value by 2.54 to get 11.43 cm
Convert 8 to Base 2
Answers
first divide 8 by 2 y0u will get 0 remainder
8/2=4 0 remainder
4/2 =2 0 remainder
2/2=1 0 remainder
1/2= 0 1 remainder
8= 1000 base 2
which algebraic rule will produce a translation that is 5units to the right?
Answers
Answer:
(x, y) --> ( x+5, y)
Step-by-step explanation:
3
Find the side length of a cube with a volume of 141 yd
Answers
Answer:
Do you have a picture of the problem/graph?
Step-by-step explanation:
Only then, can i provide an acurate answer!
pls & thx
between what two integers is √32
Answers
Answer:
5 and 6.
Step-by-step explanation:
5^2 = 25 and 6^2= 36
As we know, 32 is between 25 and 36, therefore √32 is between √25 and √36.
Solve for k.
7k - 2 ≥ -9
Answers
Answer: k ≥ -1
Step-by-step explanation:
7k - 2 ≥ -9
add two to both sides
7k ≥ -7
k ≥ -1
Answer:
k ≥ -1
Step-by-step explanation:
7k - 2 ≥ -9
add 2 to both side
7k ≥ -7
divide both sides by 7
k ≥ -1
True or false, 6 divided by 1/2 is larger than 6 1/2
Answers
Answer:
True
Step-by-step explanation:
6 divided by 1/2 is the same as multiplying by two
Answer:
True
Step-by-step explanation:
6 divided by 1/2 = 12
You cannot divide a number by a fraction, so you must multiply by the reciprocal, or the opposite. The reciprocal of 1/2 is 2/1, or 2. 6*2=12
if x divided by 5 = 1760 , what is x ?
please help !
Answers
if x divided by 5 = 1760 , what is x ?
Set up an equation
[tex]\frac{x}{5}=1760[/tex]
Cross multiply
[tex]x=8800[/tex]
:)
Answer:
8,800
Step-by-step explanation:
5×1760=8800 if u divide that by 5
you get 1760
so its 8800
Write an algebraic expression that represents the following statement: “7 less than the quotient of 5 and n" *
Answers
[tex]\huge\boxed{\boxed{\bold{\frac{5}{n}-7}}}[/tex]
[tex]\hrulefill[/tex]
We'll start with the expression for the quotient of [tex]5[/tex] and [tex]n[/tex], which means we'll use division:
[tex]\frac{5}{n}[/tex]
Now we find [tex]7[/tex] less than that, meaning we'll use subtraction:
[tex]\frac{5}{n}\bold{-7}[/tex]
The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If p is the price of the item, then three equivalent forms for the profit are
Standard form: - 2 p^2 + 24p - 54
Factored form: -2(p - 3)(y-9)
Vertex form: -2(p-6)^2 + 18.
Which form is most useful for finding a. The prices that give a profit of zero dollars?
b. The profit when the price is zero?
c. The price that gives the maximum profit?
Answers
Answer:
Step-by-step explanation:
If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.
a). The prices that give a profit of zero dollars.
Expression that is most useful,
Factored form: -2(p - 3)(p - 9) = 0
p = 3, 9
b). The profit when the price is zero .
Standard form:
Profit = -2p² + 24p - 54 = 0
-p² + 12p - 27 = 0
-p² + 3p + 9p - 27 = 0
-p(p - 3) + 9(p -3) = 0
(-p + 9)(p - 3) = 0
p = 3, 9
c). The price that gives the maximum profit.
Vertex form: -2(p - 6)² + 18
Vertex of the given expression → (6, 18)
Maximum profit will be at p = 6.
Therefore, profit = -2(6 - 6)² + 18 = 18
Three sides of a triangular field are of lengths 10 m, 20 m and 15 m respectively. Find the cost of fencing the field at the rate of Rs 25 per m.
Answers
Answer:
Step-by-step explanation:
Length of fence = Perimeter of triangle
= 10 + 20 + 15
Length of the fence = 45 m
Cost of fencing per meter = Rs. 25
Cost of fencing 45 m = 25 * 45
= Rs. 1125
[tex]\huge{\fbox{\fbox{Given:}}}[/tex]
Lengths of the three sides of triangle are 10m,20m and 15m.
Length of the fence =Perimeter of the ∆
[tex](10 + 20 + 15)m \\ = 45m[/tex][tex]\large{\fbox{\gray{Cost \: of \: fencing \: the \: field=}}}[/tex]
[tex]45 \times 25 = Rs1125[/tex]
▬▬▬▬▬▬▬▬▬▬▬Solve for s.
8-45 5+13
Answers
where is the s in here though
show that (x+1)(x+3)(x+5) can be written in the form ax^3 + bx^2 + cx+ d where a,b,c and d are all positive integers.
Answers
Answer:
x³ + 9x² + 23x + 15
Step-by-step explanation:
Given
(x + 1)(x + 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² + 4x + 3)(x + 5)
Each of the terms in the second factor is multiplied by each of the terms in the first factor, that is
x²(x + 5) + 4x(x + 5) + 3(x + 5) ← distribute the 3 parenthesis
= x³ + 5x² + 4x² + 20x + 3x + 15 ← collect like terms
= x³ + 9x² + 23x + 15 ← in the form ax³ + bx² + cx + d
Write two polynomial functions whose quotient will be the same degree as the divisor.
Answers
Answer:
[tex]f(x) = 6x^2 - 11x + 4[/tex]
[tex]g(x) = 3x - 4[/tex]
[tex]q(x) = 2x - 1[/tex]
Step-by-step explanation:
Represent the two polynomials with [tex]f(x)[/tex] and [tex]g(x)[/tex]
Let
[tex]f(x) = 6x^2 - 11x + 4[/tex]
[tex]g(x) = 3x - 4[/tex]
The quotient of two polynomial is the result of division between the two polynomials
Let q(x) represent the quotient polynomial
[tex]q(x) = \frac{f(x)}{g(x)}[/tex]
Where g(x) is the divisor
[tex]q(x) = \frac{6x^2 - 11x + 4}{3x - 4}[/tex]
Factorize the numerator
[tex]q(x) = \frac{6x^2 - 3x - 8x + 4}{3x - 4}[/tex]
[tex]q(x) = \frac{(3x -4)(2x - 1)}{3x - 4}[/tex]
[tex]q(x) = 2x - 1[/tex]
Notice that: q(x) and g(x) have the same degree of 1
Question 4 -
Next >
What is the mode given the data set: 97, 82, 87, 97, 100, 75, 81?
A
81
B.
82
C.
97
D.
100
what’s the mode
Answers
n.p + p for n = 3 and p = 6
Answers
Answer:
Hey there!
3.6+6
9.6
Let me know if this helps :)
You have taken up gardening for relaxation and have decided to fence in your new
rectangular shaped masterpiece. The length of the garden is 4 meters and 34 meters
of fencing is required to completely enclose it. What is the width of the garden?
Answers
Answer:
13 meters
Step-by-step explanation:
Adjacent sides form half the perimeter, so the sum of the unknown side and the given side is 34/2 = 17 meters.
4 meters + width = 17 meters
width = 13 meters . . . . . subtract 4 meters