Are the lines C and D parallel? (The figure may not be drawn to scale). Giving brainliest for whoever answers correctly

1. Yes
2.no
3. Can’t be determined

Answer:

y=1 1/2 (fraction)

or

y=1.5 (decimal)

Step-by-step explanation:

We want to get y alone, so we need to get rid of the 1/2 in front of it. To do that we can multiply each side by 2 since 1/2 + 1/2 = 1.

3/4= 1/2y

multiply each side by 2

To multiply 3/4 by 2 you need to multiply the numerators and then multiply the denominators

2•3=6 & 4 • 1 =4

6/4

simplify

y=1 1/2

(If you need it in decimal form it would be y=1.5)

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

The value of x that makes △PQR ∼ △TUV is 27.

What is the similarity of triangles?

The similarity of triangles refers to the relationship between two or more triangles in which the corresponding angles are congruent (equal in measure) and the corresponding side lengths are in proportion.

Two triangles are similar if and only if the corresponding angles are congruent and the corresponding side lengths are in proportion.

If △PQR ∼ △TUV, then we can write:

PQ/UV = QR/UT = RP/VT = k (the proportionality constant)

If we know the value of two of the sides in one triangle and the corresponding two sides in the other, we can find the value of k.

we know that,

PQ = 27, TU = 18, QR = 36, and UV = x.

We can find the value of k by using the proportionality constant:

k = PQ/UV = 27/x

Then we can use k to find the value of RP:

RP/VT  = k, so RP = k * VT

We can find the value of VT by using the similar triangles:

QR/UV = RP/VT,

QR/UV = k,       ............(RP/VT  = k)

so,

(36/18) = (27/x) * VT

VT = (2/1) * (x/27)

Finally, we can find the value of x by solving this equation:

1/x = (2/1) * (1/(27*VT))

1/x = 2/(27*VT)

1/x = (2/1) * (1/(27*((2/1) * (x/27))))

1/x = (2/1) * (1/(27*(2/1) * (x/27)

1/x = (2) * (1/(27*2) * (x/27)

1/x² = 1/729

x = 27

Hence, the value of x that makes △PQR ∼ △TUV is 27.

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There is only one semisimple c-algebra of dimension 9, up to isomorphism, and that is the algebra M3(C) of 3x3 matrices over the complex numbers.

In general, a c-algebra is semisimple if and only if it is a direct sum of matrix algebras over division rings. The dimension of a c-algebra is defined as the dimension of its underlying complex vector space.

So, for a semisimple c-algebra of dimension 9, we need to find all possible direct sums of matrix algebras over division rings whose dimensions multiply to 9. The only possible division rings are C and R, and the only possible dimensions for the matrix algebras are 1, 2, 3. After checking all possible combinations, we find that the only direct sum that works is M3(C), which is a semisimple c-algebra of dimension 9. Therefore, there is only one semisimple c-algebra of dimension 9, up to isomorphism.

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The number of cubes in the container is 8^(5) and the correct answers are 8^(5) and 8^(7)*8^(-2).

The total volume of the cubes in a container is 8^(7)  cubic centimetersand the volume of each individual cube is 8^(2) cubic centimeters. To find the number of cubes in the container, we need to divide the total volume by the volume of each individual cube.

This can be written as:

Number of cubes = 8^(7) / 8^(2)

Using the rule of exponents, when we divide two numbers with the same base, we can subtract their exponents. In this case, 7 - 2 = 5.

So the number of cubes in the container is:

Number of cubes = 8^(5)

Therefore, the correct answer is 8^(5).

The other option, 8^(7)*8^(-2), is also correct. This is because multiplying two numbers with the same base means we can add their exponents. In this case, 7 + (-2) = 5. So this also gives us the same answer, 8^(5).

In conclusion, the number of cubes in the container is 8^(5) and the correct answers are 8^(5) and 8^(7)*8^(-2).

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The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles

The conditional statement is given as:

If two angles are congruent, then they are vertical angles.

The above statement is false because not all congruent angles are vertical angles

A counterexample of this statement is a corresponding angle

i.e. corresponding angles are congruent angles, but they are not vertical angles

Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle

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The surface whose equation is given by \(3r^2 + z^2 = 1\) is a d. Sphere. It is found by using the general equation of a sphere.

In three-dimensional space, a sphere is defined as a set of all points that are a fixed distance (the radius) from a central point. The equation of a sphere in Cartesian coordinates is typically given as \((x - h)^2 + (y - k)^2 + (z - l)^2 = r^2\), where (h, k, l) represents the center of the sphere and r is the radius.

Comparing the given equation, \(3r^2 + z^2 = 1\), with the equation of a sphere, we can see that it matches the form of a sphere equation. The absence of any x and y terms indicates that the sphere is centered at the origin \((0, 0, 0)\), and the radius is determined by the coefficients of the \(r^2\) and \(z^2\) terms. Since both terms have a coefficient of 1, the radius of the sphere is 1 unit.

Therefore, the surface represented by the equation \(3r^2 + z^2 = 1\) is a sphere.

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The equation of a given situation:

                  2x - 157 = 755

Dave Winfield has 465 home runs.

Hank Aaron has 157 runs fewer than twice the runs that Dave Winfield has.

Hank Aaron hits 755 home runs.

Assume that Dave Winfield has X runs.

The equation is 2x - 157 = 755 --------------------------- (1)

solving the equation (1),

    2x - 157 = 755

⇒ 2x = 755 + 157

⇒ 2x = 912

⇒ x = 456

∴ Dave Winfield has 465 home runs.

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The density of glycerin at 60°C is approximately 19.9592 g/cm³.

To find the density of glycerin at 60°C, we can use the volume expansion coefficient and the given density at 20°C.

The formula for volume expansion is:

ΔV = β * V₀ * ΔT

where:

ΔV is the change in volume,

β is the volume expansion coefficient,

V₀ is the initial volume, and

ΔT is the change in temperature.

In this case, we want to find the change in density, so we can rewrite the formula as:

Δρ = -β * ρ₀ * ΔT

where:

Δρ is the change in density,

β is the volume expansion coefficient,

ρ₀ is the initial density, and

ΔT is the change in temperature.

Given:

ρ₀ = 20 g/cm³ (density at 20°C)

β = 5.1 x 10⁻⁴ °C⁻¹ (volume expansion coefficient)

ΔT = 60°C - 20°C = 40°C (change in temperature)

Substituting the values into the formula, we have:

Δρ = - (5.1 x 10⁻⁴ °C⁻¹) * (20 g/cm³) * (40°C)

Calculating the expression:

Δρ = - (5.1 x 10⁻⁴) * (20) * (40) g/cm³

≈ - 0.0408 g/cm³

To find the density at 60°C, we add the change in density to the initial density:

ρ = ρ₀ + Δρ

= 20 g/cm³ + (-0.0408 g/cm³)

≈ 19.9592 g/cm³

Therefore, the density of glycerin at 60°C is approximately 19.9592 g/cm³.

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1) The first step in construction of the parallel line is;  Construct another point Q different from point P that is not on the line.

2) The next step is; 4. With the compass opened to at least half of CD, draw arcs centered at C and D and label the point of intersection of the arcs E.

Parallel lines are defined as the lines that do not intersect or meet each other at any given point in a plane. This means that the lines are always parallel and equidistant from each other.
The steps to construct a parallel line passing through point P is as follows;

Step 1: Draw Line AB as shown in the figure.

Step 2: Take point P outside the line AB  as shown in the figure.

Step 3: From P to AB draw a perpendicular line PQ passing through AB.

Step 4: Now at point P, make an angle of 90 degrees and extend the line EF both sides of  P.

Step 5: EF is parallel line to AB passing through P

Looking at the options and comparing with the steps above, we can say that;

1) First step is option 2

2) Next step is option 4

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option C

PLS MAKE ME AS THE BRAINLIEST ANSWER

Answer:

The ribbon cost is $77

Step-by-step explanation:

Firstly, we need to get the 3rd side of the triangle

This represents the hypotenuse since we have 2 legs, we need the side connecting the legs

To get this, we use Pythagoras’ theorem

This states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let the hypotenuse be marked x

Thus;

x^2 = 56^2 + 33^2

x^2 = 3136 + 1089

x^2 = 4225

x = square root of 4225

x = 65 feet

So the length of all the sides will be;

56 + 33 + 65 = 154 feet

So the cost of the ribbon will be;

154 feet. * 0.5

= $77

The next three terms of the sequence is 30 ,75 ,187.5.

The fundamental cοncepts in mathematics are series and sequence. A series is the tοtal οf all elements, but a sequence is an οrdered grοup οf elements in which repetitiοns οf any kind are permitted. One οf the typical examples οf a series οr a sequence is a mathematical prοgressiοn.

Here the given sequence's first term is 12.

Now the ratio between one term to next term is 2:5.

Then,

=> 2:5 = 12:x

=> \(\frac{2}{5}=\frac{12}{x}\)

=> x = \(\frac{12\times5}{2}\) = 6*5 = 30

Now to find next term using ratio then,

=> 2:5 = 30:x

=> \(\frac{2}{5}=\frac{30}{x}\)

=> x = \(\frac{30\times5}{2}\) = 75

Now to find next term using ratio then,

=> 2:5 = 75:x

=> x = \(\frac{75\times5}{2}\) = 187.5.

Hence the next three terms of the sequence is 30 ,75 ,187.5.

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Okay here we have this:

The height of the trapezoid of 27 square inches area is 5 inches.

A trapezoid is a flat closed shape consisting of four straight sides with one pair of parallel sides. We are given that the area of a trapezoid is 27 square inches. The length of base 1 is 5 inches and the length of base 2 is 5.8 inches. We have to calculate the height of the trapezoid.

Let us assume that h represents the height of the trapezoid.

The relation among the area (A), height (h), and bases (b1, b2) of the trapezoid can be represented as :

\(A = \frac{h}{2} (b1 + b2)\)

Substituting the known values, we get

\(27 = \frac{h}{2} (5 + 5.8)\)

\(27 = \frac{h}{2} (10.8)\)

\(27 = h * 5.4\)

  \(h = \frac{27}{5.4}\)

h = 5  inches

Therefore, the height of the trapezoid is 5 inches.

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If the contractor's truck can haul 17 cubic yards per load, then 21 truckloads are needed.

Earth removed from a building site is 357 cubic yards.

A contractor's truck can haul 17 cubic yards per load.

To find how many truckloads were needed, we needed to divide the earth removed from the building site by the contractor's truck capable of hauling.

That is,  

The number of truckloads = earth removed from the building site/contractors' truck capable of hauling.

The number of truckloads = 357 cubic yards/17 cubic yards per load

The number of truckloads = 21 truckloads.

Therefore, the required truckloads are 21.

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To determine the surface area of the box, we need to find the area of each of its six sides and add them together. Let's start with the top and bottom of the box, which are both rectangles with length l and width w. The area of one of these rectangles is: l x w = 21 ft x 6 ft = 126 sq ft

Since there are two of these rectangles (top and bottom), we need to multiply this by 2 to get the total area of both:
2 x 126 sq ft = 252 sq ft

Next, let's look at the four vertical sides of the box, which are also rectangles. Each one has a height of h and a width of either l or w. The area of one of these rectangles is:
h x l = 8.5 ft x 21 ft = 178.5 sq ft

Again, there are two of these rectangles (front and back) with area 178.5 sq ft each, and two more (left and right) with area w x h = 6 ft x 8.5 ft = 51 sq ft each. So the total area of all four vertical sides is:
2 x 178.5 sq ft + 2 x 51 sq ft = 409 sq ft

Finally, we can add up the areas of all six sides to get the total surface area of the box:
252 sq ft + 409 sq ft = 661 sq ft

Therefore, the surface area of the box is 661 square feet.

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Answer:

i think its 1/16

Step-by-step explanation:

Hey there!

In order to simplify this expression, all we have to do is multiply 4 times x and -2:

4x-8

Notes:

\(\circ\) We can't simplify this expression anymore, because 4x and -8 are not like terms.

\(\circ\) A negative times a positive is a negative.

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

\(\boxed{An~Emotional~Helper~willing~to~help}\)

Answer:

Least common denominator = (x - 1)²(x - 2)

Step-by-step explanation:

Least common denominator of two rational expressions = LCM of the denominator of the expressions.

\(\frac{x^3}{x^2-2x+1}\) and \(\frac{-3}{x^{2}-3x+2}\)

Factorize the denominators of these rational expressions,

Since, \(x^{2}-2x+1\) = x² - 2x + 1

                             = (x - 1)²

And x² - 3x + 2 = x² - 2x - x + 2

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

                         = (x - 1)(x - 2)

Now LCM of the denominators = (x - 1)²(x - 2)

Therefore, Least common denominator will be (x - 1)²(x - 2).

Answer:

34-5x

Step-by-step explanation:

(12+2x-9)-(-15+7x-16)

(3+2x)-(-31+7x)

3+2x+31-7x

34-5x

In this context, the definition of random is an unbiased result of the action of flipping said coin. It has not been tampered with, nothing has been done to change the outcome, there is nothing that with make the outcome lean to one specific answer.

Answer:

2 minutes=120 seconds

(15/120) x 100=12.5 %

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

Answer:

14 weeks

Step-by-step explanation:

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

9240

Step-by-step explanation:

22

​

​

×

Vice President

21

​

​

×

Treasurer

20

​

​

Answer:

Step-by-step explanation:

9240

Answer:

They lost a total of $5.074.53

Step-by-step explanation:

I believe the question is asking how much money the company lost in these four months, so you would just add 1051.51 and 4023.02

Hope this helps! I apologize if I'm incorrect