Mathematics High School

60 POINTS

Which statement is true about this argument?

Premises:
If an angle measure is greater than 90°, then the angle is an obtuse angle.
The measure of ∠C is 102°.

Conclusion:
∠C is an obtuse angle.

Answers

Answer 1

The law of syllogism is correct because you have two given statements that are correct.

Answer 2

The answer is The Argument is Valid By The Law Of Detachment

Related Questions

Donald baked 77 cookies in the morning and 83 cookies in the afternoon for 14 days how many total cookies did he bake

Answers

77 + 83 = 160, multiply that by 14 days, gives you 2,240

you need to add 77+83 which gives you 160 then multiply by 14 which gives you 1239

What is the missing term in the factorization? 18x2−32=2(3x+?)(3x−4)

Answers

Answer:

Step-by-step explanation:

[tex]18x^{2} -32 = 2(9x^{2} -16)[/tex]

we apply difference of squares

2(3x-4)(3x+4)

So, the missing term is 4.

The missing term in the factorization 18x² − 32 = 2(3x + ?)(3x − 4) is 4.

What is Factorization ?

Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form. Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, Factorization is decomposition of that integer in terms of smaller integers; when multiplied with each other give back that considered number. Those composing integers are called factors of that considered integers.

WE have given an expression as;

18x² − 32 = 2(3x + ?)(3x − 4)

Now we apply difference of squares;

2(9x² - 16)

2(3x + 4)(3x - 4)

2(3x-4)(3x+4)

Therefore, the missing term is 4.

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given the equation -2x-13=8x+7, which order of operations completely solves for x

Answers

We can start by adding 2x to both sides (to put all of the x values on one side), as well as subtracting both sides by 7 to get variables on one side and numbers on the other, ending up with 10x=-20. After that, we can divide both sides by 10 to separate x and get x=-2

Which is an x-intercept of the graphed function?

Answers

The x-intercepts of the graphed function are -2, -1, 1, and 2

How to determine the x-intercept?

The x-intercept is the point where the graph crosses the x-axis

This means that the point on the x-axis where y = 0

From the graph, we have:

x = -2, -1, 1, and 2 when y = 0

Hence, the x-intercepts of the graphed function are -2, -1, 1, and 2

Answers

Since the area formula of square is [tex]S=a^2[/tex] [tex]\Rightarrow[/tex] the area of the given square would be [tex]S=(5\frac{2}{5})^2=(\frac{27}{5})^2=\frac{27^2}{5^2}=\frac{729}{25}=29\frac{4}{25} \ inches^2[/tex].

Answer:

29 4/25 square inches (not given in the options)

Step-by-step explanation:

A square is a plain 4 sided shape with equal sides. As such, all sides of a square are equal. If the length o a side of a square is s, the area of the square will be s² while the perimeter will be 4s.

Area of square = (5 2/5 inches)²

= (27/5 inches)²

= 729/25 square inches

= 29 4/25 square inches

. Catie is 3 years older than her brother. The sum of their ages is no more than 31. Write an inequality that can be used to represent this situation, where x represents Catie's brother's age. Don’t combine like terms.

Answers

The answer is 17+x=31

Answer: So, the required inequality that can be used to represent this situation is [tex]2x+3\leq 31[/tex]

Step-by-step explanation:

Let the age of Catie's brother be 'x'.

Let the age of Catie be 'x+3'.

According to question, the sum of their ages is no more than 31.

So, it becomes,

[tex]x+x+3\leq 31\\\\2x+3\leq 31[/tex]

So, the required inequality that can be used to represent this situation is

[tex]2x+3\leq 31[/tex]

What is the equation of a line that passes through the point (2, 7) and is perpendicular to the line whose equation is y=x/4+5 ?

Answers

y = 1/4x + 5
Point ( 2,7)

Alright, its always easier to draw it on a graph to see visually how the line intersects the other line. In this case I'll make it simple.

m1 time m2 = -1
Flip the slope you get -4

Now write the equation
y = mx + b
y = -4x + b
7 = -4(2) + b
7 = -8 + b
b = 15

y = -4x + 15

Cute dog!
Ask if you need more help :)

On Wednesday night in St. Petersburg, Russia, the temperature is -11°C. On the same night in Bombay, India, the temperature is 17°C. What is the difference in temperature? Show your work.

Answers

Hello! One number is negative and the other one is positive. In this case, we should find the difference they are from 0 and add the numbers up. -11 is 11 units away from 0. 17 is 17 units away from 0. 11 + 17 = 28. The difference in temperature is 28 degrees Celsius.

How many 12ths are equivalent to 1/3?

Answers

multiply 1/3 by 4/4

4/12 is the answer

4/12 is equivalent to 1/3

The sum of the squares of two consecutive even integers is 452. find the integers.

Answers

let me know if you have any questions :-)

Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of growth or decay.
f(x) = 2479 ⋅ 0.9948x

Answers

Consider the function f ( x ) = 2479 ⋅ 0.9948x First compare this with f ( x ) po ( 1 + r ) ^ 2 We get po = 2479 And 1 + r = 0.9948 = 1 – 0.0052 r = -0.0052 < 0 Therefore, f is an exponential decay function with a decay rate of 0.0052 x 100 = 0.52%

The distributive property to express 48+72

Answers

Answer:

24(2+3)=24.2+24.3=48+72

Step-by-step explanation:

Given form of number is 48+72.

we have to apply the distributive property to express the above number.

The distributive property is

a(b+c)=ab+ac

Multiply the common term with the term inside the parentheses

So to express 48+72 we have to take the highest factor outside

Let us take 24 outside, we get

24(2+3)=24.2+24.3=48+72

Hence applied

The required expression is [tex]24(2+3)[/tex] by using the distributive property.

Given:

The given expression is [tex]48+72[/tex].

To find:

The equivalent expression by using the distributive property.

Explanation:

According to the distributive property:

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]48+72[/tex]

It can be rewritten as:

[tex]48+72=24\times 2+24\times 3[/tex]

Using the distributive property, we get

[tex]48+72=24(2+3)[/tex]

Therefore, the required expression is [tex]24(2+3)[/tex].

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Answers

The first one is the second choice and the third one is the 4 choice. I know this because I had this homework and I got 100

Find the Least Common Multiple of these two monomials:
16jk^8m^5 and 20j^9k^4m^6

36j^9k^8m^6
80j^9k^8m^6
4jk^4m^5
80j^10k^12m^11

Answers

lcm 16 & 10 = 80

lcm j^8 & j^9 = j^9

lcm k^8 & k^4 = k^8

lcm m^5 & m^6 = m^6

answer is: 80j^9k^8m^6

The measures of two complementary angles are 3x+1 and 5x-y. Find x
A: 8
B: 12
C: 14
D: 23

Answers

Hello! Complementary angles are 90 degrees each. Two of them combined equals 180 degrees. To find the "x" value, we have to write out the formula. This would be 8x + 1 - y = 180. Just by looking at the answer choices, the answers are not A or B. The answer would have to be D, because when you plug in the number, it would be a little over. However, if you subtract 5, you would get 180. y = 5, x = 23. The answer is D: 23.

Need the calculations please

Answers

I believe the answer is D.

I replaced the variables with the coordinates. 3<3+1
3<4

Write an expression for the quantity 506 000 cm in which it is clear that all zeros are significant

Answers

The use of scientifice notation ensures you that all the zeros shown are significative.

For exampleif you wrire 4.30 * 10^ 5 means that there are 3 significant figures because the 0 counts, and if you wirte 4.300 * 10^5 means that there are 4 significant figures becasue the two zeros count.

So, if you want to state the number of significant figures in 506000 cm, write it in scientific notation with all the zeros: 5.06000 * 10^5 cm

Answer: [tex]5.06000. 10^{5} [/tex]

Decide which of the two points lies on the graph of the line
6x-2y= -4
A, -1, -1
B, -3,-2

Answers

A, -1, -1 is your answer

6(-1) - 2(-1) = -4

-6 + 2 = -4

Which is equivalent to 243 2/5 ? 3 6 9 12

Answers

9 Good luckkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer:

The answer is [tex]9[/tex]

Step-by-step explanation:

we have

[tex](243)^{\frac{2}{5}}[/tex]

we know that

[tex]a^{\frac{n}{m}}=\sqrt[m]{a^{n}}[/tex]

[tex](243)^{\frac{2}{5}}=\sqrt[5]{243^{2}}[/tex]

Remember that

[tex]243=3^{5}[/tex]

Substitute

[tex]\sqrt[5]{243^{2}}=\sqrt[5]{(3^{5})^{2}}\\ \\= \sqrt[5]{(3^{10})}\\ \\=3^{\frac{10}{5}}\\ \\= 3^{2} \\ \\=9[/tex]

If i run 5 miles in 38 minutes how many miles can i run in 57

Answers

The way you can solve this is divide 38 by 5 to find out how many miles you run per minute. In this case, it would be 7.6. Now, for each minute you run, add 7.6 to it and you will have ran 7.5 miles.

Bill earns $87.50 per week and Jack earns $70.00 per week. What percent of Bill's salary is Jack's?

Answers

I believe it is 80%. Hope that helped.

Answer:

80%

Step-by-step explanation:

Let us suppose x percent of Bill's salary is equal to Jacks's salary.

Thus, we can write

x% of 87.50 = 70

Mathematically, we can write this as

[tex]0.0x\times87.50=70[/tex]

Solve the equation for x

[tex]0.0x=\frac{70}{87.50}\\\\x=\frac{70}{87.50}\times100\\\\x=80[/tex]

Therefore, Jack's salary is 80% of Bill's salary

Twice the sum of a number and 2 is equal to three times the difference of the number and 8. find the number please help

Answers

Answer:

Step-by-step explanation:

Let n represent the number.

Twice the sum of the number and 2 is ...

2(n +2)

Three times the difference of the number and 8 is ...

3(n -8)

The problem statement tells us these quantities are equal, so ...

2(n +2) = 3(n -8) . . . . the given quantities are equal

2n +4 = 3n -24 . . . . . use the distributive property to eliminate parentheses

2n +28 = 3n . . . . . . . add 24

28 = n . . . . . . . . . . . . subtract 2n

The number is 28.

_____

Check

The sum of the number and 2 is 30; twice that is 60.

The difference of the number and 8 is 20; three times that is 60--the same number.

Which graph is represented by the following table?

The pictures show the table and graphs. The graphs are what can show which one is the answer.

Answers

the green line
x and y represents the coordinates of points on the line

Type an equation of the line that passes through the origin with the slope 3

Answers

Assuming you want slope intercept form:

So slope intercept form is:

y = mx + b

M is the slope and b is the y intercept.

So therefore:

y = 3x + 0

Or

y = 3x

The required equation of the line is y = 3x which passes through the origin with the slope 3.

What is the slope of the line?

The slope of the line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

We have to determine the equation of the line that passes through the origin with slope 3.

Let's assume slope-intercept form:

So required line in the slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

In this case, the slope of line m = 3, and the line passes through the origin

So, therefore equation will be:

y = 3x + 0 or

y = 3x

Thus, the required equation of the line is y = 3x which passes through the origin with the slope 3.

Learn more about the Slope of Line here:

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How does doubling the side lengths of a triangle affect its area?

Answers

it doubles the area of it

A lamp manufacturer uses 714 meters of electrical cord each week. The cord comes on spools that hold 12 meters each. How many spools of electrical cord does the manufacturer use each week?

Answers

divide 714 by 12

714 / 12 = 59.5 spools per week

714/12
= 59.5
The lamp manufacturer uses 59 and a half spools of electrical cord. If you round to the nearest whole number, he uses about 60 spools of cord.

50 POINTS!!

What are the missing parts that correctly complete the proof?

Answers

2. ∠JKM≅∠LKM
5. MK≅MK
6. Transitive Property of Congruence
7. Corresponding parts of congruent triangles are congruent.
8. Definition of Equidistant

Answer:- 2. ∠JKM≅∠LKM

5. MK≅MK

6. AAS congruence postulate.

7. Corresponding parts of congruent triangles are congruent.

8. Definition of equidistant.

Therefore the complete proof will be

Proof :- 1. KM is the line bisector of ∠JKL. [Given]

2. ∠JKM≅∠LKM [Definition of bisector]

3. ∠KXM and ∠KYM are right angles [Given]

4. ∠KXM ≅ ∠KYM [All right angles are congruent]

5. MK≅MK [reflexive property of congruence]

6. ΔKXM ≅ ΔKYM [AAS congruence postulate]

7. MX≅MY [Corresponding parts of congruent triangles are congruent]

8. Point M is equidistant from the sides of ∠JKL [Definition of equidistant]

Hence proved.

A basketball team played 14 games. the team's mean score was 66 points. how many total points did they score in the 14 games?

Answers

924 is the answer i think

He ages of mark and adam add up to 28 years total. mark is 20 years older than adam. how many years old is adam

Answers

you divide and ur answer is 8

MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1. less than ( I gave x a number and did both equations )

2. the equation = 400 which is greater than 35

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60 POINTS Which statement is true about this argument? Premises: If an angle measure is greater than 90°, then the angle is an obtuse angle. The measure of ∠C is 102°. Conclusion: ∠C is an obtuse angle.

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60 POINTS

Which statement is true about this argument?

Premises:
If an angle measure is greater than 90°, then the angle is an obtuse angle.
The measure of ∠C is 102°.

Conclusion:
∠C is an obtuse angle.