LMN and QRS are similar. Find the value of X.​

Answer:

√55

Step-by-step explanation:

Notice that the small triangle in the bottom corner shares an angle with the overall triangle.  Also, they are both right triangles.  Therefore, they are similar triangles.

Notice that the large triangle at the top shares an angle with the overall triangle and is also a right triangle.  Therefore it is also similar to the overall triangle and the smaller triangle.

Writing a proportion between the small and large triangles:

y / 11 = 5 / y

y² = 55

y = √55

Answer:

[tex]f(0)=7.07[/tex]

Step-by-step explanation:

We have the function [tex]f(x)=2(x)^2+5\sqrt{(x+2)}[/tex]

In this case we want to find the value of f0)

To find f(0) you must replace the x in the function with the number 0 and solve as shown below

[tex]f(0)=2(0)^2+5\sqrt{(0+2)}[/tex]

[tex]f(0)=0+5\sqrt{(0+2)}[/tex]

[tex]f(0)=5\sqrt{(2)}[/tex]

Therefore

[tex]f(0)=7.07[/tex]

Answer:

$12.50

Step-by-step explanation:

Answer:

m<PQR = 80°

Step-by-step explanation:

Points to remember

Sum angles in a linear pair is 180

To find the value of x

It is given that, angle PQR and angle RQS are linear pairs, and

m< PQR =5x+5 and m<RQS =11x-65

m<PQR + m<RQS = 180

5x + 5 + 11x - 65 = 180

16x -60 = 180

16x = 180 + 60

16x = 240

x = 15

To find the value of angle PQR

m<PQR = 5x + 5

 = 5*15 + 5

 = 75 + 5 = 80

Therefore m<PQR = 80°

If your "and" means multiplication than:

[tex]-2\times\frac{1}{3}-(-5) \\

\frac{-2}{3}+5 \\

\frac{-2+15}{3} \\

\boxed{\frac{13}{3}\approx4.33\dots}

[/tex]

If it is a logical and than we are unable to solve the problem since you didn't provide any variables that would have a meaningful values.

Hope this helps.

Answer:

(B) is the homogeneous mixture

You can always compute the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] using the pythagorean theorem:

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

In your case, we have

[tex]d = \sqrt{(0-a)^2+(a-0)^2} = \sqrt{2a^2}=a\sqrt{2}[/tex]

Answer:

[tex]\sqrt{2}a[/tex]

Step-by-step explanation:

We are asked to find the distance between point (0,a) and point (a,0) on a coordinate grid.

We will use distance formula to solve our given problem.

The distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex], where D represents distance between two points.

Let point [tex](0,a)=(x_1,y_1)[/tex] and point [tex](a,0)=(x_2,y_2)[/tex].

Substitute the values in distance formula:

[tex]D=\sqrt{(0-a)^2+(a-0)^2}[/tex]

[tex]D=\sqrt{(-a)^2+(a)^2}[/tex]

[tex]D=\sqrt{a^2+a^2}[/tex]

[tex]D=\sqrt{2a^2}[/tex]

Factor out perfect square:

[tex]D=\sqrt{2}a[/tex]

Therefore, the distance between two points would be [tex]\sqrt{2}a[/tex].

Answer:

x equal 104

Step-by-step explanation:

since 8 needs to go into something 13 times we can multiply

8 x 13 to get

104

104 divided by 8

equals 13

Answer:

x=104

Step-by-step explanation:

x/8 = 13

Multiply each side by 8

x/8 *8 = 13*8

x = 104

Subtract 11 from 5 to get -6.

Because the equation is in between two vertical lines, this means the absolute value, which is a positive value, so -6 becomes positive 6.

The answer is 6

Cancel 3 on both sides

-2y + 2y = 0

Simplify -2y + 2y to 0

0 = 0

Since both sides are equal, there are infinitely many solutions;

= Infinitely Many Solutions

[tex]

-3x+6y=9 \\

5x+7y=-49 \\ \\

-15x+30y=45 \\

15x+21y=-147 \\ \\

51y=-102 \\

\underline{y=-2} \\ \\

-3x+6\cdot(-2)=9 \\

-3x-12=9 \\

-3x=21 \\

\underline{x=-7} \\ \\

\boxed{(-7, -2)}

[/tex]

The answer is C.

Hope this helps.

r3t40

Answer:

(-7, -2) is the correct answer

Using the concept of discrete and continuous variables, the correct option is given by:

The data is discrete, so the graph is a series of unconnected points.

In this problem, the input is the number of books, which is a countable amount, that is, discrete, hence the graph is a series of unconnected points.

The graph is given at the end of the answer.

More can be learned about discrete and continuous variables at https://brainly.com/question/16978770

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Answer:

Step-by-step explanation:

The formula of a circumference:

[tex]C=2\pi r=d\pi[/tex]

r - radius

d - diameter

We have [tex]C=52\pi\ in[/tex].

Calculate the diameter using [tex]C=d\pi[/tex]:

[tex]d\pi=52\pi[/tex]                 divide both sides by π

[tex]d=52\ in[/tex]

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

If a circle inscribed in a square, then the diameter of a circle and a side of a square are congruent (have the same length).

We have the area of the square:

[tex]A=36\ mm^2[/tex]

The formula of an area of a square:

[tex]A=s^2[/tex]

s - side

Substitute:

[tex]s^2=36\to s=\sqrt{36}\\\\s=6\ mm[/tex]

The formula of a circumference [tex]C=d\pi[/tex]

d - diameter

d = s → d = 6 mm

Substitute:

[tex]C=6\pi\ mm[/tex]

The Answer is B

Hope this helps :)

To write the equation for g(x) which is a scaled version of f(x)=x^2, we can use the general form of a quadratic function y=a(x-h)^2+k. The value of a determines the scaling factor.

To write the equation for g(x) which is a scaled version of f(x)=x^2, we can use the general form of a quadratic function y=a(x-h)^2+k. The value of a determines the scaling factor. Since g(x) is a scaled version of f(x), a is the scaling factor. Therefore, the equation for g(x) is g(x)=a(x-h)^2+k, where a is the scaling factor, h is the x-coordinate of the vertex of f(x), and k is the y-coordinate of the vertex of f(x).

The scaled version of the function f(x) = x^2 is g(x) = a * x^2, where a is the scale factor determining the graph's stretch or compression.

If the function g is considered a scaled version of f(x) = x^2, it means that g will also be a quadratic function, but with a constant factor that scales or stretches the graph of f. The general form of a scaled quadratic function is g(x) = a * x^2, where a is the scale factor.

This scale factor a could be any real number. It determines whether the graph of g is narrower or wider compared to f. For example, if a is greater than 1, the graph of g will be narrower; if 0 < a < 1, the graph will be wider; and if a is negative, the graph will be reflected over the x-axis.

Answer:

Option a)72.8 sq. cm.

Step-by-step explanation:

step 1

Find the measure of the third internal angle of the triangle

Remember that

the sum of the internal angles of a triangle must be equal to 180 degrees

so

95°+35°+A=180°

A=180°-95°-35°

A=50°

step 2

Applying the law of sines

Find the length side opposite to the angle of 35 degrees

14/sin(50°)=b/sin(35°)

b=[14/sin(50)]*sin(35)

b=10.48 cm

step 3

Applying the law of sines find the area of the triangle

A=(1/2)(14)(10.48)sin(95°)=73.10 cm²

therefore

The approximate area of the triangle below is 72.8 sq. cm

Answer:

72.8 sq. cm

Step-by-step explanation:

Given:

two angles and a side of a triangle that are 95°, 35° and 14 cm receptively

Area of triangle=?

Finding 3rd angle

=180-(95+35)

= 180-130

=50

Area of triangle can be calculated by using ASA i.e.

Area= a^2sinBsinC/2sinA

Putting values of a=14, B=95, C=35 and A=50, we get

Area= 14^2(sin95)(sin35)/2(sin50)

       =98(0.74591)

        =73.099

Closest option is a)72.8 sq. cm!

Answer: c

Step-by-step explanation:

sampling variability is the difference between the measured value of the random sample and the mean age of the population

Option A demonstrates sampling variability because the mean age changes between two random samples chosen from the same population, illustrating the concept of sampling variability in statistics.

The subject of this question is a concept in statistics known as sampling variability. Sampling variability refers to the idea that the statistics of a random sample of a population (like mean, median, etc.) will vary from one sample to another. In essence, if we were to keep pulling samples from the same population, it's expected that our sample statistics will not always be the same.

In this context, the statement that demonstrates sampling variability is Option A: 'In one random sample chosen from the population, the mean age was 9.4 years. In another random sample, the mean age was 9.8 years.'. This demonstrates sampling variability because the mean age changes (varies) depending on the sample chosen from the population.

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Answer:A

Step-by-step explanation:took the test

The correct option is a. A rectangular prism measuring 5 feet by 6 feet by 8 feet and a triangular prism with the dimensions of 3 feet by 5 feet by 8 feet describes the correct dimensions of the figures.

A rectangular prism has three dimensions: length, width, and height.

A triangular prism has three dimensions: the base of the triangular face, the height of the triangular face, and the length (or depth) of the prism.

Let's examine each option based on the given dimensions:

Option a is the correct answer. It logically fits the dimensions of the shed with a larger rectangular prism for the base and a reasonably proportioned triangular prism for the roof.

In figure, the dimensions of rectangular prism are 5 feet by 6 feet by 8 feet and the dimensions of triangular prism are 3 feet by 5 feet by 8 feet.

The complete question is

The shed in Adam’s backyard is shown below.

Which correctly describes the dimensions of the figures that make up the shed?

a. a rectangular prism measuring 5 feet by 6 feet by 8 feet and a triangular prism with the dimensions of 3 feet by 5 feet by 8 feet

b. a rectangular prism measuring 3 feet by 5 feet by 8 feet and a triangular prism with the dimensions of 5 feet by 6 feet by 8 feet

c. a rectangular prism measuring 5 feet by 6 feet by 8 feet and a triangular prism with the dimensions of 3 feet by 5 feet by 6 feet

d. a rectangular prism measuring 3 feet by 5 feet by 6 feet and a triangular prism with the dimensions of 5 feet by 6 feet by 8 feet

Answer:9/20

Step-by-step explanation: 45/100=9/20, 45÷5=9, 100÷5=20 both the denominater and the numerator are divisible by 5.

To write a percent as a fraction in lowest terms, first remember that a percent is a ratio that compares a number to 100. 45% can be written as the ratio 45 to 100 or 45/100. Notice however that 45/100 is not in lowest terms so we need to dive both the numerator and denominator by the greatest common factor of 45 and 100 which is 5.

45 ÷ 5 = 9

100 ÷ 5 = 20

Therefore, 45% can be written as the fraction 9/20.

Answer:

The lines are neither parallel nor perpendicular

Step-by-step explanation:

The first step is to re-write the equations in slope-intercept form. The first equation is given as;

y = -4/5x + 3

This equation is already in slope-intercept form. Its slope is -4/5

The second equation is given as;

4x - 5y = -15

We solve for y;

-5y = -4x - 15

y = 4/5x + 3

The slope of the line is thus 4/5

Parallel lines have equal or identical slopes. The slopes of the two lines are not equal implying that the lines are not parallel. Two lines are said to be perpendicular if the product of their slopes is equal to -1.

The product of the slopes of the two lines is;

(-4/5) * (4/5) = -16/25 ≠ -1

The two lines are not perpendicular

By comparing the slopes of the given equations, y = -4/5x + 3 and 4x - 5y = -15, we find that they are negative reciprocals of each other, indicating that the lines are perpendicular.

To determine whether the given pair of equations represent lines that are parallel, perpendicular, or neither, we need to compare their slopes. The slope-intercept form of a line is y = mx + b, where m represents the slope and b represents the y-intercept.

The first equation is already in slope-intercept form: y = -4/5x + 3, so its slope is -4/5.

To put the second equation into slope-intercept form, we solve for y:
4x - 5y = -15
-5y = -4x - 15
y = (4/5)x + 3

The slope of the second line is 4/5.

Since the slopes of the two lines are negative reciprocals of each other, the lines are perpendicular.

Answer:

B. x= -1

Step-by-step explanation:

axis of symmetry is: [tex]x=\frac{-b}{2a}[/tex]

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

The axis of symmetry for the given parabola equation y = 2x²+ 4x - 1 is x = -1.

The axis of symmetry of a parabola in the form y = ax² + bx + c can be found using the formula x = -b/(2a). For the given equation y = 2x² + 4x - 1, we can identify a as 2 and b as 4. Substituting these values into the formula for the axis of symmetry gives us x = -4/(2²) = -1.

3 I believe the answer

The answer is 3. You would just match up the sides and combine the common things. 3z times z is 3z^2 because it would be the same number twice, not times two. Then 9 times 8 is 72. Z times 8 is 8z because it would be 8 times whatever number the variable was. Then lastly it’s 9 times 3 z. You’ll multiply the 9 times 3 to get 27. Then it would be 27z. 27z and 3z^2 cannot be added together because they are preforming different things. One is multiplying by the variable another is multiplying by 3 and the the variable to the 2nd power.

Hello There!

“A” 2g+17

“B” 18h-3

Have A Great Day!

Answer:

A) 2g + 17

B) 18h - 3

Step-by-step explanation:

Hello! The reasoning for A is 2 x g + 17  would be the algebraic expression for "the sum of 2 times g and 17.

the reasoning for B is the same reason as a it is the algebraic expression for "the product of 18 and h.

I hope this helped you good luck!

PLEASE GIVE A BRAINLIEST IT WOULD MEAN A LOT!

:)

Because you are required to get a positive number of centimetres we use positive value of x.

[tex]

\mid6.75-x\mid<0.25 \\

6.75-x<0.25\Longrightarrow x>6.5

[/tex]

The answer is B: The length of a part must be greater than 6.5 cm.

Answer:

57

Step-by-step explanation:

[tex] {a}^{2} + 4(3 + a)[/tex]

[tex] {5}^{2} + 4(3 + 5)[/tex]

[tex]25 + 12 + 20[/tex]

[tex]57[/tex]

answer would be the second one: Rectangle that is not a square

Answer:

B.Rectangle that is not a square.

Step-by-step explanation:

We are given that Cecile drew a 4-sides figure. it means a quadrilateral.It had 2 sides that were 3.4cm long and 2 sides that were 3.3 centimeters long.

We are given that a quadrilateral had atleast 3 right angles.

If a quadrilateral had 3 right angles then the IV angle of quadrialteral is also right angle.

In quadrlateral ABCD

[tex]\angle A=90^{\circ}[/tex]

[tex]\angle B=90^{\circ}[/tex]

[tex]\angle C=90^{\circ}[/tex]

[tex]\angle A+\angle B+\angle C+\angle D==360^{\circ}[/tex]

By angle sum property of quadrilateral

[tex]90+90+90+\angle D=360[/tex]

[tex]270+\angle D=360[/tex]

[tex]\angle D=360-270=90^{\circ}[/tex]

Hence, IV angle of quadrilateral is also right angle.

Given two sides of quadrilateral are equal and other two sides of quadrilateral are equal.Therefore, the given quadrilateral can be rectangle not square because in square four sides are of equal lengths.

Hence, the given quadrilateral can be rectangle but not square.Therefore, option B is correct.

1/8 of 480 is 480 ÷ 8

480/80 is 60

Answer ^^^^

The Answer Would Be 60

D

The larger the number the warmer it is

Answer:

D

Step-by-step explanation:

Answer:

the graph of the parabola opens upwards.

Step-by-step explanation:

For any quadratic equation of the form

[tex]ax ^ 2 + bx + c[/tex] is true that:

if the main coefficient "a" is negative then the graph of the parabola opens downwards.

If the main coefficient "a" is positive, the parabola opens upwards

In this case the parabola is [tex]y=x^2-6x[/tex]

Note that [tex]a=1[/tex] and [tex]a>0[/tex] therefore the graph of the parabola opens upwards.