The door to your bathroom has never closed well. In fact, every time you try to use the bathroom, the cats bust open the door because it simply won’t latch. You look at the door and it appears that the door frame is slightly tilted. The person who built your house claims that can’t be true because he measured your door frame and found it be an exact right angle. He claims what you’re seeing is an optical illusion. If you knew the door frame measurements were as pictured to the right, did the builder install your door frame correctly at a right angle?

Answer:

15 cm²

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}[/tex] * base * height

Base = 10 cm

Height= 3 cm

Area = [tex]\frac{1}{2}[/tex] * 10cm * 3cm

        = 5cm * 3cm

        = 15cm²

Answer:

∠J and ∠K form a linear pair.

Step-by-step explanation:

If angles J and K are supplementary and adjacent, then they form what is known as a linear pair.

"Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°)" -mathopenref

Answer:

21/100

Step-by-step explanation:

there are 100 total people and 21 who have a dog but do not take walks. You can leave it like that because it cannot be simplified more.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

A = [2 - 3(2 - 3) - 1] - 1

The operations inside parenthesis are performed first. We have:

A = [2 - 3*(-1) - 1] - 1

The multiplication is performed next. We have:

A = [2 - (-3) - 1] - 1

Now, the operation could be performed freely in any order. (because only subtraction is remaining). We have:

A = 2 - (-3) - 1 - 1

   = 2 + 3 - 1 - 1

   = 5 - 2

   = 3

Hope this helps!

The smaller triangle is DEF which has sides

The larger triangle ABC has side lengths of

Note how the sequence 2,4,6 is exactly double that of 1,2,3. Therefore, the sides of triangle ABC are twice as large as the corresponding sides of triangle DEF.

Put another way, computing the ratios of the corresponding sides all lead to the same value, so we have BC/EF = 6/3 = 2, and we have  AB/DE = 4/2 = 2, and finally AC/DF = 2/1 = 2. These three equations all confirm ABC is twice as large as DEF.

By the SSS (side side side) similarity theorem, we can conclude the triangles are similar. They have the same shape, but different size.

Answer:

-9

Step-by-step explanation:

8x + 1 = -71

8x = -72

x = -9

Answer:

x = -9.

Step-by-step explanation:

8x + 1 = -71    Subtract 1 from both sides:

8x + 1 - 1 = -71 - 1

8x = -72

x = -72/8

x = -9.

Answer:

3n+m+2p

Step-by-step explanation:

group all like terms and solve.

so,

4n-n = 3n

-m + 2m = m

3p - p = 2p

Then, group them together: 3n+m+2p

Answer:

42

Step-by-step explanation:

49-7=42

Answer:

10/4 = [tex]\frac{10}{4}[/tex]

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

x-value of the vertex is -2.

The vertex formula helps to find the vertex coordinates of a parabola. The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex] The vertex form of the parabola  [tex]y=a(x - h)^{2} + k.[/tex]

Given

[tex]f(x)=(x+2)^{2}- 1[/tex]............................(1)

The vertex formula helps to find the vertex coordinates of a parabola.

The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex]

The vertex form of the parabola  [tex]y=a(x - h)^{2} + k.[/tex]

By comparing vertex form of parabola in equation 1

a = 1, h = -2 , k = -1

Hence, x-value of the vertex is -2

Learn more about vertex form of parabola here

https://brainly.com/question/20333425

#SPJ2

Answer:

x=8

Step-by-step explanation:

Area of a rectangle=length×width

Area=104

Width=x

Length=5+x

104=x*(5+x)

104=5x+x^2

104-5x-x^2=0

x^2+5x-104=0

Can also be written as

-x^2-5x+104=0

Solve the quadratic equation using formula

−x2−5x+104=0

using the Quadratic Formula where

a = -1, b = -5, and c = 104

x=−b±√b2−4ac/2a

x=−(−5)±√(−5)2−4(−1)(104)/2(−1)

x=5±√25−(−416)/−2

x=5±√441/−2

The discriminant b^2−4ac>0

so, there are two real roots.

Simplify the Radical:

x=5±21/−2

x=-26/2 or 16/2

x=-13 or 8

The value of x can't be negative

So, x=8 is the answer

Answer:

59.09%

Step-by-step explanation:

You find it through the following formula:

Part divided by whole times 100.

Substitute it and you get the answer:

130 / 220 times 100 = 59.09

Answer:

3x+2y=-1

Step-by-step explanation:

moving the numbers around, the outcome will have to be different

// have a great day //

Answer:

c) 3x - 2y = -1

Step-by-step explanation:

Given equation,

→ 3x + 1 = 2y

Conversion into standard form,

→ 3x + 1 = 2y

→ 3x + 1 - 2y = 0

→ 3x - 2y = -1

Hence, option (c) is correct.

Answer:

D is answer. So if we do -2 * 3 we get -6, -6-4 = -10. Well that doesn't work for a because its 10 not -10. But we have spotted something already. We do have -2 and -10. Those two work we just tested it, but A doesn't work. The only pair that has the -2 and -10 is d. Sorry for bad english, its not native language

Answer:

d

Step-by-step explanation:

Answer: y=6|x|

Step-by-step explanation:

I attached the graph too!

Answer:

12

Step-by-step explanation:

60% of $12

(60 × 20) ÷ 100 = 12

Answer:

4x + 15

Step-by-step explanation:

A = 14x + 5[6 - (2x + 3)]

  = 14x + 5[6 - 2x - 3]

  = 14x + 30 - 10x - 15

  = (14x - 10x ) + (30 - 15)

  = 4x + 15

Hope this helps!

Answer:

[tex]7x+21[/tex]

Step-by-step explanation:

Let the number be [tex]x[/tex].

[tex]x+3[/tex]

[tex]7(x+3)[/tex]

Expand the brackets.

[tex]7x+21[/tex]

Answer: C

Step-by-step explanation:

Make them both equal to 0

Answer:

answer is c

Step-by-step explanation:

Answer: 110 yards

Step-by-step explanation:

From the question, the distance from the shovel to the treasure chest is

60 yards while the distance from the treasure chest to the boat is 50 yards. We are to calculate the distance from the boat from the shovel.

The distance from the boat from the shovel will be the addition of the distance from the shovel to the treasure chest which is 60 yards with the distance from the treasure chest to the boat is 50 yards.

= 60 yards + 50 yards

= 110 yards

Answer:

16x9= 144 cm2

Step-by-step explanation:

Answer:

In the triangle shown, AB = 11, BC = 61. Find AC. Right Triangle ABC v2. 3,600; 3,842; 60; 62. 4. Using the following measurements, find the length of the leg of the right triangle. leg = 5

Step-by-step explanation:

Not sure if that's helpful, but hope it is.

Answer:

16? maybe

Step-by-step explanation:

i justed counted from 9 to 25,l

Answer:

8 or 17

Step-by-step explanation:

The system of equations for this is:

x = 9 + y

x + y = 25

Find the value of y by plugging the first equation into the second.

9 + y + y = 25

9 + 2y = 25

2y = 16

y = 8

One of the numbers is 8.

OR

Find the value of x by plugging the value of y into one o the equations.

x = 9 + 8

x = 17

or

x + 8 = 25

x = 17  

One of the numbers is 17.

Well, we would find the volume of both the cylinder and the cone.

The formula to find the volume of a cylinder is V =  \pi  r^{2} h.

The formula to find the volume of a cone is V =  \frac{1}{3}  \pi  r^{2} h.

Now, when using pi (the symbol  \pi ), if the problem asks to use the approximate value of pi as 3.14, we'll use 3.14 to represent pi. If the problem asks for the exact answer, then we'll just put the pi sign next to our final answer we've gotten.

We can do both ways to solve with pi. Tho let's solve using the approximate value of pi.

One more thing. When there's an exponent in the problem, (such as  r^{2}  in the problem), that just means you would multiply the base, (which is r in  r^{2} ), by itself the number of times the exponent, (which is the number 2 in  r^{2} ), shows. For example, if it was  3^{2} , that would just mean we would multiply 3 times itself twice. So  3^{2}  would be the same as 3 times 3, which is 9. When you deal with variables in a problem, (the letters used to represent a value in the equation, such as a, b, c, d, etc.), they're solved in multiple ways. If a number is next to a variable, (for example, 3b), it would mean you are supposed to multiply the number times the variable. If a number is next to parenthesis, that would mean you would multiply the number times the answer from the parenthesis. In formulas, when all the letters and numbers are squished together in one line, that means you would multiply all of them times each other after they're individually solved. In this problem, r = radius and h = height.

So without further-a-do, let's begin! :)

So the question says that the radius of the cylinder is 10 centimeters, and the height is 20 centimeters. According to the formula given above, we would multiply the radius times itself twice, which would be 10 times 10, which equals 100, then multiply it by the height which is 20, so 100 times 20 = 2,000. If we were to find the exact volume, it would be 2,000 with the pi sign next to it, which would be 2,000 \pi . Though, let's find the volume with the approximate value of pi, 3.14. So 2,000 times 3.14 is 6280. The exact volume of the cylinder is 2,000 \pi and the approximate volume is 6280.

Now after we find the volume of the cone, we would need to find out how many times we'd need to use the cone to fill up the cylinder's volume.

To find the volume of the cone, we would do the same as last time. Since the cone's radius is 5 centimeters, and its height is 10 centimeters, we would first multiply the radius times itself twice, which would be 5 times 5, which is 25, then multiply that by the height, which would be 25 times 10, which is 250. The fraction part of the formula means this- the numerator "1" means you would multiply what you have so far times 1, and the denominator "3" means you will divide what you have so far NOW by 3. So 250 times 1 = 250, and 250 divided by 3 = 83.3333333333, though we'd say that answer up to the hundredths place, which would be 83.33. If you need the exact answer, we'd put the pi sign next to it as 83.33 \pi , and you're done.Tho we didn't find the approximate volume of the cone.So we'd trace back to what answer we had before moving on to the step with the fraction  \frac{1}{3} . Since we were on 250, we'd multiply that by 3.14, which is 785, and continue with what we did with the fraction. 785 times 1 = 785, and 785 divided by 3 = 261.666666667, and saying the answer up to the hundredths place, the approximate volume of the cone would be 261.66

Now since we know the volume of the cylinder, exact = 2,000 \pi  and approximate volume = 6280, this means this is how much of the cylinder should be filled when we use the cone to pour in the water.

We could easily determine this by division.

Finding with the exact volume, you would do 2,000 (from cylinder's volume) divided by 83.33 (from cone's volume), which is 24.0009600384, and since it's not a whole answer, you would move it up a whole number. Why you may ask? Well you can't pour 0.0009600384 of a cone's volume into the cylinder now can you? :P  So it would take 25 times of pouring the cone filled with water into the cylinder in order for the cylinder to be full using the exact volumes of both objects.

Now finding with the approximate volumes of both objects, we'd do the same we did last time. The cylinder's volume divided by the cone's volume, which is 6280 divided by 261.66, would be 24.0006114805, and saying the answer up to the hundredths place, 24.00, but for the same reason as the last one when we were using the exact volumes, we'd round 24 up a whole number, so it would approximately take 25 times to fill the cylinder with the cone.

Either way, using exact or approximate volumes, your final answer would be 25 times. =DI hope I helped! ^-^

By calculating the volume of cone and cylinder, we find that one need to 24 times use the completely filled cone to completely fill the cylinder with water.

The volume of cylinder is equal to the product of the area of the circular base and the height of the cylinder.

The volume of cone will be equal to one-third of the product of the area of the base and its height.

For a cylinder, the formula is πr²h. For a cone it is 1⁄3πr²h.

Volume of cylinder = π[tex]r^{2}[/tex]h =  π * 10* 10 * 20 = 2000π

Volume of cone =  [tex]\frac{1}{3}[/tex]*π[tex]r^{2}[/tex]h = 1/3 *  π * 5 * 5 * 10 = 250 π/3

Number of times one needs to use the completely filled cone to completely fill the cylinder with water =

= Volume of cylinder/Volume of cone

= 2000π / (250π/3) = 24

Learn more about volume of cone and cylinder here

https://brainly.com/question/16007458

#SPJ2

Answer:

27

Step-by-step explanation:

given value of Z=9

so, 3×9=27

Answer:

∠AEX = 70°

Step-by-step explanation:

From the diagram

AX ≅ BX

BY ≅ CY

AZ ≅ CZ

∠XAE = 20°

A circumcenter has equal distant from vertices of the triangle since radii of circles are congruent.

For the given figure, the midpoints is at Z, X, Y

And the perpendiculars also occur at Z, X, Y

∠Z = 90°

∠X = 90°

∠Y = 90°

∠XAE ∠AXE +∠AEX= 180° (sum of angles in a triangle)

∠AXE = ∠X = 90°

20° + 90° +∠AEX= 180°

110° +∠AEX= 180°

∠AEX = 180°-110°

∠AEX = 70°

Answer:

The plans will cost the same for $260 minutes of calling.  These minutes will cost $52.20

Step-by-step explanation:

Plan A:  $8 + ($0.17/min)t

Plan B:  $21 + ($0.12/min)t

Equate these, obtaining $8 + ($0.17/min)t = $21 + ($0.12/min)t, or:

($0.17/min)t - ($0.12/min)t = $13, or

($0.05/min)t = $13 , so t = 260 minutes.  The plans will cost the same for $260 minutes of calling.

Find the cost in this situation:  It is $21 + ($0.12/min)(260 min), or $52.20

Answer:

91

Step-by-step explanation:

(2 + 5)(8 +5)

2 + 5 = 7

8 + 5 = 13

7 * 13 = 91

Answer:

The researcher is using the Experiment method

Step-by-step explanation:

Plato

Answer:

Experiment

Step-by-step explanation:

PLATO/Edmentum

I GOT IT RIGHT!!!