solve for r. P=r+t+s

The geometric relationship, relationship between the measure of the labelled angles, and the value of x in each case are:

a. Geometric Relationship: vertical angles

Relationship of their measures: they are equal

Equation: (3x + 5) = (5x - 5)

x = 5

b. Geometric Relation: straight line angles

Relationship of their measures: their sum equals 180

Equation: (4x + 150) + 2x = 180

x = 5

a. (3x + 5) and (5x - 5) are vertical angles opposite to each other.

The geometric relationship is "vertical angles are congruent".

[tex](3x + 5) = (5x - 5)[/tex]

[tex]3x + 5 = 5x - 5[/tex]

[tex]3x - 5x = -5- 5\\\\-2x = -10[/tex]

[tex]x = 5[/tex]

b. (4x + 150) and 2x are angles that lie on a straight line.

Angles on a straight line are supplementary and will add up to give you 180 degrees.

The geometric relationship is therefore "angles on a straight line are supplementary".

[tex](4x + 150) + 2x = 180[/tex]

[tex]4x + 150 + 2x = 180[/tex]

[tex]6x + 150 = 180[/tex]

[tex]6x = 180 - 150\\\\6x = 30[/tex]

Divide both sides by 6

[tex]x = 5[/tex]

Therefore, the geometric relationship between the given measures of the angles, their equation from the relation and the x value of each are:

a. Geometric Relationship: vertical angles

Relationship of their measures: they are equal

Equation: (3x + 5) = (5x - 5)

x = 5

b. Geometric Relation: straight line angles

Relationship of their measures: their sum equals 180

Equation: (4x + 150) + 2x = 180

x = 5

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one fifth of the boys in the classroom have brown hair.

Omar can make 14 whole dumplings. You change 2 3/4 cups to an improper fraction ( multiply the denominator and add the numerator ) and you get 11/4. Since you need 3/16 cups for one dumpling you have to find the greatest common denominator which is 16. You multiply 4 by 11 to get the numerator and end up with 44/16. Since you need 3/16 for one whole dumping you divide 44 by 3 and get 14.6 repeating. You cannot have a fraction of a dumpling so you round down and get the answer 14.

Answer:

g(3.09)=C

Number of Grams of Cheese times 3.09 will = Cost

Answer:

355,000

Step-by-step explanation:

the 6 is greater than 5, so it would make the 4 a 5

Question: What is the experimental probability of landing on green?

I think the best answer would be,

This is because,

They got $35 less than what they paid for in the beginning

2x + 50 = 4x + 25

To isolate x, first subtract 50 from both sides of the equation.

2x + 50 - 50 = 4x + 25 - 50

2x = 4x - 25

Then, subtract 4x from both sides.

2x - 4x = 4x - 25 - 4x

-2x = -25

Lastly, divide both sides by -2.

x = 12.5

Check work

Substitute 12.5 for every x in the equation.

2(12.5) + 50 = 4(12.5) + 25

25 + 50 = 50 + 25

75 = 75

As you can see, the statement is true; 12.5 is correct.

x = 12.5 or x = [tex]12\frac{1}{2}[/tex]

When rotating a point 180 degrees about the origin, you are simply inverting the points.

(5, -2) rotated 180 degrees results in (-5, 2).

To rotate point B(5, -2) 180 degrees about the origin, its image would have coordinates (-5, 2).

To rotate a point about the origin, we can use the formula (x', y') = (-x, -y). In this case, point B has coordinates (5, -2). To rotate it 180 degrees about the origin, we substitute the coordinates into the formula:

(x', y') = (-5, 2)

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We know: 9 = 3²

Therefore [tex]\dfrac{1}{9}=\dfrac{1}{3^2}[/tex]

We know the property:

[tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]

Therefore [tex]\dfrac{1}{9}\cdot3^x=\dfrac{3^x}{3^2}=3^{x-2}[/tex]

We must find f(5). Put x = 5 to the equation of the function:

[tex]f(5)=3^{5-2}=3^3=3\cdot3\cdot3=27[/tex]

The value of f(5) is 27 of function f(x) = 1/9(3)ˣ

The function is defined as mathematics expression defines a relationship between one variable and another variable. When we say that a variable quantity y is a function of a variable quantity x, we indicate that y depends on x and that  value of x determines what value of  y  will be. This relationship can be expressed as follows: y = f (x)

An exponential function is defined as function has a constant as its base and a variable as its exponent.

In mathematical form an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function.

For the function f defined by f(x) given as :

f(x) = 1/9(3)ˣ ,

To determine the value of f(5).​

f(x) = 1/9(3)ˣ,

Substitute the value of x = 5 in the function,

f(5) = 1/9(3)⁵ ,    [ 3⁵ = 243 ]

f(5) = 1/9(243),

f(5) = 27

Hence, the value of f(5) is 27.​

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answer: second choice

why?: if muliply with the signs, you would get a negative product for the second choice. when you do it with the others, they come out with a positive product or 0 as the answer.

hope this helps! ❤ from peachimin

So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.

Understanding that we know the shadow lengths, we can turn these into a fraction such as so:

4ft/20ft.

Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.

Your fraction for that would look like:

5.5ft/X

Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.

Now we can solve.

4ft/20ft =5.5ft/X

We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:

4x = 110ft

This is a simple one step equation. Divide both sides by 4 to get your answer.

x= 27.5ft.

This means your Utility pole's height is 27.5ft.

To find the height of the utility pole, set up a proportion with the utility worker's height and shadow length as one ratio, and the utility pole's height and shadow length as the other ratio. Solve the proportion by cross-multiplying and simplifying the equation. The height of the utility pole is 27.5 feet.

To find the height of the utility pole, we can set up a proportion with the utility worker's height and shadow length as one ratio, and the utility pole's height and shadow length as the other ratio. Let's call the height of the utility pole 'x'. The proportion can be written as:

(5.5 ft) / (4 ft) = x / (20 ft)

Cross-multiplying, we get:

(5.5 ft) * (20 ft) = 4 ft * x

Simplifying, we find:

x = (5.5 ft * 20 ft) / 4 ft = 27.5 ft

Therefore, the height of the utility pole is 27.5 feet.

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Hello there!

The answer should be the last option D.

This question is so easy to me.

[tex]9=w-14[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓

First you had to switch sides of the equation.

[tex]w-14=9[/tex]

Then you add 14 from both sides of the equation.

[tex]w-14+14=9+14[/tex]

Simplify it should be the right answer.

[tex]w=23[/tex]

Answer⇒⇒⇒w=23

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

To calculate simple interest, use the formula Simple Interest = Principal × Rate × Time. If the rate is increased by 1%, the simple interest will increase. If the time is increased by 1 year, the simple interest will also increase.

To calculate the simple interest on a deposit, you can use the formula:

Simple Interest = Principal × Rate × Time

Now let’s address the first part of the question. If the rate is increased by 1%, the new rate would be 3% + 1% = 4%. Using the same formula, the simple interest would now be:

Simple Interest = $1200 × 0.04 × 5 = $240

Now, let’s move on to the second part of the question. If the time is increased by 1 year, the new time would be 5 years + 1 year = 6 years. Using the same rate of 3%, the simple interest would now be:

Simple Interest = $1200 × 0.03 × 6 = $216

The answer to this problem is D

Answer: Hello!

I think that 1.1 x 103 is maybe bad written, and you wanted to write 1.1x10^3, i will solve this for this last one.

We are looking for a number that his four thousand times larger than 1.1x10^3, this number is equivalent to 4000*1.1x10^3

and we know that 4000 = 4x10^3, then we are looking for:

(4x10^3)*(1.1x10^3) = (4*1.1)x10^(3 + 3) = 4.4x10^6

So the correct answer is the option C : 4.4x10^6

They should subtract $ -20 because they went behind on how much they planned to save. Now this question can be tricky because some might say they lost 0 because they already had an extra $20 but it is only asking for the month of February and is only asking for each month not the entire year.

Answer:

-$20

Step-by-step explanation:

We are given that

A family wants to save each month =$100

In January, they saved=$120

They recorded at the end of the month January=+$20

In February, they saved=$80

We have to find that what should they record at the end of month February if the saved $80.

Family wants to save each month=$100

But in February,

The family saved only=$80

Therefore, they recorded at the end of month February=80-100=-$20

Hence, they should record -$20 for the month of February if they saved $80 . Because they  did not achieve their target .They have $20 lack from  their monthly target.

Answer:

the answer is 50

Step-by-step explanation:

first you plug in the x and y in the equation, making it 6(7)=-4(-2)           then, you multiply the numbers together, making the equation 42+8.                                                    finally, you add those numbers together, giving you the answer 50

Answer: B. Incenter.

Step-by-step explanation:

1. The incenter of a triangle is define as the point of intersection of the angle bisectors.

2. The angle bisectors are define as the lines that cut the angles of the triangle and divide them into two equal parts.

3. Then, based on the information shown above, L is the point where the angle bisectors of the triangle HJK meet.

4. Therefore, the term that describes the point L of the triangle HJK is the option B, which is: Incenter.

Thank you that is also the answer for Apex too.  

2 1/8 +2 1/8 works I think.

2 1/8 plus 2 1/8 equals 4 1/4.

The perimeter of the figure is 82.275cm.

In order to find this, we must first find the length of the arc portion. For this we will use circumference of a circle formula and then cut the amount in half (since it is a semi circle). The formula is below:

2[tex]\pi[/tex]r = C

We know the radius is 9 since it is half of the 18 that is the full diameter.

2[tex]\pi[/tex](9) = C

28.275 = C

Now we add that to the 3 other sides, which are all 18.

28.275 + 18 + 18 + 18 = 82.275

Answer:

a ≤ 20/3

Step-by-step explanation:

Subtract 4 from both sides, obtaining:

-3a ≥ -20.  Dividing both sides by -3, we get a ≤ 20/3.

Note that because this is an inequality, and because we've divided all terms by a negative number, we must change the direction of the inequality symbol from ≥ to ≤.

Answer:

gb

Step-by-step explanation:

gsxgb

1/2 divided by 4 would become 1/2 times 1/4 (Since you change the division sign into multiplication and you'd flip the 4 into 1/4), so the final answer would be 1/8

Hello there!

This question is so super easy to me.

1/2÷4

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓

First you had to used apply fraction rule.

[tex]\frac{1}{2*4}[/tex]

Then multiply by the numbers.

[tex]2*4=8[/tex]

[tex]=\frac{1}{8}[/tex]

Answer⇒⇒⇒1/8

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Answer:

Step-by-step explanation:

Option A is the correct option as X is let smallest integer in both. solution is given in attachment.

3(x + 7) ≥ 2x + 6

Distributive property.

3x + 21 ≥ 2x + 6

Subtract 2x from both sides.

x + 21 ≥ 6

Subtract 21 from both sides.

x ≥ -15

The solution to the inequality is [tex]\(x \geq -15\)[/tex].

To translate the given statement into an inequality, you can follow these steps:

1. **Translate the first part of the sentence:**

  "Three times the sum of x and seven" can be written as \(3(x + 7)\).

2. **Translate the second part of the sentence:**

  "The sum of two x and six" can be written as \(2x + 6\).

3. **Combine the translated parts with the inequality:**

  "Three times the sum of x and seven is greater than or equal to the sum of two x and six" can be translated into the following inequality:  

[tex]\[3(x + 7) \geq 2x + 6\][/tex]

4. **Solve the inequality for x:**

  Distribute the 3 on the left side:  

[tex]\[3x + 21 \geq 2x + 6\][/tex]

  Move the \(2x\) term to the left side by subtracting \(2x\) from both sides:

[tex]\[3x - 2x + 21 \geq 6\][/tex]

  Simplify:

[tex]\[x + 21 \geq 6\][/tex]

  Move the 21 to the right side by subtracting 21 from both sides:

[tex]\[x \geq -15\][/tex]

So, the solution to the inequality is \(x \geq -15\). This means any value of \(x\) greater than or equal to -15 will satisfy the given inequality.

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31=2y-5

Add 5 on both -5+5 which cancels out and 31+5 which is 36 and then divide 36 by 2 which equals to 18.

So y=18 hope this helped (':

Hey!

[tex]31=2y-5[/tex]

First, this problem should be switch sides.

[tex]2y-5=31[/tex]

Secondly, add 5 from both sides of equation.

[tex]2y-5+5=31+5[/tex]

Then, simplify

[tex]2y=36[/tex]

In fact, you had to divide 2 from both sides of equation.

[tex]\frac{2y}{2}=\frac{36}{2}[/tex]

Finally, simplify

[tex]y=18[/tex]

And the answer is [tex]y=18[/tex]

I hope this helped!

Thank you for posting your question.

-Charlie