If ∠ A ≅ ∠ B then ∠ B ≅ ∠ A serves as an example of the symmetric property of congruence.
The symmetric property of equality in mathematics is actually fairly straightforward. According to this criterion, if a = b, then b must also be a. In other words, even if two equations' sides are switched, the equation still makes sense.
According to this principle, if a = b and b = c, then a = c.
THE CHARACTERSISTICS OF CONGRUENCE:
1. REFLEXIVE PROPERTY
CONCURRENCE TO LINE SEGMENT AB IS LINE SEGMENT AB
3. SYMMETRIC PROPERTY : Angle B is congruent with angle A if and only if angle A is congruent with angle B.
3. TRANSITIVE PROPERTY: Angle A is in accordance with Angle C if Angle A is in accordance with Angle B and Angle B is in accordance with Angle C.
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A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)
Answer:
The answer is "between 0.10 and 0.05".
Step-by-step explanation:
For sample 1:
[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]
For sample 2:
[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]
Calculating the null and alternative hypotheses:
[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]
Calculating the test statistic:
[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]
Calculating the conservative degrees of freedom:
[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]
by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].
[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]
Will make brain list
For h(x), to find out the maximum, you would need to use this formula: [tex]c-(\frac{b^{2} }{4a} )[/tex]
We are given the equation: [tex]h(x)=-x^{2}+4x-2[/tex].
So, a = -1, b = 4, and c = -2. Then, substitute the numbers into the formula:
h(x)'s maximum = [tex]c-(\frac{b^{2} }{4a} )[/tex]
= [tex](-2)-(\frac{(4)^{2} }{4(-1)} )[/tex]
= [tex](-2)-(\frac{16 }{-4} )[/tex]
= [tex](-2)-(-4)[/tex]
= [tex]2[/tex]
For g(x), to find out the maximum, just look at the highest point of y on the graph of the function, which is 2.
Thus, the answer you have chosen is the correct answer, which is choice 3: functions g and h have the same maximum of 2. Hope this helps :)
I'm a little confused so I have no need for an explanation just answer honestly
Can someone please explain how to solve these questions.
Answer: your answer are in the screen shots hope this helped
Step-by-step explanation:
i need help with these questions
Answer:
1.) 2.5cm
2.) 1 3/4
3.) 1.6
4.) 4/5
5.) 18.84
Step-by-step explanation:
So the radius is half of the diameter, so the first one would be:
5 ÷ 2 = 2.5
We do the same thing for the next one:
3 1/2 ÷ 2 = 1 3/4
Now we have to go backwards because we have the radius and we're trying to find the diameter:
0.8 x 2 = 1.6
And the next one:
3/5 x 2 = 4/5
Now to find the circumference, we multiply the diameter by pi (3.14)
6 x 3.14 = 18.84
let me know if any of these are wrong
hope this helps:)
Please I need this will mark brainliest
im editing it i pressed send by accident
Answer:
8) x - intercept: (-7, 0)
y - intercept: (0, -7)
9) x- intercept: (4,0)
y- intercepts: ( 0, 8)
10) x- intercepts: (9,0)
y- intercepts: (0,3)
Step-by-step explanation:
What does x equal?
5x + 4 = 1
Answer:
x= -5
Step-by-step explanation:
how do you give someone brainliest on a computer?
Parallelograms in geometry.
Answer:
x = 16
Step-by-step explanation:
In a parallelogram , consecutive angles sum to 180° , then
3x + 5 + 9x - 17 = 180
12x - 12 = 180 ( add 12 to both sides )
12x = 192 ( divide both sides by 12 )
x = 16
take off the parentheses and then take off the number and the degrees symbol with the plus sign
take off the parentheses from the 9,-,17, and the degrees symbol
now your left with 2 x'
do x-x = what?
it it x
period
Order these numbers from least to greatest. 8.009, 8.7, 8.09, 8.7082
Answer:
8.009 , 8.09 , 8.7 , 8.7082
Step-by-step explanation:
Convert all numbers to decimals.
8.009 = 8.009
8.7 = 8.7
8.09 = 8.09
8.7082 = 8.7082
Arrange the numbers in ascending order.
8.009 , 8.09 , 8.7 , 8.7082
Building a has 7,500 ft of an office space for 320 employees building b has 9,500 square feet of office space for 370 employees which building has more square feet of space per employee explain
Answer:
I believe the correct answer is Building B
Step-by-step explanation:
Building A is 23.45 per employee and Building B is 25.67 per employee
Please help! Will give brainlist if correct! :(
Answer:
Rounding can be referred to as a replacement of a number with another number that is equivalent to it. Rounding can be used to shorten a given number without depriving it of its original value. For example, we have to round 56.89. We can round it as replacing it with 57 which is the closest value to 56.
Rounding numbers isn't that difficult task. In fact, it's quite interesting and easy to do. For rounding, all you are required to do is to figure out which decimal place of the number you want to round off. There are different methods to round off numbers. You can round off numbers to Half Up/Down, Round-Up/Down Round Half to Even/Odd, and So on. Anyhow, here, we are concerned with "To What Place You Want to Round Off a Number". This can be illustrated.
To know how rounding calculator works you just have to understand the way the numbers are rounded off to a particular decimal place. Following is a list of the places to which a number can be rounded off: 1. Ones 2. Tens 3. Hundreds 4. Thousands 5. Ten Thousands 6. Millions 7. Tenths (1 decimal place) 8. Hundredths (2 decimal place) 9. Thousandths ( 3 decimal place) 10. Ten Thousandths (4 decimal place) 11. Hundred Thousandths (5 decimal place) 12. Millionths (6 decimal place)
Step-by-step explanation:
If m< BOE = 130 degrees and m< cob = 80 degrees
Answer:
then what?
Step-by-step explanation:
do we have to find the angle?
all I know is every right triangle is equal to 90°
A quadratic function is defined by \small f\left(x\right)=x^2-8x-4. Which expression also defines \small f and best reveals the maximum or minimum of the function?
Answer:
f(x) = [x – (4 + √20)][x – (4 – √20]
Step-by-step explanation:
In order to know the function that best describes the given f(x) that best reveals it's minimum or maximum, we need to know solve for x.
x² – 8x – 4 = 0
Using completing the square method
x² – 8x = 4
x² – 8x + 4² = 4 + 4²
(x – 4)² = 20
x = 4 ±√20
Therefore
f(x) = [x – (4 + √20)][x – (4 – √20]
Are there proportional
Evaluate the function.
f(x)=-x^2-14
Find f(9)
What is the volume, in cubic M, of a cylinder with a height of 13M and a base radius of 3M, to the nearest 10th Place?
Answer:
The volume of the cylinder is 367.6 M^3
Step-by-step explanation:
Mathematically, we have the volume of a cylinder calculated as follows;
V = pi * r^2 * h
r is the base radius given as 3 m
h is the height given as 13 m
So, we have the volume as;
V = 22/7 * 3^2 * 13 = 367.6 M^3
Answer:
367.6 m³
Step-by-step explanation:
h=13 r=3 identify variables
V= πr² h use volume of a cylinder formula
V=π(3)²(13) substitute variables into formula
V= 367.56634047 multiply
V=367.6 m³ round to the nearest tenths place
The volume of the rectangular prism is ________ cm3
Answer:
volume of rectangular prism =l×w×h
volume of rectangular prism =4cm×2cm×7cm
volume of rectangular prism =56cm³
Answer:
The volume of the rectangular prism is [tex]56cm^3[/tex]
Step-by-step explanation:
To find the volume of a rectangular prism, you need to multiply the length, width, and height of the rectangular prism altogether. In this case, the length is 4cm, the width is 2cm, and the height is 7cm. So the volume of the rectangular prism would be [tex]7*2*4[/tex] = [tex]7 * 8[/tex] = [tex]56cm^3[/tex].
Question 7
Which expression is equivalent to the expression shown?
10 x 40
45
104 x 4
15
9
9
40
104 x 45
Answer:
10^4x 4^5 hope that helps you out
Translate the sentence into an equation.
Seven more than the product of a number and 3 equals 5.
Use the variable w for the unknown number.
The expression which represents seven more than the product of a number and 3 equals 5 is 3w + 7 = 5.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given,
Product of w and 3 = 3w
7 more then 3w = 3w + 7
It is equal to 5 so,
3w + 7 = 5
3w = 5 - 7
w = -2/3
Hence "The expression which represents seven more than the product of a number and 3 equals 5 is 3w + 7 = 5".
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1) Find the total surface area of the following figure. Round your answer to the
nearest whole number.
.471 in2
.432 in2
.498 in2
.456 in2
Answer:
.471 in2
Step-by-step explanation:
Use the formula for total surface area of a cylinder: 2*pi*r^2(top and bottom circle) + 2*pi*r*h (the surface around)
I NEED HELP ON THIS ASAP!!!!!
Answer:
1. 3.48 i think but 2. is 115
Step-by-step explanation:
yo pls help me out, the question is on the picture.
ill mark brainliest if its correct. NO LINKS!
Answer:
3/4
Step-by-step explanation:
Tangent is opposite/adjacent side. To get the adjacent side, use the Pythagorean Theorem:
a² + b² = c²
3² + b² = 5²
9 + b² = 25
b² = 16
√b² = √16
b = 4
tan(O) = opposite/adjacent side
tan(O) = 3/4
Help please not sure what it can be!
What value of x makes this equation true? 12 x - 15 = 6 - 3 x
Answer:
[tex]x = 1\frac{2}{5}[/tex][tex]x = 1\frac{2}{5}[/tex]
can somebody please please help me :/
In ARST, r = 86 inches, s = 77 inches and T=9º. Find the area of ARST, to the nearest square inch.
Answer:
518
Step-by-step explanation:
. Out of 40 pupils only 30 pupils submitted their project on time
What percent of the pupils submitted their project on time?
Asked:
Given:
Operation:
Number Sentence:
Solution:
Answer:
Answer:
75 %
Step-by-step explanation:
To solve for the above question,
The percentage of pupils that submitted their project on time
= Number of pupils that submitted their project on time/Number of pupils × 100
Number of pupils that submitted their project on time = 30 pupils
Number of pupils = 40 pupils
= 30/40 × 100
= 75 %
The percent of the pupils that submitted their project on time is 75%
HELP ASAP!!!!
thank you so much if you helped!!
Answer:
H. 22 hours
Step-by-step explanation:
He earns $8 per hour.
176 ÷ 8
22
Please help me NO LINKS PLEASE ✌︎('ω'✌︎ )
Answer:
substitution method
x = 7
y = 2
Step-by-step explanation:
2x - 2y = 10
x = 7
substitute for x:
2(7) - 2y = 10
14 - 2y = 10
subtract 14 from each side of the equation:
-2y = -4
divide both sides by -2:
y = 2