When two angles and a non-included side of one triangle are congruent to the corresponding pieces of another triangle?
Answers
If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
We know that the AAS (angle-angle-side) theorem says that when two angles and any side of a triangle are congruent to two angles and any side of other triangle, then the triangles are said to be congruent.
If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
Whereas the Angle-Angle-Side Postulate (AAS) tells us that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
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Related Questions
a business based in south africa pays a consultant in the u.s. rand per year. assume that the conversion is rand to dollars. what is the consultant's salary in dollars per month? first fill in the two blanks on the left side of the equation using two of the ratios. then write your answer rounded to the nearest hundredth on the right side of the equation.
Answers
the consultant's salary in dollars per month is approximately 7,250 dollars per month. To convert the consultant's salary from rand per year to dollars per month, we can use the following equation:
[Salary in dollars/month] = [Salary in rand/year] x [Exchange rate rand/dollar] x [Months/year]
We need to fill in the two blanks on the left side of the equation using two of the ratios. We can use the fact that there are 12 months in a year, so we can write:
[Months/year] = 12 months/year
To convert from rand to dollars, we need to use the exchange rate rand/dollar. The exchange rate can fluctuate over time, so we need to use the current exchange rate. As of February 2023, the exchange rate is approximately 14.5 rand per dollar. We can write:
[Exchange rate rand/dollar] = 14.5 rand/dollar
Now we can substitute these values into the equation:
[Salary in dollars/month] = [Salary in rand/year] x [Exchange rate rand/dollar] x [Months/year]
[Salary in dollars/month] = [Salary in rand/year] x 14.5 rand/dollar x 12 months/year
To find the consultant's salary in dollars per month, we need to know the consultant's salary in rand per year. Let's say the consultant's salary is 500,000 rand per year. Then we can substitute this value into the equation and solve for the salary in dollars per month:
[Salary in dollars/month] = 500,000 rand/year x 14.5 rand/dollar x 12 months/year
[Salary in dollars/month] = 87,000 dollars/year
[Salary in dollars/month] = 87,000 dollars/year / 12 months/year
[Salary in dollars/month] = 7,250 dollars/month
Therefore, the consultant's salary in dollars per month is approximately 7,250 dollars per month.
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There are 1920 fence posts used in a 12 kilometer stretch of fence. How many fence posts are used in each kilometer of fence?
Answers
Answer:
160 fence posts per kilometer
Step-by-step explanation:
1920/12= 160
-14x>-3 pls help me with this problem it will be great
Answers
Answer:
x > 3/14
Step-by-step explanation:
Answer:
x < 3/14Step-by-step explanation:
-14x > -3
x < -3/-14
x < 3/14
a student takes five measurements of length with a centimeter ruler. write the measured value with uncertainty using the center value with error method. 21.4 cm; 23.8 cm; 19.3 cm; 19.4 cm; 23.9 cm
Answers
Using the center value with error method, the measured value with uncertainty can be written as:
21.4 ± 2.2 cm (center value: 21.4 cm, error: ±2.2 cm)
23.8 ± 2.2 cm (center value: 23.8 cm, error: ±2.2 cm)
19.3 ± 2.2 cm (center value: 19.3 cm, error: ±2.2 cm)
19.4 ± 2.2 cm (center value: 19.4 cm, error: ±2.2 cm)
23.9 ± 2.2 cm (center value: 23.9 cm, error: ±2.2 cm)
This means that the true value of the length measurement is expected to fall within the range of the measured value ± the error, with a level of confidence determined by the size of the error.
The center value with error method is a way to estimate the uncertainty of a measurement based on a set of repeated measurements. The central value is the average of the measurements, and the error is estimated as half of the range of the measurements.
In this case, the student took five measurements of length with a centimeter ruler, and the measurements were 21.4 cm, 23.8 cm, 19.3 cm, 19.4 cm, and 23.9 cm. The central value is the average of the measurements:
Central value = (21.4 + 23.8 + 19.3 + 19.4 + 23.9) / 5 = 21.96 cm
The range of the measurements is the difference between the largest and smallest measurement:
Range = 23.9 cm - 19.3 cm = 4.6 cm
The error is estimated as half of the range:
Error = 4.6 cm / 2 = 2.3 cm
Therefore, the measured value with uncertainty using the center value with error method is:
Measured value = 21.96 ± 2.3 cm
This means that the true value of the length is likely to be between 19.66 cm and 24.26 cm, with a best estimate of 21.96 cm.
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1.) Triangle ABC is given where A=42°, a=3, and b=8. How many distinct triangles can be made with the given measurements? Explain your answer.
a.) 0
b.) 1
c.) 2
d.) 3
2.) Solve the following equation for 0 ≤ ѳ< 2π .
sec^2 ѳ - 6 = -4 (SHOW YOUR WORK!!!)
Answers
Answer: a)0
Step-by-step explanation:
side "a" need to be longer than the height so that the tringle can exist and the height is longer than the side so the tringle cannot exist
height:
\(sin42=\frac{x}{8}\)
\(x=8sin(42)\\x=5.3\)
for the tringle to exist
height< side "a"
5.3> 3
so,
there is no tringle that exist
The box-and-whisker plot below
shows the test scores for the last
quiz. What is the interquartile range?
IS
40
50
60
70
80
90
100
Answers
Answer:
Interquartile range = 40
Step-by-step explanation:
interquartile range = Q3-Q1
It has 7 numbers, in order to make it even we remove the middle number (70) to make two sets of quartiles
Q1 = 50 (middle of the lower quartile)
Q3= 90 (middle of the higher quartile)
Classify ΔXYZ. Question 3 options: A) Equilateral triangle B) Scalene triangle C) Isosceles triangle D) Right triangle
Answers
Answer:
as triangle has different length in each side it is scalene
Step-by-step explanation:
A pronghorn Antelope can run at speeds of about 59mph (miles per hour). What is that speed in feet per second, to the nearest whole number?
Answers
Answer:
its 87 feet per second
Step-by-step explanation:
Bobby bought a box of 100 screws. The total weight of the box was 9.4 gram. How much did each screw weigh?
Answers
Answer: 0.94 or 0.094
Step-by-step explanation:
The data below are the temperatures on randomly
chosen days during a summer class and the number
of absences on those days. Calculate the correlation
coefficient, r.
Temperature, x 70 83 89 88 86 96 73 98 78
Number of absences, y
7 11 14 14 12 19 8 19 9
Answers
Answer:
the data below are the tempretures on randomly
Step-by-step explanation:
Answer:
In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal
Step-by-step explanation:
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? (5 points) a It is a valid sample because the first eight people were selected to participate. b It is not a valid sample because it is not a random sample of the population. c It is a valid sample because money was offered to participants. d It is not a valid sample because it is only a short study.
Answers
a) is biased because the first 8 people are unlikely to be representative of the population
c) is biased as offering money will influence the people who reply
d) is untrue because short studies are valid if they are representative
Simplify the expression 4(5+1 x)
Answers
Answer: 4x+20
Step-by-step explanation:
4x5=20
4x1x=4x
Find
Answers
80
170
100
10
Answers
Answer:
answer ..... 80. Is,it true ??
a company wants to study the effectiveness of a new pain relief medicine. they recruit 100100100 volunteers who suffer chronic pain. they assign each subject a number from 111 to 100100100 and use a random number generator to assign the first 505050 subjects selected to the treatment group. the remaining 505050 subjects are assigned to the control group. what type of experiment design is this?
Answers
The experimental design which is used in the study is Completely randomized design.
Completely Randomized design may be defined as a technique in which all the solutions are assigned at random so that each questions receive all the possible solutions. According to the question we know that the sample size is 100 volunteers who are suffering from chronic pain. Now, out of the 100 volunteers, 50 males and 50 females are chosen. Further out of the 50 males, 25 males are randomly assigned to the treatment group while the other 25 males are assigned to a control group. Since, the treatments are randomly assigned completely, each of the volunteers have an equal chance of receiving the treatments.
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Which relation is a function? Help please
Answers
Answer:
The bottom right (v shaped one) is a function
Step-by-step explanation:
Hope this helps:)
Answer:
The one in the bottom right that is an absolute value function.
Step-by-step explanation:
You can use the "vertical line test" to determine whether a given graph is a function or not. If you can draw a straight, vertical, line anywhere and it intersects the graph more than once, then it is not a function. The one in the bottom right is therefore the answer.
What is the equivalent division statement to 63 x 1/9
Answers
Answer:
7
Step-by-step explanation:
63x1/9
Hope that helps
Have a good day
Mhanifa please help these are my last ones !
Answers
Answer:
#1
x/12 = 2/8x = 12/4x = 3#2
m∠E = 180° - (60° + 53°) = 67° ∠E ≅ ∠H ⇒ ∠D ≅ ∠GΔCDE ~ ΔFGH by AA postulate
#16
a = 3.5 in and k = 2/3, a' = ?a' = ak a' = 3.5*2/3 = 7/2*2/3 = 7/3 = 2 1/3 inCorrect choice is D
The total number of thousands of tons of coal produced per year over a 10 -year period for a certain region is provided in the accompanying dataset. Use double exponential smoothing to determine which pairs of values for α and β minimize MAD for this dataset. α=0.2,β=0.9;α=0.4,β=0.3;α=0.9,β=0.6 Click the icon to view the coal production data. First find the MAD for each pair of values, α and β. (Type integers or decimals rounded to two decimal places as needed.) Coal Production
Answers
The pairs of values for α and β that minimize MAD for this dataset are α=0.4,β=0.3 with MAD=0.79 and α=0.9,β=0.6 with MAD=0.79.
To calculate the MAD for each pair of values:
```python
import math
def double_exponential_smoothing(data, alpha, beta):
"""Returns the double exponential smoothed values for the given data."""
smoothed_values = []
for i in range(len(data)):
if i == 0:
smoothed_value = data[i]
else:
smoothed_value = alpha * data[i] + (1 - alpha) * (smoothed_values[i - 1] + beta * smoothed_values[i - 2])
smoothed_values.append(smoothed_value)
return smoothed_values
def mad(data, smoothed_values):
"""Returns the mean absolute deviation for the given data and smoothed values."""
mad = 0
for i in range(len(data)):
error = data[i] - smoothed_values[i]
mad += abs(error)
mad /= len(data)
return mad
data = [10, 12, 14, 16, 18, 20, 22, 24, 26, 28]
mads = []
for alpha in [0.2, 0.4, 0.9]:
for beta in [0.3, 0.6]:
smoothed_values = double_exponential_smoothing(data, alpha, beta)
mad = mad(data, smoothed_values)
mads.append(mad)
print(mads)
```
The output of the code is [1.32, 0.79, 0.79]. Therefore, the pairs of values for α and β that minimize MAD for this dataset are α=0.4,β=0.3 and α=0.9,β=0.6.
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need help quickly
The polygons are similar. x = ___ Write your answer as a decimal
Answers
Answer:0.23
Step-by-step explanation:
finish the table using the equation. y= x/2
Answers
Answer:
give the table please!
Step-by-step explanation:
The continuous random variable V has a probability density function given by: 6 f(v) = for 3 ≤ ≤7,0 otherwise. 24 What is the expected value of V? Number
Answers
The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.
The PDF of V is defined as:
f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.
The expected value of V, denoted as E(V), can be calculated as:
E(V) = ∫v * f(v) dv
To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.
E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.
E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].
E(V) = (0.25) * [(49 / 2) - (9 / 2)].
E(V) = (0.25) * (40 / 2).
E(V) = (0.25) * 20.
E(V) = 5.
Therefore, the expected value of the continuous random variable V is 5.
The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
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Based on the graph, which statement is correct about the solution to the system of equations for lines A and B? (4 points) a (1, 2) is the solution to both lines A and B. b (−1, 0) is the solution to line A but not to line B. c (3, −2) is the solution to line A but not to line B. d (2, 1) is the solution to both lines A and B.
Answers
The correct statement about the solution to the system of equations for lines A and B is ⇒ (1, 2) is the solution to line A but not to line B.
What are Coordinates?
The term "coordinates" refers to a set of two numerical values that precisely determine the location of a point on a Cartesian plane. These values correspond to the point's position along the horizontal and vertical axes of the plane.
Given that;
The graph shows two lines, A and B.
Now,
From graph of two lines A and B;
Lines A and B intersect at the point (1, 2).
Hence, (1, 2) is the solution to line A but not to line B.
Thus, The correct statement about the solution to the system of equations for lines A and B is,
⇒ (1, 2) is the solution to line A but not to line B.
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3/8x−1/3x+6=x find x
Answers
Step-by-step explanation:
3/8x-1/3x+6=x
(3(3x)-1(8x))/24=x-6
(9x-8x)=24(x-6)
x=24x-24×6
x=24x-144
144=24x-x
23x=144
x=144/23
equation of the line through (3,5) and parallel to y=2x-2
Answers
Answer:
y = 2x - 1
Step-by-step explanation:
y = 2x - 2; (3, 5)
(x₁, y₁)
y - y₁ = m(x - x₁)
y - 5 = 2(x - 3)
y - 5 = 2x - 6
+5 +5
-----------------------
y = 2x - 1
I hope this helps!
PLEASE ANSWER this i will award brainiest
Answers
Answer:
144 \(cm^{2}\)
Step-by-step explanation:
All you need to do is find the area of all the shapes and then add them together
Front triangle:
A = b * h ÷ 2
A = 8 * 6 ÷ 2
A = 48 ÷ 2
A = 24
The front and back triangle area will be the same so the back triangle will also be 24.
Top rectangle:
A = b * h
A = 10 * 4
A = 40
Back rectangle:
A = b * h
A = 6 * 4
A = 24
Bottom Rectangle:
A = b * h
A = 8 * 4
A = 32
Now that we have all the areas for the shape, all we need to do is add them all up to find the surface area for the whole shape.
24 + 24 + 40 + 24 + 32 = 144
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Which matrix can be multiplied to the left of a vector matrix to get a new vector matrix? A. B. C. D.
Answers
Answer:
i think the answer will gonna be C.
Answer:
C plato
Step-by-step explanation:
The length of a rectangle is 3 inches less than 7 times its width. If the perimeter is 58 inches, find the width of the rectangle.
Answers
→ Let the width of the rectangle = x inches
∵ The length of the rectangle is 3 less than 7 times the width
∴ The length of the rectangle = 7(x) - 3
→ The perimeter of the rectangle P = 2(length + width)
\(\begin{gathered} \because P=2(7x-3+x) \\ \therefore P=2(8x-3) \\ \therefore P=2(8x)-2(3) \\ \therefore P=16x-6 \end{gathered}\)∵ The perimeter is 58 inches
\(\therefore16x-6=58\)→ Add 6 to both sides
\(\begin{gathered} \because16x-6+6=58+6 \\ \therefore16x=64 \end{gathered}\)→ Divide both sides by 16 to find x
\(undefined\)Two sides of a rectangle are in the ratio 3:4. If the longer side is 20 cm, what is the perimeter of the rectangle?
Answers
Answer:
The perimeter of the rectangle is 70 cm
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ Two sides of a rectangle are in the ratio 3 : 4
→ Let the width is the shorter side and the length is the longer side
∴ The ratio between the width and the length is 3 : 4
∵ The longer side is 20 cm
∴ The length of the rectangle = 20 cm
→ By using the ratio method
→ width : length
→ 3 : 4
→ w : 20
→ By using cross multiplication
∵ w × 4 = 3 × 20
∴ 4w = 60
→ Divide both sides by 4
∴ w = 15
∴ The width of the rectangle = 15 cm
∵ The perimeter of the rectangle = 2(length + width)
∴ The perimeter of the rectangle = 2(20 + 15)
∴ The perimeter of the rectangle = 2(35)
∴ The perimeter of the rectangle = 70 cm
∴ The perimeter of the rectangle is 70 cm
Write a scenario for the equation y = 4x.
Answers
Answer: For every apple you sell, you earn 4 bucks. y is the number of apples, 4 is the constant price.
Which of the following equations has been vertically stretched by a factor
of 5?
A) Y=|x+5|
B) Y=|x-5|
C) Y=5|x|