If x = 5, which inequality is true?


A. -6-3x > 2
B. -4 2x < -14
C. 2 + 3x > 20
D. 8-2x <7

Answer: choice B

Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean

For answer choice A:

(root 2)^2 + (root 3)^2 = (root 4)^2

2 + 3 = 4

5 = 4

5 does not equal 4. Therefore it cannot be A.

For answer choice B:

(root 8)^2 + (3)^2 = (root 17)^2

8 + 9 = 17

17 = 17

this is true! therefore this is a right triangle and it’s B

Dimensions √17, 3, and √8 are the dimension of the right triangle. Thus, the correct option is B.

If the dimension satisfies the Pythagorean equation, then the triangle is a right-angle triangle.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. The Pythagoras theorem formula is given as,

H² = P² + B²

Let's check the second option, then we have

(√17)² = 3² + (√8)²

17 = 9 + 8

17 = 17

Thus, the correct option is B.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Answer:

12 : 24

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 = 3 parts

Divide 36 by 3 to find the value of one part of the ratio.

36 ÷ 3 = 12 ← value of 1 part of the ratio , thus

2 parts = 2 × 12 = 24

Thus

36 in the ratio 1 : 2 is 12 : 24

Answer:

13. 20%

14.7%

15. 3.5%

16.45%

17. 84%

18. 68.5%

The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.

The formula is C=2πr

Answer:

1.  32  2. You got that one correct 3.  1  5/34

Step-by-step explanation:

1. 24 / 3/4

3/4 = .75

24/ .75 = 32

3. Turn into improper fraction

13/4 / 17/6

= 1  5/34

Hope this helps dude

Answer:

20 bags

Step-by-step explanation:

1400/70

Answer:

20 bags

Step-by-step explanation:

1400 ÷ 70 = 20

The area of the triangle P’Q’R’ is 384 square units

The formula for calculating the area of a triangle is expressed as:

If the right triangle PQR has sides of length 6 units, 8 units, and 10 units is dilated by a scale factor of 4 units, hence:

Area of the triangle P’Q’R’ = 0.5(24)(32)

Area of the triangle P’Q’R’ = 384 square units

Hence the area of the triangle P’Q’R’ is 384 square units

Learn more on area of triangles here: https://brainly.com/question/17335144

Answer:

X=8

Step-by-step explanation:

46+9x-8=14x-2

46-8+2=14x-9x

40=5x

8=x

Answer:

x=8

Step-by-step explanation:

Hope this helped have an amazing day!

Answer and explanation:

Question is incomplete

Question will likely ask how much is the rest of the money paid for gas.

We use algebra to find how much is the rest of the money paid for gas

So given

total cost of the trip = $1,145.55

total cost of tickets for amusement park = $341.25

The total cost of three hotel rooms = $454.65

total cost for the show they were going to see = $153.65

Let's call rest of money spent on gas x

Hence the equation for total cost with all expenditures,

$341.25+$454.65+$153.65+x=$1,145.55

Solve for x

$949.55+x=$1145.55

x=$1145.55-$949.55

x= $196

Therefore amount spent on gas for the trip =$196

Answer:

I will try to described the smallness to the best of my ability. take two chairs - face them to each other - put a 12" square table between them leave enough room to open a 24" door and you have ...

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

area of Δ ABC is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 4x - 6 and h = 2x - 3 , then

A = [tex]\frac{1}{2}[/tex] (4x - 6)(2x - 3) ← expand using FOIL

   = [tex]\frac{1}{2}[/tex](8x² - 24x + 18) ← distribute

    = 4x² - 12x + 9

----------------------------------------------------------

Area of rectangle CBFG is calculated as

A = lb ( l is length, b is breadth )

Here l = 4x - 6 and b = 3x - 2, then

A = (4x - 6)(3x - 2) ← expand using FOIL

   = 12x² - 26x + 12

----------------------------------------------------------

Area of trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the height and b₁, b₂ the parallel bases

Here h = 2x - 3, b₁ = 4x + 1, b₂ = 2x + 3 , then

A = [tex]\frac{1}{2}[/tex] (2x - 3)(4x + 1 + 2x + 3)

   = [tex]\frac{1}{2}[/tex] (2x - 3)(6x + 4) ← expand using FOIL

   = [tex]\frac{1}{2}[/tex] (12x² - 10x - 12) ← distribute

   = 6x² - 5x - 6

Answer:

your answer is that it decreases to 7%

Answer:

28% decrease

Step-by-step explanation:

(18−25)|25|×100

=−725×100

=−0.28×100

=−28%change

=28%decrease

Answer:

√39

Step-by-step explanation:

use the Pythagorean Th because the triangle is right

8² = 5² + x²

8²-5² = x²

√64-25 = x

√39 =x

Answer:14

Step-by-step explanation:

Answer:14

Step-by-step explanation:

Answer:

63.33333333333

Step-by-step explanation:

Answer:

A drawing. I guess the sky

Step-by-step explanation:

this is a very hard question

Answer:

The radius of the sphere is 7 units

Step-by-step explanation:

Surface Area

Given a sphere of a radius (r), the surface area is given by the formula:

[tex]\displaystyle A=4\pi r^2[/tex]

If the surface area is given, we can solve for r:

[tex]\displaystyle r=\sqrt{\frac{A }{4\pi }}[/tex]

The surface area of a sphere is given A=196π.

Calculating the radius:

[tex]\displaystyle r=\sqrt{\frac{196\pi}{4\pi }}[/tex]

[tex]\displaystyle r=\sqrt{49}[/tex]

r = 7 units

The radius of the sphere is 7 units

Answer:

domain: x<2 or x>2

x-intercepts: (3/2, 0), (-3/2, 0)

Answer:

45

Step-by-step explanation:

divide 25 by 5 to see how they got that, which is 5. then multiply 9 by 5 bc you have to do the same thing, which is 45.

Answer:

5:9 = 25:45

Step-by-step explanation:

9514 1404 393

Answer:

  (-8)(1) = -8

Step-by-step explanation:

The multiplicative identity element is 1. Multiplying by 1 does not change the value. This is illustrated by ...

  (-8)(1) = -8

Answer:

angle 1

Step-by-step explanation:

it looks the biggest of all

Answer:

10.60 inches

Step-by-step explanation:

18.45

-7.85

_____

10.60 inches

Answer:

$13.41

Step-by-step explanation:

maybe, I'm not that sure :/

btw you can, can you please mark me brainliest :)

Answer:

b. 14

Step-by-step explanation:

Answer: 9/10 of the book.

Step-by-step explanation:

1. Convert all of the fractions to have a common denominator. 6, 5, and 3 are all multiples of 30, so we can convert the fractions to 30ths.

1/6 = 5/30

2/5 = 12/30

1/3 = 10/30

2. Add the fractions together to find the whole amount of the book Joyce has read.

5/30 + 12/30 + 10/30 = 27/30

3. Simplify

27/30 -> 9/10

Step-by-step explanation:

1/6 + 2/5 +1/3=

nominator × with the other fraction denominator+ second fraction nominator × with first denominator / denominator ×denominator =

1/6+2/5= 1×5+2×6/6×5=5+12/30=17/30

17/30+1/3=,17×3+1×30/30×3=51+30/90=,81/90

now let's try to simplify it.

81/90 by 9=9/10

Answer:

ASA

Step-by-step explanation: