ABC and AED are straight lines. BE and CD are parallel. AC = 12.3cm AB = 8.2cm BE = 3.8cm a) Work out length CD. AD = 9.15cm

Answers

Answer 1

Answer:

15.33cm

Step-by-step explanation:

when you try to draw out this figure, satisfying the fact that Ad and Ac are both straight lines. you find the ultimately  it forms a right-angled triangle with sides AC and AD and hypotenuse CD.

Now, you may use Pythagoras theorem to solve:

AC^2 + AD^2 = CD^2

12.3^2 + 9.15^2 = CD^2

CD^2 = 235.0125

CD = square root of 235.0125 = 15.33cm

Hope this helps


Related Questions

Connie started with___
in her saving account


Fill in the blank

Answers

Answer:

Connie started with $25 in her savings account.

Step-by-step explanation:

The y-intercept is the value of the function at time zero.

At x = 0, which is week zero, when Connie opened the account, the y value is 25. That means she opened the account with $25.

Answer: $25

Answer:

25

Step-by-step explanation:

The population of a country has been increasing for several decades. In​ 1990, the population was about 233 million people. In​ 2014, the population was about 291 million people. Determine the percent increase in the​ country's population during this time period.

Answers

Answer:

the answer for this question is increase 24.89%

Step-by-step explanation:

100%= 233 million

? = 291 million

100%/(233×10^6) : x/(291×10^6)

x=[100%×(291×10^6)]/(233×10^6)

x=124.8927039

x=124.89

124.89%-100%=24.89%

Use the figure below to complete the following problem Given : R,S,T are midpoints of AC, AB, and CB.

Answers

Answer:

RT || AB

Step-by-step explanation:

The answer to your question is that segment RT is parallel to AB.

And for those of you who encounter AB || ?

The answer is RT.

Both questions are rewrites.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

R, S, and T are midpoints of AC, AB, and CB.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

A line is parallel to the right side if it divides any two triangles sides in a similar ratio.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

GUYS PLEASE HELP!!!!! WILL GIVE BRAINLIEST FOR BEST ANSWER!!!!

(a) Consider the following statement:
The dress is yellow.
Check all the statements below that are negations of this statement.
It is not the case that the dress is yellow
The dress is not blue
The dress is multicolored
(b) Consider the following conditional statement:

If Mary is wearing tennis shoes, then Mary has been exercising.

What is the conclusion of this statement?
Mary is not wearing gym shorts
Mary has never exercised
It is not true that Mary is wearing gym shorts
Mary is wearing tennis shoes
Mary has been exercising

Answers

Answer:

a) It is not the case that the dress is yellow

a) The dress is multicolored

b) Mary has been exercising

step-by-step explanation:

The saying negates that the dress is yellow and saying the dress is multicolored implies that the dress is not just one color or just yellow.

For part b, the condition is, is Mary wearing tennis shoes. The conclusion then is that Mary has been exercising because she is wearing tennis shoes.

Find the volume of the pyramid.

Answers

Answer:

140

Step-by-step explanation:

B=35

1/3 (35)(12)

= 140

Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.

Answers

Answer:

hi this is my old account

Step-by-step explanation:

Which of the following is false?
A a child's age and the height of a child is a positive correlation
B none, since all of the other answer choices are true
C the number of hours a person studies and the numerical score on the
exam is a positive correlation
09
D the speed of a vehicle and the time it takes the vehicle to travel 60
miles is a positive correlation
09
09

Answers

Answer:

A

Step-by-step explanation:

A because the height and age are sometimes not proportional or ideal. Some kids don't develop due to health problems for example, which make them look smaller than normal. Other people might a conditions, which makes them grow to tall.

can someone please help me with this?

Answers

Answer:

13) 13.7     14) 78.3 cm

Step-by-step explanation:

13)   6²+x²=15²

       x = 13.7

14)   2πr/2 = 2(3.14)(5.5)/2 = 17.3

      25 + 11 + 25 + 17.3 = 78.3 cm

Carol rolled a dice 150 times she rolled a six 29 times use carol's data to estimate the probability of rolling a six with this dice give your answer as a fraction

Answers

Answer:

29/150

Step-by-step explanation:

Probability is the number of times a certain value is obtained out of the total number of attempts.

If Carol got 6 29 times out of 150, then the probability of getting a 6 = 29/150.

This can be written as a percent or decimal too = 0.193 = 19.3%

Hope this helps.

Good Luck

Can ya help me on this ??! I need this for today i’ll fr cashapp you money the instant that you do this like im mad desperate !!!

Answers

Answer:

En la imagen te la dejo jajaa

Sweets are sold loose, or pre-packed in 120g bags. The 120g bags are £1 49 each The loose sweets are £0.89 for 100g By calculating the price per gram, determine which is better value. Show your working

Answers

To find the better deal divide the price by the weight of each and compare:

1.49 / 120 = 0.012 per gram

0.89/ 100 = 0.0089 per gram

Buying loose is the better deal because the price per gram is smaller

Jade has $451.89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358.92 left in her account.

Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options.
451.89 minus c = 358.92
451.89 minus 3 c = 358.92
358.92 + 3 c = 451.89
358.92 + c + c + c = 451.89
c = 3 (451.89 minus 358.92)

Answers

for ed, it should be:

B

C

D

if not, then idk what happened

The equations that represents the amount of one check are:

451.89 minus 3 c = 358.92

358.92 + 3 c = 451.89

358.92 + c + c + c = 451.89

What equation represent the amount of one check?

The equation that represents the amount of one check is:

Total amount in the account - total value of 3 checks = amount left

Total amount in the account - amount left = total value of 3 checks

Value of one check = (total amount in the account - amount left) / 3

$451.89 - 3c = $358.93

$451.89 - $358.93 = 3c

($451.89 - $358.93) / 3

To learn more about mathematical equations, please check: https://brainly.com/question/26427570

Help!!! Which of the following best describes abc?

Answers

Answer:

Inscribed Angle (A)

Step-by-step explanation:

in geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

how are trapizods and recangles the same

Answers

Answer:

Yes, but no

Step-by-step explanation:

So the trapezoid is a quadrilateral because it has four sides. ... A rectangle can also be termed as trapezoid as its one pair of opposite is parallel and equal. On the other hand a trapezoid may not have all its internal four angles as right angles but a rectangle must have all its angles as right angles.

Hope this helps you

Triangle ABC has vertices at A(-4, -2), B(1, 7) and C(8, -2)

A) Determine the exact value of the area of Triangle ABC.

B) Determine the perimeter of Triangle ABC to the nearest tenth.

Answers

Answer:

a). Area = 54 square units

b). Perimeter = 33.7 units

Step-by-step explanation:

Vertices of the triangle ABC are A(-4, -2), B(1, 7) and C(8, -2).

(a). Area of the triangle ABC = [tex]\frac{1}{2}[x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})][/tex] (Absolute value)

By substituting the values from the given vertices,

Area = [tex]\frac{1}{2}[(-4)(7+2)+(1)(-2+2)+8(-2-7)][/tex]

        = [tex]\frac{1}{2}[-36+0-72][/tex]

        = [tex]\frac{1}{2}(-108)[/tex]

        = (-54) unit²

Therefore, absolute value of the area = 54 square units

(b). Distance between two vertices (a, b) and (c, d)

        d = [tex]\sqrt{(a-c)^{2}+(b-d)^2}[/tex]

     AB = [tex]\sqrt{(-4-1)^{2}+(-2-7)^{2}}[/tex]

           = [tex]\sqrt{106}[/tex]

           = 10.295 units

     BC = [tex]\sqrt{(1-8)^2+(7+2)^2}[/tex]

           = [tex]\sqrt{130}[/tex]

           = 11.402 units

     AC = [tex]\sqrt{(-4-8)^2+(-2+2)^2}[/tex]

           = 12 units

     Perimeter of the triangle = AB + BC + AC = 10.295 + 11.402 + 12

                                                                          = 33.697

                                                                          ≈ 33.7 units

7. A shopkeeper can buy 36 toys for $20.52. What will he pay for 120 toys

Step by step explansion ​

Answers

__________________________________

Hey!!!

Solution,

Cost of 36 toys=$ 20.52

Cost of 1 toy=20.52/36

=$0.57

Now,

Cost of 120 toys= 0.57*120

=$68.4

hope it helps

Good luck on your assignment

______________________________

Answer:

$68.4

Step-by-step explanation:

Let x represent the required cost.

Since the cost is directly proportional to the number of toys:

x : 20.52 = 120 : 36

i.e.     x/20.52 = 120/36

         x = [tex]\frac{120 * 20.52}{36}[/tex]

         x = 10 * 6.84

         x = 68.4

∴ The cost is $68.4.

Hope this helps!!

How can properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines?

Answers

Answer:

Linear pairs are adjacent angles that are supplementary. Their measures add to 180 deg. Vertical angles are congruent. Let's say two lines intersect, and you know the measure of one of the 4 angles that were formed.

Step-by-step explanation:

Find the value of x for which the graph of y = 3x^2 - 8x + 7 achieves its minimum y-value.​

Answers

Answer:

The y value achieves its minimum at x = 4/3

Step-by-step explanation:

Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.

At the turning point, dy/dx = 0

Given y = 3x² - 8x + 7

[tex]\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0[/tex]

[tex]6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}[/tex]

The y value achieves its minimum at x = 4/3

Need your help Plz help me

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. -0.6

Step-by-step explanation:

-2.1-x=-1.5

-x=0.6

x=-0.6

Which statement is true about quadrilateral QRST? Side QR has a length of 5 units. Side RS has a length of units. Side ST has a length of 6 units. Side TQ has a length of units.

Answers

Answer: side TQ 17 units

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Using the measurements given below, find the hypotenuse of the triangle.
Leg = 20 units
Leg = 21 units
400 units
841 units
29 units pleaseee hurry up its in a test im taking rn

Answers

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.

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points) A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 B: No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 C: Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 D: Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Answers

Answer:

A: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

c = child bike

a = adult bike

Child bike requirement:

4 hours build time

4 hours test time

Adult bike requirement:

6 hours build time

4 hours test time

Available Building time per week ≤ 120 hours

Available Testing time per week ≤ 100 hours

Therefore, company's work schedule is;

Building:

4c + 6a ≤ 120

Testing:

4c + 4a ≤ 100

Combined:

4c + 6a ≤ 120 and 4c + 4a ≤ 100

Building 20 Child bike and 6 adult bike in a week:

4(20) + 6(6) ≤ 120 and 4(20) + 4(6) ≤ 100

80 + 36 ≤ 120 - - - - 80 + 24 > 100

Therefore Building 20 Child bike and 6 adult bike in a week is not feasible.

Answer:

Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

I took the test on FLVS

11) Type the missing number in this sequence:
49,
43,
37.
31,
19,
13

Answers

Sequence is take away 6 each time so the next three terms are....

7

1

-5

Answer:

7

Step-by-step explanation:

act

What is the base of a triangle that has an area of 60 square centimeters and a height of 8 centimeters?
A 7.5 cm
B 30 cm
C 52 cm
D 15 cm

Answers

Answer:

I think its (A)

Step-by-step explanation:

To find the area you have to multiply (b*w)*h

and if the area is 60 you just have to divide by the height to get the base area.

60/8=7.5

Hope this helps :3

Bus leaves 9:30a.m.The journey takes 26h 20 min. What time will they arrive

Answers

Answer:

They will arrive at 11:50 am the next day

Step-by-step explanation: 24 hours is a day so add 2 hours and 20 minutes

Answer:

11:50 a.m.

Step-by-step explanation:

A=1/2(b1+b2)h What are equivalent equations

Answers

Answer:

       b1 + b2

A = ------------- * h

             2

Step-by-step explanation:

What you have here is fine as is, except that the "1/2" should be enclosed in parentheses:

A = (1/2)(b1 + b2)h.

Alternatively, write:

       b1 + b2

A = ------------- * h

             2

two consecutive negative integers have a product of 110 . what are the integers?

Answers

-10,-11. They are consecutive and have a product of 110

Find n so that (4/5)^3 × (4/5)^-6 = (4/5)^2n-1

Answers

Answer:

n= 4725 /1024

Step-by-step explanation:

PLZ HELP 100 POINTS AND DONT BE MEAN

Answers

Answer:

Full drum 80 dollars

one lid missing

earn 10 dollars less

Step-by-step explanation:

We need to find the surface area

SA = 2 pi r^2  + 2 pi rh

The diameter is 2 so the radius = 2/2 =1

SA = 2 * pi * 1^2  + 2 * pi * 1 * 3

      = 2 pi + 6pi

      = 8pi

Using pi = 3.14

SA = 8 *3.14 = 25.12 ft^2

We get 3.18 per ft^2

25.12 * 3.18 =79.88

To the nearest dollar

80 dollars

If one of the lids is missing

SA =  pi r^2  + 2 pi rh

        pi + 6pi

        7 pi

Using pi = 3.14

SA = 7 *3.14 = 21.98 ft^2

We get 3.18 per ft^2

21.98 * 3.18 =69.90

To the nearest dollar

70

The difference is 10 dollars

Answer:

[tex]\Huge \boxed{\mathrm{a) \ \$ \ 80}} \\\\\\\\ \Huge \boxed{\mathrm{b) \ \$ \ 10}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Surface area of the cylinder :

2πr² + 2πrh

The diameter is 2 ft, so the radius is 1 ft.

⇒ 2π(1)² + 2π(1)(3)

⇒ 8π ≈ 25.13

$3.18 is getting payed per square foot.

⇒ 25.13 × 3.18

⇒ 79.9221171073 ≈ 80

If the lid was missing:

πr² + 2πrh

π(1)² + 2π(1)(3)

7π ≈ 21.99

$3.18 is getting payed per square foot.

⇒ 21.99 × 3.18

⇒ 69.9318524689 ≈ 70

The difference :

80 - 70 = 10

$10 less if the lid is missing.

[tex]\rule[225]{225}{2}[/tex]

2(2.5x+8)=26 help me please!!!

Answers

Answer:

x=12/5

Step-by-step explanation:

2(2.5x+8)=26

5x+14=26

5x=12

x=12/5

Answer:

The value of [tex]x[/tex]:

[tex]x = 2[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]2(2.5x + 8) = 26[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]2(2.5x + 8) = 26[/tex]

[tex]2.5x + 8 = \frac{26}{2}[/tex]

-Divide [tex]26[/tex] by [tex]2[/tex]:

[tex]2.5x + 8 = \frac{26}{2}[/tex]

[tex]2.5x + 8 = 13[/tex]

-Subtract both sides by [tex]8[/tex]:

[tex]2.5x + 8 - 8 = 13 - 8[/tex]

[tex]2.5x = 5[/tex]

-Divide both sides by [tex]2.5[/tex]:

[tex]\frac{2.5x}{2.5} = \frac{5}{2.5}[/tex]

Expand to the form [tex]\frac{5}{2.5} = 2[/tex] by multiplying both the numerator and the denominator by [tex]10[/tex]:

[tex]\frac{5}{2.5} = 2[/tex]

[tex]x = \frac{50}{25}[/tex]

Then, you divide [tex]50[/tex] by [tex]25[/tex]:

[tex]x = \frac{50}{25}[/tex]

[tex]x = 2[/tex]

So, the final answer would be [tex]x = 2[/tex] .

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