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Answer:

[tex]m∠1 + m∠2 = 180[/tex]

Step-by-step explanation:

[tex]m∠1 = m∠3 \\ m∠2 = m∠4[/tex]

[tex]m∠ 1 = m∠3 \\ 60 = 60[/tex]

[tex]360 - m∠1 + m∠3 = m∠2 + m∠4[/tex]

[tex]360 - 60 + 60 = m∠2 + m∠4[/tex]

[tex]360 - 2(60) = m∠2 + m∠4[/tex]

[tex]360 - 120 = m∠2 + m∠4[/tex]

[tex]240 = m∠2 + m∠4[/tex]

[tex] \frac{240}{2} = m∠2 = m∠4[/tex]

[tex]120 = m∠2 = m∠4[/tex]

[tex]m∠2 = 120 \\ m∠4 = 120[/tex]

[tex]m∠1 = 60 \\ m∠3 = 60[/tex]

[tex]m∠2 = 120 \\ m∠4 = 120[/tex]

[tex]m∠1 + m∠2 + m∠3 + m∠4 { = }^{?} 360[/tex]

[tex]60 + 120 + 60 + 120 { = }^{?} 360[/tex]

[tex]2(60) + 2(120) { = }^{?} 360[/tex]

[tex]120 + 240 { = }^{?} 360[/tex]

[tex]360 = 360[/tex]

[tex]m∠1 + m∠2 [/tex]

[tex]60 + 120 = 180[/tex]

[tex]m∠1 + m∠2 = 180[/tex]

Answer:

-3b³ - 5b² + 10b

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define Expression

(10b + 7b² - 6b³) - (12b² - 3b³)

Step 2: Simplify

Answer:

sorry

Step-by-step explanation:

I really don't know answer

Answer:

x = 11

Step-by-step explanation:

Angle CAB = 33 degrees (Z-figure)

Angle ACE = 180 degrees (line), therefore angle ACB = 180 - 5x.

Sum of all angles in the triangle should equate to 180 degrees.

Now the sum is of all angles in triangle ABC is:

CAB + ABC + ACB = 33 + (180 - 5x) + 2x = 213 - 3x

So 213 - 3x should equal 180.

213 - 3x = 180 <=> -3x = -33 <=> x = 11

Answer:

65 yd

Step-by-step explanation:

The image of this walking path of Cristal is missing, so i have attached it.

From the image attached, we can see that the path "x" is the hypotenuse path a the triangle.

Thus, we can use pythagoras theorem to find the area. Thus;

x² = 16² + 63²

x = √(16² + 63²)

x = √4225

x = 65 yd

Answer:

³⅜

Step-by-step explanation:

⁴⁵⅖

+⁷⅝×⅖i

I HOPE IT HELP TYSM

Answer:

i dunno

Step-by-step explanation:

Answer:

[tex]Probability = 0.3131[/tex]

Step-by-step explanation:

Required

Determine the probability of selecting a woman

The given data can be represented to show women distribution as:

-------------------------------------- Women ------------------- Total

Assistant Professors ----------- 108 ----------------------253

Associate Professors ---------97 -------------------------301

Full Professors -----------------78---------------------------350

First, we calculate the number of women

[tex]Women = 108 + 97 + 78[/tex]

[tex]Women = 283[/tex]

Next, we calculate the total number of professors

[tex]Professors = 253 + 301 + 350[/tex]

[tex]Professors = 904[/tex]

Probability of selecting women is then calculated as:

[tex]Probability = \frac{Women}{Professors}[/tex]

[tex]Probability = \frac{283}{904}[/tex]

[tex]Probability = 0.31305309734[/tex]

[tex]Probability = 0.3131[/tex] -- (approximated)

Answer:

thats correct

Step-by-step explanation:

i had that on my test and i ot it right

Answer:

24

Step-by-step explanation:

Answer:

The value is equvilant to 24

12−(−13)−1

=24

The problem was already simplified-

Oh and try using this website called math papa its an algebra calculator it really helps and it even shows you the step by step process!

Answer:

1. <

2. <

3. >

Step-by-step explanation:

-8 is smaller than 8

the absolute value of -4 is 4, but there is another minus, so it becomes -4.  -4 is smaller than -2

-7 is bigger than -9

Answer:

Step-by-step explanation:

-8 < |8|

-|-4| < -2

-7 > -9

absolute value has the || sign around the number. If you see that, and there's a "minus" sign, then reverse it to a PLUS sign. Because absolute value is just how far away the number is to 0. So -8 is "8" to 0.

now if we have for example, -|-4| then it'd be -4 because |-4| is 4, but then -4 again cause there's a minus sign.

Answer:

32

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

9 = 2x - 5

add 5 to both sides

14 = 2x

divide by 2 to get x by itself

x = 7

Answer:

A = 432 ft^2

Step-by-step explanation:

[tex]A=\frac{a+b}{2} *h[/tex]

A = (32+16)/2 * 18

A = 48/2 * 18

A = 24*18

A = 432 ft^2

Answer:

This answer is not originally mine so Don give me credit

Step-by-step explanation:

Amit's school bus in m/s will be

36×1000/3600

36 × 10/36

= 10 m/s

While sushma's school bus has speed of 11 m/s

so sushma's school bus is faster than Amit's school bus

Answer:

Amit's: 10 m/s

Sushma's 11 m/s

Step-by-step explanation:

Amit's:

36 x 1000/3600

36 x 10/36

Sushma's:

11 m/s

Sushma's school bus is faster than Amit

Answer:

3.0%

Step-by-step explanation:

[tex](\frac{53.80}{1785}) * 100 = 3.01[/tex]

Answer:

ok.

Step-by-step explanation:

y=-1/1x+4. hope this helped :))

Answer: y= -8/8x + 4

or y=-x+4

Step-by-step explanation:

Answer:

8571 letters per day

Step-by-step explanation:

60,000/1 week is the same as 60,000/7 days so

60,000/7 = 8571.428571

is aproximately 8571 letters per day

Answer:

225

Step-by-step explanation:

15x15=225

There is a cool trick you can do. Lets take 28 and square it.

First you round the number up. 28 rounded is 30. You rounded up by 2 (30-28=2) so you minus 2 from 28.

You are left with these two numbers, 26 and 30. Add a zero to the 26.

You now have 260 and 3 (you remove 0 on the 30 since you added it to the 26)

Then you multiply by 3.

260x3=780

Then you add the square of the number you rounded up too, which is 2.

You are left with this equation.

(2^2)+780= 784

28x28=784.

This works for numbers below 100 and integers

Answer:

13887.8289474

Step-by-step explanation:

i used a calculator cuz im dum too lol

Answer:

45*23455/76 = 133887.82894736

Answer:

Jill will receive an increase of $3 per hour

Step-by-step explanation:

The Quadratic Equation

The quadratic equation can be represented in the standard form as:

[tex]ax^2+bx+c=0[/tex]

being a,b, and c are constants.

It can be solved by using the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Jill would like an increase in her hourly wage. The increase will come as the solution for a maths equation.

She must solve the equation:

[tex]x^2-6x+9=0[/tex]

The solution to the equation, or value of x, is the increase in her hourly wage.

Comparing with the general form, we have a=1, b=-6, c=9. Thus, the solutions are:

[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(9)}}{2(1)}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{36-36}}{2}[/tex]

[tex]\displaystyle x=\frac{6\pm \sqrt{0}}{2}[/tex]

The square root is 0, therefore is only one solution:

[tex]\displaystyle x=\frac{6}{2}=3[/tex]

x = 3

Thus, her raise per hour is $3.

Answer:

[tex]a_{61}=-972[/tex]

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the first terms of a sequence:

-12, -28, -44,...

Find the common difference by subtracting consecutive terms:

r = -28 - (-12) = -16

r = -44 - (-28) = -16

The first term is a1 = -12. Now we calculate the term n=61:

[tex]a_{61}=-12+(61-1)(-16)[/tex]

[tex]a_{61}=-12-60*16=-12-960[/tex]

[tex]\mathbf{a_{61}=-972}[/tex]

Answer:

84 yd^2

Step-by-step explanation:

Answer:

½ × 7yd × 24yd = 84yd² <<<<< the answer

Answer:

0.903

Step-by-step explanation:

[tex] log_{a}8 \\ \\ = log_{a} {2}^{3} \\ \\ = 3log_{a} {2} \\ \\ = 3 \times 0.301 \\ \\ log_{a}8 = 0.903[/tex]

Answer:

The radius is 2.46686837338 or simplified: 2.5.

Step-by-step explanation:

A = 60 so it would be √60/3.14 =2.46686837338

I hope this helps and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Step-by-step explanation: like what that peson said! way to go and good luck on your test!

Answer:

I think you can

Step-by-step explanation:

Answer:

I think you can take it in the next semester

Step-by-step explanation:

Answer:

you need to explain

Step-by-step explanation: