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

Determine The Length Of AC And DE, And The Value Of X.

Answers

Answer 1

Answer:

n = 16, AC = 60, DE = 30

Step-by-step explanation:

DE joins the midpoints of 2 sides of the triangle and is half the length of the third side, that is

DE = [tex]\frac{1}{2}[/tex] AC , substitute values

n + 14 = [tex]\frac{1}{2}[/tex] (3n + 12) ← multiply both sides by 2 to clear the fraction

2n + 28 = 3n + 12 ( subtract 2n from both sides )

28 = n + 12 ( subtract 12 from both sides )

16 = n

Then

AC = 3n + 12 = 3(16) + 12 = 48 + 12 = 60

DE = n + 14 = 16 + 14 = 30


Related Questions

what is the first step to solving 9z-21=60​

Answers

add 21 to both sides, so you get 9z = 81

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

Slope Find Value of Zero

Answers

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

When might term insurance be a better option than whole life insurance???
HURRY PLS

Answers

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.



HELP FAST PLS
What is the volume of this container?
4 ft²
2 ft
2 ft²
I ft
4 ft?
I ft
2 ft²

Answers

Answer:

2ft3

Step-by-step explanation:

V=lengthxwidthxheight

1ftx1ftx2ft

V=2

2 ft 3 is the correct answer

--8x + 10y = 16
-4x - 5y = 13

Answers

Step-by-step explanation:

please refer to the attachment

Substitution Method

{ -8x+10y=16
{ 4x-5y=13

{ -8x+10y=16
{ x=13/4+5/4y

-8(13/4+5/4y)+10y=16

No solution

——

Elimination Method

{ -8x+10y=16
{ 4x-5y=13

{ -4x+5y=8
{ 4x-5y=13

0=21

Still, there is no solution.

The normal price of a computer game is £40
The price is reduced by 1/2 in a sale.
Work out the price of the computer game in the sale.

Answers

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

*GUYS PLEASE HELP ME ILL GIVE BRAINLIEST*

what you need to do is write an equation for each graph *ILL REALLY APRECIATE YOUR HELP*​

Answers

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

Write an equation with division, that equals 6/8.
It must be two fractions divided together.

Answers

Step-by-step explanation:

12/16 divided by 2

hope it helps u

Answers for questions

Answers

Answer: Thx for the answer

Step-by-step explanation:

Answer:

1: tan² (t)2: 13: 14: tan (t)5: -16: cos (y)7: cos (t sec (t) - t cos(t))8: 1

Step-by-step explanation:

solve for x and y

x + 10 = 2y - 3​

Answers

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

how much higher is -200 than 450m

Answers

Answer:

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

450 is 250 higher than -200

Step-by-step explanation:

The number y of calories burned after x minutes of kayaking is represented by the linear function y=4.5x . The graph shows the number of calories burned by hiking.


a. Which activity burns more calories per minute?
A) kayaking
B) hiking
Question 2

b. You perform each activity for 45 minutes. How many total calories do you burn?
You burn 472.5 calories.

Question 3
Justify your answer.

Answers

Step-by-step explanation:

Aswer:

22.5 more calories are burned

Hiking:

y=255

Kayak:

y=202.5

Please help out with this geometry homework I was assigned. And what formula do I use?

Answers

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]

Lu can type 140 words in 5 minutes, and Ray can type 140 words in 4 minutes.How many more words can Ray type?

Answers

35

i just called me and told me that jdjd. d bbtit totototoototot

is this correct? 3^10 over 3^7 = 3^3

Answers

Answer:

Yes, you are correct

Step-by-step explanation:

Answer: Yes it is.

Step-by-step explanation:

One equation in a system of linear equations has a slope of -3. The other equation has a slope of 4. How many solutions does the system have? Explain.

Answers

Answer: Exactly 1 solution

=============================================================

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.

----------------------------

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.

find the value of the expression ​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

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

Pleaseee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Angle FGE (right next to vertex G)andAngle GED (right next to vertex E)are congruent!Both of these angles are marked by a small curve. They both have a single line going through them. This means they are congruent.Please let me know if I am wrong.

I BET NO ONE KNOWS THIS Place a checkmark next to each answer choice that describes a situation in which economic indicators might be helpful. ALL THAT APPLY
A. A business is trying to design the packaging for a new product.
B. A company is considering expanding and building more factories.
C. A college student is writing a paper on current economic trends.
D. A contractor is trying to decide which of two designers to hire to decorate his
model homes.
E. A recent college graduate is trying to decide what type of business to start.
F. The U.S. government is trying to determine how involved they should be in the
economy in 2016.

Answers

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.

work out the y-4 when y=10​

Answers

10-4= 6 so the answer is 6
10-4=6 is your answer

omg pls help me i only have a few min left imma cry

Answers

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,

Someone please help me!

Answers

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.

a) 25.8
b) 36.8
c) 64.2
d) 42.0​

Answers

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

I’m very confused and don’t understand anything that’s going on please help

Answers

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

Someone help quickly please!

Look at picture

Name the sequence of transformations that moved figure A to figure D

A. Translation, Translation, Rotation
B. Reflection, Reflection, Rotation
C. Translation, Reflection, Rotation
D. Rotation, Translation, Reflection

Answers

Answer:

translation . translation. rotation

Write 70% as a fraction in decimal. Who ever answers right will get the brainlest answer

Answers

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.

الو۔
The diagram shows the position
of three towns represented by
letters A, B and C.
B is 7 km from A on a bearing of 037°
C is 8 km from B on a bearing of 140°
Find the bearing of C from A.
Give your answer correct to 1 decimal place.

Answers

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.

Distance of C from  A

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

Angle A

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

Bearing of town C from town A

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

Erin buys 4 packs of potatoes costing £2 each, 2 packs of carrots for £3 per pack, and 5 turnips costing 70p each.
If she pays with a £20 note, how much change would she get in pounds, £?​

Answers

She would get £2.50

4 times 2 is 8
2 times 3 is 6
0.7 times 5 is 3.5
Add them together
Minus it from 20
It equals £2.50

What quadrant would ( -8, 5 ) - ( 9, -1 ) be

help

Answers

Answer:

Quadrant 2

Step-by-step explanation:

-8 - 9 = -17

5 - (-1) = 6

(-17, 6) = second quadrant

In ΔFGH, f = 880 inches, g = 450 inches and h=890 inches. Find the measure of ∠G to the nearest degree.

Answers

Answer:

29

Step-by-step explanation:

Delta math

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

What is trigonometry?

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°.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ5

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