What is the value of x in the solution of the following system of equations: 3x + 2y = 12 and 5x - 2y = 4 ?

Answer:

a1) 65

a2) 25

a3) 45

Step-by-step explanation:

all triangle equal to 180

Answer:

65

25

45

Step-by-step explanation:

1) green triangle 180 - 50 - 65 = 130 - 65 = 65

2) purple triangle 180 - 130 - 25 = 50 - 25 = 25

3) red triangle 180 - 45 - 90 = 90 - 45 = 45

Given:

A chess club with 45 members is electing a new president.

Bob received 18 votes.

To find:

The percentage of the club members who voted for Bob.

Solution:

We have,

Total number of members = 45

Votes received by bob = 18

Now, the percentage of the club members who voted for Bob is

[tex]\%=\dfrac{\text{Number of members voted for bob}}{\text{Total members}}\times 100[/tex]

[tex]\%=\dfrac{18}{45}\times 100[/tex]

[tex]\%=\dfrac{2}{5}\times 100[/tex]

[tex]\%=\dfrac{200}{5}[/tex]

[tex]\%=40[/tex]

Therefore, 40% of the club members voted for Bob.

Answer:

C. 3/4

Step-by-step explanation:

Using the SOH CAH TOA identity;

tan theta = opposite/adjacent

From the diagram

Opposite = x

Adjacent = 12

tan <B  = x/12

Since cot <B = 1/tan <B

cot <B = 12/x

Get x using pythagoras theorem

x² = 20²-12²

x² = 400 -144

x² = 256

x = 16

Hence cot <B = 12/16

cot <B =3/4

Answer:

6

Step-by-step explanation:

6 divided by 2 is 3

Answer:

AC = 4.7 feet

Step-by-step explanation:

cos 20° = x

                5

5 · cos 20° = x

4.7 = x

This question is incomplete

Complete Question

If the measurement of a central angle is 5pi/6, find the length of its intercepted arc in a circle with a radius of 15 inches

a 33.4 inches

b. 35.6 inches

C. 37.5 inches

d. 39.3 inches

Answer:

d. 39.3 inches

Step-by-step explanation:

We are to find the Arc length of the circle

To solve the above question, the formula is given as:

Arc length = Central angle × radius

From the above Question, we are given:

Central angle = 5pi/6 = 5π/6

Radius = 15 inches

Hence,

Arc length = 5π/6 × 15 inches

Arc length = 235.61944901923448/ 6

Arc length = 39.26990817 inches

Approximately , the Arc length

= 39.3 inches.

Therefore, Option d is the correct answer.

Answer:

A and C

Step-by-step explanation:

Answer:

(-3, 13)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = -4x + 1

11y = x + 146

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

D.) -3

Step-by-step explanation:

N is greater than -4 and less than -2.

Therefore, -3 is N since it is between -4 and -2.

The answer is H-16! Hope this helps! :-)

Answer:

F:64

Step-by-step explanation:

64 divided by 4 is 16.

Answer:

1.325 mg

have a good day :)

Answer:

9.3750 mg

Step-by-step explanation:

6√3

Step-by-step explanation:

6 is x. side across from right angle (12) is 2x. so 6x2 to get 12. missing side is x√3. so 6√3

Answer:

6√3

Step-by-step explanation:

using the pythagorean theorem you can plug in the numbers to get √(12^2 - 6^2) = √(144-36) = √108 = 6√3.

Answer:

Step-by-step explanation:

Total Weight = 2½ + 1⅓ + 2

= 5/2 + 4/3 + 2

= 15/6 + 8/6 + 12/6

= 35/6

= 5⅚ pounds

Answer:155

Step-by-step explanation:

because they are parallel lines. If the angles differed even by 1°, eventually the lines would meet, therefore they would not be parallel.

Answer:

Firstly angle 6 and 2 are equal because of corresponding angles

so 6 = 2

Now angle 1 + 2 = 180 ( linear pair)

angle 1 = 180 - 55

1 = 125

hope it helps and your day will fine

if the addition if (X+45)° and (X+105)° equal 180°

due to they are a co- interior angles.

then X+45+X+105 = 180°

2X+150 = 180°

2X = 30

X = 15°

Answer:

r = 1

Step-by-step explanation:

The radius of the circle is 3

Answer:

the 3rd one.

Step-by-step explanation:

Option D is correct, Aiku has a total of 4.12 meters of rope in all.

Two or more expressions with an Equal sign is called as Equation.

To find the total length of the rope in meters, we need to convert the lengths of the two ropes from centimeters to meters and then add them together.

The length of the first rope is 45 centimeters, which is equal to 0.45 meters (since 1 meter = 100 centimeters).

The length of the second rope is 367 centimeters, which is equal to 3.67 meters.

Adding these two lengths together, we get:

0.45 meters + 3.67 meters = 4.12 meters

Therefore, Aiku has a total of 4.12 meters of rope in all.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

Step-by-step explanation:

(1-0.32)p=357

0.68p=357

p=$525

Answer:

471.24

Step-by-step explanation:

First you want to find 32% of 357, which is 114.24. Then you want to add that onto 357. Hope this helps!

Answer:

250

Step-by-step explanation:

-17+n/5=33

n/5=33-(-17)

n/5=33+17

n/5=50

n=50*5

n=250

n=182

Step by Step Explanation:

The equation we would start out with is:

[tex] \frac{ - 17 + n}{5} = 33[/tex]

From here, we need to multiply both sides by 5. This would create an equation of -17+n=165, as we canceled out the 5.

Then, you need to add 17 to both sides to isolate the variable. This would make the equation n=182, our final answer.

Answer:

The Manchester, England sweater is more expensive.

27 GBP is equal to 49.52 CAD, which is more than the 38 CAD from the afterwards.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

its 7

Answer:

slope Formula = y^2-y^1/x^2+x^1

Step-by-step explanation:

now,

[tex]10 - 3 \div 6 - 5 [/tex]

[tex]7 \div 1[/tex]

[tex] = 7[/tex]

Answer:

B

Step-by-step explanation:

B/ y - 4 = 4/3(x - 6)

x> 1

i hope it helps you ❤️❤️❤️

Answer:

if x=-4 & y=-14...then x=9 & Y= -1. which is minus 10

Step-by-step explanation:

-4 is 10 under -14. If X=9 then Y= -1.