Which statement most accurately describes this figure?​

Answer:

Yes

Step-by-step explanation:

It can be 6 units. The rule relating to the sides of the triangle is that you should be able to add two sides and get a length that is longer than the third side. You usually add the lower two numbers because it basically says that it will work for all sides but, if you're still in doubt you just have to compare the numbers.

For Example

3+5 is greater than 6

5+6 is greater than 3

6+3 is greater than 5.

All of these makes sense so 6 can be a possible answer.

In triangle EFG, it is not possible for segment GE to measure 6 units.

No, it is not possible for segment GE to measure 6 units in triangle EFG.

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Since segment EF measures 3 units and segment FG measures 5 units, the sum of these two sides is 8 units, which is less than 6 units. Therefore, segment GE cannot be 6 units long in triangle EFG.

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Answer:

-5

Step-by-step explanation:

What is the slope of the line represented by the equation y = – – 5x

The equation of the line is given in slope-intercept form. The slope is simply the coefficient of x in the equation.

The slope of the line is thus -5

Answer:

D.

Step-by-step explanation:

A term in a polynomial is a single number or a number multiplied by any number of variables. A polynomial is a sum of terms.

The only thing that can be done with variables in a polynomial is to multiply them by numbers or other variables. In a polynomial, you cannot: divide by a variable (have a variable in a denominator), have a root of a variable, have a log of a variable, have a variable as an exponent, etc.

All expressions are polynomials except for D. In D., the negative exponents mean division by variables.

Answer:

x=1

Step-by-step explanation:

We distribute the negative 5 to x minus three to get 8x-5x+15=18. Then, we cancel out the 15 by subtracting it from both sides. This leaves us with 8x-5x=3. When we subtract, we get 3x=3, and when we divide both sides by 3, we get x=1. Hope this helps :)

Answer:

Solve the equation

[tex]\displaystyle \frac{8.8 + 9.5 + 9.2 + x}{4} \ge 9.1[/tex],

where [tex]x[/tex] is the minimum score of the fourth judge.

At least 8.9 points.

Step-by-step explanation:

Let the score of the fourth judge be [tex]x[/tex].

The average score is the sum of the four judges' score divided by the number of scores. That is:

[tex]\displaystyle \text{Average Score} = \frac{8.8 + 9.5 + 9.2 + x}{4}[/tex].

The minimum average score needs to be greater than or equal to [tex]9.1[/tex]. In other words,

[tex]\displaystyle \frac{8.8 + 9.5 + 9.2 + x}{4} \ge 9.1[/tex].

Multiply both sides of by four.

[tex]8.8 + 9.5 + 9.2 + x = 4\times 9.1[/tex].

Subtract [tex]8.8 + 9.5 + 9.2[/tex] from both sides of the equation:

[tex]x = 4\times 9.1 - (8.8 + 9.5 + 9.2) = 8.9[/tex].

In other words, the minimum score of the last judge is [tex]8.9[/tex] for Julie to move on.

Answer:

18

Step-by-step explanation:

To find the number of adults required, take the number of students and divide by 15

270/15 =18

We require 18 adults

Answer:

18

Step-by-step explanation:

pls mark me brainiest

Answer:

240mg

Step-by-step explanation:

The patient takes 60mg the first day, 45mg the second and third day, 30mg the fourth and fifth day and 15mg the sixth and seventh day.

The amount of miligrams the patient will take is the following:

mg = 60mg + 2×45mg + 2×30mg and 2×15mg = 240mg

Then, the patient will take in total 240mg!

Answer: [tex]240 mg[/tex]

Step-by-step explanation:

We need to analize the information provided.

On day 1: [tex]60\ mg[/tex]

On day 2:  [tex]45\ mg[/tex]

On day 3:  [tex]45\ mg[/tex]

On day 4: [tex]30\ mg[/tex]

On day 5: [tex]30\ mg[/tex]

On day 6: [tex]15\ mg[/tex]

On day 7: [tex]15\ mg[/tex]

Then, to find the total mg the patient will take, we need to add the mg of each day. Therefore:

[tex]Total=60\ mg+45\ mg+45\ mg+30\ mg+30\ mg+15\ mg+15\ mg=240\ mg[/tex]

Answer:

Step-by-step explanation:

[tex]s(x)=x-7,\ t(x)=4x^2-x+3\\\\(t\circ s)(x)=t\bigg(s(x)\bigg)-\text{exchange x to }\ s(x)=x-7:\\\\(t\circ s)(x)=4(x-7)^2-(x-7)+3[/tex]

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cutoff point with the y axis

To find the slope two points are needed through which the line passes:

[tex]m = \frac {y2-y1} {x2-x1}\\m = \frac {8-8} {- 5 - (- 2)} = \frac {0} {- 5 + 2} = \frac {0} {- 3} = 0[/tex]

THE equation is of the form:

[tex]y = b[/tex]

We substitute the y coordinate of the point (2,8)

[tex]8 = b[/tex]

Then, [tex]y = 8[/tex]

Answer:

[tex]y = 8[/tex]

Answer:14

Step-by-step explanation:Here h(x) is the function of x.So if you put the value of x in the expression,3x-4, you will get the answer of h(x)

h(x)=3x-4

h(6)=3×6-4

= 18-4

=14

All you need to do is just replace the value ,6 with x..

Answer:

Fraction: 70/100

Decimal: 0.7

Percent: 70%

Answer:

The answer is:

Fraction: 7/10

Decimal: 0.7

Percent: 70

Step-by-step explanation:

There are 70 colored squares and 100 squares in total. The fraction is 70/100, which can be simplified to 7/10.

One way to convert the fraction 7/10 to decimals is to divide the numerator (7) by the denominator (10). That gives you the decimal 0.7.

A way you can convert the decimal to percent is to multiply 0.7 by 100. You get 70%. Also, there are 70 colored squares out of 100, so that equals 70%.

I hope this helped! :)

Answer:

Option D

Step-by-step explanation:

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

In plain English, the definition means:

The range is the resulting y-values we get after substituting all the possible x-values.

How to find the range

1.The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)

2. Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)

3. Make sure you look for minimum and maximum values of y.

4. Draw a sketch! In math, it's very true that a picture is worth a thousand words.

Answer:

P 1 red) = 1/3

Step-by-step explanation:

We have 12 marbles (3+4+5)

P(red) = red marbles/ total marbles

          = 4/12 = 1/3

Answer:

4 / 12 or 1/3

Step-by-step explanation:

The total is 3 blue, 4 red and 5 green marbles which is 12 marbles altogether.

There is exactly 4 marbles out of the 12 marbles that are red so the probability of choosing a red is 4 / 12 or 1/3

Answer:

D

Step-by-step explanation:

because we know that angle EOD is less the 90 so that means that it is complementary. For AOB it is  the same but we can check by adding 35 plus x plus 90 =180 degrees  so 35+90=125  x=180-125=55 so x=55 and 55 is less then 90  so it is a complementary angle.

Step-by-step explanation:

[tex]\sqrt{15}\cdot\sqrt{17}=\sqrt{(15)(17)}=\sqrt{255}\\\\\text{Used}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}[/tex]

Answer:

a. 64 tickets.

b. $11.

Step-by-step explanation:

[tex]y[/tex] is given as [tex]37[/tex], and the question is asking for the value of [tex]x[/tex].

Solve this equation with respect to [tex]x[/tex].

[tex]0.50x + 5.00 = 37[/tex].

Subtract 5.00 from both sides of this equation:

[tex]0.50x = 32[/tex].

[tex]\displaystyle x= \frac{32}{0.50} = 64[/tex].

In other words, 64 tickets were purchased.

[tex]x = 12[/tex], and the question is asking for the value of [tex]y[/tex].

Replace [tex]x[/tex] with 12 and evaluate the expression [tex]y = 0.50x + 5.00[/tex] for [tex]y[/tex].

[tex]y = 0.50\times 12 + 5.00 = 11.00[/tex].

In other words, $11.00 were spent.

Answer:

The coordinates of her new position are (0 , -5) ⇒ answer B

Step-by-step explanation:

* Lets revise some translation

- If the point (x , y) translated horizontally to the right by h units

 then the new point = (x + h , y)

- If the point (x , y) translated horizontally to the left by h units

 then the new point = (x - h , y)

- If the point (x , y) translated vertically up by k units

 then the new point = (x , y + k)

- If the point (x , y) translated vertically down by k units

 then the new point = (x , y - k)

* Now lets solve the problem

∵ Nancy start from position (2 , -3)

- She walks 5 blocks to the right and 3 blocks down

∴ Add x-coordinate by 5 and subtract y-coordinate by 3

∵ The starting position is (2 , -3)

∴ The new position is (2 + 5 , -3 - 3) = (7 , -6)

- She walks 7 blocks to the left and 1 block up

∴ Subtract x-coordinate by 7 and add the y-coordinate by 1

∴ The new position is (7 - 7 , -6 + 1) = (0 , -5)

* The coordinates of her new position are (0 , -5)

Answer:

b

Step-by-step explanation:

Check the picture below.

recall the ambiguous SSA case, as the "12" side moves, it ends up with two supplementary angles on the base.

Answer:

The vertices are E , H , G , F , L , K , J , I

The edges are EH , HG , GF , FE , IF , JG , KH , LE , LK , KJ , JL , IL

The bases are EFGH and LIJK

Step-by-step explanation:

* Lets talk about the figure

- It is a trapezoid prism

- It has two bases ( trapezoid bases )

- It has has four side faces (rectangular faces)

- It has has twelve edges

- It has eight vertices

* lets solve the problem

∵ It has 8 vertices

∴ Their names are:

  E , H , G , F , L , K , J , I

∵ It has 12 edges

∴ Their names are:

  EH , HG , GF , FE , IF , JG , KH , LE , LK , KJ , JL , IL

∵ It has two bases

∴ Their names are:

  EFGH and LIJK

[tex]12=2\cdot7+1\\12=15[/tex]

[tex]LHS\not=RHS[/tex] so no, it isn't on the line.

Answer:

[tex]-3,\ -1,\ 1[/tex]

Step-by-step explanation:

You are given the relation

[tex]R=\{(-3,-2),\ (-3,0),\ (-1,2),\ (1,2)\}[/tex]

The domain of the relation are all possible inputs and the range of the relation are all possible outputs. In your case,

So,

Answer:

-3, -1, and 1

Step-by-step explanation:

hope that helps :)

Answer:

2

Step-by-step explanation:

4x = 32 - x2 would be much clearer if written as 4x = 32 - x^2.  Please use

" ^ " to indicate exponentiation.

Rewrite 4x = 32 - x^2 in the standard form of a quadratic:  x^2 + 4x - 32

Then the coefficients are a = 1, b = 4 and c = -32.

Find the discriminant.  It is b^2-4ac.  

Here, b^2-4ac = 4^2 - 4(1)(-32), or 16 + 128, or 144.

Because the discriminant is positive, we know immediately that this quadratic has two real, unequal roots.

So, the answer to this question is "the graph of 4x = 32 - x^2 cross the x-axis in two places."

Answer:

How many times does the graph of 4x = 32 - x2 cross the x-axis?

2

What are the solutions to the equation?  

✔ 4, -8

Step-by-step explanation:

The expression that describes his father's age is A. 3x - 4

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Marcy determined that her father's age is four less than three times her age.

Assuming Marcy's age to be x.

∴ The equation that describes her father's age is (3x - 4).

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The correct expression that represents her father's age is A.[tex]\(3x - 4\).[/tex]

To arrive at this conclusion, let's analyze the given information:

Marcy determined that her father's age is four less than three times her age. Let's denote Marcy's age as x. According to the statement, her father's age can be expressed as three times Marcy's age minus four years.

Mathematically, this can be written as:

[tex]\[ \text{Father's age} = 3 \times \text{Marcy's age} - 4 \][/tex]

Substituting x for Marcy's age, we get:

[tex]\[ \text{Father's age} = 3x - 4 \][/tex]

Now, let's evaluate the other options to confirm that they are incorrect:

B. x - 4: This expression suggests that the father's age is four years less than Marcy's age, which does not match the given information that the father's age is four less than three times Marcy's age.

C. 4x - 3: This expression indicates that the father's age is three years less than four times Marcy's age, which again does not align with the given information.

D. 4 - 3x: This expression would imply that the father's age is calculated by subtracting three times Marcy's age from four, which is not the relationship described in the problem.

Therefore, the only expression that correctly represents the father's age based on the given information is A. [tex]\(3x - 4\).[/tex]

When estimating the amount of paint needed, Janice should strive for an accurate estimate to avoid running out of paint or wasting excess. Factors to consider include the size of the apartment, the type of paint, and the need for multiple coats.

When estimating the amount of paint needed, Janice should strive for an accurate estimate to avoid running out of paint or wasting excess. Since the store sells paint in one-gallon cans, it is best to estimate in whole gallons. However, if Janice wants a more precise estimate, she can consider the following factors:

By considering these factors and making an accurate estimate, Janice can ensure that she buys the right amount of paint for her new apartment.

Answer:

About 30

Step-by-step explanation:

1ST: see how many odd numbers are in 1-6 (which is 3)

2nd: Divide 64 by 3 (when rounded it equals around 30)

Answer:

There are 12 multiple choice

Step-by-step explanation:

Let m = multiple choice

f = free response

f+m = 15 since there are 15 questions

3m+5f = 51  since we have 51 minutes and 3 for multiple choice and 5 for free response

We have 2 equations and 2 unknowns

m+f = 15

3m+5f = 51

Multiply the first equation by -3

-3(m+f) = -3*15

-3m -3f = -45

Add this to the second equation

-3m-3f = -45

3m+5f = 51

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

        2f = 6

Divide by 2

2f/2 = 6/2

f = 3

There are 3 free response.

m+f = 15

m+3 = 15

Subtract 3 from each side

m+3-3=15-3

m=12

There are 12 multiple choice

Answer:

x = 6

Step-by-step explanation:

Since the line segment is an angle bisector then the following ratios are equal

[tex]\frac{42}{78}[/tex] = [tex]\frac{6x-1}{10x+5}[/tex] ( cross- multiply )

78(6x - 1) = 42(10x + 5) ← distribute parenthesis on both sides )

468x - 78 = 420x + 210 ( subtract 420x from both sides )

48x - 78 = 210 ( add 78 to both sides )

48x = 288 ( divide both sides by 48 )

x = 6

Answer:

Step-by-step explanation:

Find the discriminant, b^2-4ac:  Here a = 1, b = -5 and c = 5.

Then the discriminant is (-5)^2-4(1)(5) = 5, and so there are 2 real, different roots.  The roots are:

      -(-5) ±√5

x = ----------------,   which correspond to answers A and C.

           2(1)

The roots of the equation will be (5 - √5) / 2 and (5 + √5) / 2. Then the correct options are A and C.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The quadratic equation is given below.

x² - 5x + 5 = 0

Then the root of the equation is given as

[tex]\rm x = \dfrac{ - (-5) \pm \sqrt{(-5)^2 - 4*1*5}}{2*1}\\\\x = \dfrac{5 \pm \sqrt{25-20}}{2}\\\\x = \dfrac{5 \pm \sqrt5}{2}\\\\x = \dfrac{5 - \sqrt5}{2}, \dfrac{5 + \sqrt5}{2}[/tex]

Thus, the correct options are A and C.

More about the quadratic equation link is given below.

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Answer:

see explanation

Step-by-step explanation:

Given

x + 4y = 36

To find the x- intercept, let y = 0 in the equation and solve for x

x + 0 = 36 ⇒ x = 36 ← x- intercept

To find the y- intercept let x = 0 in the equation and solve for y

0 + 4y = 36 ⇒ y = 9 ← y- intercept

Answer:

x-intercept is 36; y-intercept is 9.

Step-by-step explanation:

Given equation of the line,

[tex]x+4y=36[/tex]

For x-intercept ( the point at which the line intersects the x-axis ),

y = 0,

[tex]\implies x+4(0) = 36[/tex]

[tex]x=36[/tex]

⇒ The value of x-intercept is 36,

Now, for y-intercept( the point at which the line interests the y-axis )

x = 0,

0 + 4y = 36

⇒ y = 9

⇒ The value of y-intercept is 9.

Hence, first option is correct.

Answer:

B

Step-by-step explanation:

it is a simple exchange for goods and services because, is stores value for later use.