May I please get help describing each? I have tried multiple times to get each of them are
Answers
Definitions:
Perpendicular bisector: A line that bisects (split into two equal parts) a line segment at a right angle (90°)
Angle bisector: A line that bisects a angle.
Median of a triangle: Line segment drawn from a vertex to the middpoint of the opposite side to the vertex.
Altitude of a triangle: Perpendicular segment form a vertex of a triangle to the opposite side.
a) With the given information you can describe FI as:
Median of triangle FGH:Line segment drawn from a vertex (F) to the middpoint of the opposite side to the vertex (GH). The two marks in red indicates that the segments have the same measure (then the point I is the middpoint of the side GH.
Theres is not indication of a perpendicular angle, or a bisection of the angle. Then you can not describe FI as any of the other options.
Related Questions
What's the common difference of the sequence -5, -2, 1,4,7, ...?
Answers
To find the common diference we substract each of the number by the previous one:
[tex]\begin{gathered} -2-(-5)=3 \\ 1-(-2)=3 \\ 4-1=3 \\ 7-4=3 \end{gathered}[/tex]Therefore the common difference is 3 and the answer is B.
what algebra property is this equation: (4y+1)x0=0
Answers
Answer:
It would be called the algebraic property of 0.
Step-by-step explanation:
need a bit of help. Show work
Answers
Answer:
1) yes
2) yes
Step-by-step explanation:
I know #1 is parallel because from the slope-intercept form shown, the slopes of line a and line b are the same, meaning it is parallel.
I known #2 is perpendicular because from the slope-intercept form shown, the slopes of line a and line b are the negative reciprocal of eachother.
The temperature in Phoenix, Arizona is 97 degrees. The temperature on Antarctica can be -3 degrees.How far apart are the temperatures of these two cities?
Answers
Answer:
100 degrees
Explanation:
Given that:
The temperature in Phoenix, Arizona = 97 degrees.
The temperature on Antarctica = -3 degrees.
To determine how far apart the temperature of the two cities are, we find the difference in temperature.
[tex]\begin{gathered} \text{Difference }=97^0-(-3^0) \\ =97^0+3^0 \\ =100^0 \end{gathered}[/tex]The temperature in the two cities is 100 degrees apart.
Graph each equation rewrite in slope-intercept form first if necessary.Y=-1/3x+4
Answers
To graph the linear equation, follow the steps below.
Step 01: Find one point of the line.
To do it, choose a x-value and find its corresponding y-value.
Let's choose x = 0.
Substituting x in the equation to find y:
[tex]\begin{gathered} y=-\frac{1}{3}x+4 \\ y=-\frac{1}{3}*0+4 \\ y=0+4 \\ y=4 \end{gathered}[/tex]First point: (0, 4).
Step 02: Find another point of the line.
Let's choose x = 3.
Substituting x in the equation to find y:
[tex]\begin{gathered} y=-\frac{1}{3}*3+4 \\ y=-\frac{1}{3}*3+4 \\ y=-\frac{3}{3}+4 \\ y=-1+4 \\ y=3 \end{gathered}[/tex]Second point: (3, 3).
Step 03: Plot the two points and connect them to draw the graph.
The graph is shown below:
A group of people were asked if they had run a red light in the last year. 478 responded "yes", and 200 responded "no".Find the probability that if a person is chosen at random, they have run a red light in the last year.
Answers
ANSWER
[tex]P=0.705[/tex]EXPLANATION
The probability that if a person has run a red light in the last year can be found by dividing the number of people that have run a red light in the last year by the total number of people in the group.
The total number of people in the group is:
[tex]\begin{gathered} 478+200 \\ \Rightarrow678 \end{gathered}[/tex]Therefore, the probability is:
[tex]\begin{gathered} P=\frac{478}{678} \\ P=0.705 \end{gathered}[/tex]Find the area of the shaded region. Round your answer to one decimal place, if necessary. Note: The figure is not drawn to scale.
Answers
Area is the quantity that expresses the extent of a region on the plane or on a curved surface. the area of shaded region is 15.728 inches square.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
The diameter of circle is 5, d=5
and the length of side of the equilateral triangle is 3.
to find the area of shaded region we need to find the area of circle and then we have to remove the area of triangle.
π(d/2)²-1/2×a²×sin60⁰
3.14(5/2)²-1/2×3²×√3/2
3.14×2.5²-1/2×9×√3/2
3.14×6.25 -1/2×9×0.866
3.14×6.25-7.794/2
3.14×6.25-3.897
19.625-3.897
15.728
Hence area of shaded region is 15.728 inches square.
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9zxaA14ePolynomialThe parallelogram shown below is transformed. Identify the type of transformation thatoccurred, then write the algebraic rule that describes the transformation. Use a table like theone shown to help you.(5) = ?Copy the text below into the answer space and then replace the _ with your answer.Expression23-(1-1)Op 1 OpType of Transformation:Algebraic Representation: *Get reald67850.0 mLITGGPre-ImageImageWhathappensto x?Whathappensto y?E'HX3FHIG'GEH'9.Enter your answer
Answers
Given the parallelogram and its image
For the point E'
Pre image is E = (2 , 5 )
Image is E' = ( -2 , -5 )
What happen to x? is multiplicative inverse ( multiplied by -1)
What happen to y? is multiplicative inverse ( multiplied by -1)
For the row of F' ;
Pre - image is F = (4 , 8 )
Image is F' = ( -4 , -8 )
What happen to x? is multiplicative inverse ( multiplied by -1)
What happen to y? is multiplicative inverse ( multiplied by -1)
For the row of G' :
Pre - image is G = ( 6 , 5 )
Image is G' = ( -6 , -5 )
What happen to x? is multiplicative inverse ( multiplied by -1)
What happen to y? is multiplicative inverse ( multiplied by -1)
For the row of H' :
Pre - image is H = ( 4 , 2 )
Image is H' = ( -4 , -2 )
What happen to x? is multiplicative inverse ( multiplied by -1)
What happen to y? is multiplicative inverse ( multiplied by -1)
so,
As shown, Type of Transformation: is reflection over the point ( 0 , 0 )
Or can be written reflection Through the origin
Algebraic Representation: ( -x , -y )
the rule of translation
(x , y ) → ( -x , -y)
X is a normally distributed random variable with mean 71 and standard deviation 9.
What is the probability that X is between 60 and 82?
Write your answer as a decimal rounded to the nearest thousandth.
Answers
Since the standard deviation is 10 and the first given score is 40, the 40 is 2 standard deviations below the mean.
On the other hand, 80 is 2 standard deviations above the mean.
Thus, we subtract the probability below the z-score which is 2, 0.97725, and the probability below the z-score which is -2, 0.02275.
[tex]\begin{gathered} P(X)=0.97725-0.02275 \\ P(X)=0.9545 \end{gathered}[/tex]We may obtain the values using the z-score table.
Therefore, the approximate value of the probability is 0.955.
What is the range of the function? ƒ(x) =3/x+4 +1
Enter your answer, in interval notation, by filling in the boxes. Use the drop-down menu at the upper left of keyboard options as
necessary.
Answers
Answer:
(-∝;1)∪(1;+∞).
Step-by-step explanation:
for more details see the attached graph.
State all integer values of x in the interval (1 less than or equal to x less than or equal to 8 ) that satisfy the following inequality:
-3x+9 > 1
Answers
The inequality is -3x+9>1. The inequality value of x is greater then 8/3.
Given that,
The inequality is -3x+9>1
We have to find the x value.
Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. When two values are not equal, we typically use the "not equal symbol ()".But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Take the inequality is greater then symbol,
-3x+9>1
-3x>1-9
-3x>-8
x>-8/-3
x>8/3
Therefore, the inequality value of x is greater then 8/3.
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Let f(x)= sqrt x. Find (g)x, the function that is f(x) shifted up 2 units and left 5 units
Answers
The function f(x) becomes [tex]g(x)=\sqrt{x+5} +2[/tex] after shifting up 2 units and left 5 units.
How is a function vertically and horizontally shifted?Vertical shift: A new function g(x)=f(x)+k, where k is a constant, is a vertical shift of the function f(x), given a function f(x). The output values are all altered by k units. The graph will shift to the right if k is positive. If k is negative, the graph will shift downward.
Horizontal shift: A new function g(x)=f(x-h), where h is a constant, is a horizontal shift of the original function f, where f is a function. Graph shifts to the right if h is positive. If h is negative, the graph will shift to the left.
It is given that [tex]f(x)=\sqrt{x}[/tex].
The graph is shifted up 2 units first.
So, the function becomes [tex]\sqrt{x} +2[/tex]
Now the function is shifted 5 units to the left.
So, the new function. [tex]g(x)=\sqrt{x+5} +2[/tex]
So, the function f(x) becomes [tex]g(x)=\sqrt{x+5} +2[/tex] after shifting up 2 units and left 5 units.
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The table below shows the relationship between the number of water bottles at a park that are thrown away and the number of water bottles at the park that are recycled for each of five months. Which statement correctly descrīdes the relationship between the number of water bottles that are thrown away and the number of water bottles that are recycled at the park each month? Water Bottles at a Park Water Bottles Water Bottles Thrown Away Recycled 40 12 15 24 80 110 A. The relationship is proportional. For every 3 bottles that are thrown away each month, 10 bottles are recycled. B. The relationship is proportional. For every 10 bottles that are thrown away each month, 3 bottles are recycled. c. The relationship is not proportional. The number of water bottles that are thrown away increases more from month to month than the number of water bottles that are recycled. D. The relationship is not proportional. The difference between the number of bottles that are thrown away and the number of bottles that are recycled is not the same for each month.
Answers
EXPLANATION
As we can see in the picture, there is a proportional relationship between the bottles that are thrown away each month and those recycled.
Considering two ordered pairs as for instance, (x_1,y_1)= (40,12) and (x_2,y_2)= (50,15) give us the appropiate rate.
[tex]\text{rate}=\frac{y_2-y_1}{x_1-x_1}[/tex]The rate is as follows:
[tex]rate=\frac{(15-12)}{(50-40)}=\frac{3}{10}\frac{bottles\text{ recycled}}{\text{bottles thrown away}}[/tex]In conclusion, for each 10 bottles thrown away, there are 3 bottles recycled.
The answer is the option B.
help meeee pleasee!!!
thank youu
Answers
Answer:
(-7, 3)
Step-by-step explanation:
Since the endpoints of the interval are not included, use parentheses.
What is the distance between the points (3,4) and (1,5)?
Answers
Answer:
distance between the points (3,4) and (1,5) = 2.236
Step-by-step explanation:
The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]'
For:
[tex](X1, Y1) = (3, 4)\\\\(X2, Y2) = (1, 5)[/tex]
[tex]d = \sqrt {(1 - 3)^2 + (5 - 4)^2}\\\\d = \sqrt {(-2)^2 + (1)^2}\\\\d = \sqrt {{4} + {1}}\\\\d = \sqrt {5}\\\\d = 2.236068[/tex]
Answer:
Exact distance is [tex]\sqrt{5}[/tex]
Approximate distance is 2.2361
Round the decimal value however your teacher instructs.
====================================================
Work Shown:
I used the distance formula to get the following.
[tex](x_1,y_1) = (3,4) \text{ and } (x_2, y_2) = (1,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-1)^2 + (4-5)^2}\\\\d = \sqrt{(2)^2 + (-1)^2}\\\\d = \sqrt{4 + 1}\\\\d = \sqrt{5}\\\\d \approx 2.2361\\\\[/tex]
----------------
A slight alternative is to plot the points A(3,4) and B(1,5) and C(3,5).
Points A and B are the original points we were given. Point C helps form a right triangle. The hypotenuse is AB and the legs are AC and BC.
Leg AC = 1 unit and leg BC = 2 units
Use the pythagorean theorem [tex]a^2+b^2 = c^2[/tex] to plug in a = 1 and b = 2 to find that the hypotenuse is exactly [tex]c = \sqrt{5}[/tex] units long, which is the distance from A to B.
Which value is equivalent to 62 +42 +24? o 28 O 68 o 96 0
Answers
Answer:
128
Explanation:
Given the expression
62 + 42 + 24
Adding the values up will give;
= 62 + (66)
= 128
Hence the equivalent value is 128
Please solve no.13 (i) from here only solve (i) please
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The exchange rate (US$1 = S$x) means that for every S$ she will receive 1 US dollar. Therefore, one can write the equation:
[tex]\begin{gathered} y=x\begin{cases}x=S \\ y=US\end{cases} \\ y=2000\lbrack US\rbrack \end{gathered}[/tex]Consider the following quadratic equation:35x2 = 13x + 12Step 1 of 2: Using the standard form ax² + bx + c = 0 of the given quadratic equation, factor theleft hand side of the equation into two linear factors.AnswerKeypadKeyboard Shortcuts= 0
Answers
Given: The quadratic equation below
[tex]35x^2=13x+12[/tex]To Determine: The two linear factors of the given equation using standard form of a quadratic equation
The standard form of a quadratic equation is given as
[tex]ax^2+bx+c=0[/tex]Re-write the given equation in the standard form as shown below
[tex]\begin{gathered} 35x^2=13x+12 \\ 35x^2-13x-12=0 \end{gathered}[/tex]Factor the left hand side as shown below
[tex]35x^2-28x+15x-12=0[/tex][tex]\begin{gathered} 7x(5x-4)+3(5x-4)=0 \\ (5x-4)(7x+3)=0 \\ \text{Therefore} \\ 35x^2-13x-12=0,in\text{ factored form is} \\ (5x-4)(7x+3)=0 \end{gathered}[/tex]Hence, the two linear factors of the given equation is
(5x -4)(7x + 3) = 0
what number is part of the solution set to the inequality below?m-20> 12 _
Answers
Find the 11th term in this sequence. *10 poin1) -2, 4. -8, 16, ...Find a11
Answers
Given the terms
-2, 4, -8, 16
The first term = -2
The second term is 4
The third term is -8
The fourth term is 16
We can observe that this is a geometric sequence
So to get the 11th term, we will first get the formula
Step 1: Get the common ratio (r)
[tex]\text{common ratio=}\frac{\sec ond\text{ term}}{first\text{ term}}=\frac{third\text{ term}}{\sec ond\text{ term}}[/tex][tex]r=\frac{4}{-2}=\frac{-8}{4}=-2[/tex]Step 2: Get the formula for the nth term
The formula is given by
[tex]T=r^n[/tex][tex]T=(-2)^n[/tex]where T is the nth term
n is the number of terms
Step 3: Find the 11th term
[tex]T_{11}=(-2)^{11}[/tex][tex]T_{11}=-2048[/tex]The 11th term is -2048
I need this for today , thank you
Answers
The completed two-column format used to prove the congruency of the segments [tex]\overline{ST}[/tex] and [tex]\overline{NR}[/tex] is presented as follows;
Statements [tex]{}[/tex] Reasons
1. [tex]\overline{SU}[/tex] ≅ [tex]\overline{LR}[/tex], [tex]\overline{TU}[/tex] ≅ [tex]\overline{LN}[/tex] [tex]{}[/tex] 1. Given
2. [tex]\overline{SU}[/tex] = [tex]\overline{LR}[/tex], [tex]\overline{TU}[/tex] = [tex]\overline{LN}[/tex] [tex]{}[/tex] 2. Definition of congruent segments
3. SU = ST + TU [tex]{}[/tex] 3. Segment addition postulate
LR = LN + NR [tex]{}[/tex]
4. ST + TU = LN + NR [tex]{}[/tex] 4. Substitution property of equality
5. ST + LN = LN + NR [tex]{}[/tex] 5. Substitution property of equality
6. ST + LN - LN = LN + NR - LN [tex]{}[/tex] 6. Subtraction property of equality
7. ST = NR [tex]{}[/tex] 7. Substitution property of equality
8. [tex]\overline{ST}[/tex] ≅ [tex]\overline{NR}[/tex] [tex]{}[/tex] 8. Definition of congruency
What are the postulates, properties and definition used to prove the congruency of the segments?The segment addition postulate states that a third point B can only be located on a line that has two points A and C when the distances between the points satisfy the equation, AC = AB + BCThe substitution property of equality states that if a variable, a = b then the variable a can be substituted with b in any equation.The subtraction property of equality states that the expressions on both sides of an equation remains equivalent following the subtraction of the same amount from the left and right hand side of the equation.Two segments, angles, or figures, are said to be congruent if their size and shape are the same.Learn more about the two column method used to prove statements in geometry here:
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Write 60% as afraction in lowest terms.
Answers
60% as a fraction is 3/5
To solve this, first we need to conver the percentage to decimal:
[tex]undefined[/tex]What is the slope of the line passing through the points (2,
-5) and (4, 1)?
Answers
Answer: 3
Step-by-step explanation:
We can use the slope formula to calculate the slope of the line passing through these two points.
[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{1--5}{4-2} =\frac{1+5}{4-2} =\frac{6}{2} =3[/tex]
When 91 is divided by 1 1/9 the quotient is closest to what whole number?
Justify your answer.
Answers
When 91 is divided by 1 1/9 the quotient is closest to 81.
What is a quotient?
When we divide a number by the dividend the result of the division is known as quotient.
We are given a number as 91
We have to divide 91 by 1 1/9
We get, [tex]\frac{91}{\frac{10}{9} }[/tex]
On simplifying the above equation we get,
[tex]\frac{91}{10}[/tex]·[tex]9[/tex]
[tex]=\frac{819}{10}[/tex]
=81.9
This can be rounded off as this value is close to 82.
Hence when 91 is divided by 1 1/9 the quotient is closest to 82.
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Which of the following are solutions to the system graphed below?
Answers
The solution to the system of inequalities is the shaded area shown in the graph. This also includes the bounding lines of the shaded area since they are all solid lines.
To find the answer, we will check the coordinates provided in the options to see which falls within the shaded portion.
On observation, we can see that the following coordinates fall within the shaded area:
[tex]\begin{gathered} (-5,5) \\ (-4,1) \end{gathered}[/tex]The correct options are OPTION 3 and OPTION 4.
Which measure is the best estimate of the area of the banner in square meters?
Answers
Answer:
6 square meters.
Explanation:
The banner is made up of two congruent triangles and two congruent trapezoids.
The banner forms a triangle with base:
[tex]\begin{gathered} 1\frac{3}{4}+1+1+1\frac{3}{4} \\ =5.5\text{meters} \end{gathered}[/tex]The height of the triangle = 2 meters.
Therefore, the area of the banner:
[tex]\begin{gathered} A=\frac{1}{2}bh \\ =\frac{1}{2}\times5.5\times2 \\ =5.5m^2 \end{gathered}[/tex]The measure that is the best estimate of the area of the banner is 6 square meters.
The equation of a line is x + 5y = 12. What is the y-intercept of the line? D-12 0¹2 12 please answer quickly
Answers
Answer:
12/5
Step-by-step explanation:
Find the y-intercept form of the line by isolating y:
x + 5y = 12
5y = -x + 12
5 5
y = (-1/5)x + 12/5
y = mx + b
In this form, 12/5 is b, which is the line's y-intercept.
Given that the measure of ∠x is 120°, and the measure of ∠y is 60°, find the measure of ∠z.
Answers
The measure of ∠x is 120°, and the measure of ∠y is 60°, find the measure of , ∠z = 0°
What about the triangle angle?A triangle's internal angles always add up to 180°, although its exterior angles are equal to the sum of the two interior angles that are not next to it. Another method for calculating a triangle's exterior angle is to subtract the angle of the vertex of interest from 180°.
Given that,
For triangle,
∠x is 120°
∠y is 60°
now , ∠z = [180° - (120°+60°)]
∠z = 0°
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A rectangle has a height of 3x and a width of 2x-3Express the area or the entire triangle
Answers
Answer
6x² - 9x
Explanation
Given:
Height = 3x
Width = 2x - 3
The area of a rectangle = Length x Width
From the figure, length = height = 3x
Area = 3x(2x - 3)
In expanded form, we shall open the parenthesis
Area = (6x² - 9x) squared unit
3. The 9 boys in Mr. Ackerman's class went
outside for recess. They wore their gloves.
Isaiah and Michael each lost a glove while
outside. How many gloves did the boys bring
back into the classroom?
Answers
Answer:
14.
Step-by-step explanation:
Multiply 9x2 = 18
do 18-4 = 14
boom answer
Answer: 16
Step-by-step explanation:
9 boys in Mr. Ackerman's class
And gloves is plural so it means each boy has 2 gloves/
9 x 2 = 18
Then, 2 boys lost one glove..... glove is singular and there are 2 boys.
This means 2 gloves are missing
18 - 2 = 16
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