If ΔLMN is similar to ΔPQR then length of PR = 15 by corresponding sides of similar triangles property.
What is the relation between corresponding sides of two similar triangles?
Two figures are said to be similar if they have same shape but size may vary.If two triangles are similar then their :-Corresponding angles are congruent. Corresponding sides are in the same ratio.ΔLMN is similar to ΔPQR
Corresponding angles are equal - ∠L = ∠P, ∠M = ∠Q, ∠N = ∠R.Corresponding sides are in same ratio - \(\frac{LM}{PQ} = \frac{LN}{PR} = \frac{MN}{QR}\)According to the given data:
ΔLMN is similar to ΔPQR, therefore their corresponding sides are in same ratio,
LM/PQ = 8/6
LN/PR = 20/(2x - 1)
Substituting the values and solving for 2x -1 which is given length of PR
\(\frac{8}{6} = \frac{20}{2x -1} \\\\8(2x -1) = (20)(6)\\\\PR = 2x - 1 = \frac{120}{8} \\\\\)Therefore, length of PR = 15.
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Someone please Help!! 30 Points
There are currently 1,250 pine trees on Judy's plot of land. The number of pine trees on her land is currently decreasing at a rate of 14% per year.
Which of the following graphs shows the number of pine trees, Np, on Judy's land x years from now?
Answer: we would need to see the graphs to address this question fully, but you should look for the graph that starts at x = 0, 1250 and decreases by 14% compared to the previous year
so for example, x = 1, the y value should be 1250 - (0.14)(1250)
Step-by-step explanation:
Express 0.00419 in standard form with solutions
Answer:
4.19 × 10^-3
Step-by-step explanation:
Express 0.00419 in standard form with solutions
= 0.00419 in standard form means to raise to the power of 10
= 0.00419
= 4.19 × 10^-3
Therefore, 0.00419 in standard form is 4.19 × 10^-3
Geometry help ??!!??!&&
Answer:
AB = 14
Step-by-step explanation:
We can add the segments together to find the total
AB + BC = AC
This will allow us to find x
4x+2 + 3x-1 = 22
Combine like terms
7x +1 = 22
Subtract 1 from each side
7x+1-1 = 22-1
7x = 21
Divide by 7
7x/7 = 21/7
x = 3
Now we can find the length of AB
AB = 4x+2 = 4(3)+2 = 12+2 = 14
Marcos is flying a kite 35 feet above an oak tree. The angle of elevation to the top of the tree is 16 degrees and the angle of elevation to the kite is 25 degrees. What id the distance, b, to the nearest foot marcos is standing from the tree?
9514 1404 393
Answer:
195 ft
Step-by-step explanation:
The relationship between the horizontal distance, angle, and vertical height is given by ...
Tan = Opposite/Adjacent
Referring to the attached diagram, we have ...
tan(16°) = BT/MB
tan(25°) = BK/MB
Solving for BT and BK, we can describe their difference as ...
BT = MB·tan(16°)
BK = MB·tan(25°)
BK -BT = 35 = MB(tan(25°) -tan(16°))
Dividing by the coefficient of MB gives ...
MB = 35/(tan(25°) -tan(16°)) = 35/0.179562
MB = 195 . . . feet
Marcos is standing 195 feet from the base of the tree.
The box plots shown represent two data sets. Use the box plots to compare the data sets. Drag each value to show if it is the same for both data sets, different for each data set, or if there is not enough information to tell.
Box plots are used to illustrate the five-number summary of a dataset
The minimum values, the lower quartile and the median are the sameThe upper quartile and the interquartile range are differentHow to summarize the data on the box plotsThe five-number summary on a box plot are:
MinimumLower quartileMedianUpper quartileRangeFrom the box plots, we have the following highlights
The minimum values of both box plots are the sameThe lower quartile of both box plots are the sameThe median of both box plots are the sameThe upper quartile of both box plots are differentThe interquartile range of both box plots are differentRead more about boxplots at:
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I need help anyone plz?
Answer:
Step-by-step explanation:
all of them are correct
shopkeeper did 13 x (value of 1 bagel- $1.25) which is 16.25
Jada did (value of 6 bagels- $6)x2+ (value of 1 bagel- $1.25) which is 13.25
Priya did (valuse of 9 bagels- $8)+ (value of 1 bagel - $1.25)x4 which is 13
Han did (value of 12 bagels- $10)+ (value of 1 bagel) which is 11.25
Evaluate using cylindrical form, SNSdv where S is the solid enclosed by the right circular cylinder r = 2sin 0, the xy plane and the plane z = 4-y.
The value of SNS dv in cylindrical coordinates is (128/15)π.
How to evaluate the integral SNS dv using cylindrical coordinates?To evaluate the integral SNS dv using cylindrical coordinates, we need to express the solid S in terms of cylindrical coordinates.
The cylinder r = 2sin θ is defined in cylindrical coordinates by the equation r = 2sin θ and the plane z = 4-y can be rewritten in cylindrical coordinates as z = 4 - r sin θ.
Thus, the solid S can be described in cylindrical coordinates as:
0 ≤ θ ≤ 2π,
0 ≤ r ≤ 2sin θ,
0 ≤ z ≤ 4 - r sin θ.
Now we can express SNS dv in cylindrical coordinates as:
\(\int \int \int SNSdv = \int 0^2\pi \int 0^2sin \theta \int 0^(4-rsin\theta ) (r^2 sin^2 \theta) (z) dz dr d\theta\)
Simplifying this integral gives:
\(\int0^2\pi \int 0^2sin \theta [(r^3 sin^2 \theta) (4 - r sin \theta) / 3] dr d\theta\)
Integrating with respect to r gives:
\(\int 0^2\pi [2sin^4 \theta - (16/5) sin^5 \theta] d\theta\)
Evaluating this integral gives:
\(\int 0^2\pi [2sin^4\theta - (16/5) sin^5 \theta] d\theta = (128/15)\pi\)
Therefore, the value of SNS dv in cylindrical coordinates is (128/15)π.
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another one! please help ..
Answer:
n has to be negative
Step-by-step explanation:
To solve this equation, 15 has to be subtracted from 2 which is negative
Since n is positive then the overall result will be negative
geometry please help only if you know
1. Pick 1 or 2 Geometric Constructions to create (depending on point values) that add to 10 points.
2. You'll need paper (blank paper without lines is best, but you can do these on lined paper too), your compass, and straight edge.
3. Include any vocab for your construction.
4. Once you have completed the constructions, take a picture of your completed construction. This is how you will get your points this week!
By the way, this must be an actual construction made with your tools. I can definitely tell if you just try to draw something that looks right without using your tools!
Answer:
Bro just complete your project. That's just plagiarism.
Step-by-step explanation:
Sorry but the teacher WILL notice.
Please help!!!
Find the perimeter of a rectangular block of land 3p metres long and 4q metres wide.
Answer:
14
Step-by-step explanation:
2(l+b)
2(3+4)
2(7) now do multiply
answer 14m
Mike is 175 cm tall and george is 170 cm tall. using the model, how many centimeters longer would we
expect mike's arm span to be than george's?
(round your answer to the nearest thousandths - 3 decimals.)
Therefore, the answer to the provided equation is 27.385 cm longer than what we would anticipate Mike's arm span to be compared to George's.
Analyze the equation.An equation is referred to as linear when all of the highest powers of the variables are equal to one. They are connected via links. A one-degree equation is another term for this kind of issue. You will learn how to solve a linear equation expression in one or two variables by following the steps in the paragraphs that follow.
Here,
we must use the equation to determine how many millimeters more Mike should have than George.
y= 4.5x + 0.977 x
where y=arm length
where x = height
Given:
Mike is 175 cm tall, so x=x.
Mike's arm span is therefore y=4.5 x + 0.977 x.
= 4.5* (175) + 0.977* (175) (175)
= 787.5 + 170.975
= 958.475 cm
George is 170 cm tall, so x=x.
George's arm span is therefore y=4.5 x + 0.977 x.
= 4.5* (170) + 0.977* (170) (170)
= 765 + 166.09
= 931.09 cm
Mike's arm span is greater than George's arm span because Mike has a larger arm span.
= 958.475 - 931.09
= 27.385 cm.
Therefore, the answer to the provided equation is 27.385 cm longer than what we would anticipate Mike's arm span to be compared to George's.
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need help on this question !!!
Giving brainlist to whoever answers
Answer:
retangular prism
Step-by-step explanation:
1). A researcher randomly selects and interviews fifty male and fifty female teachers. i. systematicii. convenienceiii. randomiv. stratifiedv. cluster2). Solve the absolute-value inequality.|8−x|≥5
The researcher randomly selected and interviewed fifty male and fifty female teachers can be categorized as:
iii. random - The selection of teachers is done randomly, without any specific criteria or pattern.
To solve the absolute-value inequality |8 - x| ≥ 5, we can consider two cases:
Case 1: (8 - x) ≥ 5
To solve this inequality, we have:
8 - x ≥ 5
-x ≥ 5 - 8
-x ≥ -3 (multiplying by -1 and reversing the inequality)
x ≤ 3 (dividing by -1 and reversing the inequality)
Case 2: -(8 - x) ≥ 5
To solve this inequality, we have:
-8 + x ≥ 5
x ≥ 5 + 8
x ≥ 13
Combining the solutions from both cases, we have:
x ≤ 3 or x ≥ 13
So, the solution to the absolute-value inequality |8 - x| ≥ 5 is x ≤ 3 or x ≥ 13.
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Please give an explanation as well as an answer :)
Answer: It is 10 because there are 2 other faces and 8+2=10
Step-by-step explanation:
You are baking cookies for a bake sale. It takes 30 minutes to mix the cookie dough and 10.5 minutes to bake a sheet of cookies. The total time can be modeled by t(x) = 10.5x+30, where x is the number of sheets of cookies baked. a. Graph the function and identify its domain and range. b. Find and interpret the value of x so that t(x) = 114.
which of the following expression is equivalent to 7 y + 21 y(7+21) 7(y+21). 7(y+3. 21y+7
The expression given is;
\(\begin{gathered} 7y+21 \\ \text{The equivalent is;} \\ =7(y+3) \\ We\text{ use 7 to factor both sides of the expression, hence} \\ \frac{7y}{7}=y \\ \text{And} \\ \frac{21}{7}=3 \\ \text{Therefore, the answer is } \\ 7(y+3) \end{gathered}\)The correct answer is option C
Please help me only serious answers ☺️
Answer:
Parallelogram
Result
Area = b × h
= 5.5 × 11
= 60.5 feet260.5 cm²Find X (step by step)
Answer:
\(x = 8.75\)
Both the triangle are proportional to each other:
\(\dfrac{bigger-side}{bigger-base} = \dfrac{smaller-side}{smaller-base}\)
\(\hookrightarrow \dfrac{x+10}{15} = \dfrac{x}{7}\)
\(\hookrightarrow 7(x+10) =x(15)\)
\(\hookrightarrow 7x + 70 = 15x\)
\(\hookrightarrow 15x - 7x = 70\)
\(\hookrightarrow 8x = 70\)
\(\hookrightarrow x = 8.75\)
Step-by-step explanation:
using similarity and enlargement to evaluate.
hence the formula
=longer distance /smaller distance
x+10/x=15/7
the cross multiply
7(x+10)=15(x)
7x+70=15x
70=15x-7x
70=8x
hence we decide by 8 both sides
x=70/8
x=8.75
that's my suggestion.
Which of the following statements must be true about this diagram? Check
all that apply.
A. W> x
B. Z> x
C. x+y=z
□ D.y+z= w
□E. w>y
OF. x+y=w
Answer:
89
Step-by-step explanation:
Which expression is equivalent to 1/4 (4+9)? plssss help me I only have 20 minutes
Answer:
it is 3.2.5
Step-by-step explanation:
yw
DIRECTIONS: Use this diagram to answer Parts A and B. 60° 55° Part A Find the value of x in the diagram.
By using the properties of triangles and straight lines we get the values of x as 65° and the value of y as 115°
A) In the given triangles we know that the sum of all the angles is 180 .
Hence :
60 + 55 + c = 180
or, c = 180° - 115°
or, c = 65°
Now the angle marked x is vertical angle to the angle c , hence the value of x is also 65°.
B) Now we know that the value of x is 65°
Again x + y = 180°
Therefore : 65° + y = 180° or, y = 180° - 65° or, y = 115°
Three vertices, three sides, and three angles make up a closed triangle. PQR serves as the symbol for a triangle with the vertices P, Q, and R.
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Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?
A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.
To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.
Looking at the histograms described:
The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.
The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.
The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.
The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.
Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.
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What is the answer to that
Answer:
(1/3)x + 3 >= 3
<=> (1/3)x >= 0
<=> x >= 0
=> The only value from set satisfies, that is 0.
Hope this helps!
:)
Answer:
0
Step-by-step explanation:
⅓x + 3 》3
⅓x 》0
x 》0
Angle a and b are complementary angle a measure 10x +10 and angle b measure 20 find the value of c
The measure of angle c is 70 degrees.
If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.
Given:
Measure of angle a = 10x + 10
Measure of angle b = 20
We can set up the equation:
(10x + 10) + 20 = 90
Simplifying the equation:
10x + 30 = 90
Subtracting 30 from both sides:
10x = 60
Dividing both sides by 10:
x = 6
Now, we have found the value of x to be 6.
To find the measure of angle c, we can substitute the value of x into the equation for angle a:
Measure of angle a = 10x + 10
Measure of angle a = 10(6) + 10
Measure of angle a = 60 + 10
Measure of angle a = 70
As a result, angle c has a measure of 70 degrees.
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The equation of line line a gis y = (startfraction b over a c endfraction)x. the midpoint of bc is (a c, b). does the midpoint of bc lie on line a g? why or why not? no, because (startfraction b over a c endfraction)b does not equal a c no, because (startfraction b over a c endfraction)(a c) does not equal b yes, because (startfraction b over a c endfraction)b = a c yes, because (startfraction b over a c endfraction)(a c) = b
yes, because the midpoints (a+c) = b
Given that the line's equation is y=x.
B and C are the two points on this line.
( a+ c, b) is the midpoint of B and C.
We can see from this that using the midpoint formula
a + c = \(\frac{x1+x2}{2}\)
b=\(\frac{y1+y2}{2}\)
Because both points are on y=x, we get
x1=y1, x2=y2.
As a result, x1 = a+c and 2y1 = 2b or y1 =b.
Because x1=y1, we have a+c =b.
In other words, the coordinates of the midpoint satisfy the equation y=x.
Thus, the answer is
because (a+c) = b
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what is the volume of the box
Answer: L•W•H
Step-by-step explanation:
L=length W=width H=height •= times(multiply)
Determine the best method to solve the system of equation.
Then solve the system.
5x + 3y = 16
3x - 5y = -4
Answer:
(x, y) =(2,2)
Step-by-step explanation:
5x+3y=16 /*5
3x-5y=-4 /*3
25x+15y=80 (1)
9x-15y=-12 (2)
(1)+(2): 34x=68
9x-15y=-12
x=68/34
9x-15y=-12
x=2
9*2-15y=-12
x=2
18-15y=-12
x=2
-15y=-12-18
x=2
-15y=-30
x=2
y=-30/(-15)
x=2
y=2
(x,y)=(2,2)
Answer:
x, y) =(2,2)
Step-by-step explanation:
5x+3y=16 /*5
3x-5y=-4 /*3
25x+15y=80 (1)
9x-15y=-12 (2)
(1)+(2): 34x=68
9x-15y=-12
x=68/34
9x-15y=-12
x=2
9*2-15y=-12
x=2
18-15y=-12
x=2
-15y=-12-18
x=2
-15y=-30
x=2
y=-30/(-15)
x=2
y=2
(x,y)=(2,2)
x + 2x + 3x = 6 . Find x
Answer:
1
Step-by-step explanation:
x + 2x + 3x = 6
Add the like terms,
6x = 6
=> x = 6/6
=> x = 1
Step-by-step explanation:
x+2x+3x=6
x+5x=6
6x=6
x=6÷6
x=1
What are two numbers that multiply to -60 and add to -7
The two numbers that multiply to -60 and add up to -7 are:
\(-12,5\)
We can multiply -12 by 5 and get -60:
\(-12\times5=-60\)
We can also add -12 and 5 to get -7:
\(-12+5=-7\)
So therefore, the two numbers that multiply to -60 and add to -7 are:
\(\fbox{-12 and 5}\)