Please Help I Don't Undertand.

Please Help I Don't Undertand.

Answers

Answer 1

If triangles AMN and ABC are similar, then

AM/AB = AN/AC

or

AM/(AM + MB) = AN/(AN + NC)

Check if this is true:

AM/AB = 21/(21 + 9) = 21/30 = 7/10

AN/AC = 14/(14 + 6) = 14/20 = 7/10

The angle at vertex A is common to both of the triangles.

Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.


Related Questions

The sum of 3 numbers is 33. The second number is 2 more than the first number. The third number is 2 more than the second number. What is the smallest number?​

Answers

Answer:

9

Step-by-step explanation:

The information given can be written as:

x + y + z = 33y = x + 2z = y + 2 = (x + 2) + 2 = x + 4

So, x + x + 2 + x + 4 = 33. This simplified is 3x + 6 = 33

Subtract 6 from both sides: 3x = 27

Divide both sides by 3: x = 9

This means that the numbers are 9, 11, and 13, so 9 is the smallest number.

To check, we can add together 9, 11 and 13, which is 33.

Hope this helps!

Which equation represents h in the triangle? A) h = 6sin37° B) h = 10sin37° C) h = 6 10 sin37° D) h = 10 6 sin37°

Answers

Answer:

A

Step-by-step explanation:

Consider the left triangle within the big triangle.

Identity :

sin θ = opposite side / hypotenuse

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

Taking the sine value of the angle to find h :

⇒ sin37° = h/6

h = 6sin37°

Opposite 37 is h

Angle opposite 6 is 90

Sine rule:

h/sin37 = 6/sin90

xsin37

h = 6 x sin37/ sin90

h = 3.6108....

h = 3.6 to 1dp

A) 6xsin37= 3.6108...

B) 10xsin37 =6.018...

C) 6x 10 xsin37 = 36.108...

D) 10 x 6 x sin37 = 36.108...

Thus, answer is A

Hope this helps!

a swimming pool is 10 feet and 14 feet long. A
concrete border was poured that was 3 feet wide
around the pool. Find the perimeter of the
concrete walk.

Answers

Answer:

  72 ft

Step-by-step explanation:

The perimeter of the concrete walk is the sum of the lengths of its outside edges. Each of those is two border-widths longer than the parallel pool dimension.

__

The border width is ...

  (10 ft) + 2(3 ft) = 16 ft

The border length is ...

  (14 ft) + 2(3 ft) = 20 ft

The perimeter is the sum of the lengths of the four sides. It can be found using the formula ...

  P = 2(L +W)

  P = 2(20 ft + 16 ft) = 2(36 ft) = 72 ft

The perimeter of the concrete walk is 72 feet.

_____

Additional comment

The term "perimeter of the concrete walk" is actually somewhat ambiguous. It could refer to the total length of all of the edges of the concrete walk. If that is the case, then the 48 foot length of the inside edge must be added to the length of the outside edge for a total of 120 feet. That is, if one were to mark the edges of the walk with tape, for example, 120 feet of tape would be needed.

Find the volume of a sphere with a radius of 2 cm.
to the nearest hundredth.

A 10.67 cm³
B 16.75 cm³
C 33.52 cm³
D 8.37 cm³
ATTEMPTS

Answers

Answer:

C 33.52 cm³

Step-by-step explanation:

Here, we have Radius(r)=2(Given)

Volume = 4/3 πr³

= 4/3 · 22/7 · 2³

= 33.5238

Round to the nearest tenth:
C 33.52 cm³

Martin and Linda live 855 miles apart. At the same time, they start driving toward each other on the same road. Linda’s constant rate is 35 mph. Martin’s is 60 mph. How long will it take them to meet?

Answers

Answer:

Step-by-step explanation:

Givens

Linda 35 mphMartin 60 mphdistance travelled = 855 miles

Formula

Linda's speed * t + martin's speed * t = 855

s1 * t + s2 *t = 855

Solution

35*t + 60*t = 855t                Combine the left

95t = 855                              Divide both sides by 95

95t/95 = 855/95

t = 9

Answer

They will meet in 9 hours.

Answer:

Option (D) is correct, 9 hours.

What is the area of the sector shown in the diagram below?
14 cm
OA. 34.2 cm²
OB. 30.8 cm²
OC. 136.8 cm²
D. 4.9 cm²

Answers

The area of the sector shown in the diagram below is A = 136.8 cm²

Area of a sector

The formula for calculating the area of a sector is expressed as:

A = r²Ф/2

Given the following

radius = 14cm

Ф = π/6

Substitute

A = (14)²π/12

A = 196(3.14)/2

A = 136.8 cm²

Hence the area of the sector shown in the diagram below is A = 136.8 cm²

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Leticia simplified an expression. Her work is shown below.

4.5 divided by one-fourth + 2 and one-half minus 0.75 times 8
Step 1 18 + 2 and one-half minus 0.75 times 8
Step 2 18 + 1.75 times 8
Step 3 18 + 14
Step 4 32

Where did Leticia make her first mistake?
step 1
step 2
step 3
step 4

Answers

Leticia made a mistake in her step 2. She did subtraction before multiplication.

How to simplify an expression?

The expression can be simplified as follows;

4.5 ÷ 0.25 + 2.5 - 0.75 × 8

Hence, using Pemdas rule,

4.5 ÷ 0.25 + 2.5 - 0.75 × 8

18 + 2.5 - 0.75 × 8

18 + 2.5 - 6 = 14.5

Therefore, she made mistake in her step 2 because she was suppose to solve the multiplication before subtraction.

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If you roll a dice four times, what is the chance that you roll two 3s?

Answers

Answer:

  11.57%

Step-by-step explanation:

The probability of rolling two 3s is the product of the probability of rolling two 3s and two not-3s, and the number of ways that combination of rolls can appear.

__

combinations of rolls

Of the four die rolls, we want two of them to be 3s. The 3s can appear anywhere in the sequence. For example, we could have 33xx, or xx33, or any of a number of other combinations (where x is a "not 3"). The total number of ways two 3s can appear an a sequence of 4 rolls is ...

  C(4, 2) = 4!/(2!(4 -2)!) = 4·3/(2·1) = 6

__

probability of two 3s and two not-3s

The probability of rolling a 3 on a fair 6-sided die with one face labeled 3 is presumed to be 1/6. Then the probability of rolling something else is ...

  1 -1/6 = 5/6

So, two 3s and two not-3s in a given sequence have a probability of ...

  (1/6)(1/6)(5/6)(5/6) = 25/1296

__

two 3s in 4 rolls

The probability that four rolls of the die will show exactly two 3s is the product of the probability it can happen and the number of ways it can happen:

  (25/1296) × 6 = 25/216 ≈ 11.57%

_____

The attachment shows the probability function of a calculator gives the same result.

Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injected into a patient can be given by the function C of t is equal to the quantity negative 18 times t squared plus 54 times t end quantity over the quantity t squared plus 7 times t plus 10 end quantity comma where the time, t is hours after injection.

Part A: What is the domain of the function C(t) based on the context of the problem? Show all necessary calculations. (5 points)

Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body. (5 points)

Answers

The domain of the function is 0 ≤ t ≤ 3 and the greatest concentration of the medication is 2mg/L

The domain of the function

The equation of the function is given as:

[tex]C(t) = \frac{-18t^2 + 54t}{t^2 + 7t + 10}[/tex]

Time can be 0 or greater but cannot be negative.

So, the domain of the function includes t ≥ 0

Set the function to 0 to determine the maximum value of t.

[tex]\frac{-18t^2 + 54t}{t^2 + 7t + 10} = 0[/tex]

Cross multiply

[tex]-18t^2 + 54t = 0[/tex]

Factor out -18t

-18t(t - 3) = 0

Divide both sides by -18t

t - 3 = 0

Add 3 to both sides

t = 3

This means that the maximum value of t is 3

Hence, the domain of the function is 0 ≤ t ≤ 3

The greatest concentration of the medication

From the graph of the function (see attachment), we have the maximum value to be;

C(t) = 2

Hence, the greatest concentration of the medication is 2mg/L

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Ahmed and Babar share 240g of sweets in the ration 7:3. Calculate the amount Ahmed receives

Answers

The amount received by Ahmed is 168 gm.

What is Ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.

Here, let the amount received by Ahmed be 7x

          and amount received by Babar be 3x

       Total amount of sweets = 240 gm

Now, according to question,

           7x + 3x = 240

              10x = 240

               x = 240/10

              x = 24

Thus, the amount received by Ahmed is 7 X 24 = 168 gm and amount received by Babar = 3 X 24 = 72 gm.

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Find the difference or type
"impossible"

Answers

Answer:

hope you can understand

1. Kimi Skuban deposits $2,000 at the beginning of each year into an Individual Retirement Account at
Boise Bank. The account pays 7% compounded annually. How much will be in the account in 25 years?

Answers

Answer:

53500

Step-by-step explanation:

if we take 2,000 and multiply it by 0.07 the resulting percentage equates to 140, or $140, add 140 to 2,000 and multiply by 25 will yield 53500

can someone do this for me please?! Just the answer pls

Answers

1. Both triangles are congruent by: a. angle-angle-side congruence theorem.

Using the trigonometric ratios, we have:

2. C. 9

3. C. 4√3

4. B. sin C

What is the Angle-angle-side Congruence Theorem?

The angle-angle-side congruence theorem states that two triangles are congruent to each other if they both have two pairs of corresponding congruent angles and a pair of non-included congruent side.

What is the Trigonometric Ratio?

To solve any right triangle, the following Trigonometric ratios can be employed:

sin ∅ = opp/hyp

cos ∅ = adj/hyp

tan ∅ = opp/adj.

1. Both triangles can be proven to be congruent based on: a. angle-angle-side congruence theorem.

2. Given the points, A(-2, 6) and B(-2, -3), the distance between both points is:

AB = |6 - (-3)| = 9 units

The answer is: C. 9

3. Apply the sine ratio:

sin 60 = opp/hyp = m/8

m = (sin 60)(8)

m = (√3/2)(8) [sin 60 = √3/2]

m = 4√3

The answer is: C. 4√3

4. Using the sine ratio:

sin C = opp/hyp = 8/17

The answer is: B. sin C

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Find f(2) if f(x)= (x +1)^2

Answers

Answer:

9

Step-by-step explanation:

substitute the x which is x= 2, so

f(2)= (2+1)^2

=(3)^2

=9

Answer:

9

Step-by-step explanation:

*URGENT 20 POINTS*
If the area of a regular 12-gon is 2,004 meters^2, what is the length of one of the sides? Please show how you figured this out as well.

Answers

Answer:

13.3787 m

Step-by-step explanation:

A = 3 × ( 2 + √3 ) × s2
If a is 2004 just do the reverse order and u get the answer

20 cm
15 cm 8 cm
20 cm
8 cm
15 cm
Find the area of the arrow above.
[?] square centimeters

Answers

The area of the arrow given in the figure is 610 square cm

Area of composite figure

The given figure is made up of rectangle and triangle. The area is expressed as:

Area = Area of rectangle + area of triangle

Substitute the given parameters

Area of the arrow = (15*20) + 0.5(31 * 20)

Area of the arrow = 300 + 310
Area of the arrow = 610 square cm

Hence the area of the arrow given in the figure is 610 square cm

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Find the mean and median of the data. 31, 14, 18, 26, 17, 32

Answers

Answer:

The mean is 23

The median is 22

Step-by-step explanation:

To find the mean you have to do 2 steps:

Step 1: Add up all your numbers:

31 + 14 + 26 + 17 + 32 + 18

= 138

Step 2: Divide you answer by how many numbers there are(6):

138 ÷ 6

= 23

Now to find you median

First put the numbers in order:

14, 17, 18, 26, 31, 32

Now grab the middle number and since there are an even amount of numbers grab the 2 middle numbers:

14, 17, 18, 26, 31, 32

Now add the 2 numbers:

18 + 26

= 44

The last step is to divide your answer by 2:

44 ÷ 2

= 22

In the diagram of right triangle GFE below, altitude FD is drawn. Which of the
following ratios is equivalent to sin E?
answers: GD/DF, GF/GE, DE/FD, FE/GE

Answers

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is B.

What is Sine (Sinθ)?

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

In the ΔGEF, the value of Sin(E) is,

Sin(E) = GF/GE

In the ΔDEF, the value of Sin(E) is,

Sin(E) = FD/FE

Hence, the correct option is B.

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Jill jogs 3/4 of a mile in 1/10 of an hour at this rate how fast does she run one mile.

10 minutes
6 minutes
8 minutes

Answers

Answer:

8 minutes

Step-by-step explanation:

Jill jogs 3/4 of a mile in 1/10 hour.

⇒ 3/4 of a mile takes 6 minutes

For one mile :

3/4 mile x 4/3 : 6 x 4/3 minutes1 mile : 2 x 4 minutes1 mile takes 8 minutes
3/4 mile she ran in 1/10hour

1 mile she can run

1/10÷3/44/3(1/10)4/302/15hour8/60hour

8 mins

This table represents a proportional relationship between x and y.
X
2.5
3.25
2.7
3.51
2.9
3.77
3.1
4.03
What is the constant of proportionality?
Enter your answer as a decimal in the box.

Answers

The constant of proportionality of the proportional relationship between x and y is: 1.3.

How to Find the Constant of Proportionality?

The constant of proportionality, k = y/x, of a proportional relationship.

To find the constant of proportionality of the relationship between x and y, select any given pair from the table, say, (2.5, 3.25).

Constant of proportionality (k) = 3.25/2.5

Constant of proportionality (k) = 1.3

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If 14 is 35% of a value, what is that value?

Pls help

Answers

Answer:

40

Step-by-step explanation:

14 = 35% of x

35% = 0.35

So lets make an equation and solve for x:

14 = 0.35x

x = 14÷0.35

x = 40

To check our answer let's put it back into the question :

35% of 40 = 14

10% = 4 , 30% = 12 , 5% = 2

35% = 12+2 = 14 ✅

Hope this helped and have a good day

One diagonal of a rhombus has endpoints (-6, 9) and (-2, 1).
What are the endpoints of the other diagonal?
O (2, 4) and (6, 6)
O (-6, 5) and (-2, 4)
O (2, 8) and (-10, 2)
O (-10, 17) and (2,7)

Answers

(2, 8) and (-10, 2)

:)

How many one-third cup servings are in 9 cups of strawberries?

Answers

Answer:27?

Step-by-step explanation:

So since there needs to be 3 1/3ds in each cup you just multiply 3x9=27

Please help!!!!!
a bag contains four red marbles, three blue marbles, two yellow marbles, and one green marble. two marbles are drawn from the bag, one at a time, without replacement. what is the probability of drawing two blue marbles?

Answers

Answer:  1/20

 

Step-by-step explanation:

Given: Number of red marbles in bag = 4

Number of blue marbles in bag = 3

Number of yellow marbles in bag = 3

Total marbles = 3+3+4=10

Hope this helps!!!!

Determine each sum or difference.
A) -3.6+(-21.9) b) -43.91-(-9.44)

Answers

The answers for A is 25.5 and the answer for B is -34.47

How do you feel about the plant

Answers

the slope would be -1/4, the y-intercept is dependent on if the perpendicular line has to pass a certain point.

hope this helps!

20 points!!! Which of the following functions represent the graph of? Question and answers linked below, thank you!

Answers

Answer:

the second picture shown

Step-by-step explanation:

it’s has on the x axis (-3,0) and on y axis (0,-2.26)

SIMPLIFY HELP !!!!!!

Answers

Simplify (-2)² + 15 ÷ 3

Answer: 9

Hope this helps :))
P.s. Can you mark me as the brainliest? <3

Help is this a reflection or a rotation??
My exam is on Tuesday and I’m confused

Answers

Answer:

reflection

Step-by-step explanation:

its like a mirror, if it were rotated, they wouldnt line up as the same image. think of this like looking in a mirror! :)


please help I’ll give brainliest

Answers

This is the answer to question 14
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