Opposite sides of a parallelogram are parallel. Prove that opposite angles of a parallelogram are congruent.

Answer:

1/3

Step-by-step explanation:

is this a trick question? all you have to ask yourself is "what does it take to get from 1/3 to 2/3, or whats the difference between 1/3 and 2/3?" haha but here i guess!

Answer:

6a^{3}+12ab^{2}-7b^{3}+25ba^{2}

i think thats the answer

Answer:

6 a³ + 25 a ² b + 12 a b ² - 7 b³

Step-by-step explanation:

First, you have to simplify like (a + b) x (3 a - b) x (2 a + 7 b)

Second, you have to collect like terms like (3 a² + 2ab - b²) x (2 a + 7 b)

You have to simplify again after that like (3 a ² + 2 a b - b ²) x (2a + 7b)

Collect like terms again like 6 a ³ + 21 a² b + 4 a ² b + 14 a b ² - 2 a b² - 7 b³

After all that, the solution is 6 a³ + 25 a ² b + 12 a b² - 7 b³

Hope this helps!

The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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Okay, let's break this down step-by-step:

1) We need to choose a slope within 6 to 8 feet of vertical change for every 100 feet of horizontal change.

Let's choose a slope of 7 feet of vertical change for every 100 feet of horizontal change.

2) So for every 100 feet horizontally, the zip line will drop 7 feet vertically.

3) We know the ending point height, but we need to calculate the starting point height.

4) If the ending point height is 100 feet above the ground, then for every 100 feet of horizontal distance, the line drops 7 feet.

So to drop 100 feet vertically, the line would have to travel 100 / 7 = 14.29 ~ 15 100-foot segments.

5) So if the ending point is 100 feet above the ground,

the starting point will be 100 + (15 * 7) = 100 + 105 = 205 feet above the ground.

6) Therefore, the difference between the starting and ending point heights is 205 - 100 = 105 feet.

So the difference between the starting and ending point heights of the zip line is 105 feet.

Please let me know if any of the steps are unclear or if you have any other questions! I'm happy to explain further.

Answer:

The zip line needs to be 35 feet higher than the ending point.

Step-by-step explanation:

Assuming that we want to build a zip line with a slope of between 6 to 8 feet of vertical change for every 100 feet of horizontal change, we can choose a slope of 7 feet of vertical change for every 100 feet of horizontal change. This slope is within the given constraint of 6 to 8 feet of vertical change for every 100 feet of horizontal change.

To determine how much higher the starting point of the zip line needs to be than the ending point, we need to know the horizontal distance between the two points. Let's assume that the horizontal distance between the two points is 500 feet.

Using the slope of 7 feet of vertical change for every 100 feet of horizontal change, we can calculate the vertical change as follows:

Vertical change = slope * horizontal change

Vertical change = 7/100 * 500

Vertical change = 35 feet

Therefore, the starting point of the zip line needs to be 35 feet higher than the ending point.

Answer:

The correct option is 'No Solution'.

Step-by-step explanation:

Given the system of the equations

\(y=\frac{1}{2}x-1\)

\(2x-4y=12\)

solving the system of the equations

\(\begin{bmatrix}y=\frac{1}{2}x-1\\ 2x-4y=12\end{bmatrix}\)

\(\mathrm{Subsititute\:}y=\frac{1}{2}x-1\)

\(\begin{bmatrix}2x-4\left(\frac{1}{2}x-1\right)=12\end{bmatrix}\)

\(2x-4\left(\frac{1}{2}x-1\right)=12\)

\(2x-2x+4=12\)

\(4=12\)

as

4=12 is false, therefore the system of equations has no solution.

Therefore, the correct option is 'No Solution'.

Answer:

\(\displaystyle m=\frac{-1}{7}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-2, 6)

Point (5, 5)

Step 2: Identify

x₁ = -2, y₁ = 6

x₂ = 5, y₂ = 5

Step 3: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

i think your answers are wrong because its -880.75 and its not there

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

<A =73

Step-by-step explanation:

The sum of the angles of a triangle are 180

<C is 90

<B is 17

We need to find <A

<A + < B + <C = 180

<A + 17+90 = 180

<A + 107 =180

<A = 180-107

<A =73

Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

Answer:

x = 3

Step-by-step explanation:

using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\)

\((2^2)^{x}\) = 64

\(2^{2x}\) = \(2^{6}\)

since the bases on both sides are equal , then equate the exponents

2x = 6 ( divide both sides by 2 )

x = 3

Answer:

It 13

Step-by-step explanation:

Answer:

7×8/10=56/10=5.6 is a anwer

Answer:

39.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine the remaining sides of triangle THE given that sin(E) = 4 and TE = 4, we can use the sine ratio.

The sine ratio is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.

In this case, sin(E) = 4/TE, which means the side opposite angle E is 4 and the hypotenuse TE is 4.

Using the Pythagorean theorem, we can find the length of the remaining side TH:

TH^2 = TE^2 - HE^2

TH^2 = 4^2 - 4^2

TH^2 = 16 - 16

TH^2 = 0

TH = 0

Therefore, the length of side TH is 0.

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Right triangular pyramid

base = 5 meters

altitude = 4 meters

Volume = ?

Step 02:

The volume of a right triangular pyramid

V = 1/3 B * h

B = 1/2 b * h

The answer is:

The volume of the pyramid is 13.33 m³.

Answer: -0.25

Step-by-step explanation:

Answer:

-0.25

Step-by-step explanation:

The growth of y = 3x compare to the growth of y = 3 as the function y = 3^x is growing faster than y = 3x.

The growth rate of any function is calculated by finding its limit at infinity. Here, we need to calculate the limit of the function when x approaches to infinity.

Also, as x approaches infinity the order followed by the functions according to their growth rate is :

Factorial < Exponential < Polynomial < 1

Now, the function y = 3x is polynomial and the other function y = 3^x is exponential.

Therefore, in comparison with the above sequence : The function y = 3^x is growing faster than y = 3x.

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Answer:

15x9 is 130 but, what u mean by divided by 2 fraction?

Step-by-step explanation:

135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2

Answer: 202.77

Step-by-step explanation:

7300/36=202.777

Rounding down: 202.77

Pythagorean teorem:

c^2 = a^2+b^2

Where c is the hypotenuse and a & b are the two other legs of the triangle.

a.

c^2 = 6^2+8^2

Solve for c:

c^2 = 36+64

c^2 = 100

c =√100

c= 10

b.

c^2 = 0.6^2+ 0.8^2

c^2 = 0.36+ 0.64

c^2 = 1

c = √1

c=1

Answer:

SEND MONEY

Step-by-step explanation:

A cypher shift encrypts a message by shifting each letter a certain number of places.

For example, N is the 14th letter of the alphabet.

If we shift 9 places to the left, we get the 5th letter of the alphabet, which is E.

Or, if we shift 9 places to the right, we get the 23rd letter of the alphabet, which is W.

Assuming the shift is to the left:

B = 2

2 − 9 = -7

-7 + 26 = 19

19 = S

N = 14

14 − 9 = 5

5 = E

W = 23

23 − 9 = 14

14 = N

M = 13

13 − 9 = 4

4 = D

V = 22

22 − 9 = 13

13 = M

X = 24

24 − 9 = 15

15 = O

W = N

N = E

H = 8

8 − 9 = -1

-1 + 26 = 25

25 = Y

SEN DMO NEY

SEND MONEY

Answer:

y=1/2x-2

Step-by-step explanation:

perpendicular lines have a neg. reciprocal for the slope.

for example:

in this equation y=-2x+1

-2 is the slope and the negative reciprocal would be 1/2

hence, the slop of our new line is 1/2

y=1/2x+b

we can substitute the coordinates given for x and y:

2=1/2(8)+b

2=4+b

-2=b

hence the new equation is y=1/2x-2

Step-by-step explanation:

Given

radius (r) = 9 cm

Area of the circle (A)

= πr²

= 3.14 * 9²

= 3.14 * 81

= 254.34 cm²

To show that ABC ≅ AXYZ by SAS, we would need to establish that angle BAC ≅ angle XYZ.

To show that triangles ABC and AXYZ are congruent by the Side-Angle-Side (SAS) criterion, we need to establish that two corresponding sides and the included angle are congruent.

Given AB ≅ XY and BC ≅ YZ, we already have two corresponding sides congruent.

To complete the congruence by the SAS criterion, we need to establish that the included angles are congruent. In this case, the included angle is angle BAC (or angle XYZ).

Therefore, to show that ABC ≅ AXYZ by SAS, we would need to establish that angle BAC ≅ angle XYZ.

None of the answer choices directly addresses the congruence of the angles. So, none of the given options (A, B, C, D) are sufficient to show the congruence of the triangles by SAS.

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Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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Answer:

B. 11/7

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-4 - 7) / (-5 - 2)

-11 / -7

= 11/7

The reciprocal of 15 1/4 is 4/61

Step-by-step explanation:

15 1/4 multiply 15 by 4 and then add 1 it will give you 61/4 then you change into reciprocal which will be 4/61

Step-by-step explanation:

hope it helps,plss correct me if im wrong