The angles formed by the angle bisector BF are ∠FBA and ∠FBC.
The step in which the mistake was made is step 3; Then, she placed the compass on point C and drew an arc on the interior of ∠ABC which intersects the previous arc.
Reasons:
The steps to draw an angle bisector are;
Place the compass at the vertex of the angle and draw an arc intersecting the the two rays forming the angle at points D and E
Place the compass at point D and draw an interior arc to the given angle
Place the compass at point E and draw a second interior arc intersecting the previous arc
The point of intersection of the two arcs can be labelled F and joined to the vertex of the given angle to complete the angle bisection
Therefore, the step in which the mistake was made is; Step 3 where the compass is placed at point C rather than point E to draw the second arc of the angle bisector
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Answer:
Step three
Step-by-step explanation:
she placed the point on C when it was supposed to be on E
how to express each of the following ratios in simplest dorm
Step-by-step explanation:
I am sorry but please give detailed question
Using Trig to Find a Side
The value of the length x in a given triangle by using the trigonometry formula would be 9.6 units.
Given that,
A triangle UVW is shown in the image with sides and angles,
vw = 6.4
uv = x
And, ∠wuv = 42°
Used the trigonometry formula which states that,
[tex]\text{ sin x} = \dfrac{\text{ Opposite}}{\text{ Hypotenuse}}[/tex]
Here, we have;
An angle ∠wuv = 42°.
So, we get;
[tex]\text{ sin 42} = \dfrac{\text{ vw}}{\text{ uv}}[/tex]
Substitute given values,
[tex]\text{ sin 42} = \dfrac{\text{ 6.4}}{\text{ x}}[/tex]
Since, sin (42°) = 0.67
Hence,
[tex]0.67 = \dfrac{6.4}{x}[/tex]
Multiply by x on both sides,
[tex]0.67 \times x = 6.4[/tex]
Divide both sides by 0.67, we get;
[tex]x = \dfrac{6.4}{0.67}[/tex]
[tex]x = 9.55[/tex]
Round to the nearest tenth,
[tex]x = 9.6[/tex]
So, the value of x is 9.6 units.
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One gallon is approximately 3. 875 liters. Mario buys 1. 5 gallons of gasoline for his lawn trimmer. How many liters of gasoline, to the nearest tenth, did Mario buy?.
Based on the amount of gasoline Mario bought in gallons, the amount in liters would be 5.8 liters.
A single gallon is equivalent to 3.875 liters.
If Mario bought 1.5 gallons of gasoline, the amount he bought in liters would be:
= Gasoline in gallons x Number of liters per gallon
= 1.5 x 3.875
= 5.8125
= 5.8 liters
In conclusion, Mario bought 5.8 liters of gasoline.
Find out more at https://brainly.com/question/237650.
how to find vertical asymptotes and horizontal asymptotes
Answer:
Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0. Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote. Degree of numerator is equal to degree of denominator: horizontal asymptote at ratio of leading coefficients.
Step-by-step explanation: Correct me if i'm wrong lol.
pls pls help i need help
Answer:
3 m/s/s
Step-by-step explanation:
F = ma
28 = 4m
m = 7
m is constant throughout
21 = 7a
a = 3
3 m/s/s
What do u get after dividing the sum of 352 and 698 by 5
Answer:
the answer to the question is 210
Factorise fully 2ab^3+ 8a^2b
The factorization of the given expression is 2ab(b²+4a).
The given expression is 2ab³+8a²b.
What is factorization?A number's factors are those that divide into another number equally. A number is factorized when it is written as the sum of smaller numbers.
The given expression can be factorize as follows:
2ab³+8a²b
Here, 2ab is the common factor from both the terms, Take it out side the bracket.
That is, 2ab(b²+4a)
Therefore, the factorization of the given expression is 2ab(b²+4a).
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Solve the system of linear equations by substitution
6x-9=y
y=-3x
Answer:
x=1, y=-3. (1, -3).
Step-by-step explanation:
6x-9=y
y=-3x
-----------
6x-9=-3x
6x-(-3x)=9
6x+3x=9
9x=9
x=9/9
x=1
y=-3(1)
y=-3
What is the 13th term of the geometric sequence
4, 12, 36, 108, ...?
Answer: 2,125,764
Step-by-step explanation:
You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term
The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:
y=4*3^(n-1)
Substitute 13 for n:
y=4*3^(13-1)
y=4*3^12
y=2125764
Therefore, the 13th term of this geometric sequence is 2,125,764
PLEASE HELP!!!!!!!!!!!!!
Perform (3x3 – 2x2 + 3x – 4) ÷ (x – 3) to find the value of the remainder.
A) 78
B) 68
C) 88
D) 98
Answer:
B.68
Step-by-step explanation:
divide using polynomial long division
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
[please put in correct order]
In the partially shown sequence: …, 17711, A, B, 75025, …, each new term is the sum of the two previous terms. Find the whole number value of A. I GIVE BRAINLIEST!
Answer:
24513
Step-by-step explanation:
Write an equation that represents the line plsss
Adrian purchases a book for $9.86 and a poster for $3.49. If she gives the cashier
$15.00, how much change should she receive? (Don't worry about taxes!)
Sonja has a bank account balance of $1400. Each week, her balance changes by-$85.25. She wants to keep the balance above $377. How many weeks will Sonja's balance remain above $377? Select from the drop-down menu to correctly complete the statement. Sonja's balance will remain above $377 Choose... v weeks.
Answer:
12 Weeks
Step-by-step explanation:
$1400 - $377 = $1023
1023 / 85.25 = 12 Weeks
Answer:
Its will take Sonja 12 weeks
Step-by-step explanation:
Complete all 10 problems
Answer:
11. 10+2r 12.-7v+7 13.1-2b 14. 5n+10 15. 12v 16.-12n 17. 0 18. -4n+10 19. 5b+9 20. 5v-8
Step-by-step explanation:
Sorry I don't have much time. I'll just send you a tip
If you complete all 10 problems, it's a lot of work... you shouldn't send just 5 points or everyone's not going to answer this.
You're lucky because I just answered this. Thanks!
:)
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of OC at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. Find Q3, the third quartile.
A) 0.53
B) 0.67
C) -1.3
D) 0.82
Using the normal distribution, it is found that the third quartile is of Q3 = 0.67, hence option B is correct.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 0ºC, hence [tex]\mu = 0[/tex].The standard deviation is of 1ºC, hence [tex]\sigma = 1[/tex].The third quartile is X when Z has a p-value of 0.75, as [tex]100\frac{3}{4} = 75[/tex], hence X when Z = 0.67.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.67 = \frac{X - 0}{1}[/tex]
[tex]X = 0.67[/tex]
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The product of the roots of the equation ax^2+x-24=0 is equal to -2 2/5. Find the value of a in the equation. Please help 100 points and branliest.
[tex]ax^2 + x -24 =0\\\\\text{If the roots are}~ \alpha ~ \text{and}~ \beta,\\\\\alpha \beta = -\dfrac{24}a \\\\\implies -2 \dfrac 25 = -\dfrac{24} a\\\\ \implies 2 \dfrac 25 = \dfrac{24} a\\\\\implies \dfrac{12}5 = \dfrac{24}a\\\\\implies 12a = 120\\\\\implies a =\dfrac{120}{12} =10[/tex]
Plz help me answer this. Find the area plz ASAP
Answer:
42 square centimeters
I think that is the right answer
sorry if it is wrong
Answer:
7×6= 42 square centimeters
in the united states 16 out of every 20 cans are recycled what percent of cans are recycled
Answer:
80%
Step-by-step explanation:
First, you multiply 20 by 5, which gives you 100. Then multiply 16 by 5, which is 80. 80 out of 100 is 80%
Answer:80%
Step-by-step explanation:16/20=0.8 Knowing this the answer will be 80% of cans are recycled in this equation
help me pls..........
Answer:
1000x or 1000 thousand times greater
Step-by-step explanation:
every decimal to the left is 10x greater than the one right of it.
Jonah uses 1/2 of a cup of vinegar in his salad dressing recipe. How much vinegar would
Jonah use to make 1/2 of a recipe?
Write your answer as a fraction or as a whole or mixed number.
cups
Answer:
1/4 cup
Step-by-step explanation:
Assuming that the recipe makes 1 cup of dressing, Jonah would need 1/4 cup of vinegar. Half of 1/2 is 1/4.
the sum of two consecurivenodd numbers is twenty four find the numbers
Answer:
the numbers are (11,13)
can you help solve this?
Answer:
Step-by-step explanation:
Kaya is riding her dirt bike eastward on a dirt road. She spots a pothole ahead. Kaya slows her car from 18.0 m/s to 6.5 m/s in 6.5 s. What is her acceleration?
NEED HELP ASAP ALGEBRA 2
Answer:
3.5hours
Step-by-step explanation:
7 hours is the max but divided by 2 people it is 3½ hours
Sarah is buying gifts for her friends. She is purchasing phone cases and chargers. The phone cases cost $25 and the charges cost $30. She
plans on spending no more than $100 and wants to buy at least 4 gifts. Which inequalities would be used to model this situation?
Answer:
Step-by-step explanation:
Let P be the number of phone cases and C the number of chargers.
p($25) + C($30) ≤ $100
and
P + C ≥ 4
name all the properties of a square
Answer:
Here :)
Equilateral Polygon,
Convex Polygon,
Cyclic
Isgonal Figure
Istoxal Figure
Simplify using the laws of exponents.
[2⁴/2³]⁵
To know this answer we need to know how to solve it. Many people skip this part which makes their answer wrong.
It is asking us to simplify it using exponents.
Exponents are these little numbers beside a big number Telling it how much you multiply it by.
EXAMPLES
2^3 is just 2x2x2
2^4 is just 2x2x2x2
Notice the pattern? I hope so!
Now 2 to the power of 4 is 16. Our new equation looks like this
{16/2^3}^5.
Now 2 to the power of 3 is 8.
So, our new equation is
{16/8}^5
In which you get 2^5 which is just 2x2x2x2x2
And you get 32 as the final answer
I hope this helped and if you have questions just tell me!!