Mathematics Middle School

The supplement of an angle has a measure that is 20 degrees more than twice the measure of an angle , x degrees. Which equation can be used to find the value of x?

A) 2x + 20 = 90
B) 2x + 20 = 180
C)(2x + 20) + x = 90
D)(2x + 20) + x = 180

Please Help Me

Answers

Answer 1
Selection D is appropriate.

_____
I would write it differently.
.. 180 -x = "supplement of an angle"
.. 2x +20 = "20 more than twice the measure"
These are said to be equal, so I would write it as
.. 180 -x = 2x +20
Of course, adding x to both sides of this equation makes it
.. (2x +20) +x = 180 . . . . . . matches selection D

Related Questions


The gray area is the sidewalk. The area of the sidewalk is ___________ square units.
A) 48
B) 56
C) 72
D) 84

Answers

So the area of the side walk is 12*10=120 but you have to minus the area of the grass which is 6*8=48 so 120-48=72
The answer is C: 72

Answer: 72

Step-by-step explanation: i did it a got it right

Please do either 1,2,3 or 4

Answers

1. right 3 units, up 2 units
3. a)no because the 3 on the outside of the parentheses shifts the function up 3 not left 3
4. a) dilation
b) shift left or right
c) shift up or down


Suppose you have to use right-triangle trigonometry to find the apothem of a regular polygon. Which is greater, the apothem or the radius of the polygon?

Answers

Final answer:

In a regular polygon, the apothem is the distance from the center to the midpoint of a side, whereas the radius is the distance from the center to a vertex. Because the radius is the hypotenuse in a right triangle formed within the polygon, as per the Pythagorean theorem, it is always longer than the apothem.

Explanation:

In the context of a regular polygon, the apothem is defined as the distance from the center of the polygon to the midpoint of any side. The radius, on the other hand, is defined as the distance from the center to any of the vertices. Since a regular polygon's sides and angles are equal, one can observe that its apothem is always smaller than its radius.

In order to illustrate this, consider a right triangle formed by the radius, the apothem, and half the length of a side. By using the Pythagorean theorem (a² + b² = c²), we know that the radius (or hypotenuse) is the longest side, and therefore greater than the apothem (one of the perpendicular sides).

Simply put, the radius is always greater than the apothem in a regular polygon.

Learn more about Geometry here:

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The radius of a regular polygon is always greater than the apothem.

To determine if the apothem or the radius of a regular polygon is greater, we can use a right-triangle trigonometry approach. Here's a step-by-step explanation:

Consider a regular polygon with n sides inscribed in a circle. The circle's radius is r, and this radius is the hypotenuse of a right triangle formed by the radius, the apothem a, and half the length of one side of the polygon.The apothem is the perpendicular distance from the center of the polygon to the midpoint of one of its sides.Since the hypotenuse of a right triangle is always the longest side, the radius (r) is always greater than the apothem (a) according to the Pythagorean theorem.For example, in a regular hexagon, the radius is twice the apothem, clearly illustrating this relationship.

Therefore, in any regular polygon, the apothem is always less than the radius, as the hypotenuse (radius) is the longest side in the right triangle formed by the apothem and half the length of a side of the polygon.

Part 1!

I REALLY, REALLY NEED HELP ON THIS QUESTION!!!!!!!! 50 POINTS!!!!!!!!! WILL GIVE THE BRAINLIEST TO CORRECT ANSWER!!!!!!!!!!!!! nth term
__________________________________________________________________________________________
Look at the picture!

*******If you don't answer with correct answers or give something absurd or don't give enough details, your answer WILL BE REPORTED AND DELETED AND YOU WILL LOSE THE POINTS FOR THIS QUESTION!!!!!

Answers

1.  We have to find the fifth term of f(n) = 7 - 4(n - 1). 
That means x = 5. Substitute 5 into the equation for x. 
f(n) = 7 - 4(5 - 1) 
Subtract 5 - 1. 
f(n) = 7 - 4(4) 
Multiply 4 by 4. 
f(n) = 7 - 16 
Subtract 16 from 7. 
f(n) = -9 
The answer is D. 

2. Since we have to find the first 4 terms, we have to solve for x = 1, 2, 3, & 4. 
Multiply 1, 2, 3, and 4 by 6. We now have: 
f(x) = 6 - 25   f(x) = 12 - 25   f(x) = 18 - 25   f(x) = 24 - 25 
Subtract 25 from the first term: 6, 12, 18, and 24. 
f(x) = -19   f(x) = -13   f(x) = -7   f(x) = -1 
The answer is C. 

3. Now, we have to find the first 3 terms of f(x) = 10(2)^x.  So x is 1, 2, & 3. 
Raise 2 to the powers of 1, 2, and 3. The equations are now: 
f(x) = 10(2)   f(x) = 10(4)   f(x) = 10(8) 
Then multiply 10 by the three terms: 2, 4, and 8. 
f(x) = 20   f(x) = 40   f(x) = 80 
The answer is A. 

4. Find the 21st term of f(n) = 2 + 9(n - 1). Substitute 21 for n. 
f(n) = 2 + 9(21 - 1) 
Subtract 1 from 21. 
f(n) = 2 + 9(20) 
Multiply 9 by 20. 
f(n) = 2 + 180
Add 2 to 180. 
f(n) = 182 
The answer is B. 

5. Which sequence is described by f(n) = 2(3)^x-5. 
This is the only one which I'm not sure how to solve. Since I don't know, I won't answer it because I don't want to give you the wrong answer to the question, sorry about that. 

6. The ninth term in f(n) = 384(1/2)^n-1. Put 9 in for n & subtract 1 from 9. 
f(n) = 384(1/2)^8 
Raise 1/2 to the power of 8.
f(n) = 384(1/256) 
Multiply 1/256 by 384. 
f(n) = 384/256 
Reduce the fraction & make it a mixed number. 
f(n) = 1 1/2 

Hope this helped!

Answer:

thats harsh I`m sure you can afford to miss a few questions just be glad he helped you and if you cant the you should have studied harder

Step-by-step explanation:

PLEASE PLEASE MATH HELP WILL GIVE BRAINLIEST!!!
Angle K in △MKL is a right angle.

What is the value of tan M ?


8/15

8/17

15/8

15/17

Answers

The correct answer is:  [C]:  " 15/8 " .
_____________________________________________________
Remember:

" SOH CAH TOA " ; 
_____________________________________________________
  tan = opposite / adjacent; 

  tan "M" = 15/8  ;  which is:  Answer choice:  [C]:  " 15/8 " .
_____________________________________________________

there is a line whose slope is 1/6 and whose y-intercept is 4. what is its equation in slope intetecept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

y= x +

Answers

your equation will be y = 1/6x + 4

this is in slope-intercept form which is y = mx + b

m is the slop and b is the y-intercept

what is equivalent to ^3√8^x

Answers

Hey there :)

[tex] \sqrt[3]{8}^x [/tex] 

When writing in fraction - exponent form:
It will be [tex] \frac{power}{root} [/tex]

[tex]8^ \frac{x}{3} [/tex]

Your answer will be the third option
Okay, sis Hiba. Look my correction.

Here, you are trying to write a square root into fraction. To do that, you just have to apply the formula :

[tex]x ^\frac{power}{root} [/tex]

Then, here it gives [tex]8 ^\frac{x}{3} [/tex].

In short, the answer would be the option C.

Hope this helps !

Photon


Which expression is equal to 5p? p + p + p + p + p 4p + 1 p + 5 p3 + p2

Answers

Hello,

The answer will have to be option D p3+p2.

Reason:

Using the method "combine like terms", you would combine 4p and 1p to get 5p which means the answer is option D.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

The expression equal to 5p is Option A: p + p + p + p + p. Other options do not correctly represent the sum of five instances of p.

The correct expression that is equal to 5p is A. p + p + p + p + p. Let's break it down:

A. p + p + p + p + p adds the variable p five times, which by definition equals 5p.

B. 4p + 1 simplifies to 4p + 1, which is not equal to 5p because it includes an additional constant term.

C. p + 5 represents the variable p plus the number 5, which is not the same as multiplying p by 5.

D. p3 + p2 is a polynomial with different powers of p and does not simplify to 5p.

Therefore, option A is the correct answer.

Which expression is equal to 5p?

A. p + p + p + p + p

B. 4p + 1

C. p + 5

D. p3 + p2

The area of rectangle A is 11/12 square meters.The area of rectangle B is 8/12 square meters.How much larger is rectangle A?

Answers

Answer:
Rectangle A is 1/4 m² larger than rectangle B

Explanation:
We are given that:
Area of triangle A = 11/12 m²
Area of rectangle B = 8/12 m²

To know how much larger is rectangle A than rectangle B, all we have to do is subtract the area of rectangle B from rectangle A as follows:
Difference in area = 11/12 - 8/12 = 3/12 = 1/4 m²

This means that rectangle A is 1/4 m² larger than rectangle B.

Hope this helps :)

relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. Last, you must turn and run back to the starting line. What is the distance from Checkpoint B to the starting line?

Answers

Same thing here with Pythagorean's theorem, we are just going to rearrange it to find something else. Let's assume that from the start to check point B is A. Let's solve the theorem for A then.
A^2+B^2=C^2 (subtract B^2 from both sides)
A^2=C^2-B^2 (now take the square root of both sides) 
A=[tex] \sqrt{C^2-B^2} [/tex]

Add in your numbers now and you get
A=[tex] \sqrt{20^2-12^2} [/tex]
A= 16 yards

The distance from checkpoint B to the starting line for the given right-angle triangle will be 16 yards.

What is a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

As per the given right angle triangle,

Suppose the missing length is x.

By Pythagoras' theorem,

x = √(20² - 12²)

x = √(400 - 144) = √256 = 16

Hence "The distance from checkpoint B to the starting line for the given right-angle triangle will be 16 yards".

For more information about triangles,

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Draw Three triangles One equilateral one isosceles and one scalene label Each and explain how you classified each triangle

Answers

Here is a picture of each.

Here are the definitions of each:
1. Equilateral- this triangle has side lengths that are all the same (congruent).
2. Isosceles-this triangle has exactly 2 sides that are the same length(congruent).
3. Scalene- this triangle has no sides that are the same length.

I’m not sure what the answer is

Answers

Set up a pair of fractions:
[tex] \frac{500}{1} = \frac{828}{x} [/tex]
500x = 828 (cross multiply)
x = 1.656 meters high should be the model (1.7 rounded)

What is 4(0.5x + 2.5y - 0.7y - 1.3y + 4) simplified?

Answers

4(0.5x + 2.5y - 0.7y - 1.3y + 4)
multiply 4 by all in parentheses

(4*0.5x)+(4*2.5y)+(4*-7y)+(4*-1.3y)+(4*4
=2x+10y-28y-5.2y+16

combine like terms
=2x-23.2y+16

ANSWER:
Expression simplified 2x-23.2y+16

Hope this helps! :)

3 + d < 3 – d. Solve

Answers

For the sake of solving, temporarily replace the < sign with an = sign. Solve as you normally would.
3 + d = 3 - d
add d to both sides
3 + 2d = 3
Subtract 3 from both sides
2d = 0
Now replace the = sign with the < sign again.
2d < 0
Divide both sides by 2 to get your final answer.
d < 0
If you are ever uncertain with an answer to an inequality, the best thing to do is plug in a random number! (In this case, make sure the number is less than 0)
3 + (-1) < 3 - (-1)
3 - 1 < 3 + 1
2 < 4
(-1) is less than zero, and when plugged into the inequality the values of the left side is less than the value of the right side. This shows that d IS < 0.

The unit rate in kilometers per minute for 18.25km in 1 h 45 minute

Answers

1 hour and 45 minutes is 105 minutes... that's our start.

The formula for speed is distance divided by time. Plugging our data in, we have S=18.25/105, which is 10.4826 km/h, to find kilometres a minute, we need to divide our answer by 60. Our answer is 0.17471 km/m

Find the value of x. Round to the nearest tenth of the right triangle. hypotenuse is x, side leg is 12, and angle is 47

Answers

a = 12 b =47  hypotinuse =x

   12sq+47sq=csq                 = 2353           
    144+2209=csq                 a ugly and hary long number
                                   = 48.50773134253961
     now round it to the nearest tenth

A hair company makes three batches of scented shampoo using the recipe shown. Each batch contains a different total amount of shampoo. 1/2 is pineapple, 1/5 is banana, 3/10 is coconut.
Batch 1:
Pineapple
Banana
Coconut is 2 1/10

Batch 2:
Pineapple
Banana is 3 1/5
Coconut

Batch 3:
Pineapple is 2 1/2
Banana
Coconut

Answers

Answer:

Batch 1:  Pineapple = 3 1/2; Banana = 1 2/5

Batch 2:  Pineapple = 8; Coconut = 4 4/5

Batch 3:  Banana = 1; Coconut = 1 1/2

Step-by-step explanation:

For Batch 1:

We know that coconut is 3/10 of the mixture, and we have 2 1/10 coconut:

3/10x = 2 1/10

Converting 2 1/10 to an improper fraction, we have

3/10x = 21/10

Divide both sides by 3/10:

3/10x ÷ 3/10 = 21/10 ÷ 3/10

To divide fractions, flip the second one and multiply:

x = 21/10 × 10/3 = 210/30 = 7

This means we have 7 total of the mixture.

1/2 of this is pineapple:  1/2(7) = 7/2 = 3 1/2

1/5 is banana:  1/5(7) = 7/5 = 1 2/5

For Batch 2:

1/5 of the total is banana; we have 3 1/5 banana:

1/5x = 3 1/5

Convert the second fraction to an improper fraction:

1/5x = 16/5

Divide both sides by 1/5:

1/5x÷1/5 = 16/5÷1/5

Flip the second fraction and multiply:

x = 16/5×5/1 = 80/5 = 16

We have 16 of the total shampoo.

Pineapple is 1/2 of this:

1/2(16) = 8

Coconut is 3/10 of the total:

3/10(16) = 48/10 = 4 8/10 = 4 4/5

For Batch 3:

Pineapple is 1/2 of the total.  We have 2 1/2 pineapple:

1/2x = 2 1/2

Convert the fraction on the right to improper:

1/2x = 5/2

Divide both sides by 1/2:

1/2x÷1/2 = 5/2÷1/2

Flip the second fraction and multiply:

x = 5/2×2/1 = 10/2 = 5

We have 5 total shampoo.

Banana is 1/5 of this:

1/5(5) = 1

Coconut is 3/10 of this:

3/10(5) = 15/10 = 1 5/10 = 1 1/2

Definition of classic probability

Answers

Classical probability is the statistical concept that measures the likelihood of something happening, but in aclassic sense, it also means that every statistical experiment will contain elements that are equally likely to happen.
Final answer:

Probability is the likelihood, or chance, that a certain event will occur. The easiest way to understand probability is with coin tosses. Probability can also be applied in various fields such as medicine and stock market.

Explanation:

Probability is the likelihood, or chance, that a certain event will occur. The easiest way to understand probability is with coin tosses.

When you toss a coin, the chance of a head turning up is 50 percent. This is because a coin has only two sides, so there is an equal chance of a head or tail turning up on any given toss.

Probability can also be applied in various fields. For example, doctors use probability to determine the chance of a vaccination causing the disease the vaccination is supposed to prevent.

Stockbrokers use probability to determine the rate of return on a client's investments. In statistics, we study populations and use a sample to gain information about the larger population. Data are the result of sampling from a population.

a line with a slope of 1/8 passes through the points (u, -9) and (6, -8). what is the value of u?

Answers

Answer:
u = -2

Explanation:
Slope of the line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)

We are given :
slope = 1/8
point (u,-9) represent (x1,y1)
point (6,-8) represent (x2,y2)

Substitute with the givens in the above equation and solve for u as follows:
slope = (y2-y1) / (x2-x1)
1/8 = (-8--9) / (6-u)
1/8 = (1) / (6-u)
1* (6-u) = 1*8
6-u = 8
u = 6-8
u = -2

Hope this helps :)

PLEASE HELP ME I BEG YOU BRAINLIEST ALWAYS!!!!!

Answers

BAC
CBC

The measure of an inscribed angle is half the measure of the arc it intercepts. The sum of all arcs in a circle is 360°. Inscribed angles that intercept the same arc are congruent. Pretty simple algebra and geometry. It should take you less time to work these than it does to post them.

nicks telephone company charges 0.05 per min for weekend calls and $0.09 per minute for calls made on weekdays this month Nick was bailed 622 minutes these charges were 45.94 how many minutes did he talk on weekends and how many minutes did he talk on weekdays

Answers

---------------------------------------------------------------------------------------------------
Information Given
---------------------------------------------------------------------------------------------------
Weekends = $0.05
Weekdays = $0.09
Total duration = 622 mins
Total Amount = $45.94

---------------------------------------------------------------------------------------------------
Assumed all are weekends
---------------------------------------------------------------------------------------------------
$0.05 x 622 = $31.10

---------------------------------------------------------------------------------------------------
Difference in the amount
---------------------------------------------------------------------------------------------------
$45.94 - $31.10 = $14.84

---------------------------------------------------------------------------------------------------
Difference in the weekdays and weekends charge
---------------------------------------------------------------------------------------------------
$0.09 - $0.05 = $0.04

---------------------------------------------------------------------------------------------------
Find weekdays minutes
---------------------------------------------------------------------------------------------------
$14.84 ÷ 0.04 = 371 mins

---------------------------------------------------------------------------------------------------
Find weekend minutes
---------------------------------------------------------------------------------------------------
622 - 371 = 251

---------------------------------------------------------------------------------------------------
Answer: Weekdays = 371 mins, weekends = 251 mins
---------------------------------------------------------------------------------------------------

what is the answer to 2/3(5x+6)=34

Answers

Hi hon!

The solution is x= 9.
Simplify both sides, then isolate the variable.

Have a terrific day and let me know if you have more questions!
~Brooke❤️

list of all the dimensions you can make for rectangular prisms with 12cm linking cubes

Answers

These are the possible dimensions:

1)   12 x 1 x 1
2)    6 x 2 x 1
3)    3 x 4 x 1
4)    3 x 2 x 2

dividing fractions I don't know what it is and nits 6th grade divide fraction

Answers

14 coworkers will receive strawberries from Mr. Lopez.
14 co workers

to divide fraction do the following:
[tex]3 \frac{5}{8} = \frac{(8 \times 3) + 5}{8} [/tex]
simplify we get
[tex] \frac{29}{8} [/tex]
then to divide by 1/4 we need to flip it to 4/1 or just 4
[tex] \frac{29}{8} \div \frac{1}{4} = \frac{29}{8} \times \frac{4}{1} [/tex]

simplify and we get
[tex] \frac{116}{8} [/tex]
which equals 14.5 but you can't have half a person so the answer is:
[tex]14 \: \: coworkers[/tex]

A student wrote this statement “a triangular prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 square inches.” Identify and correct the error

Answers

For this case, what you must keep in mind is that the volume of a triangular prism is the product of the area of the base by height.
 We observed that:
 V = (15) * (20) = 300
 The numeric value is correct.
 However, the units are not because the volume is expressed in:
 units ^ 3
 Answer:
 "a triangular prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 CUBIC inches. "

I need help on number 11 please explain thanks! :)

Answers

First divide 342 by 6 which gives you 57. so now we know Sanjay travels 57 miles per hour. so for 5 hours we would do 57 times 5 which equals 285.
It will be the answer 285 because 342 divided by 6 is 57 now you multiply it by the 5 hours and you will be getting the answer 285. Hopefully this really helps you

Am I doing these right? Are these correct?

Answers

Yes you are doing them correct
yes you did it correct! Good job:)

PLEASE HELP!!!!!


The vertex angle of an isosceles triangle is 40 degrees less than the sum of the measures of the base angles. Determine the measure of the vertex angle.

Answers

◆ Triangles ◆

Hey !!

Check the attachment.

Hence , the Vertex measures 70°
Hope it helps you :)
Let the base angles be x as both are equal in a isosceles triangle
Now, x+x+(x-40)=180. Since sum of angles of a triangle
2x+(2x-40)=180
2x+2x-40=180
4x=180+40
4x=220
x=220/4
x=55

Now,they asked us vertex angle which is 40 degrees less than sum of base angles
Therefore x+x-40=vertex angle
2x-40=vertex angle
2(55)-40=vertex angle
110-40=vertex angle
Vertex angle =70 degrees

The surface area of a prism is Square units all measurements in the image below input whole number only

Answers

The area of BOTH the triangles are (2)(1/2)(3)(4), which is 12.
The area of the base is (3)(5.5), 16.5.
The area of the slanted rectangle is (5.5)(5), which is 27.5.
The area of the vertical rectangle is (4)(5.5), which is 22.
Adding these, we get 78.
---
Hope this helps!

The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year. Which function equation represents the population of the city after t years?

Answers

p(t) = 451400*0.968^t . . . . . models the population after t years.

_____
The multiplier from one year to the next is (1 -3.2%) = (1 -.032) = 0.968.

Answer:

This was the correct answer, I even provided proof from my own test. Hope this helps!

Step-by-step explanation:


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