write a rational function that has a vertical asymptote of x=5 and a horizontal asymptote of y=0

Given:

The diagram.

To find:

(a) [tex]m\angle SQT[/tex]

(b) [tex]m\angle QRW[/tex]

(c) [tex]m\angle PRV[/tex]

Solution:

(a)

If two lines intersect each other at a point, then the vertically opposite angles are equal.

[tex]m\angle SQT = m\angle PQR[/tex]          (Vertically opposite angles)

[tex]m\angle SQT = 36^\circ[/tex]

Therefore, the measure of angle SQT is 36 degrees.

(b)

If a transversal line intersect two parallel lines, then the alternate interior angles are equal.

[tex]m\angle QRW = m\angle PQR[/tex]       (Alternate interior angles)

[tex]m\angle QRW = 36^\circ[/tex]

Therefore, the measure of angle QRW is 36 degrees.

(c)

It is given that the angles PRV and angle PRQ are congruent.

Let the measures of angle PRV and angle PRQ are x degrees.

[tex]m\angle PRV+m\angle PRQ+m\angle PQR=180^\circ[/tex]      (Adjacent interior angles are supplementary)

[tex]x+x+36^\circ=180^\circ[/tex]

[tex]2x=180^\circ -36^\circ[/tex]

[tex]2x=144^\circ[/tex]

Divide both sides by 2.

[tex]x=\dfrac{144^\circ}{2}[/tex]

[tex]x=72^\circ[/tex]

Therefore, the measure of angle PRV is 72 degrees.

The construction is missing, so i have attached it.

Answer:

Use the incenter to determine the center to construct the circle.

Step-by-step explanation:

From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.

Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.

Answer:72

Step-by-step explanation:

Answer: the answer is D

Step-by-step explanation:

Answer:

y=2/3+3

Step-by-step explanation:

Angle A in triangle ABC is approximately 76 degrees. So, correct option is A.

In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. Let's consider triangle ABC, where angle B is the right angle, AC is the hypotenuse, and BC is one of the legs.

We are given that AC = 33 and BC = 32. To find angle A, we can use trigonometric ratios. In this case, we can use the sine function.

The sine of angle A is defined as the ratio of the length of the side opposite angle A (BC) to the length of the hypotenuse (AC):

sin(A) = BC / AC

Substituting the given values, we have:

sin(A) = 32 / 33

Using the inverse sine function (sin⁻¹), we can find the value of angle A:

A = sin⁻¹(32 / 33)

Using a calculator, we find that angle A is approximately 75.85 degrees. Rounding off to the nearest angle we get 76 degrees.

Therefore, angle A in triangle ABC is approximately 76 degrees. So, correct option is A.

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Answer:

38°

Step-by-step explanation:

The angles in a triangle always add up to 180 degrees.

Therefore, all the angles in the triangle given in the question add up to 180 degrees.

So, let's create an equation and solve for [tex]x[/tex]:

[tex]x+44 + 63 + 85 + x = 180[/tex]

Simplify:

[tex]2x + 192=180[/tex]

Solving for [tex]x[/tex] we get:

[tex]2x=-12\\x=-6[/tex]

Now, let's put the value of [tex]x[/tex] we got into the formula for angle A.

[tex]x+44=y[/tex]

[tex]-6+44=y=38[/tex]

Answer:

This question has incorrect answers but the answer that they are looking for is: 24 hours

Step-by-step explanation:

The average is the total hours divided by the number of weeks

So far Emily has 6 hours for the first 3 weeks, x is the number of hours she needs to work in the 4th week.  

(6+x)/4=10

6+x = 40

x = 34

All the answers they gave are wrong because they did not account for the 4th week while taking averages.

Answer:

5.94g

Step-by-step explanation:

4.14+1.8=5.94gram

Answer:

r=5.86%

Step-by-step explanation:

Answer:

C=hypotenuse [h]=50 feet

A=[base]=40foot.

B=perpendicular [p]=?

Area =?

we have

By using Pythagoras law

p²+b²=h²

B²=40²=50²

B²=50²-40²

B=√900

B=30feet

we have

Area of triangle =½×A×B=½×30×40=600feet²

the roped off area is 600 square feet.

it is a right angled triangle.

Find Base

Area

Off course right angle

Answer:

I think it's d or a

Step-by-step explanation:

ggood luck

Answer:

The correct answer is 0.087

Step-by-step explanation:

Got it right on Edge assignment

Answer:

C=2(3.14)×(5)

C=31.4cm

The circumference of circle is 31.4 cm

"It is the distance around the perimeter of a circle."

"C = 2 × π × r,

where r is the radius of the circle."

For given question,

We have been given the radius of a circle.

r = 5 cm

We need to find the circumference of circle.

Using the formula for circumference of circle,

⇒ C = 2 × π × r

We need to use π = 3.14

⇒ C = 2 × 3.14 × 5

⇒ C = 2 × 5 × 3.14                        ...............(since  a × (b × c) = (a × b) × c)

⇒ C = 10 × 3.14

⇒ C = 31.4 cm

This means, the circumference of circle having radius r = 5 cm

is C = 31.4 cm

Therefore, the circumference of circle is 31.4 cm

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Answer:

8

Step-by-step explanation:

A^2 + B^2 = C^2

36+?=100

100-36= 64

Square root of 64 is 8

Answer:

28.5 units²

Step-by-step explanation:

Shape 1 - ( length * width ) 3*5 = 15

Shape 2 - ( length * width ) 3*3 = 9

Shape 3 - ( height * base / 2 ) 3*1.5 = 4.5

Answer:

36 miles

Step-by-step explanation:

18 + 18 = 36

I didn't get a lot of information so my apologies if wrong.

Answer:

Joan<18

Step-by-step explanation:

These symbols indicate the following:

< less than

> greater than

= equal to

If Joan ran less than 18 miles, you must write the inequality just as you would say it. Therefore, Joan < 18 is the correct inequality.

Answer: 24 in2

Step-by-step explanation:

The square pyramid has a surface area of 24 square miles.

The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.

The surface area of a square pyramid is given by the formula:

[tex]S = L^2 + 2L\sqrt{((L/2)^2 + H^2)[/tex]

where L is the length of the base, H is the height of the pyramid, and S is the surface area.

Given L = 2 mi and slant height = 5 mi, we need to find H.

Using the Pythagorean theorem, we can find H as follows:

[tex]H^2 = (slant\ height)^2 - (1/2 L)^2\\\\H^2 = 25 - 1\\\\\H^2 = 24\\\\H = \sqrt{24[/tex]

Now, we can plug in the values of L and H into the formula for surface area:

[tex]S = L^2 + 2L\sqrt{((L/2)^2 + H^2)} \\\\S = 2^2 + 2(2)\sqrt{((2/2)^2 + (\sqrt{24})^2)}\\\\S = 4 + 4\sqrt{(1 + 24)}\\\\S = 4 + 4\sqrt{25}\\\\S = 4 + 4(5)\\\\S = 24[/tex]

Therefore, the surface area of the square pyramid is 24 square miles.

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Answer:

43.96

Step-by-step explanation:

You take the radius of 7 and multiply by 2 then multiply by 3.14

Answer:

42: 1,2,3,6,7,14,21,and 42

GCF of 42 & 15: 3

GCF of 42 & 50: 2

Step-by-step explanation:

have a day

Answer:

3 and 2

Step-by-step explanation:

The factors of 42 are 1,2,3,6,7,14,21,42;

The factors of 15 are 1,3,5,15.

The factors of 42 are 1,2,3,6,7,14,21,42;

The factors of 50 are 1,2,5,10,25,50

Answer:

y = 31

Step-by-step explanation:

Exterior angle thm:

y + y = y + 31

2y = y + 31

2y - y = 31

y = 31

Answer:

is not , something other than red, 45%, 55%

Step-by-step explanation:

Answer:

Step-by-step explanation:

what

Answer:

The area of the circle is equal to [tex]9\pi[/tex].

Step-by-step explanation:

Given that,

The area of sector is, [tex]\dfrac{17}{2}\pi[/tex]

The central angle is [tex]\dfrac{17}{9}\pi[/tex]

We need to find the area of circle.

We know that,

[tex]\text{Area of sector}=\dfrac{\text{central angle}}{2\pi}\times \text{Area of circle}\\\\\text{Area of circle}=\dfrac{2\pi \times \text{Area of sector}}{\text{central angle}}\\\\=\dfrac{2\pi \times \dfrac{17\pi}{2}}{\dfrac{17\pi }{9}}\\\\=9\pi[/tex]

So, the area of the circle is equal to [tex]9\pi[/tex].

Answer:

w is 146

x is 90

y is 34

z is 56

Answer:

w = 146 degrees

x = 90 degrees

y = 34 degrees

z = 56 degrees

Step-by-step explanation:

Right angles will always add up to 90 degrees.

Straight lines will always add up to 180 degrees.

Since x is a right angle, x = 90 degrees.

Since z + 34 = 90 degrees (a right angle):

90 - 34 = z

90 - 34 = 56 degrees

Since x + y + z = 180 degrees (a straight line), simply plug in the numbers we have found already:

90 + y + 56 = 180

y = 180 - 90 - 56

y = 34

Since w + 34 = 180 degrees (a straight line):

180 - 34 = w

180 - 34 = 146 degrees

Answer:

x=32

Step-by-step explanation:

you have to solve by taking the interior angle of polygon

Answer:

i think it’s C

Step-by-step explanation:

i just did 3 times 3/2 then 4 times 3/2 i could be wrong cs i’m in 7th but that’s my best guess

Answer:

The answer is "[tex]\$132.77[/tex]".

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\to 1 + (1.25)^{29} = 647.23\\\\\to 200 + (20 \times 29) = 780\\\\\to 780 - 646.23 = 132.77\\\\[/tex]