Determine if the conjecture is valid by the law of detachment. given: if tommy made enchiladas tonight, then tommy must have an oven. tommy has an oven. conjecture: tommy made enchiladas tonight.

If-then form of the given statement : an acute angle measures less than 90 will be : If an angle is an acute angle, then the angle measures less than 90 degrees.

We can understand this problem by using  the above statement as an example like :

If an angle is an acute angle, then the angle measures less than 90 degrees. The part after if : an angle is an acute angle is called a hypotheses and the part after then : the angle measures less than 90 degrees is called a conclusion.

Hypotheses followed by a conclusion is called an If-then statement or a conditional statement.

This is noted as :

p → q

This is read - if p then q.

A conditional statement is false if hypothesis is true and the conclusion is false. The example above would be false if it said  "If an angle is an acute angle, then the angle does not measure less than 90 degrees."

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Using the segment addition postulate, the values are:

a. y = 6

b. RS = 50

ST = 29

Based on the segment addition postulate, the following equation is true which we can use in finding the missing measures:

RS + ST = RT.

Given:

RS = 8y + 2,

ST = 4y + 5,

RT = 79.

a. Plug in the given values into RS + ST = RT:

8y + 2 + 4y + 5 = 79

12y + 7 = 79

12y = 79 - 7

12y = 72

y = 6

b. RS = 8y + 2 = 8(6) + 2

RS = 50

ST = 4y + 5 = 4(6) + 5

ST = 29

Thus, using the segment addition postulate, the values are:

a. y = 6

b. RS = 50

ST = 29

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Answer:

24 [tex]cm^{2}[/tex]

Step-by-step explanation:

a = [tex]\frac{bh}{2}[/tex]

We have the base, we need the height.  Use the Pythagorean Theorem

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]6^{2}[/tex] + [tex]b^{2}[/tex] = [tex]10^{2}[/tex]

36 + [tex]b^{2}[/tex] = 100  Subtract 36 from both sides

[tex]b^{2}[/tex] = 64

[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{64}[/tex]

b = 8

a = [tex]\frac{bh}{2}[/tex]

a =[tex]\frac{6x8}{2}[/tex] =[tex]\frac{48}{2}[/tex] = 24

The correct option is (B) 9/13.

The probability that it will not snow on Tuesday is 9/13.

The ratio of the quantity of favorable outputs to the overall number of possibilities of an event is defined as probability.

The number of favorable results for an experiment with 'n' outcomes is denoted by x.

The following formula is used to determine the probability of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n.

Some properties of the probability are mentioned below-

Now, for the stated question;

The probability that it will snow on Tuesday is 4/13.

Use property 1;

Then, the probability that it will not snow on Tuesday is;

= 1 - 4/13

= (13 - 4)/13

= 9/13

Therefore, the probability that it will not snow on Tuesday is 9/13.

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Answer: 25/12

Step-by-step explanation:

Answer:

2; 11; 17; 23

Step-by-step explanation:

when you have an x you plug it in for the y

so

for the first one

you do

y = 3(1) - 1

y = 3 - 1

y = 2

that is the first one

you do this for the next 3 too

y = 3(4) - 1

y = 12 - 1

y = 11

y = 3(6) - 1

y = 18 - 1

y = 17

y = 3(8) - 1

y = 24 - 1

y = 23

those are your answer

Answer:

f = 1

Step-by-step explanation:

-9 + 8f = -6 + 5f

move variables

-9 + 6 = -3

-3 + 8f = 5f

5f - 8f = -3f

-3 = -3f

divide by -3

f = 1

Answer:

Step-by-step explanation:

an area of a rectangle is

A= LW

A=51/2 (3)

A= 153/2

A= 76.5 ft

The inequality given by 4x - 2 > 1/2 has the solution x > 5/8 or (5/8 , +∞).

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.

Given the inequality 4x - 2 > 1/2, add 2 to both sides.

4x - 2 + 2 > 1/2 + 2

4x > 5/2

Multiply both sides by 1/4.

1/4(4x) > 1/4(5/2)

x > 5/8

To check, let x = 3/4

x = 3/4 ≥ 5/8

Substitute this value to the inequality.

4x - 2 > 1/2

4(3/4) - 2 > 1/2

3 - 2 > 1/2

1 > 1/2

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9:28 would be the time the movie ends

Answer:

9:28

Step-by-step explanation:

First, add an hour to 7:45. Then, find how much time there is until you reach the next hour. After that, take the remaining time and add it on. 7:45 plus one hour is 8:45. There is fifteen minutes until the next hour, so subtract that from the forty three minutes. Add that fifteen minutes on and you are at nine o'clock. There is twenty eight minutes left. Add it in to nine o'clock. You now have the time the movie will end

Hope this helps! :)

Answer:

Step-by-step explanation:

350 * 40% = 140 (MATH)

350 * 10% = 35 (ENGLISH)

350 * 25% = 87.5 so about 88 (SCIENCE)

350 * 10% = 35 (MUSIC)

350 * 15% = 52.5 also about 53 (HISTORY)

Answers

1.1) So, we're given that 6cm is 15 ft to scale. That means that every 2cm = 5ft. So, the dimensions of her room are 5ft x 10ft.

1.2) In square feet that makes 15 (length*width)

1.3) We want a 3-foot wide couch (1/5 of 15) which means it will be 1/5 of 6cm, which equals 1.2 cm wide.

The equation of a line with slope = 3 and y-intercept = (0,2) is: y = 3x + 2

Now,

Given:

To find: Equation of the line

Finding:

=> y = 3x + 2, which the required equation of the line.

Hence, The equation of a line with slope = 3 and y-intercept = (0,2) is: y = 3x + 2.

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Answer:6.25

Step-by-step explanation:25/4=6.25 hope this helps

The solutions of the trigonometric equation are x₁ = π / 6 and x₂ = 5π / 3.

In this problem we find a trigonometric equation which has to be simplified and solved for x to find the family of solutions within the given interval:

csc x · tan x = 2√3 / 3

(1 / sin x) · (sin x / cos x) = 2√3 / 3

1 / cos x = 2√3 / 3

cos x = 3 / 2√3

cos x = √3 / 2

Then, by inverse trigonometric functions:

x₁ = π / 6, x₂ = 5π / 3

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If point D is located on the line MV, then the ratio that relates MD to DV is 3 : 1

The given parameters are

Calculate the distance between point D and point M using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have

MD = √(-6 - 0)^2 + (3 + 3/4)^2

Calculate the distance between point D and point V using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have

DV = √(2 - 0)^2 + (-2 + 3/4)^2

The ratio that relates MD to DV is represented as

Ratio = MD : DV

So, we have

MD : DV = √(-6 - 0)^2 + (3 + 3/4)^2 : √(2 - 0)^2 + (-2 + 3/4)^2

This gives

MD : DV = √(-6)^2 + (3 3/4)^2 : √(2)^2 + (-1 1/4)^2

Evaluate the exponents

MD : DV = √[36 + 225/16] : √[4 + 25/16]

Evaluate the sum

MD : DV = √[801/16] : √[89/16]

Divide ratios by √[89/16]

MD : DV = √9 : √1

Evaluate the exponent

MD : DV = 3 : 1

Hence, the ratio that relates MD to DV is 3 : 1

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Answer:

There is nothing to refer to

Step-by-step explanation:

Answer:

68 degrees higher.

Step-by-step explanation:

You have to start at negative ( -11 to 0 ) which is already 11 degrees and then you need to count how much degrees from 0 to 57.

Answer: 68°F warmer was the temperature in Los Angeles

Step-by-step explanation:

[tex]57^0F-(-11^0F)=\\\\57^0F+11^0F=\\\\68^0F[/tex]

Step-by-step explanation:

[tex]n = \frac{ - 5}{3} [/tex]

ATTACHED IS THE SOLUTION!!

Answer:

ue7e66eywgwgwgwjw7wh3he

The expression for the total number of pies baked in the two years is 156 + d

Algebraic expressions can be defined as expressions composed of variables, terms, factors, coefficients and constants.

They  are also made up of mathematical operations such as division, addition, subtraction, multiplication, etc

From the information given, we have;

The expression is written as;

Total number of baked pies = 156 + d

Thus, the expression for the total number of pies baked in the two years is 156 + d

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The inequality that shows the number of visits she needs to make in order to get a free movie ticket is 7.5v + 70 ≥ 175

An equation is an expression that shows the relationship between two or more numbers and variables.

Let v represent the number of visits she needs to make in order to get a free movie ticket.

She needs at least 175 points for a free movie ticket. Hence:

7.5v + 70 ≥ 175

The inequality that shows the number of visits she needs to make in order to get a free movie ticket is 7.5v + 70 ≥ 175

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The value of the number is 9

From the question, we are to determine the number

From the given information,

"3 times a number is increased by 22"

Let the number be x

Thus,

3x + 22

"the result is 14 less than 7 times the number"

That is,

3x + 22 = 7x - 14

Now, solve the equation

3x + 22 = 7x - 14

22 + 14 = 7x - 3x

36 = 4x

x = 36/4

x = 9

Hence, the value of the number is 9

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Answer:

False

Step-by-step explanation:

Let's just analyze it.

x=2 if and only if |x|=2

That can be rewritten as:

if x = 2 then |x| = 2

AND

if |x| = 2 then x = 2

Let's solve each one separately:

we have x = 2

we can simply get |x| by removing the sign, if any. There is none, so |x| = 2.

The first part checks out.

we have |x| = 2

As with absolute values, this means that either x = 2 or x = -2

So we know from |x| that x is either 2 or -2, but the logical statement said "if |x| = 2 then x = 2", which is too specific - it forgets about -2.

The second part is false.

Overall, we now know that "X=2 if and only if |x| = 2" is false because x = -2 is a counterexample. We get: "False if and only if True" which itself is false.

There are 126 ways a student can select 5 questions from an exam containing 9 questions

The given parameters are

Total questions, n = 9

Selected question, r = 5

The number of ways is calculated as

Ways = nCr

This gives

Ways = 9C5

Apply the combination formula

Ways = 9!/5!4!

Evaluate

Ways = 126

Hence, there are 126 ways a student can select 5 questions from an exam containing 9 questions

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Answer:

[tex]6/17[/tex]

Step-by-step explanation:

I assume you want the question in the picture solved as your written question is different but appears to be copied and pasted from the text.

1. When adding fractions the denominator (number on the bottom) must be the same between the two fractions, i.e. having a common denominator. In this case they are already the same, that is, 17 and 17. Just add the top numbers (numerators) together, and leave the denominator the same. So,

[tex]\frac{3}{17} +\frac{3}{17} =\frac{6}{17}[/tex]

Answer: 2.223 billion years old

Step-by-step explanation:

since 71 percent of the rock is remaining, the half life hasn't been reached yet. Hence, we know uranium isn't 4.5 billion years old yet. However, every-time 4.5 billions years pass, the rock get smaller by 2 times(a scale factor of 1/2). Hence, you can express that in a log equation:

[tex]\log_{2}(100/(percent of rock remaining))=[/tex] Fraction of 4.5 billions years of time passed

[tex]\log_{2}(100/50)=1[/tex]   ==> 100% of 4.5 billion years passed. When 50% of rock remains, 4.5 billion years have passed.

[tex]\log_{2}(100/100)[/tex] =

[tex]\log_{2}(1)=0[/tex]   ==> 0% of 4.5 billion years passed. When the rock hasn't decayed at all yet, that means that it is 0 years old.

[tex]\log_{2}(100/71)=0.494[/tex]   ==> 49.4 % of 4.5 billion years passed

0.494*4.5 billion =2.223 billion years passed

2.223 billion years old