10. Find the range of possible values for the variable.

10. Find The Range Of Possible Values For The Variable.

Answers

Answer 1

The range of possible values for the variable is x < 12

From the given figure, we can see that the side facing angle 30 degrees, is greater than the side facing angle 3x -6. Therefore the inequality expression is true based on the figure.

30 > 3x - 6

Swap sides

3x - 6 < 30

Add 6 to both sides

3x - 6 + 6 < 30 + 6

3x < 36

Divide both sides by 3

3x/3 < 36/3

x < 12

Hence the range of possible values for the variable is x < 12

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Related Questions

Given: 3(7x-9)-19x=-15
Prove: x=6

Answers

Step-by-step explanation:

3(7x-9)-19x = -15

21x-27-19x = -15

2x-27 = -15

2x = -15+27

2x = 12

x = 6

prove x = 6

Substitute x=6 into the equation.

3(7(6)-9)-19(6) = -15

3(42-9)-114 = -15

3(33)-114 = -15

99-114 = -15

-15 = -15 True✓

SOCCER Four soccer players are practicing a drill. Goalie A is facing Player B
to receive the ball. Goalie Athen turns tº to face Player A to pass her the ball. If
Goalie B is facing Player A to receive the ball, then through what angle
measure should Goalie B turn to pass the ball to Player B?

Answers

Answer:

x

Step-by-step explanation:

In a parallelogram opposite angles are equal, so if Goalie A angle is x, also Goalie B's will be x

The angle measure for Goalie B turn to pass the ball to Player B is given by the parallelogram and the angle is B = x°

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , the measure of Goalie A = x°

And , for a parallelogram

Opposite angles are congruent

So , the angle of Goalie B = angle of Goalie A

Substituting the values in the equation , we get

The angle for Goalie B = x°

Therefore , the value of B = x°

Hence , the opposite angle of parallelogram is x°

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Which value of x makes the equation true 3x-6/3 7x-3/6 ?A. -11 B. -9 C. -3 D. 3

Answers

Answer:im pretty sure its d

Step-by-step explanation:

what are the zeros of the function of y=x^2-3x+2​

Answers

Answer:

1 and 2

Step-by-step explanation:

Zeros of the function is where the function intersect with x-axis (or in other way the zeros of function is x value when y = 0 )

y=x^2-3x+2​

(we substitute y with zero)

0 = x^2-3x+2​

or in other way

x^2-3x+2​ = 0

Then we factor out the function by using the grouping method

(When we should give two numbers that there sum is equal -3 and if we multiply them we get 2)

and these two numbers are -2 and -1

x^2-3x+2​ = 0

*Substitute the middle term with -x-2x

x^2-x-2x+2​ = 0

*factor out x , then factor out -2

x(x-1)-2(x-1) = 0

*factor out x-2

(x-2)(x-1)=0

Either

x-2 = 0

So

x = 2

Or

x-1 = 0

So

x = 1

in conclusion the zeros of this function is 1,2

What is 0.27 as a percent?
A)0.27%
B)27%
C)2.7%
D)270%

Answers

Answer:

B.

Step-by-step explanation:

to turn a decimal into a percentile you have to move the decimal point over two spaces to the right.

Answer:

B

Step-by-step explanation:

Move the decimal 2 places to the left to find a percent.

Which number sentence is true?
OA) 5.6 > |-8.91
OB) |-5.6] < |-8.91
OC) -5.6 > 1-8.91
OD 15.6] > 1-8.91

Answers

The first one (when simplify) is

5.6>8.91

Which is not true if you plot it on a number line

The second one (when simplify) is

5.6<-8.91

which is not true because it is the same thing as number 1

The third one (when simplify) is

-5.6>8.91

which is obviously not true since negatives are way smaller than positives

So that leaves us the last one

Thefore the answer is OD.

I hope this helped!!

Simplify completely quantity x squared plus 12 x plus 35 all over 3 x plus 15 . (1 point)


quantity of x squared plus 21 over 3

quantity of x squared plus 11 over 3

quantity x plus 7 over 3

quantity of x plus 5 over 3

Answers

Answer:

  (c)  (x +7)/3

Step-by-step explanation:

Factor each expression and cancel common factors.

 [tex]\dfrac{x^2+12x+35}{3x+15}=\dfrac{(x+7)(x+5)}{3(x+5)}=\boxed{\dfrac{x+7}{3}}[/tex]

Answer:

C

Step-by-step explanation:

passed the quiz

the size of the angles of a quadrilateral are in the ratio 1:2:3:3. calculate the size of each angle???​

Answers

The size of the angles of a quadrilateral are in the ratio 1:2:3:3. Calculate the size of each angle. Explanation. Verified. Step 1. 1 of 2.

PLS HELP WILL GIVE BRAINLYEST

Answers

131° is the right answer

Step-by-step explanation:

the supplementary angle to 139° (left of that angle, still under the red l line) is 180 - 139 = 41°.

therefore,

A = 180 - 90 - 41 = 49°.

B is the supplementary angle to A.

B = 180 - 49 = 131°

remember, the sum of all angles around one point on one side of a line is 180° (that is called supplementary angles).

and the sum of all angles in a triangle is always 180° too.

what is the right answer
giving out brainliest

Answers

The answer is QT bisects VS

because according to the image you can see by the markings that both sides of VS are congruent being divide by QT

Hope this helps!
Brain is much appreciated!

6.True or False.
A numeral, such as 22 is called a constant.

Answers

Answer:

True

Step-by-step explanation:

The term with no variable attached to it is the constant

Answer:

te voy a devolver el susto me diste 9 veces peor

Step-by-step explanation:

What is the end behavior of the graph of the polynomial function f(x) = 3x^6 + 30x^5 + 75x^4?

Answers

Answer:

[tex]f(x)\longrightarrow\infty[/tex] as [tex]x\longrightarrow\infty[/tex]

Step-by-step explanation:

We can see that all parts of the polynomial are positive, so as x gets larger, y will also get larger.

One angle in a triangle is 4 times the size of another angle.The third angle 90, and three angles of tue triangle add up to 180.How big are the two unknown anges?

Answers

Answer:

30 degrees and 60 degrees

Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a​ real-world situation? Explain.

Answers

Using the function concept, it is found that:

Graph B is a function because each value of x corresponds to exactly one y-value.

In a function, one value of the input can be related to only one value of the output.

In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).

In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.

At Graph B, for each value of x, there is only one value of y, hence it is a function.

Hence:

Graph B is a function because each value of x corresponds to exactly one y-value.

To learn more about the function concept, you can take a look at https://brainly.com/question/12463448

Find the slope of this line.​

Answers

Answer:

5/2

Step-by-step explanation:

To find a slope you use rise over run.

The graph shows that you rise 5 for every 2 right.

Determine the intercepts of the line

Answers

Answer:

25, -55

Step-by-step explanation:

Intercepts are where the line crosses the x and y axis

x intercept = 25

y intercept = -55

Suppose y varies directly with x where y=21 when x=7 find y when x = 15

Answers

Golfkrieg ist die ganze Woche im Auto oder ist das 56357

If
f (x) = -3x + 15
find:
f (x)
-6

Answers

Answer:

33

Step-by-step explanation:

f(-6) = -3(-6) + 15

       = 18 + 15

       = 33

BRAINLIEST
Please do one or more questions

Answers

Answer:

12. ⇒ 218 °

13. ⇒ 282 °

Step-by-step explanation:

Problem 12:

Given - MK = 10 m

JK = 52 °

Since ∠LNJ = 90 °

Then LKJ = 90 °

So, KL = 90 ° - 52 ° = 38 °

Now, MK = 180 °

= MKL = MK + KL

= 180 ° + 38 °

= 218 °

Problem 13:

VYX = 360° - (YW + 15°)

YW = 180° - 117° = 63°

VYX = 360° - (63° + 15°) = 360° - 78° = 282°

Answer:

Step-by-step explanation:

Use your knowledge of isosceles and equilateral triangle‘s to find the requested information.

Find m

Answers

Answer:

48 degrees

Step-by-step explanation:

6y=8y-16

y=8

8(8)-16= ?

64-16=

Answer:

∠ P = 48°

Step-by-step explanation:

Since NM = PM then the triangle is isosceles with base angles being congruent, then

∠ P = ∠ N , that is

8y - 16 = 6y ( subtract 6y from both sides )

2y - 16 = 0 ( add 16 to both sides )

2y = 16 ( divide both sides by 2 )

y = 8

Then

∠ P = 8y - 16 = 8(8) - 16 = 64 - 16 = 48°

If the triangles are similar, which must be true? StartFraction R Y Over Y S EndFraction = StartFraction R X Over X T EndFraction = StartFraction X Y Over T S EndFraction StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction R S Over R Y EndFraction StartFraction R Y Over R X EndFraction = StartFraction R S Over R T EndFraction = StartFraction X Y Over T S EndFraction.

Answers

The correct relation between the triangles if the triangles are similar is, [tex]\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}[/tex].

Given that,

Consider [tex]\rm \triangle RST[/tex] and [tex]\rm \triangle RYX[/tex].

Triangle RST is shown.

Line XY is drawn parallel to side ST within triangle RST to form a triangle [tex]\rm \triangle RYX[/tex].

We have to determine,

If the triangles are similar, which must be true?

According to the question,

Consider [tex]\rm \triangle RST[/tex] and [tex]\rm \triangle RYX[/tex].

Triangle RST is shown.

The relationship between the triangles is line XY is drawn parallel to side ST within triangle RST to form [tex]\rm \triangle RYX[/tex].

The point X on side RT and point Y on side RS in [tex]\rm \triangle RYX[/tex].

Then,

The [tex]\rm \triangle RST[/tex] is similar to [tex]\rm \triangle RYX[/tex], the corresponding ratio of their sides are equal,

[tex]\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}[/tex]

Hence, The correct relation between the triangles if the triangles are similar is, [tex]\dfrac{RY}{RS} = \dfrac{RX}{RT} = \dfrac{XY}{TS}[/tex].

For more details about Triangle refer to the link given below.

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Answer:

B.

Step-by-step explanation:

Edge 2022

What is 6n+5=17

WHAT DOES N EQUAL TOOOOO HELPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEE

Answers

Answer:n = 2

Step-by-step explanation:

Let's solve your equation step-by-step.

6n+5=17

Step 1: Subtract 5 from both sides.

6n+5−5=17−5

6n=12

Step 2: Divide both sides by 6.

[tex]\frac{6n}{6} =\frac{12}{6}[/tex]

[tex]n=2\\[/tex]

I hope this help's :)

Answer:

n = 2

Step-by-step explanation:

[tex]6n + 5 = 17 \\ \: \: \: \: \: \: \ - 5 \: \: \: \: - 5 \\ - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \frac{6n}{6} = \frac{12}{6} \: \: \: \: \: \: \: \: \: \: \\ n = 2[/tex]

Hope this helps! Brainliest would be really appreciated!

Which frequency table is consistent with the histogram of weights of 86 different students, below?

Answers

Answer:

 B

Step-by-step explanation:

The incorrect tables each have at least one flaw that makes it not match the histogram.

A. The relative frequency associated with 4 of 86 is about 0.047, not 0.055. The relative frequencies are incorrect.

B. this table matches the histogram

C. The "bins" are not of uniform width, nor are they centered on the same values as shown in the histogram.

D. The values in a cumulative frequency table should be non-decreasing. The table value of 24 should be 54.

Pls help me 15 points total

Answers

It’s 738 text me if you need anything else

I need help with this Graph!

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary). (-6,3) and (3, -9)

find leg number 1 and leg number 2 and the distance​

Answers

Answer:

Step-by-step explanation:

The distance between two points (-6, 3) and (3, -9) is 10.81 units.

We have a graph a right triangle with the two points A(-6,3) and B(3, -9) forming the hypotenuse.

We have find the distance between the two points using only the sides of the right triangle.

What is the formula to find the distance between the two points on Cartesian plane ?

The distance between two points -

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

According to the question, we have -

Coordinates of Point A = (- 6, 3)

Coordinates of Point C = (3, -9)

Now -

Coordinates of Point B will be (- 6, -9) [formed by the intersection of sides].

Distance AB -

[tex]AB = \sqrt {\left( {-6 - (-6) } \right)^2 + \left( {3 - (-9 } \right)^2 }[/tex]  = 6 units

Distance BC -

[tex]BC = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {-9 - (-9 } \right)^2 }[/tex] = 9 units

Using the Pythagoras theorem -

[tex](AC)^{2} =(AB)^{2} +(BC)^{2}[/tex]

[tex](AC)^{2} =[/tex] 36 + 81

AC = [tex]\sqrt{117}[/tex] = 10.81

Hence, the distance between two points (-6, 3) and (3, -9) is 10.81 units.

To solve more questions on Distance formula, visit the link below -

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Can someone help me with this question?

Answers

Answer:

radius, center, chord, diameter

Step-by-step explanation:

a. radius

b. center

c. chord

d. diameter

Radius,center,chord,diameter

There is a line that includes the point (8,3) and has a slope of 1. What is its equation in slope-intercept form?

Answers

Answer:

y=x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=1(x-8)

y-3=x-8

y=x-8+3

y=x-5


Here is the equation of a circle: x2 + y2 + 12x + 2y + 12 = 0
Find the center and radius of the circle.

Answers

Answer:

centre = (- 6, - 1 ) , radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Given

x² + y² + 12x + 2y + 12= 0

Collect the x- terms and the y- terms together and subtract 12 from both sides

x² + 12x + y² + 2y = - 12

Using the method of completing the square

add ( half the coefficient of the x / y coefficients )² to both sides

x² + 2(6)x + 36 + y² + 2(1)y + 1 = - 12 + 36 + 1

(x + 6)² + (y + 1)² = 25 ← in standard form

with (h, k ) = - 6, - 1 ) as centre and r = [tex]\sqrt{25}[/tex] = 5

A standard die is rolled find the probability that the number rolled is greater than 4 Express your answer as a fraction in lowest terms or a decimal number rounded to three decimal places if necessary

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

A standard die has 6 numbers, so the probability it will be greater than 4 is 6-4, or 2. Therefore the answer is [tex]\frac{2}{6}[/tex], but this can be simplified to [tex]\frac{1}{3}[/tex].

pls pls pls help meeeee

Answers

Answer:

What do you need help with?

Step-by-step explanation:

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