7. Using the diagram below, find the length of segment 5G
3x+1
6%
X+6
t
S
А G
w

Answer:

x=5 2/11

Step-by-step explanation:

its either 5 2/11 or 57/11

The value of m can be found by using the properties of midpoints and their relationship to the sides of the figure.

When G, d, and f are midpoints of their respective sides, it forms a special type of quadrilateral known as a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Additionally, the opposite angles are also congruent.

Let's consider the given situation. G, d, and f are midpoints of their respective sides. This means that segment GD is parallel and congruent to segment GF, and segment DF is parallel and congruent to segment dG.

Since opposite sides of the parallelogram are parallel, we can conclude that angle G is congruent to angle f, and angle d is congruent to angle D.Now, let's focus on the interior angles of the parallelogram. The adjacent angles in a parallelogram are supplementary, which means they add up to 180 degrees.

Angle G and angle d are adjacent angles, so they are supplementary. Therefore, angle G + angle d = 180 degrees.Similarly, angle f and angle D are adjacent angles, so they are also supplementary. Thus, angle f + angle D = 180 degrees.

We know that angle G is congruent to angle f and angle d is congruent to angle D. So, we can substitute the congruent angles in the above equations:

Angle G + angle d = 180 degrees (equation 1)

Angle f + angle D = 180 degrees (equation 2)

Since angle G and angle f are congruent, we can rewrite equation 1 as:

Angle G + angle G = 180 degrees

2 * angle G = 180 degrees

angle G = 90 degrees

Similarly, since angle d and angle D are congruent, we can rewrite equation 2 as:

Angle D + angle D = 180 degrees

2 * angle D = 180 degrees

angle D = 90 degrees

Hence, the measure of angle m" is 90 degrees.

In a parallelogram, the diagonals bisect each other, and the diagonals also divide the parallelogram into four congruent triangles. This property is useful in proving various relationships and properties of angles and sides within a parallelogram. Understanding the properties and characteristics of parallelograms can help in solving various geometric problems and proofs.

Learn more about Parallelogram

brainly.com/question/32033686

#SPJ11

Answer:

1/8

Step-by-step explanation:

(2 × 1/2)³/(4 × 2) =

1³/8 =

1/8

The simplification of the expression would be; 1/8

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; used to indicate the logical syntax's order of operations and other features.

We are given the expression as; (2 × 1/2)³/(4 × 2)

Simplify the expression ;

(2 × 1/2)³/(4 × 2)

1³/8 = 1/8

To know more about an expression follow;

brainly.com/question/19876186

#SPJ1

Answer: 7 pizza rolls and 2 sliders

Step-by-step explanation:

250(2)=500 65(7)=455 totals to 955

and 7+2=9

Answer: 105

Step-by-step explanation: If the car is going 63/30 is 2.1 which is the miles/minute, then to get to 50 miles you’d have to multiply 2.1 x 50 = 105 miles in 50 minutes.

Her employer's contribution to the 401(k) was $2,500.

Given that for the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions, and Pam's salary is $30,000 , and last year, she contributed $4000 to her 401(k) plan, to determine what was her employer's contribution to the 401(k) the following calculation must be made:

Therefore, her employer's contribution to the 401(k) was $2,500.

Learn more about calculus in https://brainly.com/question/22810844

Answer: C. $2250

Step-by-step explanation: took the quiz.

Answer:

\(x = - 3 + - \sqrt{13} \)

Step-by-step explanation:

formula is x=-b+-sqrt b^2-4ac/2a

Answer:

(5/9)^8 = 5^8/9^8

answer; B

Reason:

We apply the exponent 8 to each term inside. Think of it like the distribution rule in a way.

The rule is \(\displaystyle \left(\frac{a}{b}\right)^c = \frac{a^c}{b^{c}}\)

So \(\displaystyle \left(\frac{5}{9}\right)^8 = \frac{5^8}{9^{8}}\)

The reason this works is because we have 8 copies of (5/9), so we'll have 8 copies of "5" in the numerator multiplied together. Also, we'll have 8 copies of "9" in the denominator multiplied together.

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

for similar questions on triangles.

https://brainly.com/question/1058720

#SPJ8

Answer:

TN/TS=NM/RS

\( \frac{240}{120} = \frac{x}{70 } \\ 120x = 16800 \\ x = 140\)

Answer:

- 20 feet

Step-by-step explanation:

Answer:

(4+2)(6-2)

24+8+12-4

44-4

40

Answer:

youre welcome- have a nice day

Step-by-step explanation:

One ounce of food contains average  about 28 grams of carbs.

One of the three macronutrients that the body needs for energy, carbohydrates can be found in a wide variety of foods. Sugar, starch, and fiber are the three elements that make up carbohydrates. Weight is measured in ounces, which weigh 28.35 grams. As a result, one ounce of food contains about 28 grams of carbs. Carbohydrates are crucial for supplying the body with the 4 calories per gram of energy it needs to function, fuel physical activity, and help with digestion. Foods like fruits, vegetables, grains, nuts, and dairy products all naturally include ounces of carbs. It is crucial to remember that there are several kinds of carbs, some of which are healthier than others.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

The complete question is

How many grams of carbs in an ounce of food ?

Answer:

part a: The slope of the function represents the rate of change of the balance in the bank account per day. To find the slope, we can use the formula: slope = (change in y)/(change in x).

Using the values from the table, we have: slope = (720-600)/(3-0) = 120/3 = 40. Therefore, the slope of the function g(x) is 40.

part b: Using the point-slope form of the equation of a line, we can write: g(x) - 600 = 40(x-0). Simplifying, we get: g(x) = 40x + 600. This is the slope-intercept form of the equation, where the y-intercept is 600 and the slope is 40.

To write in standard form, we can rearrange the equation as: -40x + g(x) = 600.

part c: Using function notation, we can write the equation as: g(x) = 40x + 600.

part d: To find the balance in the bank account after 7 days, we can use the equation we found in part c and substitute x = 7: g(7) = 40(7) + 600 = 880. Therefore, the balance in the bank account after 7 days is $880.

To know more about rate of change refer here

https://brainly.com/question/29518179#

#SPJ11

Answer:

A

Step-by-step explanation:

Answer:

I'm pretty shure it A. based on which way the graph moves and the direction iit's going in

Answer:

she will need to buy 360 candy canes :>

merry christmas! and brainliest pls i needit and i hate to beg

Step-by-step explanation:

Answer: The answer is 360

Step-by-step explanation: 15 x 24 = 360

Answer:

Step-by-step explanation:

In order to calculate the volume of a triangular prism you need 2 things:

The triangles area and the prism's height.

Any prism's volume can be calculated by multiplying its base area with its height.

The Area of a triangle can be calculated in different ways.

The most used and "normal" way is:

(width * height) / 2

Another way is by using herons formula, which looks like this:

a, b, c = different sides of the triangle (length)

s = (a + b + c) / 2

a = \(\sqrt{s (s-a)(s-b)(s-c)}\)

When you have the prism's base area (\(b_{a}\)) you just have to multiply:

\(b_{a}*h=V\)

(V = volume)

If you have any questions, just ask them in the comments below.

Have a good day! (●'◡'●)

Hypotheses are used to make predictions about data. They help identify what the data analyst wants to confirm or disprove.

Supervisor asks Junior Data Analyst to present her two hypotheses for a data analysis project.

We must explain the purpose of your hypothesis.

In other words, a type of statistical inference called

hypothesis testing uses data from a sample to infer population parameters or population probability distributions. First, an educated guess is made about the parameter or distribution.

Here, the hypothesis goal is to make inferences about the

data. Data analysts use them to decide what to prove or disprove.

Learn more about the hypothesis here.

brainly.com/question/17099835

#SPJ4

It will take approximately 1 year and 4 months (16 months) for $1666.00 to accumulate to $1910.00 at 4% p.a. compounded interest quarterly.

To calculate the time it takes for an amount to accumulate with compound interest, we can use the formula for compound interest:

A = P(1 + r/n)\(^{nt}\),

where A is the final amount, P is the principal amount, r is the interest rate, n is the number of compounding periods per year, and t is the time in years. In this case, the initial amount is $1666.00, the final amount is $1910.00, the interest rate is 4% (or 0.04), and the compounding is done quarterly (n = 4).

Plugging in these values into the formula, we have:

$1910.00 = $1666.00\((1 + 0.01)^{4t}\).

Dividing both sides by $1666.00 and simplifying, we get:

1.146 = \((1 + 0.01)^{4t}\).

Taking the logarithm of both sides, we have:

log(1.146) = 4t * log(1.01).

Solving for t, we find:

t = log(1.146) / (4 * log(1.01)).

Evaluating this expression using a calculator, we obtain t ≈ 1.3333 years.

Since we are asked to state the answer in years and months, we convert the decimal part of the answer into months. Since there are 12 months in a year, 0.3333 years is approximately 4 months.

Therefore, it will take approximately 1 year and 4 months (16 months) for $1666.00 to accumulate to $1910.00 at 4% p.a. compounded quarterly.

Learn more about compound interest visit

brainly.com/question/14295570

#SPJ11

Step-by-step explanation:

Put the logs on the same side.

\( log_{2}(7y - 1) - log_{2}(y - 1) = 3\)

Using log rules, whenever you separate two logs using subtraction and they have the same base, we can write them as one log where they are a rational function

\( log_{2}( \frac{7y - 1}{y - 1} ) = 3\)

Let both of these expression be the power of a exponent with base 2.

\(2 {}^{ log_{2}( \frac{7y - 1}{y - 1} ) } = 2 {}^{3} \)

The base 2 and log base 2 cancel out

\( \frac{7y - 1}{y - 1} = 8\)

When y =1, we will get undefined so y cannot be 1

However, multiply both sides by y-1

\(7y - 1 = 8(y - 1)\)

\(7y - 1 = 8y - 8\)

\(7 = y\)

To calculate the perimeter of the figure, I first calculated the area and the breadth of each rectangle which is 4/18m2 and 1/9m respectively.

The perimeter of the figure can be calculated by adding the perimeter of each rectangle.

Perimeter = 4 x (2 x (1/9 m) + 2 x (4/18 m))

Perimeter = 8 x (1/9 m + 4/18 m)

Perimeter = 104/18 m

Perimeter = 5.78 m

The figure I made up consists of four identical rectangles that form a square at the center. To calculate the perimeter of the figure, I first calculated the area and the breadth of each rectangle which is 4/18m2 and 1/9m respectively. As the four rectangles are identical, I multiplied the perimeter of one rectangle by 4 to get the perimeter of the entire figure. Perimeter of one rectangle is calculated by adding the length and breadth of the rectangle. I multiplied the sum of the length and breadth of a rectangle (1/9 m + 4/18 m) by 8 to get the perimeter of the figure. Finally, I simplified the result to get the perimeter of the figure which is 5.78 m.

Learn more about area here

https://brainly.com/question/13194650

#SPJ4

Answer: \(f^{-1}(1)+f(-14)=20\)

\(f^{-1}(-2)=10\)  

Step-by-step explanation:

The given table :

x: -14,-7,-12,9,10,-2

f(x):11,-12,5,1,-2,13

Since f is invertible ( given) , then \(f^{-1}(x)\)  exists.

Now , from table \(f^{-1}(1)=9\)  [ x= 9 corresponding to f(x) =1]

\(f(-14)=11\)                            [ f(x) = 11 corresponding to x=-14]

then, \(f^{-1}(1)+f(-14)=9+11=20\)

So, \(f^{-1}(1)+f(-14)=20\)

Also, x= 10 corresponding to f(x) =-2, then

\(f^{-1}(-2)=10\)  

Answer:

Step-bThe FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.

The 20 meter pacer test will begin in 30 seconds. Line up at the start.

The running speed starts slowly, but gets faster each minute after you hear this signal.

A single lap should be completed each time you hear this sound.

Remember to run in a straight line, and run as long as possible.

The second time you fail to complete a lap before the sound, your test is over.

The test will begin on the word start.

On your mark, get ready, start.

[Level 1]

Feel it

One

Two

Three

Four

Five

Six

Seven; end of level one

[Level 2]

Eight

Feel it

Nine

Ten

Eleven

Twelve

Thirteen

Fourteen

Fifteen; end of level two

y-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

1) Comparing the two equations, we see that the multiplier 'x' is missing from both sides in equation B. That is, it has been divided out:

  (5x)/x = (3x)/x   ⇒   5 = 3

Both sides have been divided by x.

__

2) The equations are equivalent if and only if x ≠ 0. Unfortunately, in equation A, the only solution is x = 0. For equations like the one in A, it is better to subtract one side from both:

  5x -3x = 3x -3x   ⇒   2x = 0

Now, dividing by 2, it is clear that the solution is x = 0.

Equations A and B are not equivalent, because the condition on the division property of equality was violated (you cannot divide by 0).

Answer:

y ≈ 18.3

Step-by-step explanation:

Using the sine ratio in the right triangle

sin41° = \(\frac{opposite}{hypotenuse}\) = \(\frac{12}{y}\) ( multiply both sides by y )

y × sin41° = 12 ( divide both sides by sin41° )

y = \(\frac{12}{sin41}\) ≈ 18.3 ( to 1 dec. place )

The locker that has more storage in the given problem is:

The new locker

The volume of a cuboid is expressed as:

V = l * w * h

where:

w is width

l is length

h is height

Thus:

Volume of old locker = 3 * 3 * 6 = 54 ft²

Volume of new locker = 2¹/₂ * 4 * 5¹/₂

= ⁵/₂ * 4 * ¹¹/₂ = 55 ft²

Thus, it is clear that the new locker has a larger storage.

Read more about cuboid volume at: https://brainly.com/question/46030

#SPJ1