What property of congruence is illustrated in the statement if ∠ A ≅ ∠ B then ∠ B ≅ ∠ A?

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

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

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].

Answer:

[tex]x = 1\frac{2}{5}[/tex][tex]x = 1\frac{2}{5}[/tex]

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%

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

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]

Answer:

H. 22 hours

Step-by-step explanation:

He earns $8 per hour.

176 ÷ 8

22

The expression which represents seven more than the product of a number and 3 equals 5 is 3w + 7 = 5.

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".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Answer: your answer are in the screen shots hope this helped  

Step-by-step explanation:

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:)

Answer:

518

Step-by-step explanation:

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

Answer:

10^4x 4^5 hope that helps you out

Answer:

1. 3.48 i think but 2. is 115

Step-by-step explanation:

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]

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:

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 :)

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

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

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)

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°

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:

Answer:

x= -5

Step-by-step explanation: