The definition of SSS, SAS, and AAS congruency conditions is shown.
SSS condition:
In accordance with the SSS rule, two triangles are considered to be congruent if their corresponding three sides are equal on both triangles.
SAS condition:
The two triangles are congruent if two sides and the included angle of one triangle match those of a second triangle by two sides and the included angle.
AAS condition:
The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
Therefore, the definition of SSS, SAS, and AAS congruency conditions is shown.
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how might a living thing in the area you just visited get what it needs to survive from its surroundings?
PLEASE HELP ASAP GOD BLESS YOU If YOU HELP ME IT WILL RAISE MY GRADE
Answer:
Hi i think its option 3 maybe just wait until someone else helps but i say option 3 but gl anyways
Step-by-step explanation:
a company has three corporate offices and wishes to determine if there is a difference in the average age of the corporate executives at the three locations. the ages were recorded for the five top executives at each location. the appropriate test statistic is the test and the degrees of freedom for this problem are
The appropriate statistic test should be ANOVA and The degree of freedom is 12.
What are Statistical tests?
An instrument for making quantitative judgments about a process or processes is a statistical test. The goal is to decide whether there is sufficient data to "reject" a theory or hypothesis on the process.
In the given problem the average age of the corporate executives at the three locations is being calculated, it means more than two groups are being compared. hence, The appropriate statistic test would be ANOVA.
In order to calculate the degree of freedom, we must know the no. of observations.
here, no. of observations are 15 ( 3 × 5 ) and the no. of groups are 3.
∴ Degree of freedom = no. of observations - no. of groups
= 15 - 3 = 12.
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Combine the radicals 4√7+3√28.
O 10√7
O
4√7
0 -2√7
10√14
Answer:
10sqrt(7)
Step-by-step explanation:
\(4 \sqrt{7} + 3 \sqrt{28} \\ \\ 4 \sqrt{7} + 3(2 \sqrt{7} ) \\ \\ 4 \sqrt{7} + 6 \sqrt{7} = 10 \sqrt{7} \)
Consider the following statements about variance investigation: 1. The absolute size of a vaniance is more important than the relative size when trying to decide what viriances to irvestignte II. Variance investigation invotves a look at enly unfavorable variances. III Variance investigation is typically based on a cost-benefit analysis. Which of the above statements is (are) true? I only. II and III. III only. If only. 1, II, and III:
The correct answer is: III only. Variance investigation is typically based on a cost-benefit analysis.
Statement I is incorrect because the relative size of a variance, in comparison to other variances, can be important in understanding its significance.
Statement II is incorrect because variance investigation does not focus solely on unfavorable variances. Both favorable and unfavorable variances are considered during the investigation.
Statement III is true. Variance investigation is typically based on a cost-benefit analysis, where the potential benefits of investigating and addressing variances are weighed against the associated costs.
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Using Trig to find a side.
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 9.0
Step-by-step explanation:
sin E = CD/EC = CD/x
<=> sin 50 = 6.9/x <=> x = 6.9/sin 50 ≅ 9.0
PLEASE HELP GIVING POINTs :))!!
Answer:
C (1, - 4)
Answer is C.
A (4, - 1)
Answer could be A as well.
Not sure.
In A ABC, mZA = 3x + 1; mZB = 4x - 17, andmZC = 5x – 20. Which type of triangle is AABC?1) right2) scalene3) isosceles4) equilateral
We can calculate the values of the angles given that the sum of the interior angles is equal to 180 degrees:
\(\begin{gathered} mA+mB+mC=180 \\ (3x+1)+(4x-17)+(5x-20)=180 \\ 12x-36=180 \\ 12(x-3)=180 \\ x-3=\frac{180}{12} \\ x-3=15 \\ x=15+3 \\ x=18 \end{gathered}\)With the value of x, we can calculate the value of each of the angles:
\(\begin{gathered} mA=3\cdot18+1=54+1=55 \\ mB=4\cdot18-17=72-17=55 \\ mC=5\cdot18-20=90-20=70 \end{gathered}\)As we have 2 equal angles, we can think of the triangle as having a axis of symmetry, bisecting the angle that has a unique value (mC=70 deg).
Then, as we have an axis of symmetry, two of the sides of the triangle are equal.
Then, the triangle is isosceles (Option 3).
If you don’t know the answer pls don’t reply but if you do please tell me thank you.
Answer:
the answer will be B or C hope that helps
Step-by-step explanation:
the answer will be B or C hope that helps
Answer:
A) 12
Step-by-step explanation:
3/2=x/8
cross multiply
2x=24
x=12
In ΔEFG, g = 5. 6 cm, f = 3. 9 cm and ∠F=156°. Find all possible values of ∠G, to the nearest 10th of a degree. If no triangle exists, put NA in the box
cos ∠G = (0.3420) sin ∠G + (15.21 - 19.44 cos (180° - ∠F - ∠G)) / 28.475. Since the sum of the angles in a triangle is 180°, we can find the measure of ∠E by subtracting ∠F and ∠G from 180°:
∠E = 180° - ∠F - ∠G
We can then use the Law of Cosines to solve for the length of side e:
e² = f² + g² - 2fg cos ∠E
e² = (3.9)² + (5.6)² - 2(3.9)(5.6)cos ∠E
Next, we can use the Law of Cosines again to solve for the cosine of ∠G:
g² = f² + e² - 2fe cos ∠G
cos ∠G = (f² + e² - g²) / 2fe
cos ∠G = (3.9² + e² - 5.6²) / (2 × 3.9 × e)
cos ∠G = (15.21 + e² - 31.36) / (7.8e)
cos ∠G = (e² - 16.15) / (3.9e)
Now we can substitute the expression for ∠E into the equation, and then use that result to solve for cos ∠G:
e² = (3.9)² + (5.6)² - 2(3.9)(5.6)cos (180° - ∠F - ∠G)
e² = (3.9)² + (5.6)² + 2(3.9)(5.6)cos (∠F + ∠G)
cos (∠F + ∠G) = (e² - 3.9² - 5.6²) / (2 × 3.9 × 5.6)
cos (∠F + ∠G) = (e² - 50.65) / 30.24
Now we can use the identity for the cosine of a sum to solve for cos ∠G:
cos (∠F + ∠G) = cos ∠F cos ∠G - sin ∠F sin ∠G
cos 156° cos ∠G - sin 156° sin ∠G = (e² - 50.65) / 30.24
(0.9397) cos ∠G - (0.3420) sin ∠G = (e² - 50.65) / 30.24
Solving for cos ∠G, we get:
cos ∠G = (0.3420) sin ∠G + (e² - 50.65) / (30.24 × 0.9397)
Substituting the expression for e² from the earlier step, we get:
cos ∠G = (0.3420) sin ∠G + (3.9² + (5.6² - 2(3.9)(5.6) cos (180° - ∠F - ∠G)) - 50.65) / (30.24 × 0.9397)
cos ∠G = (0.3420) sin ∠G + (15.21 - 19.44 cos (180° - ∠F - ∠G)) / 28.475
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Congratulations! You won a free grill in sweepstakes! You know that you can fit a rectangular grill in your truck that has a width of 212 feet. The length of the grill can be up to three times the width. What is the largest possible perimeter your new grill can have to fit in your taco truck? Show your work.
Answer:
by5b5ybyb54
Step-by-step explanation:
yb5ybyby
If f(x) =2x+4 and g(x)=1-x, then which of the following represents y=f(x)+g(x)?
Answer:
y = x +5
Step-by-step explanation:
2x +4 + 1-x = x +5
hope this helps
Plzz answer and thanks
Answer:
Erosion
Step-by-step explanation:
Erosion is the movement of sediment from one place to another. Erosion is the mechanical process of wearing or grinding somethin down. It condition in which the earth’s surface is worn away by the action of water and wind.
Therefore, the answer is erosion.
If this helps please mark as brainliest
How many lines of symmetry does an rectangle have
Answer:
It has 2 i hope it's correct :)
jan has 60 dollars she brought 2 bracelets that cost 9 dollars and 5 rings cost 5 dollars how much money does she have now
YALL REMEMBER PRODIGY AND ROOTBEER FLOATS OMGGGGG
Answer:
omg the last time i played that was in 3rd grade!!!!
Step-by-step explanation:
If the mpc increases in value, what will happen to the slope of the consumption function?
If the mpc increases in value, the consumption function will become steeper.
What is MPC ?
MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.
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In ΔWXY, y = 7.8 cm, ∠W=26° and ∠X=76°. Find the length of w, to the nearest 10th of a centimeter.
Answer:
1
Step-by-step explanation:
The length of w is 7.863 cm.
What is Trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
As, per the Sine law
a/ sin A = b / sin B
So, 7.8 / sin 78 = w / sin 76
7.8 / 0.9702 = w / 0.9781
8.0395 = w / 0.9781
w = 7.863 cm
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Identity each pair of angles as complementary, supplementary, or neither.
Answer:
Neither
Supplementary
Supplementary
Step-by-step explanation:
1) 90 + 43 = 133
Since this value does not equate to 90 or 180. The answer is Neither
2) 61 + 119 = 180
Since the answer equates to 180. The answer is Supplementary
3) 90 + 90 = 180
Since the answer equates to 180. The answer is Supplementary
A survey was given to a random sample of 1950 residents of a town to determine whether they support a new plan to raise taxes in order to increase
Education spending. Of those surveyed, 663 respondents said they were in favor
of the plan. Determine a 95% confidence interval for the proportion of
People who favor the tax plan, rounding values to the nearest thousandth.
The 95% confidence that the true proportion of people who favor the tax plan in the town is between 0.314 and 0.366.
Confidence interval calculation.A confidence interval is a statistical range of values that is likely to contain an unknown population parameter with a specified level of confidence. In other words, it is a measure of the uncertainty surrounding an estimate of a population parameter, such as the mean or the proportion.
To calculate a confidence interval for the proportion of people who favor the tax plan, we can use the following formula:
CI = p ± zsqrt(p(1-p)/n)
where CI is the confidence interval, p is the sample proportion (i.e., the proportion of respondents in favor of the tax plan), z is the z-score associated with the desired confidence level (in this case, 95%), and n is the sample size.
First, we need to calculate the sample proportion:
p = 663/1950
p ≈ 0.340
Next, we need to find the z-score associated with a 95% confidence level. We can use a standard normal distribution table or calculator to find that the z-score for a 95% confidence level is approximately 1.96.
Now we can plug in the values and calculate the confidence interval:
CI = 0.340 ± 1.96sqrt(0.340(1-0.340)/1950)
CI ≈ 0.314 to 0.366
Therefore, we can say with 95% confidence that the true proportion of people who favor the tax plan in the town is between 0.314 and 0.366.
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Five male German Shepherds were chosen and measured. Their heights were the following: 24, 25, 23, 24, 24
What is the mean absolute deviation for the heights of the German Shepherds?
Your answer:
0
.4
2
0
6
a marble is selected from a bag containing eight marbles numbered to . the number on the marble selected will be recorded as the outcome. consider the following events. event : the marble selected has a number less than . event : the marble selected has an even number. give the outcomes for each of the following events. if there is more than one element in the set, separate them with commas.
Event A and B = 4
Event A or B = 2, 3, 4, 5, 6, 8
Complement of Event B = 1, 2, 7, 8
Event A: The marble selected has an even number.
The even numbers from 1 to 8 are 2, 4, 6, and 8. Therefore, the outcomes for Event A are: 2, 4, 6, 8.
Event B: The marble selected has a number from 3 to 6.
The numbers from 3 to 6 are 3, 4, 5, and 6. Therefore, the outcomes for Event B are: 3, 4, 5, 6.
Event A and B:
The outcomes that satisfy both Event A and Event B are the numbers that are both even and from 3 to 6. In this case, the only number that satisfies both conditions is 4.
Therefore, the outcome for Event A and B is: 4.
Event A or B:
The outcomes for Event A or Event B are the numbers that satisfy either Event A or Event B or both.
Combining the outcomes from Event A and Event B, we have: 2, 3, 4, 5, 6, 8.
Complement of Event B:
The complement of an event includes all the outcomes that are not part of the event.
In this case, the complement of Event B includes the numbers that are not from 3 to 6.
Therefore, the outcomes for the complement of Event B are: 1, 2, 7, 8.
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Complete question
A marble is selected from a bag containing eight marbles numbered 1 to 8.
The number on the marble selected will be recorded as the outcome.
Consider the following events.
Event A: The marble selected has an even number.
Event B: The marble selected has a number from 3 to 6.
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.
Event A and B =
Event A or B =
Complement of the event B=
If the same condition is described as both acute and chronic and separate subentries exist in the icd-10-cm alphabetic index at the same indentation level.a. Trueb. False
If the same condition is described as both acute and chronic and separate subentries exist in the icd-10-cm alphabetic index at the same indentation level is True
What is alphabetical index?
An alphabetical index, often known as an index, is a list of words or phrases that appear frequently in a text and which, if listed alphabetically, may assist readers in finding information more quickly.
What is indentation level ?
The much-despised formatting method of indentation gives readers a sense of continuity.
Reasons:
The Alphabetic Index's sub term entries and the Tabular List's inclusion and exclusion notes can both be used to find combination codes.
Only use the combination code when it accurately describes the diagnostic conditions in question or when the Alphabetic Index instructs you to. When the categorization offers a combination code that unambiguously identifies all of the components listed in the diagnosis, multiple coding shouldn't be employed. An additional code should be utilised as a secondary code when the combination code does not provide the requisite specificity in characterising the symptom or problem.
The statement is True
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what is the value of y ?
A. 30
B. 50
C. 60
D. 40
How do you simplify complex fraction expressions?
To simplify a complex fraction expression, first identify the numerator and denominator of each fraction.
What is complex fraction?A complex fraction is a fraction that contains one or more fractions in the numerator, denominator, or both. This type of fraction requires additional steps to simplify and can often be reduced to a simpler fraction or a whole number. Complex fractions are also known as compound fractions or nested fractions.
Then, factor each fraction into its simplest form by dividing each numerator and denominator by their greatest common factor. Finally, combine the fractions by multiplying the numerators and denominators. This will result in a simplified expression.
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A watt is the basic unit measurement of electrical power. Suppose you are running the air conditioner, the washing machine, the clothing dryer, two computers, four light bulbs, the refrigerator, and two televisions Use the chart at the right and calculate how much wattage you might need in this situation. Show your k = write an inequality that shows what the available wattage must be greater than
Considerations based on the wattage of the available appliances are required when designing for the electricity.
The required wattage inequality is; Available wattage > 10,460 WattsReasons:
The items used and the possible power consumption obtained from a similar are as follows;
Appliance \({}\) Average power (Watts)
One air conditioner; \({}\) 3,500
Washing machine; \({}\) 500
Clothing dryer; \({}\) 5,000
Computers × 2; \({}\) 70 × 2 = 140
Light bulbs × 4; \({}\) 60 × 4 = 240
Refrigerator; \({}\) 600
Television × 2; \({}\) 240 × 2 = 480
The power, P, in watts that might be needed is found as follows;
Power, P = 3,500 + 500 + 5,000 + 140 + 240 + 600 + 480 = 10,460
The electric power in watts that might be needed, P = 10,460 Watts
Therefore;
The available wattage must be greater than 10,460 Watts
The inequality is; Available wattage > 10,460 Watts
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which of the following is equivalent to 2cos^2(x) - cos(2x)? A. sin(2x) B. Sin^2(x) C. 1 D. 2
Answer:
C. 1
Step-by-step explanation:
2cos²(x) - cos(2x) = 1
Answer:
C
Step-by-step explanation:
Using the identity
cos2x = 2cos²x - 1 , then
2cos²x = cos2x + 1
Given
2cos²x - cos2x
= cos2x + 1 - cos2x
= 1 → C
3. If there are 104 ounces in 2 quarts, how many quarts are there in 260 ounces?
A. 5
B. 2.5
C. 26
D. 1300
A flower-delivery service charges $39.95 per flower arrangement and $2.99 for delivery. The total cost y is represented by the function y=39.95x+2.99 , where x is the number of flower arrangements.
Which of the following sets of numbers would be appropriate input values for the given situation? Select all that apply.
A) Integer
B) Only Zero
C) Whole Number
D) Rational Number
E) Positive Integer
F) Negative Number
hugo is a veterinarian. he knows the following information about his 41 4141 patrons: 20 2020 patrons in total do not have a dog. 17 1717 patrons in total have a cat. 7 77 patrons have neither a dog nor a cat. can you help hugo organize the results into a two-way frequency table?
Attached is a two-way frequency table, to help Hugo organize the results.
A two-way frequency table is a table used to organize and display the relationship between two categorical variables. It is constructed by counting the number of occurrences of each combination of categories and presenting the results in a table format.
To create a two-way frequency table, follow these steps:1. Identify the categorical variables and list their possible categories.
cat, no cat, dog, no dog
2. Count the number of observations for each combination of categories.
cat = 17
no dog = 20
no cat no dog = 7
3. Organize the counts in a table with the categories of one variable as rows and the categories of the other variable as columns.
| dog | no dog | total
cat | | | 17 |
no cat | | 7 | |
total | | 20 | 41 |
4. Fill in the table with the counts of the observed combinations of categories.
cat but no dog = 20 - 7 = 13
both cat and dog = 17 -13 = 4
total no cat = 41 - 17 = 24
total dog = 41 - 20 = 21
dog but no cat = 24 - 7 = 17
| dog | no dog | total
cat | 4 | 13 | 17 |
no cat | 17 | 7 | 24 |
total | 21 | 20 | 41 |
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