and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105

Answers:

================================================

Explanation:

The angles with the similar arc markers are congruent angles. This is only when we consider any particular triangle isolated from the others.

Since we have 2 congruent angles, the triangles are considered isosceles. The congruent sides are opposite the congruent angles.

So we'll set the congruent side expressions equal to one another and solve for x. We ignore the side that isn't opposite one of the congruent angles. This applies to all four problems.

---------------------------

Work Shown for Problem 6:

3x = x+10

3x-x = 10

2x = 10

x = 10/2

x = 5

---------------------------

Work Shown for Problem 7:

x = 10-x

x+x = 10

2x = 10

x = 10/2

x = 5

---------------------------

Work Shown for Problem 8:

4x-12 = x

4x-x = 12

3x = 12

x = 12/3

x = 4

---------------------------

Work Shown for Problem 9:

2(x+3) = 18

2x+6 = 18

2x = 18-6

2x = 12

x = 12/2

x = 6

Or you can solve it like this

2(x+3) = 18

x+3 = 18/2

x+3 = 9

x = 9-3

x = 6

Answer:

207

Step-by-step explanation:

By counting the amount of numbers to get from -93 to 114, you count a total of 207. This means it takes 207 steps to get from -93 to 114.

When finding the distance between negative and positive numbers you can also add the numbers together to get the total distance between the numbers.

Answer: what ever u said on the answer to one of my questions got deleted lol

Step-by-step explanation:

Answer:

Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity

Answer:

Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity. They are used to understand, to develop, and to communicate different mathematical features of the same object or operation, as well as connections between different properties.

Answer:

676.09

Step-by-step explanation:

550.87 + 75.98 = 626.85

626.85 - 34.88 = 591.97

591.97 + 84.12 = 676.09 therefore that's the amount at the end of the month

Answer:

Step-by-step explanation:

Sparkling grape juice is made with 1.5 quarts sparkling water and 0.75 quarts grape juice. When these two get mixed we get 2.25 quarts sparkling grape juice

So for 2.25 quarts sparkling grape juice we require 1.5 quarts sparkling water

⇒ For 100 quarts sparkling grape juice we require  * 100 quarts of sparkling water

⇒ Sparkling water required for 100 quarts of sparking grape juice = 66.67 quarts

Answer:For this case we have that by definition it is fulfilled:

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to:  

So we have to:

-6: It is the base

4: It is the exponent

-6: It is the base

4: It is the exponent

Step-by-step explanation:

Answer:

Answer:

-4x-10

Step-by-step explanation:

This is the answer if you are simplifying the expression.

Answer:

−  4    −  8

Step-by-step explanation:

Answer: There's an increasing interval between -1 and 1

While x goes from -1 to 1, the value of y increases (from -2 to 2).

Answer:

21

Step-by-step explanation:

10.5 ÷ 3 = 3.5

3.5 × 6 = 21

Answer:

$56.29

Step-by-step explanation:

Answer:

2x =3

The hanger image given in the figure represents balanced equation.

Then we have to write an equation to represent the image.

In balanced form left side = right side

x + x = 1 + 1 + 1

2x = 3

The value v is 9.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that is a structure showing a balanced hanger we need to find the value,

So we can say since the hanger is balanced therefore the weight both sides will be equal,

Therefore,

v + v + v = 27

3v = 27

v = 27

Hence the value v is 9.

Learn more about equation click;

https://brainly.com/question/29657983

#SPJ2

Answer:

x=8 (one solution)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7(x−5)=x+13

(7)(x)+(7)(−5)=x+13(Distribute)

7x+−35=x+13

7x−35=x+13

Step 2: Subtract x from both sides.

7x−35−x=x+13−x

6x−35=13

Step 3: Add 35 to both sides.

6x−35+35=13+35

6x=48

Step 4: Divide both sides by 6.

x=8

Answer:

x = 8 (one solution)

Step-by-step explanation:

7x - 35 = x + 13

-x            -x

6x - 35 = 13

     +35   + 35

6x = 48

divided by six on both sides

x = 8

Answer:

Let's solve your equation step-by-step.

c+

3

8

=1

1

3

Step 1: Simplify both sides of the equation.

c+

3

8

=

4

3

Step 2: Subtract 3/8 from both sides.

c+

3

8

−

3

8

=

4

3

−

3

8

c=

23

24

Answer:

c=

23

24

Answer: y=10x

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is y=1x+2

Answer:

-6/5

Step-by-step explanation:

The slope of perpendicular lines multiply to -1

5/6 * p = -1

Multiply each side by 6/5

6/5 * 5/6 * p = -1 * 6/5

p = -6/5

The slope of the perpendicular line is -6/5

Based on the number of years in a century, we can calculate that the 4 centuries before 1965 was 1565.

A century refers to a period of 100 years.

If we are looking for a period of 4 centuries therefore, this would be:

= 4 x 100

= 400 years

4 centuries before 1965 would therefore be:

= 1965 - 400

= 1565

In conclusion, the answer is 1565.

Find out more at https://brainly.com/question/17498856.

Answer: $4526

Step-by-step explanation:

Ratio of employees to cash

157:710528

Divide both sides by 157 to find how much 1 employees is paid

1: 4526

Answer:

710 582 - salary of all employees in a month

157 - number of employees

The monthly salary of each employee is 4526.

The 4526 is obtained by dividing the salary of all employees to their number which is 157.

The question is, "What is the salary of 1 employee assuming all are paid EQUALLY?"

To get it, just multiply 4526 into 12 (annually). So the answer is 54312

Answer:

d>-7

Step-by-step explanation:

Answer:

$3,466.12 Hope this helped.

Answer:

w=7.1

Step-by-step explanation:

Answer:

w=7.1

Alternate form

w= [tex]\frac{71}{10}[/tex] ,  w= 7[tex]\frac{1}{10}[/tex]

Answer:

1˚C

Step-by-step explanation:

First, you take 5 away from 6

5 = 5°C colder than in London

6 = The temperature in London

1ºC.     6 minus 5 equals 1.

and also that is quite easy for high school.

Answer:

Solutions: x = 7, y = 9;  or (7, 9)

Step-by-step explanation:

Given the following systems of linear equations:

7x - 8y = -23

7x - 7y = -14

Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.

    7x - 8y = -23

-   7x - 7y = -14    

             -y = -9  

Divide both sides by -1 to solve for y:

[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]

y = 9

Substitute the value of y into either one of the given equations to solve for x:

7x - 7y = -14

7x - 7(9) = -14

7x - 63 = -14

Add 63 to both sides:

7x - 63 + 63 = -14 + 63

7x = 49

Divide both sides by 7 to solve for x:

[tex]\frac{7x}{7} = \frac{49}{7}[/tex]

x = 7

Double-check whether x = 7 and y = 9 are valid solutions to the given system:

x = 7, y = 9:

7(7) - 8(9) = -23

49 - 72 = -23

-23 = -23 (True statement).

7(7) - 7(9) = -14

49 - 63 = -14

-14 = -14 (True statement).

Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).

Answer:

It will be 780

Step-by-step explanation:

explanation is that I multiply 65$ by 12

Answer:

65

Step-by-step explanation:

let's place 9 in place of p and 4 in place of q. I will use a star in place of that symbol for the sake of my convenience having to look for it, apologies.

[tex]9 \star 4 = 9^2-4^2 = 81-16 = 65[/tex]

Answer:

65

Step-by-step explanation:

9^2-4^2=65

Answer:

[tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]

Step-by-step explanation:

Average speed = distance/time

Average speed = [tex]\frac{9.6}{30} \frac{km}{min}[/tex] ; multiply by 60min/1hour

Average speed = [tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]

Answer:

$3.50

Step-by-step explanation:

111 is a sixth of 666 so its 21/6 which is 3 dollars 50 cents.

Answer:

b. y=1/2x-2

Step-by-step explanation:

We can determine b by looking at the y intercept, which, in this case is (0,-2). Now we know that b is -2. To find the slope, we need to look a rise over run which is 1/2 here (1 up, 2 right). So, our final answer is y=1/2x-2