Determine the length of AC and DE, and the value of x.

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Explanation:

When two lines have different slopes like this, it means the two lines are not parallel. Recall parallel lines are when the slopes are equal (the rise and run are the same, so you can think of it like the same stair-step pattern).

Non-parallel lines intersect at exactly one location. This point of intersection is the solution to the system of equations.

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A more in-depth look (optional section)

Let's consider the system of equations shown below

[tex]\begin{cases}y = mx+b\\y = mx+c\end{cases}[/tex]

For each equation shown here, the m values are the same slope. However, b and c are different values (in other words, [tex]b \ne c[/tex]). This system describes any two parallel lines that aren't vertical.

Since we're dealing with the same y value, we can apply substitution to try to solve for x. But we run into a problem

y = mx+b

mx+c = mx+b ... replace y with mx+c

c = b .... subtract mx from both sides

But we stated that c and b were different, and not equal. This is a contradiction. So if we had a system of this form, then we have 2 parallel lines that lead to no solution. We call this an inconsistent system.

Next, we'll consider this system of equations

[tex]\begin{cases}y = mx+b\\y = nx+c\end{cases}[/tex]

The only thing different here is the second equation has n instead of m as its slope. We'll assume that m and n are not equal to each other. If m = n, then we just end up with the previous scenario. Let's try to solve x now

y = mx+b

nx+c = mx+b

nx-mx = b-c

(n-m)x = b-c

x = (b-c)/(n-m)

Assuming [tex]m \ne n[/tex], we can generate one solution for x as shown above. This single solution for x generates a corresponding single solution for y. So overall, this proves that we have one ordered pair (x,y) solution to this system.

In short, I've shown that if m and n are different slopes, then the system of equations has exactly one solution.

Answer:

y = 25.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos y = adjacent/ hypotenuse

cos y = 18/20

Take the inverse cos of each side

cos ^-1 (cos y) = cos^-1(18/20)

y =25.84193276

Rounding to the nearest tenth

y = 25.8

Step-by-step explanation:

please refer to the attachment

Answer:

(3, -6) and (7, -6)

Step-by-step explanation:

Plugging it in the slope formula we get -6+6 = 0, meaning the division will be 0. This the slope is 0

Answer:

2ft3

Step-by-step explanation:

V=lengthxwidthxheight

1ftx1ftx2ft

V=2

Answer: 112, 68, 22, 90

Step-by-step explanation:

This is fairly somewhat easy

since the adjacent side of 1 is 68 degrees

then 1 would be 112 degrees to make it supplementary to 180 degrees

angle 3 is vertical of angle 68

making it 68 degrees

angle 5 is given to be 90 degrees meaning angle 4 is inbetween

angles 3 and 5 so ( 68 and 90 ) that'll add up to 158 meaning angle 4

is 22

angle 1 = 112

angle 3 = 68

angle 4 = 22

angle 5 = 90

Answer:

option B

Step-by-step explanation:

since DA and CB are equal and originate from same line segmnet, they are parallel, so angle D and angle C are equal, angle A and anfle B are equal and angle E is the same for both,

Answer: 70% as a decimal is 0.7.

Step-by-step explanation: "Per" means 100. To find the decimal, divide 70 by 100.

70 / 100 = 0.7

Hence, that is our answer.

70% as a fraction is 70/100.

Again, Per means 100. To get that answer, look at the decimal. The number 7 is 7 tenths. Since it means tenths, instead of 100, put 10.

Hence, 70/100 and 0.7 is the answer.

Answer:

Term life insurance plans are much more affordable than whole life insurance. This is because the term life policy has no cash value until you or your spouse passes away. In the simplest of terms, it's not worth anything unless one of you were to die during the course of the term. Then that's when you receive money..

Step-by-step explanation:

(G0OGLED THE ANSWER)

Term insurance can be a better product if your time horizon is 10 years or less. Term insurance is better than whole life insurance especially at younger ages. Also term insurance works best because it is a low cost and low commitment program.

Step-by-step explanation:

12/16 divided by 2

hope it helps u

Answer:

translation . translation. rotation

Answer:

y=13

Step-by-step explanation:

Simplifying y + 10 = 2y + -3 Reorder the terms: 10 + y = 2y + -3 Reorder the terms: 10 + y = -3 + 2y Solving 10 + y = -3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 10 + y + -2y = -3 + 2y + -2y Combine like terms: y + -2y = -1y 10 + -1y = -3 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + -1y = -3 + 0 10 + -1y = -3 Add '-10' to each side of the equation. 10 + -10 + -1y = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = -3 + -10 -1y = -3 + -10 Combine like terms: -3 + -10 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13

Answer:

29

Step-by-step explanation:

Delta math

The measure of the angle G will be equal to 27.50°.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that in ΔFGH, f = 880 inches, g = 450 inches, and h=890 inches.

The value of the angle G will be calculated as,

g² = h² + f² -2hfcosG

450² = (890)² + (880)² - 2(890)(880)cosG

202500 = 792100 + 774400 + 1566400cosG

cosG = ( 1364000) / ( 12 x 890 x 880 )

cosG = 0.87

G = cos⁻¹(0.87)

G = 27.50°

Therefore, the measure of the angle G will be equal to 27.50°.

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Answer: Thx for the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

56.29

Step-by-step explanation:

56.29^° is the answer

The bearing of town C from town A at the given position of the three towns is determined as 93.3⁰.

The distance of town C from town A is calculated by applying Cosine rule. The distance of town C from town A is represented by small letter "b" as shown in the image.

b² = a² + c² - 2ac[cos B]

b² = (8)² + (7)² - 2(8 x 7 x cos77)

b² = 87.81

b = √87.81

b = 9.37 km

The value of angle A is determined by applying Sine rule as shown below;

sin A/a = sin B/b

sin A = (a x sin B)/b

sin A = (8 x sin 77)/9.37

sin A = 0.832

A = sin ⁻¹ (0.832)

A = 56.3⁰

The bearing of town C from town A is determined from the sum of 37⁰ and angle A.

θ = A + 37⁰

θ = 56.3⁰ + 37⁰

θ = 93.3⁰

Thus, the bearing of town C from town A at the given position of the three towns is determined as 93.3⁰.

Learn more about bearing here: https://brainly.com/question/23427938

Answer:

[tex] V_{cone} \approx 1,178.97 \: {in}^{3} [/tex]

Step-by-step explanation:

Diameter of cone = 16 in

Radius of cone r = 16/2 = 8 in

Height of cone h = 17.6 in

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ V_{cone} = \frac{1}{3} \times 3.14 \times {(8)}^{2} \times 17.6 \\ \\ V_{cone} = \frac{1}{3} \times 3,536.896 \\ \\ V_{cone} = 1,178.96533 \\ \\ V_{cone} \approx 1,178.97 \: {in}^{3} \\[/tex]

Answer:

The answer is £20

Step-by-step explanation:

Since the game is half-priced, we just have to divide the original price by 2.

£40/2 = £20

Answer:

E, F, B, and C

Step-by-step explanation:

Im just learning about these kind of things and this is a challenging question not going to lie.

I chose B because expanding and building more factories is apart of economics. You need more land to expand your business, but this will also affect the economy.

C seems like a good answer also because writing about economic trends is an important thing in economics. This also helps others learn out the economy and what not to do and what to do to help make our environment a better place.

I chose E because starting a business is apart of economics. A lot of business are apart of economic systems and help money come into our economy.

F is a good answer for me because the U.S government has been apart of America's economic system for a long time just like they are involved with everything else. The government is a big help and a big part of our economy, especially for america.

Step-by-step explanation:

Aswer:

22.5 more calories are burned

Hiking:

y=255

Kayak:

y=202.5

Answer:

Yes, you are correct

Step-by-step explanation:

Answer: Yes it is.

Step-by-step explanation:

Answer:

190 yd^2

Step-by-step explanation:

This is a parallelogram, and you can essentially take the dotted line, cut off the excess and stick it on the back creating a rectangle with length 15.2 yd and height 12.5. To find the area you multiply the 2 together getting 190 yards squared.

Answer:

Download the app photomath and right your solution

First, you need to know what "m" and "b" represents.

"m" represents slope, and "b" represents the y intercept.

For the equation you can combine the information to get y = mx + b

To find "m" indentify points, and see how many you have to go up/down then left/right.

To find "b" since the graphis given see where the line crosses the y axis. (0, b)

1. m = -1, b = 3

y = -1x + 3

2. m = 1, b = -3

y = 1x -3

3. m = 3/1 or 3, b = 1

y = 3x + 1

4. m = -3/1 or -3, b = -3

y = -3x -3

Answer:

-200 isn't higher than 450 but 450 is:

450 is 250 higher than -200

Step-by-step explanation:

Answer:

add 21 to both sides

Step-by-step explanation:

9z-21=60

9z-21+21 =60+21

9z=81

9z/9=81/9

z = 9

Answer:

Quadrant 2

Step-by-step explanation:

-8 - 9 = -17

5 - (-1) = 6

(-17, 6) = second quadrant

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Actually Welcome to the Concept of the Arithmetic Operation.

====> 5(3+6) + 5*3/ 5(4-1)

=====> 5(9) + 15 / 5(3)

=====> 45+15 / 15

=====> 60/15

======> 4

answer is 4