The required,
(a) The missing terms of the first sequence are -7, 6, and 19.
(b) The missing terms of the second sequence are 71, 88, and 105.
(c) The missing terms of the third sequence are 2, -6, and -14.
Arithmetic progression is the series of numbers that have common differences between adjacent values
To find the missing terms of each arithmetic sequence, we need to use the formula for the nth term of an arithmetic sequence:
an = a₁ + (n - 1)d
where an is the nth term, a₁ is the first term, n is the number of terms, and d is a common difference.
Sequence 1,
a₁ = -20, an = 19
n = ? (unknown)
d = (an - a1) / (n - 1)
19 = -20 + (n - 1)d
39 = (n - 1)d
d = 39 / (n - 1)
We also know that a₂, a₃, and a₄ are missing, and there are four terms in total. Therefore, n = 4.
d = 39 / (4 - 1) = 13
Using the formula, we can now find the missing terms:
a₂ = a₁ + d = -20 + 13 = -7
a₃ = a₂ + d = -7 + 13 = 6
a₄ = a₃ + d = 6 + 13 = 19
So the missing terms of the first sequence are -7, 6, and 19.
Similarly,
The missing terms of the second sequence are 71, 88, and 105.
The missing terms of the third sequence are 2, -6, and -14.
Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ9
All help is appreciated this is due RLLY SOON HAHAH :D
Please help
Point A is one vertex of triangle ABC. Point B is the
x-intercept of 6x - 4y = -12 and point C is the y-intercept.
What are points B and C? Sketch the triangle in the
coordinate plane.
Point B is _ and point c is_
Answer: Point B is (-2,0) and Point C is (0,3)
Step-by-step explanation:
We know x-intercept is when y=0 and y-intercept is when x=0
Let's first find the x-intercept by replacing y with 0.
6x-4(0)=-12
now let's solve for x
6x-0=-12
x=-2
so Point B is (-2,0)
Now let's find the y-intercept by replacing x with 0
6(0)-4y=-12
now solve for y
-4y=-12
y=3
So point C is (0,3)
An engineer determines that the angle of elevation from her position to the top of a tower is 52°. She measures the angle of elevation again from a point 47 meters farther away from the tower and
finds it to be 31°. Both positions are due east of the town. Find the height of the tower
pls help
Answer:
Step-by-step explanation:
The question is illustrated with the attached image.
Angle of elevation is the angle between a line of sight and the horizontal surface.
Let h be the height of the tower
First, calculate distance BC (x).
This is calculated using the following tan ratio,
tan52=h/x
h=xtan52
From the attached image:,
CD=47+x
tan31=h/x+47
h=(x+47)tan31
xtan52=(x+47)tan31,
solving for x we get, x=41.156m
h=xtan52=41.156 * tan52=53.2m
Det - Given the vector ū = (-1,5), find the magnitude and angle in which the vector points (measured counterclockwise from the positive x-axis, 0
The magnitude of the vector ū is approximately 5.10, and the angle is approximately 281.31°.
The magnitude of a vector is the length of the vector, and is calculated using the Pythagorean Theorem. The angle of a vector is the direction in which the vector points, measured counterclockwise from the positive x-axis.
To find the magnitude of the vector ū = (-1,5), we can use the formula:
magnitude = √(x^2 + y^2)
where x and y are the components of the vector.
Plugging in the values of x and y from the vector ū, we get:
magnitude = √((-1)^2 + (5)^2)
Simplifying the expression, we get:
magnitude = √(1 + 25)
magnitude = √(26)
magnitude ≈ 5.10
To find the angle of the vector, we can use the formula:
angle = tan^-1(y/x)
Plugging in the values of x and y from the vector ū, we get:
angle = tan^-1(5/-1)
angle = tan^-1(-5)
angle ≈ -78.69°
Since the angle is measured counterclockwise from the positive x-axis, we need to add 360° to get the angle in the correct quadrant:
angle = -78.69° + 360°
angle = 281.31°
Therefore, the magnitude of the vector ū is approximately 5.10, and the angle is approximately 281.31°.
Learn more about Magnitude
brainly.com/question/14452091
#SPJ11
Find the perimeter of a regular pentagon with consecutive vertices at A(-3, 5) and B(7, 6).
The regular pentagon's perimeter is therefore sqrt(101) units when its adjacent edges are at A(-3, 5) and B(7, 6).
what is perimeter ?The perimeter of a two-dimensional object is the space surrounding it. It represents the total length of the shape's edges. Typically, the perimeter is calculated using measures like centimetres, metres, or feet.
given
We can use the calculation for the distance between the two provided vertices to determine the length of one side:
sqrt[(7 - (-3))2 Plus (6 - 5)2] yields AB. = sqrt[10^2 + 1^2] = sqrt(101) (101)
Since the five sides of a normal pentagon are all the same length, one side's length is:
sqrt(101) / 5
s = AB / 5
Now, utilising the method for the regular pentagon's perimeter, we have:
Circumference = 5s = 5 sqrt(101) / 5 = sqrt (101)
The regular pentagon's perimeter is therefore sqrt(101) units when its adjacent edges are at A(-3, 5) and B(7, 6).
To know more about perimeter visit:
https://brainly.com/question/6465134
#SPJ1
Peter's parents ollow a regular schedule for taking care of their car.they change the plugs every 30 000km,rotate the tyres every 10 000 km,and replace the brake pads blades every 15 000 km.fter how many kilometers will they first have to change the plugs,rotate the tyres,and replace the brake pads all at once for the first time
They will have to change the plugs, rotate the tyre, and replace the brake pads all at once for the first time after 30,000 km.
What is LCM?LCM is the abbreviated form for Least Common Multiple. LCM of two or more numbers is the lowest of all the common multiples of them.
Given,
Plugs are changed every 30,000 km
Rotate the tyres every 10,000 km
Replace the break pads blades every 15,000 km
All the three will be done together for the first time when all the multiples of the three distances intersect for the first time.
It is enough to find the LCM of 30000, 10000 and 15000 to find the least distance travelled when all the things are done together.
Multiples of 30,000 = 30000, 60000, 90000, ...........
Multiples of 10,000 = 10000, 20000, 30000, .......
Multiples of 15,000 = 15000, 30000, 45000, ........
The common multiple for the first time is 30,000.
Hence all the changes will be made to the car together for the first time after 30,000 km.
To learn more about LCM, click :
https://brainly.com/question/20739723
#SPJ9
Please help! I need to pass this class so please help!
Answer:
x= 27.4
Step-by-step explanation:
a triangle's angles always equal 180 so
34.6+118+x=180
add 34.6 and 118 to get
152.6+x=180
subtract both sides by 152.6 to get
x=27.4
(b) Given a = [2,3,6x], b = [4,2 − x,3], and c = [−1,3,−7], (i) find the unit vectors d in terms of x that are perpendicular to both a and b; (ii) deter- mine the value(s) of x such that d × c has the maximum length. (Please leave your answer in surd form)
(i) The unit vector d that is perpendicular to both a and b is d = (1/|d|) *
[tex][6x^2 - 12x + 9, 24x - 6, -2x - 8][/tex]
[tex]= [(6x^2 - 12x + 9)/|d|, (24x - 6)/|d|, (-2x - 8)/|d|][/tex]
2) Value of [tex]X[/tex]
[tex]Xd|d × c|/dx = (8032x^3 - 21384x^2 + 63976x - 22470)/√(2008x^4 - 7128x^3 + 31988x^2 - 22470x + 9848) = 0[/tex]
It can be found by taking the cross product of a and b, and then dividing by the magnitude of the resulting vector. The cross product of a and b is given by:
[tex]d = a × b = [(3)(3) - (6x)(2-x), (6x)(4) - (2)(3), (2)(2-x) - (3)(4)]= [9 - 12x + 6x^2, 24x - 6, 4 - 2x - 12]= [6x^2 - 12x + 9, 24x - 6, -2x - 8][/tex]
The magnitude of d is given by:
[tex]|d| = √((6x^2 - 12x + 9)^2 + (24x - 6)^2 + (-2x - 8)^2)= √(36x^4 - 144x^3 + 216x^2 - 144x + 81 + 576x^2 - 288x + 36 + 4x^2 + 32x + 64)= √(36x^4 - 144x^3 + 796x^2 - 400x + 181)[/tex]
The unit vector d is then given by:
[tex]d = (1/|d|) * [6x^2 - 12x + 9, 24x - 6, -2x - 8]= [(6x^2 - 12x + 9)/|d|, (24x - 6)/|d|, (-2x - 8)/|d|][/tex]
(ii) To find the value(s) of x such that d × c has the maximum length, we can take the cross product of d and c and find the magnitude of the resulting vector. The cross product of d and c is given by:
[tex]d × c = [((24x - 6)(-7) - (-2x - 8)(3)), ((-2x - 8)(-1) - (6x^2 - 12x + 9)(-7)), ((6x^2 - 12x + 9)(3) - (24x - 6)(-1))]= [-168x + 42 + 6x + 24, 2x + 8 + 42x^2 - 84x + 63, 18x^2 - 36x + 27 + 24x - 6]= [-162x + 66, 42x^2 - 82x + 71, 18x^2 - 12x + 21][/tex]
The magnitude of d × c is given by:
[tex]|d × c| = √((-162x + 66)^2 + (42x^2 - 82x + 71)^2 + (18x^2 - 12x + 21)^2)= √(26244x^2 - 21384x + 4356 + 1764x^4 - 6964x^3 + 5988x^2 - 5834x + 5041 + 324x^4 - 432x^3 + 756x^2 - 252x + 441)= √(2008x^4 - 7128x^3 + 31988x^2 - 22470x + 9848)[/tex]
To find the maximum length of d × c, we can take the derivative of |d × c| with respect to x and set it equal to 0:
[tex]d|d × c|/dx = (8032x^3 - 21384x^2 + 63976x - 22470)/√(2008x^4 - 7128x^3 + 31988x^2 - 22470x + 9848) = 0[/tex]
Solving for x gives the value(s) of x that maximize the length of d × c. This can be done using a numerical method or by finding the roots of the polynomial in the numerator.
Know more about polynomial here:
https://brainly.com/question/11536910
#SPJ11
A-the mean of 10 numbers is 27. What is the sum of the numbers
B-if 5 is added to each number. What is the sum of new set of numbers
C-what is the mean is the new set of numbers
The sum of number is 270, after adding 5 to each number , sum of numbers is 320 and mean is 32.
The mathematical average of a group of two or more numbers is arithmetic mean, add the numbers in a set together and divide by the total number of numbers in the set.
Here the mean of 10 number is 27. We know that ,
[tex]mean=\frac{sum of numbers}{total numbers}\\[/tex]
[tex]27= \frac{sum of numbers}{10}[/tex]
=sum of numbers = 27*10=270.
Now 5 added to each number, we need to add 5 in 10 times( because 10 total number), Then 5*10=50.
Sum of numbers after adding 5 to each number [tex]270+50=320[/tex]
Now, [tex]mean=\frac{320}{10}=32[/tex]
To learn more about arithmetic mean refer the below link
brainly.com/question/30214653
#SPJ4
HELP DUEEE TONIGHT!!!!!
a group of 175 adults were asked whether they exercise and whether they are vegetarian. their responses are summarized in the following table.
Alex goes to a movie on Saturday for $10. While there, he pays $3 for each item he buys at the concession stand.
Which equation best represents this information?
y = 10x + 3
y = 3x - 10
y = 3x + 10
y = 10x - 3
Answer:
y = 3x + 10
Step-by-step explanation:
y represents total he pays
x represents items he buys
total he pays = $3 for each item + $10 movie
y = 3x + 10
In a survey of 200 pet owners in Kathleen's state, the average number of pets per household
was estimated to be 2.75. Using these survey results, Kathleen predicted that about
49,500 pets, in total, would live in 18,000 households in her state. Why is her prediction
flawed? How could she modify her prediction to make it more accurate?
To make her prediction more accurate, Kathleen could modify her approach by using a larger and more representative sample size, or by conducting a more in-depth survey that accounts for regional and socioeconomic variations.
Where is Kathleen mistaken?Kathleen's prediction is flawed because she assumed that the average number of pets per household would remain the same for all households in the state, which may not necessarily be true. The sample size of 200 households may not be representative of the entire population of households in the state, and there may be variations in the number of pets per household across different regions or socioeconomic groups.
To make her prediction more accurate, Kathleen could modify her approach by using a larger and more representative sample size, or by conducting a more in-depth survey that accounts for regional and socioeconomic variations. Alternatively, she could use data from existing sources, such as census data, to estimate the number of pets per household in different regions of the state and adjust her prediction accordingly. It's also worth noting that factors such as pet ownership trends, cultural attitudes towards pets, and population growth may also impact the accuracy of Kathleen's prediction and should be taken into account.
To know more about census data visit:
https://brainly.com/question/4634088
#SPJ1
Find the vertex of the parabola y = –x^2 + 10x – 21.
The vertex of the parabola is (5, 4). The solution has been obtained by using quadratic formula.
What is quadratic formula?
The quadratic formula is used to determine an equation's roots. This formula assists in evaluating the solutions of the quadratic equations instead of the factorization approach.
We are given equation as y = -x² + 10x - 21.
Using quadratic formula, we know that x = -b/2a
So,
x = -10/-2
x = 5
On substituting this in the equation, we get
y = -5² + 10(5) - 21
y = -25 + 50 - 21
y = 4
Hence, the vertex of the parabola is (5, 4).
Learn more about quadratic formula from the given link
https://brainly.com/question/1063546
#SPJ1
The rectangular floor of a classroom is 32 feet in length and 34 feet in width. A scale drawing of the floor has a length of 16 inches. What is the perimeter, in inches, of the floor in the scale drawing?
As a result, the floor's perimeter in the size illustration is 38,016 inches.
In maths, what is perimeter?The perimeter of an object is the space surrounding its border. Find the perimeter of different forms by combining the lengths of their sides.
We can start by finding the scale factor that relates the length of the actual floor to the length of the scale drawing.
The length of the actual floor is 32 feet = 384 inches (since there are 12 inches in a foot).
The length of the scale drawing is given as 16 inches.
Therefore, the scale factor is:
384 inches / 16 inches = 24
This means that one inch on the scale drawing represents 24 inches in the actual floor.
To find the perimeter of the floor in the scale drawing, we need to multiply the perimeter of the actual floor by the scale factor.
The perimeter of the actual floor is:
2(32 feet) + 2(34 feet) = 64 feet + 68 feet = 132 feet
Converting to inches, we get:
132 feet x 12 inches/foot = 1584 inches
Multiplying by the scale factor of 24, we get:
1584 inches x 24 = 38,016 inches
Therefore, the perimeter of the floor in the scale drawing is 38,016 inches.
To know more about Perimeter visit:
https://brainly.com/question/19819849
#SPJ1
3.8% of 25. Show your work
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3.8\% of 25}}{\left( \cfrac{3.8}{100} \right)25}\implies \text{\LARGE 0.95}[/tex]
Answer:
To find 3.8% of 25, we can convert the percentage to a decimal and then multiply it by 25:
3.8% = 0.038 (converting percentage to decimal)
0.038 x 25 = 0.95
Therefore, 3.8% of 25 is 0.95.
Question 3 options: St. Louis Stock Car Races - Attendance Time Trials Finals 1st round 12,645 1st round 17,352 2nd round 16,234 2nd round 21,896 3rd round 18,817 3rd round 23,773 To the nearest thousand, about how many more fans attended the third round finals than the third round time trials?
About 5,000 more fans attended the third round finals than the third round time trials.
Calculating the number of fans that attended the finals than the trialsFrom the question, we are to find the approximate difference between the attendance of the third round finals and the third round time trials.
From the given data, we have:
Attendance Time Trials Finals
1st round 12,645 17,352
2nd round 16,234 21,896
3rd round 18,817 23,773
Third round finals attendance = 23,773
Third round time trials attendance = 18,817
The difference between these two numbers is:
23,773 - 18,817 = 4,956
Rounding this to the nearest thousand gives:
4,956 ≈ 5,000
Hence, The number of fans that attended the third round finals than the third round time trials is about 5,000
Learn more on Calculating the number of fans that attended the finals than the trials here: https://brainly.com/question/30865831
#SPJ1
I need help figuring out this question
Answer:
(4[tex]x^{2}[/tex]+2)([tex]x^{2}[/tex]-3)
Step-by-step explanation:
4x +2
x -3
Ammed five practice test to help him prepare for the written drivers permit test this chart shows the number of times he correctly answered the first five questions
Answer:
there is no chart or questions
Step-by-step explanation:
A car is sold for $20,000. After one year, the value of the car is $13,000. Write an exponential function y to determine the value of the car after x years if the rate of decrease is the same each year.
y=20000*(13000/20000)^x
Estimate the value of the car after 2 years. Round to the nearest dollar. $______________
So, the value of the car after 2 years, rounded to the nearest dollar, is $8450.
To determine the value of the car after 2 years, we need to plug in x=2 into the exponential function y=20000*(13000/20000)^x.
y=20000*(13000/20000)^2
y=20000*(0.65)^2
y=20000*0.4225
y=8450
Therefore, the value of the car after 2 years is $8450.
To round to the nearest dollar, we can look at the decimal part of the number. Since the decimal part is less than 0.5, we can round down to the nearest whole number.
So, the value of the car after 2 years, rounded to the nearest dollar, is $8450.
Learn more about Nearest
brainly.com/question/959839
#SPJ11
List the decimal numbers 4.76, 4.9, 4.08, and 4.7 in order from least to greatest.
4.9, 4.7, 4.08, 4.76
4.7, 4.76, 4.9, 4.08
4.08, 4.7, 4.76, 4.9
4.08, 4.76, 4.9, 4.7
The order of the decimal number from least to greatest is
4.08< 4.7<4.76<4.9.
What is decimal number?Decimals are a form of number in algebra that have a full integer and a fractional portion separated by a decimal point. The decimal point is the dot that separates the whole number from the fractional element of the number. A decimal number is, for instance, 34.5.
Here the given decimal numbers are,
=> 4.76, 4.9, 4.08,4.7
Now ordering the number from smallest to largest
=>4.08< 4.7<4.76<4.9.
Hence the order of the decimal number from least to greatest is 4.08< 4.7<4.76<4.9.
To learn more about decimal numbers refer the below link
https://brainly.com/question/28393353
#SPJ1
What dimensions of a rectangular prism are 1.5 feet by 3.5 by 2 feet. What is the volume of the rectangular prism in cubic feet
If a rectangular prism has dimensions of 1.5 feet by 3.5 feet by 2 feet, its volume, expressed in cubic feet, is 10.5 cubic feet.
The rectangular prism's measurements are —
3.5 feet in length
1.5 feet wide in Size
Height is two feet.
The volume of the rectangular prism is calculated by multiplying these dimensions collectively.
Volume equals length, width, and height, or 3.5 feet, 1.5 feet, and 2 feet.
= 10.5 cubic feet of volume
Hence, the rectangular prism has a volume of 10.5 cubic feet.
To know more about Volume -
brainly.com/question/21416050
A zipline cable is attached to two platforms 1000 ft apart at an angle of depression from the taller platform of 12°. What is the length of the cable, rounded to the nearest foot? 1000 ft 20 ft
Answer:
We can use trigonometry to solve this problem.
A is the taller platform, B is the shorter platform, and x is the length of the zipline cable that we want to find.
We can see that the angle between the horizontal and the zipline cable is 12 degrees, so we can use the tangent function to find x:
Therefore, the length of the zipline cable, rounded to the nearest foot, is 209 ft.
Identify a variable inequality that describes the problem situation. Select the correct answer for each part of the equation.
Vigo earned $127.50 by washing driveways. He spent $70.35 on a new game console controller and then wanted to buy frozen meals that cost $5.99 each. How many frozen meals (x) could he buy while spending no more than his earnings? Also ty if you answer this I appreciate it <3
Answer: 57.15[tex]\geq[/tex] 5.99x
Step-by-step explanation:
127.5-70.35[tex]\geq \\[/tex]x
57.15[tex]\geq[/tex] 5.99x
WILL MARK BRAINLEST JUST PLEASE ANSWER.
Answer: X=10
m<UXV = 46 degrees
Step-by-step explanation:
Angle WXV is 90 degrees, We know this because Angle VXY is 90 degrees, so it is the same on the other side Angle WXV is split into two angles (WXU, and UXV) to find UXV we subtract 44 from 90, which is 46 Degrees, Now we know 5x-4 is equal to 46, 46+4 is 50, 50/5 is 10, so x is 10
The value of x is, 10
And, The value of angle ∠ UXV is, 46°
Given that;
Angle 44° and ∠ UVX is made a right angle.
Hence, We can formulate;
⇒ 44° + ∠ UVX = 90°
⇒ 44° + (5x - 4)° = 90°
⇒ 44 + 5x - 4 = 90
⇒ 5x + 40 = 90
⇒ 5x = 90 - 40
⇒ 5x = 50
⇒ x = 10
Hence, The value of angle ∠ UXV is,
⇒ ∠ UXV = 5x - 4
= 5 × 10 - 4
= 50 - 4
= 46°
Thus, The value of x is, 10
And, The value of angle ∠ UXV is, 46°
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ2
The STEM Innovation Academy building covers about (4)/(7) of the space provided. The area of the space STEM IA owns is about 40,000 square kilometres. What is the approximate area of the school?
The approximate area of the school is 22857 kilometer square.
The approximate area of the school can be found by multiplying the fraction of space covered by the STEM Innovation Academy building by the total area of the space.
In this case, the fraction of space covered is (4)/(7) and the total area of the space is 40,000 square kilometres.
To find the approximate area of the school, we can multiply these two values together:
(4)/(7) * 40,000 = 22,857.14
Therefore, the approximate area of the STEM Innovation Academy building is 22,857.14 square kilometres.
To know more about fraction click on below link:
https://brainly.com/question/8482939#
#SPJ11
Find and simplify f (-x) and use it to determine itf is even, odd, or neither. Use * to enter exponents, as in - 3x^5+4x^2 means --3x3 + 4x?. Do not enter any spaces in the answear f(x) = x^4 - 6x + 2 f(-x)+_______
The answer is f(-x) = x^4 + 6x + 2 and the function is neither even nor odd.
To find f(-x), we simply substitute -x for x in the original function:
f(-x) = (-x)^4 - 6(-x) + 2 = x^4 + 6x + 2
Now, to determine if f is even, odd, or neither, we compare f(x) and f(-x). If f(x) = f(-x), then the function is even. If f(x) = -f(-x), then the function is odd. If neither of these conditions are met, then the function is neither even nor odd.
In this case, f(x) = x^4 - 6x + 2 and f(-x) = x^4 + 6x + 2. These are not equal, so the function is not even. However, if we multiply f(-x) by -1, we get:
-f(-x) = -x^4 - 6x - 2
This is also not equal to f(x), so the function is not odd either. Therefore, the function is neither even nor odd.
Know more about function here:
https://brainly.com/question/3641581
#SPJ11
ALGEBRAIC EXPRESSIONS AND EQUATIONS Solving a linear equation with several occ Solve for w -3(w-1)=-5w+1 Simplify your answer as much as possible. w
To solve the equation -3(w-1)=-5w+1 for w, we will use the following steps:
Step 1: Distribute the -3 on the left side of the equation:
-3w + 3 = -5w + 1
Step 2: Combine like terms on both sides of the equation:
2w = -2
Step 3: Solve for w by dividing both sides of the equation by 2:
w = -1
Therefore, the solution for w is -1.
In HTML format, the answer would be:
<p>To solve the equation -3(w-1)=-5w+1 for w, we will use the following steps:</p>
<ol>
<li>Distribute the -3 on the left side of the equation:
-3w + 3 = -5w + 1</li>
<li>Combine like terms on both sides of the equation:
2w = -2</li>
<li>Solve for w by dividing both sides of the equation by 2:
w = -1</li>
</ol>
<p>Therefore, the solution for w is -1.</p>
Know more about equations
https://brainly.com/question/22688504
#SPJ11
Triangle ABC is similar to triangle DEF. The length of BC¯¯¯¯¯ is 44 cm. The length of DE¯¯¯¯¯ is 14 cm. The length of EF¯¯¯¯¯ is 22 cm.
What is the length of AB¯¯¯¯¯?
Enter your answer in the box.
Answer:
28cm
Step-by-step explanation:
[tex] \frac{44}{22} \times 14 = 28[/tex]
i need help with this bro
The value of x in the triangle given the midsegment points and sections is 1.35 units
Midsegment of a triangleThe mid-segment of a triangle (also called a midline) is a segment joining the midpoints of two sides of a triangle.
The midsegments of triangle UWY are VR, VZ, ZR
To find the value of x, we use a theorem called the mid segment theorem which states that:
"The mid-segment of a triangle, which joins the midpoints of two sides of a triangle, is parallel to the third side of the triangle and half the length of that third side of the triangle."
The third side of triangle UWY is WY and it measures 2.7.
Therefore, x will be 2.7 divided by 2 2.7/2 which will give us the value 1.35 i.e. x = 1.35
To learn more about midsegment triangles visit
https://brainly.com/question/11412750
#SPJ1
Express (x+10)^2 as a trinominal in standard form
Answer:
x^2 + 10x + 20
Step-by-step explanation: When you multiply binomials, you are practically taking each term and multiplying it with others until you are out of combinations. However, when the product is represented in standard form, it requires the terms to be set within a specific order that prompts the term at the highest order/power placed on the furthest left side of the expression. The first term x^2 can be referred to as a term of the second power, 10x is seen as one to the first power (x^1 = 1st), and 20 as 0, since it is a constant.