(see attached photo)
The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:
Statement: Reasons:
1 AB is parallel to DC and AD is parallel to BC -Definition of parallelogram
2 angle 1 = angle 2, angle 3 = angle 4 -If two parallel lines are cut by a transversal then the alternate interior angles are congruent
3 BD = BD -Reflexive Property
4 triangles ADB and CBD are congruent -If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle, then the triangles are congruent by ______?_?_?_______
5 AB = DC, AD = BC -Corresponding parts of congruent triangles are congruent
Which choice completes the missing information for reason 4 in the chart?
AAS postulate
ASA postulate
HL Postulate
SAS postulate
The correct postulate for reason 4 in the proof chart is the ASA postulate.
To complete the missing information for reason 4 in the proof chart, we need to identify the correct postulate used for congruent triangles.
The given triangles ADB and CBD share the side BD (Reflexive Property), and they have pairs of congruent angles formed by the parallel lines (Alternate Interior Angles Theorem).
Since these triangles have two angles and the included side congruent, the appropriate postulate is the ASA postulate (Angle-Side-Angle).
Therefore, the correct choice is the ASA postulate.
If x = 0, then f(0) = . If f(x) = 0, then x =
Answer:
2.25 and the second one is -1
If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the other?
589=7 times 84 + n ?
The staff at the arcola country club prepares tables for a wedding reception they are able to prepare 6 tables in 45 minutes how many tables can the staff prepare in 4 hours
Product A costs her $26.50 She decides mark the product up 30% .How will Emerson charge for product A
Final answer:
To find the price Emerson will charge for product A with a 30% markup, add the markup to the original cost of $26.50. The final price will be $34.45.
Explanation:
To find the price at which Emerson will charge for product A, you need to add 30% markup to the original cost of $26.50.
To calculate this, first find 30% of $26.50. Multiply $26.50 by 0.30.
30% of $26.50 = $7.95
Next, add the markup to the original cost:
$26.50 + $7.95 = $34.45
Therefore, Emerson will charge $34.45 for product A.
Melinda ate breakfast and wanted to leave her waitress a 20% tip her meal cost $7.50 How much money should Melinda leave for the tip
what is the value of y?
Circle the correct answers. y + 3.5 = 18 y = 14.5 y = 15.5
What fraction of 2 kg is 275g? Give your answer in simplest form.
Answer:
Step-by-step explanation:
1kg=1000g
2kg=2000g
275/2000=11/80g
A fraction is the representative of the part of a whole. The fraction that
275 grams represent in 2 kg is given by the number of 275 grams in 2 kg.
The fraction of 2 kg that is 275 g is [tex]\dfrac{11}{80}[/tex]
275 g is [tex]\underline{\dfrac{11}{80}}[/tex] parts of 2 kgReasons:
The required information; The fraction of 2 kg that is 275 g.
Solution:
First the values are expressed in the same unit of kilograms as follows;
275 g = 0.275 kg
Therefore, we get;
[tex]\dfrac{0.275 \, kg}{2 \, kg} = \dfrac{25 \times 11 \, g}{25 \times 80 \, g} = \dfrac{11}{80}[/tex]
Therefore;
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2.Solve the following proportion. r/5=9/21 A. r=9 B. r=2.14 C. r=11.66 D. r=37.8
3.A recipe calls for 4 cups of sugar to make 4 dozen cookies. Use the proportion to calculate how much sugar is needed to make 8 dozen cookies.
The value of r in relation r/5=9/21 is 2.14.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional
\to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
r/5=9/21
Now, cross multiplying
r x 21= 9 x 5
21r = 45
r= 45/21
r= 15/7
r= 2.14
Hence, the value of r is 2.14.
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Evaluate 2xy2xy when x=−14x=−14 and y=3y=3.
use division to find all the whole number ratios equivalent to 56 :24.
In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.03 margin of error and use a confidence level of 95%. Complete parts (a) through (c) below.
A.) Assume that nothing is known about the percentage to be estimated.
n=
B.)Assume prior studies have shown that about 55%
of full-time students earn bachelor's degrees in four years or less.
n=
c. Does the added knowledge in part (b) have much of an effect on the sample size?
The required sample size is [tex]1,068[/tex]
A) Significance Level, [tex]\alpha = 0.05[/tex], Margin of Error,[tex]E=0.03[/tex]
The provided estimate of proportion p is, [tex]p=0.5[/tex]
The critical value for significance level, [tex]\alpha = 0.05[/tex] is [tex]1.96[/tex].
The following formula is used to compute the minimum sample size required to estimate the population proportion p within the required margin of error:
[tex]n>=p(1-p)\dfrac{Z_c}{E^2}^{2}[/tex]
Put Values , we get
[tex]n=0.5(1-0.5)\dfrac{1.96}{0.03^2}^{2}\\\\n=0.5(0.5)(65.33)^2\\\\n=0.25(4,268)[/tex]
[tex]n=1067.11[/tex]
Therefore, the sample size needed to satisfy the condition [tex]n>=1067.11[/tex] and it must be an integer number, we conclude that the minimum required sample size is [tex]n=1068[/tex]
Sample size, [tex]1068[/tex]
B) Significance Level, [tex]\alpha = 0.05[/tex], Margin of Error,[tex]E=0.03[/tex]
The provided estimate of proportion p is, [tex]p=0.55[/tex]
The critical value for significance level, [tex]\alpha = 0.05[/tex] is [tex]1.96[/tex].
The following formula is used to compute the minimum sample size required to estimate the population proportion p within the required margin of error:
[tex]n>=p(1-p)\dfrac{Z_c}{E^2}^{2}[/tex]
Put Values , we get
[tex]n=0.55(1-0.55)\dfrac{1.96}{0.03^2}^{2}\\\\n=0.55(0.45)(65.33)^2\\\\n=0.2475(4,268)[/tex]
[tex]n=1056.44[/tex]
Therefore, the sample size needed to satisfy the condition [tex]n>=1056.44[/tex] and it must be an integer number, we conclude that the minimum required sample size is [tex]n=1057[/tex]
Sample size, [tex]1057[/tex]
C)The difference between both the part a and b is very less so added knowledge of the extra information does not have much effect on sample size.
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Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation.
In mathematics, congruence of triangles is determined using rigid motions. If one can be made to coincide with the other through translation, rotation, and reflection, then the triangles are congruent.
Explanation:In mathematics, congruence of triangles is determined using rigid motions. Rigid motions include translation, rotation, and reflection. These motions maneuver a figure without altering its shape or size, hence the term 'rigid'.
To determine if two triangles are congruent by rigid motions, you could move one triangle using a combination of these rigid motions to check if it can overlap perfectly with the other triangle. For example, you may need to translate (or slide) the triangle a certain distance in a certain direction, rotate it around a point by a certain angle, and possibly reflect it across a line.
If you can make one triangle coincide with the other through these rigid motions, then the triangles are congruent. Otherwise, they are not congruent. This is basically the idea behind the congruence of triangles through rigid motions.
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A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis. For every 3 kiwis, there are 4... A) Bananas B) Oranges C) Apples
Based on the information given, for every 3 kiwis, there'll be 4 bananas.
Number of bananas = 8
Number of oranges = 3
Number of apples = 5
Number of kiwis = 6
Since the question was that there are 3 kiwis, therefore we have to divide the other fruits by 2 as well. In this case, the number of bananas will be:
= 8/2 = 4
Therefore, from the information depicted above, for every 3 kiwis, there'll be 4 bananas.
In conclusion, the correct option is A.
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1. Select all irrational numbers.
Square root of 10
Square root of 27
Square root of 49
Sq. Rt 64
Sq. Rt 99
2. Select all irrational numbers.
14√
24√
34√
44√
54√
3. Select "Rational" or "Irrational" to classify each number.
0.25
Sq. Rt. 0.25
Sq. Rt. 0.33
Be 100% SURE
Answer: (1)[tex]\sqrt{10}, \sqrt{27}, \sqrt{99}[/tex], (2) [tex]\sqrt{14}, \sqrt{24}, \sqrt{34}, \sqrt{44}, \sqrt{54}[/tex], (3) [tex]\sqrt{0.33}[/tex] are irrational numbers.
Explanation:
(1)
A number is called an irrational number if it can not be written as a simple fraction form. For example [tex]\sqrt{2}, \sqrt{3},\sqrt{5},...[/tex].
If a real number is multiplied by an irrational number then the result is an irrational number.
[tex]\sqrt{49}=7[/tex]
[tex]\sqrt{64}=8[/tex]
Since the result of these square roots are a rational number, therefore [tex]\sqrt{49}, \sqrt{64}[/tex] these are rational numbers and [tex]\sqrt{10}, \sqrt{27}, \sqrt{99}[/tex] are irrational numbers.
(2)
[tex]\sqrt{14} =\sqrt{7} \sqrt{2}[/tex]
[tex]\sqrt{24} =2\sqrt{6}[/tex]
[tex]\sqrt{14} =\sqrt{17} \sqrt{2}[/tex]
[tex]\sqrt{44} =2\sqrt{11}[/tex]
[tex]\sqrt{54} =3\sqrt{6}[/tex]
All the number in the option can not be written in the form of simple fraction, so all the options represents the irrational numbers.
(3)
[tex]0.25=\frac{1}{4}[/tex]
[tex]\sqrt{0.25} =0.5=\frac{1}{2}[/tex]
[tex]\sqrt{0.33} =\frac{\sqrt{33}}{10}[/tex]
Therefore, the number [tex]\sqrt{0.33}[/tex] is an irrational number. The numbers [tex]0.5,\sqrt{0.25}[/tex] are rational numbers.
From the set {70, 20, 15}, use substitution to determine which value of x makes the equation true.
5x = 75
help please god bless
Solve. Which number is equivalent to the expression below?
│ 12 – 8 │
A. 4
B. -4
C. 20
D. -20
jason earns $20 per game as a referee in youth soccer games. write an expression to find out how much money jason will earn for refereeing abny number of games. let n represent the number of games Jason has refereed. How much will he earn for refereeing 6 games? please help
I need help on this question
4x−5y=24
A King cobra has a mass of 8.845 kilograms. Round the mass to the nearest tenth kilogram
Estimate the number 78% of 112
a chair lift on the ski slope travels a total distance of 4640 ft to the top of a 2178 foot mountain find the angke of ski slope
20 points
please help
in return brainliest and special thanks
Find the product (3p^4)^4×(p^2)^7
Translate the following sentence into Math symbols, then solve the problem
y more than 4 is -36
Whats the answer with work shown
2h+15=3h-15
The median of the values of the data set is h. If 625 were subtracted from each of the values in the data set what would be the median of the resulting data ?
A. H - 625
B.625 - h
C.h + 625
D.625 • h
Answer:
Hi!
The correct answer is A. h-625.
Step-by-step explanation:
If you have a dataset listed in ascending order:
[tex]A = \lbrace\ a_1, a_2, a_3,..., a_\frac{n}{2},..., a_n \rbrace[/tex]
[tex]median = a_\frac{n}{2}[/tex]
The value of the mean, if the dataset is even:
The value of that divides a data sample into two halves.The value of the mean, if the dataset is odd:
The average of the two middle values that divide a data sample into two halves.If we substract 625 to each value of the dataset:
[tex]A = \lbrace\ a_1 - 625, a_2 - 625, a_3 - 625,..., a_\frac{n}{2} - 625,..., a_n - 625 \rbrace[/tex]
[tex]median = a_\frac{n}{2} - 625[/tex]
The position of the middle value is the same before the subtraction of 625, then the median would be H - 625.
What is the distance between points (5, 5) and (1, 5) on a coordinate plane
Can anyone give me the answer to 18.. Part A and B...if u can explain too please