Determine the approximate value of side a.

Given:

An exterior angle of a triangle = 2x+30°

Two opposite interior angles are 33° and 41°.

To find:

The value of x.

Solution:

According to the exterior angle thereom, the exterior angle of a triangle is equal to the sum of opposite interior angles.

Using exterior angle theroem, we get

[tex](2x+30)^\circ=33^\circ+41^\circ[/tex]

[tex](2x+30)^\circ=74^\circ[/tex]

[tex](2x+30)=74[/tex]

On further simplification, we get

[tex]2x=74-30[/tex]

[tex]2x=44[/tex]

[tex]x=\dfrac{44}{2}[/tex]

[tex]x=22[/tex]

Therefore, the value of x is 22.

Answer: 4 * (12.75 + x) = 61

Step-by-step explanation:

Each of the 4 friends paid $12.75 so that is:

= 4 * 12.75

Assuming the tip is denoted as x it would be:

= 4x

Putting them together is:

4 * (12.75 + x) = 61

Solving the equation would give:

4 * (12.75 + x) = 61

51 + 4x = 61

4x = 61 - 51

x = 10/4

x = $2.50

Answer:

Green Lawns is more expensive

Step-by-step explanation:

Take the hours provided in the table and place them into the function

y=10x + 15

Then compare to Green Lawns.

For 2 hours:

y = 10 * 2 + 15 = $35 / hr

For 3 hours:

y=10 * 3 + 15 = $45 / hr

Answer:

24

Step-by-step explanation:

9+6(2+3/6)

9+6(2+1/2)

2+1/2 = 2.5

9+6(2.5)

9+15

24

Answer:

Everything except the 3rd one!

Step-by-step explanation:

Answer:

the answer will be 3

Step-by-step explanation:

do the parenthesis first

Answer:

Nope

Step-by-step explanation:

According to the Triangle Inequality Theorem, any 2 sides of the triangle must always be more than the third. Here, we can see that the theorem is violated because 11 + 11 < 25. Therefore, it is not a legitimate Triangle.

Answer:

Angle BDA is 90°

(2x + 3) + 55 = 90

2x + 3 + 55 = 90

2x + 58 = 90

2x = 90 - 58

2x = 32

x = 32/2

x = 16

Hence,

x=16

x=16Angle BDA is 90°.

Answer:

1+4x−5x

−7x ^2 +1−(−2x^2−4x)= −7x^2+1+2x^2+4x = 1+4x−5x

Answer:

56 degrees

Step-by-step explanation:

Assuming this is trigonometry, you use the tangent method. Which means in order to find the angle you put the adjacent side of what your finding and the opposite on top of it.

The equation is tan(angle)= 9/6

You multiply both sides by the arch of tangent and get

angle =tan^-1 (9/6)

I inserted it into my geometry calculator and got 56.30993247, I rounded to the nearest degree and got 56 degrees

Answer:

56°

Step-by-step explanation:

Answer:

w=-15

Step-by-step explanation:

desmos graphing calculator. Just switch the w for x

Answer:

perpendicular

Step-by-step explanation:

1. Movies

2. go to gym

3. ride subway

4. walk

5. drive

The domain is (-∞,∞) and the range is [0,∞)

Answer:

Domain: all real numbers

Range: y bigger or equal to 0

Step-by-step explanation:

EDG2021

Answer:

Anna received $1000

Barbara received $600

Chrissy received $400

Step-by-step explanation:

Let us solve the problem

∵ The ratio of Anna, Barbara, and Chrissy is 5: 3: 2

∵ Barbara received $400 less than Anna

→ That means Anna - Barbara is 400, find the difference between their ratio

∵ The difference between their ratio = 5 - 3 = 2  

→ By using the ratio method

→  Anna  :  Barbara  : difference

→  5        :  3              :  2

→  A        :  B             :  400

→ By using the cross multiplication

∵ A × 2 = 5 × 400

∴ 2A = 2000

→ Divide both sides by 2

∴ A = 1000

∴ Anna received $1000

∵  B × 2 = 3 × 400

∴ 2B = 1200

→ Divide both sides by 2

∴ B = 600

∴ Barbara received $600

Let us use the ratio between Anna and Chrissy to find the amount of Chrissy

→  Anna  :  Chrissy

→  5        :   2

→  1000  :   C

→ By using cross multiplication

∵ 5 × C = 2 × 1000

∴ 5C = 2000

→ Divide both sides by 5

∴ C = 400

∴ Chrissy received $400

Answer:

23.64

Step-by-step explanation:

By Pythagoras Theorem:

[tex] {x}^{2} = {28}^{2} - (25 - 10)^{2} \\ \\ {x}^{2} = {28}^{2} -15^{2} \\ \\ {x}^{2} = 784 - 225 \\ \\ {x}^{2} = 559 \\ \\ x = \sqrt{559} \\ \\ x = 23.6431808 \\ \\ x = 23.64[/tex]

Answer: 252

Step-by-step explanation:

you multiply 7 by 36 which gives u 252

Answer:

126

Step-by-step explanation:

36/2=18

18x7=126

Answer:

Is this the full question?

Step-by-step explanation:

Answer:

x^2 + y = 18

Step-by-step explanation:

The equation is

Let us assume the first number be x

And, the second number be y

Since in the question it is mentioned that the sum of square of a number and the second number is eighteen

That means

x^2 + y = 18

This represent the equation

Answer:

The probability of randomly selecting a grape toothpaste is 4:20.

Step-by-step explanation:

I hope this helps and I hope u have an Amazing Day!

Answer:

The theoretical probability of selecting a grape toothpaste is 4/20.

Step-by-step explanation:

There are 20 toothpastes in total, you want to find out about the grape. The chances of you picking grape is out of 20, so it's 4/20 since there's only 4 grape.

Answer:

3gallons per minute

Step-by-step explanation:

Answer:

im so sry. I know how it feels to study real hard but you just dont

get good grades. :(   You could try to see if anything is for extra credit or maybe you can retake some bad grades. :)

i hope everything turns out well for you :)

Step-by-step explanation:

good luck!

Step-by-step explanation:

$80,000×5×10/100= 40,000

Answer:75.00

Step-by-step explanation:750 x 5% x 2 = 75

Answer:

They can make 5 posters.

Answer:

Step-by-step explanation:

I would love to answer you but there are no questions.

Answer

The last one

Step-by-step explanation:

Im big brain

Answer:

3 + 5 + 7 = 15

they have 15 quarters altogether so answer is 15q