How do I find the measure of the angle

Answer:

CM = 3

MG = 15

CG = 18

Step-by-step explanation:

CM = x

MG = x + 12

C to G equals 4x + 6

CG = 4x + 6

And CM + MG (CG) also equals  2x + 12

CM + MG = 2x + 12

4x + 6 = 2x + 12 (solve for x)

Subtract 2x from both sides.

2x + 6 = 12

Subtract 6 from both sides.

2x = 6

Divide by 2

x = 3

CM = (3)

MG = 3 + 12 = 15

CG = 4(3) + 6 = 18

Answer:

The answer to this question is given below in the explanation section.

Step-by-step explanation:

The number line helps in understanding the negative and positive numbers.

with the help of a number line, you can easily add and subtract positive and negative numbers.

As it is required to find the sum of -4+2 and -4+(-2) on the number line.

We know that

-4+2=-2

and

-4+(-2)=-6

now we want to know how to represent them on number line.

You know the number line, the center is the origin that is represented by zero, and the number that goes in the right direction are positive numbers and the numbers that go, in left direction are the negative number.

so first we point -4 at the left side of the origin of the number line. then the next number in this equation is +2 which means we have to move from -4 to two-point right on the number line, then we reach point -2 at the number line.

next is -4+(-2)

for this, we point at -4 on the number line, then the next sign is + that means we have to move forward but toward the left direction because of -2. as we left side two points on the number line from point -4 we will reach at -6. so -6 is the answer of this addition (sum).  

Answer: x=7

Step-by-step explanation:

To find the value of x, we can set a proportion since the problem states that "y varies directly with x".

[tex]\frac{13}{65} =\frac{x}{35}[/tex]              

Here, we see that the x is the numerator and y is the denominator.

[tex]\frac{13}{65} =\frac{x}{35}[/tex]              [cross multiply]

[tex]455=65x[/tex]          [divide both sides by 65]

[tex]x=7[/tex]

Now, we know that x=7. Logically, we know this is also correct because y=35 is less than y=65. This tells us that x has to be smaller than x=13.

Answer:

[tex]d=5[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(3-(-1))^2+(4-1)^2}[/tex]

[tex]d=\sqrt{(3+1)^2+(3)^2}[/tex]

[tex]d=\sqrt{(4)^2+9}[/tex]

[tex]d=\sqrt{16+9}[/tex]

[tex]d=\sqrt{25}[/tex]

[tex]d=5[/tex]

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

Read more on sequences here https://brainly.com/question/6561461

#SPJ1

Answer:

3

Step-by-step explanation:

Step 1: Define

f(x) = 6ˣ - 4x

g(x) = 1/2x + 10

f(2) is x = 2

g(-2) is x = -2

Step 2: Find f(2) and g(-2)

f(2) = 6² - 4(6)

f(2) = 36 - 24

f(2) = 12

g(-2) = 1/2(-2) + 10

g(-2) = -1 + 10

g(-2) = 9

Step 3: Find f(2) - g(-2)

12 - 9 = 3

Answer:

782

Step-by-step explanation:

its too easy

multiply 34 by 23 and answer is 782

Answer:

23 x 34 = 782

23

x34

92

690

782

The correct answer is 4

Explanation:

One of the ways to solve this mathematical problem is by using the rule of three because there are three pieces of information and one missing information. Below, I show the process step by step:

1. Consider the information provided and the missing information

6 students =  5 hours

     x           =  3  hours

2. Cross multiply to create a simple equation

5x = 18

3. Solve

x = 18 ÷ 5

x = 3.6

This means 3.6 students are required to plant the garden in 3 hours, and this can be rounded as 4 considering people or students cannot be counted using decimal numbers.

Answer:

2x + 3x = $25,000

5x = $25,000

x = $5,000

Amina will receive $10,000, and Mina will receive $15,000.

2:3

First, add 2 and 3 =5

The total money is 5

Then for Amina whose share is 2;

2/5 × 25,000 = GH$10,000.00

For Mina whose share is 3;

3/5 ×25,000 = GH$15,000.00

Therefore

Amina = GH$10,000.00

Mina=GH$15,000.00

Answer:

3

Step-by-step explanation:

it's square root is 223.

it has 3 digits as 2 2 3..

3 is answer..

Answer: Irrational number

If the decimal digits repeat forever, then the repeating decimal is considered rational.

For instance, 2/99 = 0.020202020202... where the "02" repeats forever

If we don't have such a pattern, then we cannot write the decimal as a fraction of two integers and the number is not rational. So it is irrational.

Answer: The stem would be 4 and the leaves would be 1 and 6

Step-by-step explanation:

The stem would be the first number so for example in 29 the stem would be 2 and the leaves would be 9. Once you do that to each number and put them in lowest to highest order you now have your stem and leaf plot

Answer:

circle

radius

Step-by-step explanation:

1 ) The diameter measures the circle at its largest point across. Another definition that is related to the diameter is the radius. It is the measurement from the center of the circle to its edge.

2) When a circle's diameter is 1, its circumference is π. When a circle's radius is 1—called a unit circle—its circumference is 2π.    -

Answer:

we need to find the circumference and diameter of circle.

Dimeter of circle = 2× Radius

Diameter of circle = 2 × 6

Diameter of circle = 6cm

Circumference of circle = 2πr

Circumference of circle = 2 × π × 6

Circumference of circle = 12π

Answer:

4

Step-by-step explanation:

there is 4 sections i know because s8 times 4 is 32 but if it has less than 40 it can't be 5 because 5 times 8 is 40 then it has to be 4

Answer:

2% sales tax rate

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

There are four scoops, and three of them are mini chocolate chips. 3/4=75/100. Therefore, 75%

Answer:

Step-by-step explanation:

c=2A

An equation is formed when two equal expressions. The correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that the cost to paint an area of 1,500 square feet is $3,000. Therefore, the equation that gives the relationship between c, cost and A, the area is,

cost = constant × area

c = k × A

$3000 = k × 1500 ft²

k = $2 per square feet

Now, the equation that gives the relationship between c and A can be written by substituting the value of k in the equation,

c = k × A

c = 2 × A

c=2A

Hence, the correct option is B.

Learn more about Equation here:

https://brainly.com/question/2263981

#SPJ2

Answer:

Approximately, there are 8 million insect species.

Step-by-step explanation:

Convert 64% into decimal

64%/100% = 0.64

To get the number of insect species, we just have to multiply the total species of organism by 0.64

Let n be the number of insect species

n = 12,400,000(0.64)

n = 7,936,000

n ≈ 8 million

Answer:

F = 160 pounds

B. 160 pounds

Step-by-step explanation:

F = k / l

Where,

F = amount of force needed

l = length of the lever

k = constant of proportionality

F = 240 when l = 24 inch

F = k / l

240 = k / 24

Cross product

240*24 = k

k = 5,760

Find F when l = 36 inch

Recall, k = 5,760

F = k / l

= 5,760 / 36

= 160

F = 160 pounds

The correct answer is B. 160 pounds

The variation is an inverse variation.; so, 160 pounds of force is needed for a 36-inch long lever

Given that F varies inversely as L, the variation is represented as:

[tex]F\ \alpha\ \frac 1L[/tex]

Express as an equation

[tex]F\ =\ \frac kL[/tex] -- where k represents the constant of variation

Make k the subject

[tex]k =FL[/tex]

When F = 240, L = 24.

So, we have:

[tex]k =240 \times 24[/tex]

[tex]k =5760[/tex]

Substitute 5760 for k in [tex]k =FL[/tex]

[tex]5760 = FL[/tex]

When L = 36, we have:

[tex]5760 = 36F[/tex]

Divide both sides by 36

[tex]160 = F[/tex]

Rewrite as:

[tex]F = 160[/tex]

Hence, 160 pounds of force is needed for a 36-inch long lever

Read more about variation at:

https://brainly.com/question/14251450

Answer:

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

Step-by-step explanation:

Just do this by the square root method

Answer: 0.705

Step-by-step explanation:

Answer:

0.705

Step-by-step explanation:

The value of the variable x for this problem is given as follows:

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

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 45º, we have that:

Applying the sine ratio, the value of x is given as follows:

sin(45º) = x/5

x = 5sin(45º)

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

A similar problem, also about trigonometric ratios, is given at brainly.com/question/24349828

#SPJ1

Answer:

C.

Step-by-step explanation:

1. Find the area part of the equation.

Area is base×height, so if we substitute 8 as the base and w as the height, A=8w

2. Find the perimeter of the equation.

Perimeter of a rectangle is 2(base + height), so in this case, it will be

P=2(8 + w), or C.

Answer:

x=5

Step-by-step explanation:

4x+2=2x+12

4x-2x=12-2

2x=10

x=10/2

x=5

Answer:

145.309

Step-by-step explanation:

So we want to find the midpoint of the two number: 145.809 and 144.809, what we want to do it to find the difference between the two numbers and then divide it by 2 so we can find the halfway point:

145.809 - 144.809 = 1

^ So from this, we just have to add half of 1 or 0.5 to the smaller number:

144.809 + 0.5 = 145.309

The elements of set C that are less than or equal to -11 are -11, -12, -13, -14, and -15.

Set C consists of negative integers greater than -15. In order to determine which elements of set C are less than or equal to -11, we need to identify the negative integers that fall within that range.

Starting with the number -11, we can check if it is included in set C. Since the set C includes negative integers greater than -15, and -11 is greater than -15, we can conclude that -11 is an element of set C.

Therefore, the elements of set C that are less than or equal to -11 are -11, -12, -13, -14, and -15.

For such more questions on Elements in Set C

https://brainly.com/question/28574826

#SPJ8

Answer:

Step-by-step explanation:

7000