What is the value of x

First, let's square all the given measures, so we have 25, 27, 4, and 49. For three measures to form the sides of a right triangle, two of these squares have to add up to the third.

By inspection, we see that the measures of [tex]\boxed{5,\sqrt{27},7}[/tex] form a right triangle, since [tex]25+27=49.[/tex]

Answer:

1209

Step-by-step explanation:

v= pi* r^2* h         r= d/2

soda:

d = 2    r = 1

h = 5

grabage:

d = 24   r = 12

h = 42

volume G: 19000.35

volume S: 15.71

volume G/ Volume S = # of soda cans

Answer:

Option B; False

Step-by-step explanation:

Consider a Triangle Inequality to prove that these segments could form a triangle;

[tex]| a - b | < c < a + b,\\| c - a | < b < a + c,\\| c - b | < a < b + c, Considering - a - segment AC ( 8 units ) - b - BC ( 7 units ), - c - BC ( 15 units )\\\\| 8 - 7 | < 15 < 8 + 7,\\1 < 15 < 15, Now 15 is not < 15, it is =, thus ;\\Solution ; False[/tex]

These segments could not form a triangle

Answer:yeah ❤️

Step-by-step explanation:

te tree♾

Answer:

y=x-3

or the 3rd option.

Answer:

384 3/4

341 1/4

box A

Step-by-step explanation:

The volume of the box is given by the formula:

Volume = length * width * height

The volume of the box A is:

Volume_A = 9.5 * 3 * 13.5 = 384.75 cm3 = 384 3/4 cm3

The volume of the box B is:

Volume_B = 10 * 3.25 * 10.5 = 341.25 cm3 = 341 1/4 cm3

The volume of the box A is greater than the volume of the box B, so Megan should use the box A

Answer:

B

Step-by-step explanation:

The red line is y = 2x + 3 and the blue line is y = -2x - 4. The solution will be shaded on the left side of the red line and below the blue line which is Graph B.

Answer:

B

Step-by-step explanation:

Check the inequalities

Hey!!!

It is a right angle.

The answer is yes; 4^2+3^2=5^2 [option D]

please see the attached picture for full solution

Hope it helps

Answer:

D.

Step-by-step explanation:

The two types of angle measurements are:

1) Degrees ( ° )

2) Radians ( r)

Answer:

a) see the attached file

b) Coordinates of vertex = (0, 4)

Step-by-step explanation:

Given:

Focus of parabola is [tex](0,7)[/tex] and the directrix is [tex]y=1[/tex]

To sketch: the parabola

To find: coordinates of the vertex

Solution:

As the focus lies on the y-axis and y-coordinate of the focus is positive,

equation of parabola is [tex](x-h)^2=4p(y-k)[/tex]

Here, [tex](h,k)[/tex] denotes the vertex of parabola, focus is [tex](h,k+p)[/tex] and the directrix is [tex]y=k-p[/tex]

According to question,

[tex](h,k+p)=(0,7)[/tex]

[tex]k-p=1[/tex]

So, [tex]h=0[/tex]

[tex]k+p=7\,,\,k-p=1[/tex]

On adding these equations,

[tex]k+p+k-p=7+1\\2k=8\\k=4[/tex]

Put [tex]k=4[/tex] in [tex]k+p=7[/tex]

[tex]4+p=7\\p=7-4\\p=3[/tex]

So, equation of parabola is [tex](x-0)^2=4(3)(y-4)\Rightarrow x^2=12(y-4)[/tex]

For part a), see the attached file.

b)

Coordinates of vertex = [tex](h,k)=(0,4)[/tex]

Answer:

(8x-9)(8x+9)

Step-by-step explanation:

64x^2 - 81

Rewriting

(8x)^2 - 9^2

We recognize that this is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(8x-9)(8x+9)

Answer:

(8x+9)(8x-9)

Step-by-step explanation:

64x^2= 8x*8x

-81= 9*-9

Answer:

Step-by-step explanation:

1. not equivalent

2. not equivalent

3. fully simplified

4.not fully simplified

5. not fully simplified

6. not fully simplified

Answer:

C

Step-by-step explanation:

The angle adjacent to x on XY = 115° ( corresponding angle )

This angle and x are adjacent and supplementary , thus

x = 180 - 115 = 65 → C

Answer:

65⁰

Step-by-step explanation:

x + 115⁰ = 180⁰ (co exterior)

x = 180 - 115 = 65⁰

Answer:

D) AB = AB  

Step-by-step explanation:

The reflexive property states that a value is equal to itself: x = x.

The reflexive property of length states that a length is equal to itself:

AB = AB

A) and C) are wrong. They represent the reflexive property of angles.

B) is wrong. It represents the symmetric property of length.

Answer:

D

Step-by-step explanation:

Answer:

See the explanation.

Step-by-step explanation:

The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse (diagonal, longest side) of the triangle.

We can see that the legs are labeled 15 (blue) and 8 (red). Substitute that into the equation.

(8)^2 + (15) ^2 = c^2

From there, we can simplify and solve for c.

64 + 225 = c^2. Add.

289 = c^2. Take the square root.

c = 17.

I hope this helps!

Answer: 17

Pro tip: 3/4/5, 5/12/13 and 8/15/17 are the first three Pythagorean Triples on the list and teachers like to use them for problems.  The multiples also come up, like 6/8/10.  Learn these and save yourself some calculation down the road.

Let's do it like they want

a² + b² = c²

8² + 15² = c²

64 + 225  = c²

289 = c²

√289 = √c²

17 = c

Answer:

x<32

Step-by-step explanation:

Answer:

t > 32

Step-by-step explanation:

Answer: -20

Step-by-step explanation:

We can set up an equations with the conditions we are given. Let's use x for the missing number.

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

2x-8=3x+12

-20=x

Answer:

see below

Step-by-step explanation:

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

sum is addition

difference is subtraction

2 is multiply by2

solve 2(x-4) =3(x+4) distribute on both sides

2x - 8 = 3x + 12 add 8 on both sides

2x = 3x + 20 subtract 3x on both sides

-x = 20 multiply by -1

x = -20

Answer:

The number line should have a filled in dot at -3 and should extend to the left where it is negative.

Step-by-step explanation:

If -3 is greater than or equal to c, then c has to be equal to -3 or smaller. So, the number line should include -3 with a filled in dot and should extend to the left of -3 where the more negative numbers are.

Answer:---> or o---> i think

Step-by-step explanation:

Answer:

9.5 feet

Step-by-step explanation:

So let's review the equations we need to know.

Circumference= π x d or π x 2r

Since we are solving for r, let's stick with the 2nd one.

Next, plug in the values.

59.66=3.14 x 2r

simplify.

59.66=6.28r

9.5=r

done!

the radius is 9.5 feet!

Answer: $2,000

Step-by-step explanation:

Your insurance companies limit is 25,000. You only need 2,500 but there is a deductible. You will get 2k

Answer:

C would be irrational.

Step-by-step explanation:

Irrational means that you cannot make a distinct ratio with the number. One of the more famous irrational numbers are π. You cannot make π into a fraction with whole numbers for a numerator and denominator.

Other examples of irrational numbers are square roots that are not perfect square roots. C is not a perfect square so it is irrational.

Answer:

D. 2:1

Step-by-step explanation:

Imagine a line that is parallel to the top of the square that passes thru point O

that would make two more triangles. The two in the top would be equal and the two in the bottom would be equal.

Therefore, the area of square KLMN is two times the area of triangle LOK

Answer:

D. 2:1

Step-by-step explanation:

ratio of areas:

Answer: 2:1 option D

Answer:

81 yards

Step-by-step explanation:

Answer:

3+2c

Step-by-step explanation:

To translate the phrase into an algebraic expression, you have to analyze the information provided. Three dollars more than twice the cost of a bowl of soups means that given that c is the costs of a bowl of soup, you have to multiply c for 2 as the phrase says twice the cost. Also, it says three dollars more which means that you have to add 3. According to this, the expression is: 3+2c.

Answers:

1. 90in^2       2. 238cm^2

Step-by-step explanation:

For the first one:

6•3=18

6•3=18

3•3=9

3•3=9

6•3=18

6•3=18

Now we add them all up:

18+18+9+9+18+18=90in^2

For the second one:

7•5=35

7•5=35

7•7=49

7•7=49

7•5=35

7•5=35

Now we add them all up:

35+35+49+49+35+35=238cm^2

Answer:

A and B

Step-by-step explanation:

Do the vertical line test! A and B pass the test, however the circle doesn't. That means the circle is not a function.

Answer:

What does the graph look like

Step-by-step explanation:

The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values aren't equal. But several inequalities are utilised to compare the numbers, whether they're less than or higher than.

The different inequality representations, properties, and methods for resolving linear inequalities throughout one variable or two variables will all be covered in this article along with examples. The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.

Therefore, the inequalities have no solution since their graph does not intersect or overlap.

To know more about inequalities, here:

https://brainly.com/question/29166625

#SPJ7

Answer:

x = -6

Step-by-step explanation:

-13x=78

Divide each side by -13

-13x/-13 = 78/-13

x =-6

Answer:

x = -6

Step-by-step explanation:

-13x = 78

x = 78/-13

x = -6