solve the equation x-5=15 and state Euclid's axiom used

Answers

Answer 1

[tex]x-5 = 15[/tex]
[tex]x = 15 + 5[/tex]
[tex]x=20[/tex]

If equals are added to equals, the the remainders are equal.

Hope this helps !

Photon

Related Questions

12-packs of skwunch apple juice cost $3.00 after a 40% discount.Which equation would allow you to find the original price of the 12-packs?

Answers

The answer is 8
Hope this help and plz give me points thank u :)

Answer:

The Iready Answer:

0.6x = 3

pls help!!! will make brainliest!

Answers

3.8, 4.6, 5.4, 6.2, 7.0

Suppose that c is the center of a circle with radius 13 in and a point p is at a distance of 32 in from
c. find an approximate value of the measure of the angle (in degrees) that is formed by the two tangent lines drawn to the circle from p. if needed, round your answer to three decimals

Answers

The sine of 1/2 the angle = 13 / 32

so this angle = 23.9695 degrees

Therefore the required angle = 2 * 23.9695 = 47.939 to 3 DP's.

An inequality is shown below. x + 2.5 < 20 What is the greatest value of x from the set {10.5, 12.5, 17.5, 19.5} that makes the inequality true?

A 10.5

B 12.5

C 17.5

D 19.5

Answers

C is the final answer :)

What is the simple interest on $360 borrowed for 30 months at 12.3%?
(PLEASE EXPLAIN)

Answers

Interest = principal * rate * time / 100 = 360 * 12.3 * 2.5 / 100 (Note 30 months = 2.5 years)

Answer is $110.70

Hello there! I can help you! The formula for simple interest is prt. We multiply the principal (inital amount) by the interest rate (in decimal form) by the time (could be in months or years). For this expression, our principal is $360. The interest rate is 12.3% (0.123 in decimal form). We will multiply those two numbers first. 360 *12.3% is 44.28. That's $44.28 in interest per year, but we're not done. Now, we multiply that by the amount of time, which is 30 months. In this case, we will convert that to years. 30/12 is 2.5. That is 2.5. We will multiply the interest by 2.5. 44.28 * 2.5 is 110.7. There. The simple interest is $110.70.

The product of what number and 7 is less than 49?

Answers

Answer:

All real numbers less than 7

Step-by-step explanation:

Let

x ----> the number

we know that

The inequality that represent the situation is

[tex]7x < 49[/tex]

Solve for x

Divide by 7 both sides

[tex]x < 49/7[/tex]

[tex]x < 7[/tex]

The solution is the interval -----> (-∞, 7)

All real numbers less than 7

PLEASE HELP ME!!!!!!! Estimate the correlation coefficient for each data set. Explain your reasoning.

Answers

The closer the set of data is to a line the closer the correlation coefficient is to 1

in a you can see somewhat of a line so you should pick a value between 0.5 and 0.7

in b you can see a line, the value you should estimate should be greater than 0.9

In c you kinda maybe imagine a line, but worse than a. so you should pick a number between 0.2 and 0.4

Find the value of x.

Answers

A triangle's angles (in all) = 180 degrees

78 + 27 + x = 180

simplify:

78 + 27 + x = 180

105 + x = 180

subtract 105 from both sides

x + 105 (-105) = 180 (-105)

x = 180 - 105

x = 75° is your answer

hope this helps

Hi there!

Since the sum of all angles in any triangle always equals 180°, we can just subtract to find x.

180 - 27 - 78
= 153 - 78
= 75

So, the value of x is 75°.

Hope this helps!

Evaluate log10 0.001

Answers

[tex]0.001=\dfrac1{1000}=10^{-3}[/tex]

[tex]\implies\log_{10}0.001=\log_{10}10^{-3}=-3\log_{10}10=-3[/tex]

Final answer:

The operation 'log10 0.001' means 'the power to which we must raise 10 in order to obtain 0.001'. The answer is -3 because 0.001 can be represented as 10^-3.

Explanation:

The question asks you to evaluate log10 0.001. To solve this, we examine the concept of 'logarithms'. In this case, the logarithm in question is base 10 (often written simply as 'log'), and we're being asked for the power to which we need to raise 10 to obtain 0.001.

We know that 0.001 can be written as 10^-3. Therefore, log10 0.001 = -3. This is because the logarithm indicates the exponent that the base number (10, in this case) must be raised to in order to obtain the specified number (0.001, here). So, when we say log10 0.001 = -3, we're saying '10 raised to power -3 gives us 0.001'.

Learn more about Logarithms here:

https://brainly.com/question/37287488

#SPJ12

How can you divide 133 nickels into 8 bags so that there are the same number of nickels in each bag and the number in each bag is odd and there are none left over?

Answers

There is no way to divide them because 133 is odd, so 133 divided by 8 would be 16.625.

can somebody tell me the area of these figures:

Answers

1) A = bh = 16*15 = 240 . . . . square units

2) There are a number of ways to decompose the shaded area, or to construct the shaded area. We'll do the latter.

The shaded area is 1/2 of a 4x4 square plus a small triangle below the center of the "butterfly". The latter has a base of 2 and a height of 1, so an area of
.. (1/2)*2*1 = 1
The total area is 4^2/2 +1 = 9 . . . . square units

PLZ i need anwse ASAP

The figure is the net for a rectangular prism.

What is the surface area of the rectangular prism represented by the net?

Answers

Surface area is the sum of area of all the faces .

In the net diagram, we have 6 faces. So we have to find the area of each face and add them to find the surface area .

And since each face is rectangle in shape, so we will use the formula of area of rectangle, which is

[tex]Area= length*width[/tex]

So the required surface area is

[tex]A = (11*5)+(11*4)+(11*5) +(11*4)+(5*4)+(5*4)

A = 55+44+55+44+20+20 =238 mm^2[/tex]

And that's the required surface area of the rectangular prism .

The graph represents the height y, in meters, above a lake of a rock x seconds after it is thrown from a ledge. Which statement is true? Select each correct answer.

Answers

Answer:

The graph represents the height y, in meters, above a lake of a rock x seconds after it is thrown from a ledge. Which statement is true? Select each correct answer.

Draw a tree diagram to support the area model.
Draw a maze that fits her plan.
Find P(Y). Explain your reasoning.
Find P(N). Explain your reasoning.
Ms. Sweet predicts 50 people will enter the maze next year. Based on your findings, give Ms. Sweets a recommendation for the number of pumpkins to place in the maze.

Answers

As a tree diagram, I'd draw this with 2 branching levels. You obviously have a starting point, which branches into 3 levels for each row of the plan.

Then a second branch level off each of those 3 for the possible outcomes by the columns in that row. So the branch for the top row would have 4 further branches, the second row splits into 2 branches etc.

I'm assuming the probability is based off the area of each box, and that the splits are done equally each time.

As for drawing a maze, it's the same as the tree, just in a bit of a maze sort of shape (corners etc).

P(Y), P(N) and the number of pumpkins should come easily from the tree diagram.

Ella's college professors assign homework independently from each other. ella knows that there is a 60% chance that she will have math homework tonight and a 70% chance that she will have english homework. what is the probability that she will not have math or english homework tonight? 10% 12% 42% 70%

Answers

To answer this question, you will multiply the chance of NOT having english homework (100-70=30% chance) by the chance of her NOT having math homework (100-60=40%).

This would be 0.3 x 0.4=0.12 or 12% chance of both occurring.

Answer:

B. 12%

Step-by-step explanation:

We have been given that Ella knows that there is a 60% chance that she will have math homework tonight and a 70% chance that she will have English homework.

Since we know that probability of not happening an event can be found by subtracting probability of happening the event from 1.

[tex]\text{P(No math homework tonight)}=1-0.6=0.4[/tex]

[tex]\text{P(No English homework tonight)}=1-0.7=0.3[/tex]

Since both events are independent so we will multiply probability of no math homework tonight by probability of no English homework to find no math or English homework tonight.

[tex]\text{P(No math or English homework tonight)}=0.4\times 0.3[/tex]

[tex]\text{P(No math or English homework tonight)}=0.12[/tex]

Converting 0.12 to percent we will get,

[tex]0.12\times 100=12\%[/tex]

Therefore, the probability that Ella will not have math or English homework tonight is 12%.

A garden snail traveled 1⁄40 of a mile in 1⁄2 an hour. What was the speed of the snail? 80 miles per hour

Answers

where you asking if a snail had traveled for 80 hours? if so, it traveled 4 miles.

or if you're asking the snails speed, if so it's 0.025 miles in 30 mins and 0.05 miles an hour.

What is the value of n? Enter your answer in the box. n =

Answers

For two chords AB and PQ intersecting inside the circle, then AX × XB = PX × XQ.
In this case;
5 × 7 = 4(n+8)
35 = 4n + 32
4n = 3
n = 0.75
Therefore; the value of x is 0.75

Answer:

Step-by-step explanation:

How do i find the average speed for his question: "A bicycle racer rides from a starting marker at 10m/s. She then rides back along the same rout from the turnaround marker at 16m/s. What is her average speed for the whole race?",

Answers

To find the average speed for the whole race, you just have to add the speed from a starting marker and the speed from the turnaround marker going back and divide it by 2 since there are only two speeds involved.

10 m/s + 16m/s = 26 m/s / 2 = 13 m/s

Therefore, the average speed for the whole race is 13 m/s.

Average speed = Total Distance/Total time ------(1) Let us assume that the distance from starting marker to turnaround marker is 'x' Total distance travelled = 2x Speed from starting marker to turnaround marker , s1 = 10 m/s Speed from turnaround market to starting market , s2 - 16 m/s Let, Time taken from starting marker to turnaround marker be t1 Time taken from turnaround marker to starting marker be t2. Applying these values in equation (1), Average speed = (2x)/(t1+t2) -------(2) From (1), t1 = x/s1 = x/10 t2 = x/s2 = x/16 Substituting the above in (2), Average speed = (2x)/(x/10+x/16) m/s = (2x)/(13x/80) m/s = 160/13 m/s = 12.3 m/s We can also arrive at the average speed by using the formula 2(s1)(s2)/(s1+s2)

Determine the measures of the apothem, the radius, and the perimeter of the regular octagon.
a. a = 14.4, r = 15.6, p = 96
b. a = 14.4, r = 15.6, p = 12
c. a = 15.6, r = 14.4, p = 96
d. a = 10, r = 15.6, p = 96

Answers

the complete question in the attached figure

we know that
A) a regular Octagon has all its eight sides congruent
B) all the eight interior angles are also congruent
C) the measure of each angle = 135º
therefore
see the attached figure

∠ alfa=135°/2--------> 67.5°
AP=12/2---------> 6 units
cos (alfa)=AP/AO----------> AO=AP/cos (alfa)
AO=6/cos(67.5)---------> 15.68 units

the radius= distance AO----------> 15.68 units
radius=15.68 units
the apothem=distance OP

sin(alfa)=OP/AO---------> OP=sin(alfa)*AO
OP=sin(67.5°)*15.68-------> 14.49 units
the apothem=14.49 units

perimeter=12*8--------> 96 units
perimeter=96 units

the answers Part A), B) and C) are
apothem=14.49 units
radius=15.68 units
perimeter=96 units

therefore the option is the a.) a = 14.4, r = 15.6, p = 96

Answer:

a.) a = 14.4, r = 15.6, p = 96

EASY MEDAL !!!!!
Given the trinomial, what is the value of the coefficient 'B' in the factored form?

2x2 - 12xy - 32y2 = 2(x - 8y)(x + By)

B= ____________

Numerical Answers Expected!,

Answers

Let's start with the given polynomial:
2x² - 12xy - 32y²

As a first step, we want to regroup 2:
= 2(x² - 6xy - 16y²)

Now, we want to re-write the term -6xy in order to be able to perform a partial factoring. In this case, we can write:
-6xy = -8xy + 2xy
Therefore, the polynomial becomes:
= 2(x² - 8xy + 2xy - 16y²)

Now we factorize x within the first two terms and 2y within the last two:
= 2[x(x - 8y) + 2y(x - 8y)]

We can now regroup the common term:
=2(x - 8y)(x + 2y)

Your answer is hence B = 2

You want to make a scaled-down model of the statue of liberty that fits neatly on top of a pedestal with a 20 x 20 in horizontal surface. the actual statue of liberty is approximately 152 ft tall over a 40 x 40 ft base.
a.what is the scaling factor between the statue of liberty and your model? in other words, how many more times bigger is the statue of liberty than your model? show your work.
b.how tall should your model be, in inches? show your work.

Answers

a.what is the scaling factor between the statue of liberty and your model?

we know that
[scale factor[=[model]/[actual]
the pedestal model is 20 in*20 in
the pedestal actual is 40 ft* 40 ft
then
[scale factor]=[20 in]/[40 ft] ---------->[1 in]/[2 ft]-------> scale=1/2

the answer Part A) is
the scale factor is [1 in]/[2 ft]

b.how tall should your model be, in inches?
the actual statue of liberty is approximately 152 ft tall

[scale factor]=[model]/[actual]---------> [model]=[scale factor]*[actual]
[model]=[1/2]*[152]----------> 76 in

the answer part B) is 76 in tall

Math help please????

Answers

The y-intercept is 4. Divide by three to get y alone (12/3=4)

All you do is divide 3 on both sides, and it results to:

[tex]y = \frac{-4}{3} x + \frac{12}{3} [/tex]

The y intercept simplifies to 4

y-int = 4

whats the surface area of a cylinder with a base of 12in and hieght of 40in

Answers

3920.71 so it wants like djehf ewfewvhe veiv

Can someone help me and show me how to solve this?

In the figure, YX is a tangent to circle O at point X.

mXB = 52°
mXA = 104°

What is the measure of ∠XYA?

I can't remember how to solve questions like this since it's been a while. Thanks in advance.

Answers

XYA = (104 -52)/2

52 /2 = 26

the answer is 26 degrees

I think it is 26
but I'm not completely sure

1. which two types of clouds indicate fair weather?
a) cirrus and cumulus
b) cirrus and stratus
c) cumulus and stratus
d) cumulus and nimbostratus,

Answers

The two types of clouds that indicate fair weather are cirrus and cumulus. Cirrus is a type of clouds that is compared and nicknamed sometimes as the hairs of an angel because it is so thin. Unlike cirrus that appears at high altitudes, cumulus generally are formed closer to the earth surface.

Answer:

a) cirrus and cumulus

Step-by-step explanation:

The two types of clouds that indicate fair weather are :

a) cirrus and cumulus clouds.

Cirrus clouds are usually white and predict fair to pleasant weather.

Cumulus clouds are also called fair weather clouds and look like floating cotton in the sky.

ABCD is a trapezoid with sides AB parallel to CD, where AB = 50, CD = 20. E is a point on the side AB with the property, that the segment DE divides the given trapezoid into two parts of equal area (see figure). Calculate the length AE.

Answers

AE is 35 units in length.

One of the two shapes that DE splits the trapezoid into is a triangle. Since the two sections of the trapezoid have an equal area, this means that the area of the triangle is 1/2 of the area of the trapezoid. Using the formulas for the area of a triangle and the area of a trapezoid we get:

1/2bh = 1/2(1/2(B+b)(h))

The base of the triangle, AE, is unknown. We do know that AE + EB = 50; let x be EB. That means that AE = 50-x.

B, the "big base" of the trapezoid, is 50. b in the trapezoid, the little base, is 20. Using all of this we now have:

1/2(50-x)h = 1/2(1/2(50+20)(h))
1/2(50-x)h = 1/2(1/2(70)h)
1/2(50-x)h=1/2(35)h

Since we have multiplied by 1/2 and h on both sides, we can divide by both of them at the same time to cancel. This will give us:
(50-x)=35

Subtract 50 from both sides:
50-x=50 = 35-50
-x = -15
x = 15

This means that EB is 15; thus AE = 50-15 =35.

Please help me thank you.

Answers

The measure of a circle is 360°. The major arc is that portion of the circle that does not include the 50° minor arc. Hence the measure of the major arc is 310°. You designate the major arc by naming another point on it (in addition to the end points).

The 3rd selection is appropriate.

Jeanette purchased a concert ticket on a web site.The original price of the ticket was $75.She used a coupon code to receive a 20% discount.This website applied a 10% service fee to the discounted price.Jeanette ticket was less than the original price by what percent?

Answers

STEP 1:
Find discounted price.
Discounted $= original $ - (original $ * % discount)

Discounted $= $75 - ($75 * 20%)
Discounted $= 75 - 15
Discounted $= $60

STEP 2:
Find discounted $ plus service fee.
Price plus fee= discounted $ + (discounted $ * service fee %)

Price plus fee= $60 + ($60 * 10%)
Price plus fee= 60 + 6
Price plus fee= $66

STEP 3:
Find % change.
% change formula= (new # - original #) ÷ original # x 100

% change= (66-75)÷ 75 x 100
% change= -9 ÷ 75 x 100
% change= -0.12 x 100
% change= -12%

***the negative indicates a decrease

ANSWER: Her ticket was less than the original by 12%.

Hope this helps! :)

MATH HELP PLEASE WILL GIVE BRAINLIEST!
This figure shows circle Z with chords AB and RS .

mAR=55°
mRB=66°
AB=8 m
RS=8 m

What is mRS ?

Enter your answer in the box.

Answers

Because AB=RS=8m, ArcRS=Arc AB=ArcAR+ArcRB=55+66=121

A hose dispenses 1,413 cm³ of water every minute into a cone with a radius of 60 cm and a height of 150 cm. How long will it take to fill the cone? Use 3.14 to approximate pi. Enter your answer in the box.

Answers

Hm. Have you ever dispensed water from a hose unto a cone? I know I haven’t, but math can give us a good idea of what it would be like — or at least, how long it would take.

We are told that the hose spills 1413 cm^3 of water every minute. We are also told the cone has a height of 150 cm and a radius of 60 cm. So far, so good.

First things first, we need to find out how much water can fit in the cone. That means volume. The volume of a cone is

π • r^2 • (h/3)

Let’s go ahead and plug in (remember we use 3.14 for π)

(3.14) • (60)^2 • (150/3)

The volume of the cone is 565,200 cm^3

Wait, I’m lost. What were we supposed to do again? Oh, right. We needed to find how long it would take for the hose to fill in the cone. Well, if we know the hose dispenses 1413 cm^3 per minute, and there is a total of 565,200 cm^3 the cone can take, we can divide the volume of the cone by the amount the hose dispenses per minute to get the number of minutes it’d take to fill it.

565200/1413

400 minutes. Wow, ok. I wouldn’t want to wait that long. That’s like watching 3 movies!

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