Please Solve this, it would be extremely helpful for me.
[tex]{\tt{\fbox{\red{Trigonometry}}}}[/tex]

In the figure given below,

AB ll EF ll CD. If AB = 22.5 cm,

EP = 7.5 cm, PC =15 cm and

DC = 27 cm. Calculate:

(i) EF (ii) AC

Please Solve This, It Would Be Extremely Helpful For Me. [tex]{\tt{\fbox{\red{Trigonometry}}}}[/tex]In

Answers

Answer 1

Answer:

Step-by-step explanation:

1) ΔCPD & ΔEPF

∠CPD = ∠EPF   { Vertically opposite angles}

∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}

ΔCPD ≈ΔEPF  {AA criteria for similarity }

[tex]\frac{DC}{EF} =\frac{PC}{EP}\\\\\\\frac{27}{EF}=\frac{15}{7.5}\\\\[/tex]

Cross multiply

EF * 15 = 27 * 7.5

[tex]EF =\frac{27*7.5}{15}\\\\[/tex]

EF = 27 * 0.5

EF = 13.5 cm

ii) EF // AB, so Triangles ACB & ECF are similar triangles

[tex]\frac{AB}{EF}=\frac{AC}{EC}\\\\\frac{22.5}{13.5}=\frac{AC}{22.5}[/tex]

[tex]AC= \frac{22.5*22.5}{13.5}\\\\AC=37.5 cm[/tex]

AC = 37.5 cm


Related Questions

true or false the ratio of the circumfernce of a circle to its diameter is called pi​

Answers

That's true. Pi is known to be defined as the ratio of the circumference of a circle to its diameter.

True pi is the circumference of the diameter

True, sometimes true, or false?

The multiple of two consecutive integers is positive​

Answers

Answer: sometimes true

Step-by-step explanation: if the integers are both positive or both negative, the product will always be positive. If the integers are negative and positive, then the answer will be negatove

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: X < 10
Hope this helps!

Answer:

x<10

Step-by-step explanation:

On the number line it shows that the dot is at 10.  Since the dot is not colored in, we know it's not greater/less than or equal to.  Greater/less than or equal to is where it shows the symbol, but it's underlined, like this: ≤.  Only when the dot is colored in, is there a possibility it is greater/less than or equal to.  So it can be greater than or less than something.  Since it starts at 10 and is decreasing, it is going to be less than.

X will be less than something.  And because the dot is at 10, it means 10 was the start.  X is less than 10 since the arrow is pointing to where the numbers are decreasing.  So, x<10.

Happy D's Playland charges a $100 flat
fee for parties plus $1.50 per person.
Marta has $125 to spend. Which
inequality could help Marta find the
number of people she can invite?

Answers

Answer:

$16.66

Step-by-step explanation:

$125-$100 = $25

since its $1.50 per person, we do $25 DIVIDED by $1.50 = $16.66.

i hoped this helped :)

Which number is closest to O on the number line?
-0.26
0.3
0.275
-0.51

Answers

Answer:

-.26

Step-by-step explanation:

If you take the absolute value (indicates how far a number-negative/positive- is from 0) of each number u listed you will find that .26 is the smallest number,thus smallest number.

Answer:

-.26 is closest to 0 on the number line.

Step-by-step explanation:

To find distance we use absolute value to find the smallest absolute value.

The absolute value of each number is as follows

-0.26 (0.26)

0.3 (0.3)

0.275 (0.275)

-0.51 (0.51)

In order from least to greatest we have

.26, .275, .3, .51

Therefore -.26 is closest to 0 on the number line.

Good luck!!

K(x)=5^x+2 find (-2)

Answers

Answer:

1

Step-by-step explanation:

K(x)=5^(x+2)

Let x = -2

K(-2)=5^(-2+2)

       = 5^0

      = 1

Answer:

k(- 2) = 1

Step-by-step explanation:

Substitute x = - 2 into k(x) , that is

k(- 2) = [tex]5^{-2+2}[/tex] = [tex]5^{0}[/tex] = 1 [ [tex]a^{0}[/tex] = 1 ]

Segment EF has one endpoint located at E (-7, 2) and its midpoint is located at M (0.5, 4). What are the coordinates of point F? Show all work.
100 POINTS

Answers

Answer:

F(8, 6)

Step-by-step explanation:

Use midpoint formula to find the missing F(x, y):

M = (E + F)/2(-7 + x)/2 = 0.5 ⇒ -7 + x = 1 ⇒ x = 1 + 7 = 8(2 + y)/2 = 4 ⇒ 2 + y = 8 ⇒ y = 8 - 2 = 6

Using Midpoint formula

[tex]\boxed{\sf M=\dfrac{x_1+x_2}{2},\dfrac{x_2+y_2}{2}}[/tex]

E(-7,2)M(0.5,4)F(x,y)

[tex]\\ \sf\longmapsto (0.5,4)=\left(\dfrac{-7+x}{2},\dfrac{2+y}{2}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{-7+x}{2}=0.5[/tex]

[tex]\\ \sf\longmapsto -7+x=1[/tex]

[tex]\\ \sf\longmapsto x=1+7[/tex]

[tex]\\ \sf\longmapsto x=8[/tex]

And

[tex]\\ \sf\longmapsto \dfrac{2+y}{2}=4[/tex]

[tex]\\ \sf\longmapsto y+2=8[/tex]

[tex]\\ \sf\longmapsto y=8-2[/tex]

[tex]\\ \sf\longmapsto y=6[/tex]

F(x,y)=(8,6)

The circumference of a circle is 6pi inches. What is the area of the circle

Answers

Answer:

B0 A = 9 Pi

Step-by-step explanation:

c = 6 Pi (given)

c = Pi 2r (standard formula)

r = c / (2 Pi)

r = 6 Pi / (2 Pi) = 3 (substitute 6 Pi for c)

So

A = Pi r**2

A = Pi 3**2

A = 9 Pi

In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°

Answers

Answer:

9.013 square units

Step-by-step explanation:

please what are plane shapes

Answers

Answer:

Circle

hope this helps.

Answer:

A closed, two-dimensional or flat figure is called a plane shape.

PLZ HELP !!!! Only do B) and C)

Answers

First frame is for b and second frame is for c

Rational number between 1/3 and 1/9

Answers

Answer:

2/9

Step-by-step explanation:

LCM of 3 and 9 = 9

[tex]\dfrac{1}{3}=\dfrac{1*3}{3*3}=\dfrac{3}{9}\\\\\\Rational \ number \ between \dfrac{1}{9} \ and \dfrac{3}{9} \ is \dfrac{2}{9}[/tex]

how do you find the length of the hypotenuse when you have only the length of the altitude of the hypotensuse and a length of a leg?

Answers

Answer:

By using The Pythagorean Theorem:

[tex]/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \[/tex]

/Hypotenuse/ = [tex]\sqrt\ /Length of altitude/^{2} + /Length of leg/^{2} \}[/tex]

Step-by-step explanation:

The Pythagorean theorem states that: Given a Right-angled triangle, the square of the hypotenuse equals the sum of squares of the other two sides ( Here, being the length of the altitude and length of leg). That is,

[tex]/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \[/tex] and hence,

/Hypotenuse/ = [tex]\sqrt\ /Length of altitude/^{2} + /Length of leg/^{2} \}[/tex]

For example, If the length of the altitude is 4m and the length of leg is 3m. Using The Pythagorean theorem, the length of the hypotenuse will be

[tex]/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \\\/Hypotenuse/ = \sqrt{/Length of altitude/^{2} + /Length of leg/^{2}} \\/Hypotenuse/ = \sqrt{4^{2} + 3^{2} }[/tex]

[tex]/Hypotenuse/ = \sqrt{16+9} \\/Hypotenuse/ = \sqrt{25} \\/Hypotenuse/ = 5m[/tex]

The length of the hypotenuse for the given example will be 5m.

This is how to find the length of an hypotenuse.

8. Solve for x. Round your answer to the nearest tenth.
8.6
4
x
0176

Answers

Answer:

C. 9.5

Step-by-step explanation:

The Pythagorean Theorem: a^2 + b^2 = c^2.

4^2 + 8.6^2 = c^2

16 + 73.96 = c^2

c^2 = 89.96

c = 9.4847....

PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

The correct answer is b.

Step-by-step explanation:

if you arrange the data set in ascending order you will have:

x              y

-2            [tex]\frac{1}{100}[/tex]

-1              [tex]\frac{1}{10}[/tex]

0               1

1                10

3               1000

Exponential growth is an increase in a specific way of a data set over time. here, as x increases by a +1, y increases with ×10

From 38 to 316 inclusive,how many integers can be found that are multiples of 12? 20 Points!

Answers

Answer:

The first multiple of 12 after 38 is 48.

The first multiple of 12 before 316 is 312.

So we have, 48, 60, 72... 312.

Divide by 12...

4, 5, 6, ... 26

Subtract 3 from each term to get... 1, 2, 3... 23

So there are 23 terms!

Hope this helps!

if f(x)=3x+6 what is the inverse of f(x)

Answers

Answer:

The inverse is 1/3x-2

Step-by-step explanation:

y = 3x+6

Exchange x and y

x = 3y+6

Solve for y

Subtract 6 from each side

x-6 = 3y+6-6

x-6 = 3y

Divide by 3

x/3 -6/3

1/3x -2 = y

The inverse is 1/3x-2

Answer:

[tex]f^{-1} (x)=\frac{1}{3}x-2[/tex]

Step-by-step explanation:

Replace f(x) with y

y=3x+6

Swap x and y

x=3y+6

Solve for y

3y=x-6

y=1/3x-2

What is the least common multiple of 46, 49, and 17?

Answers

Answer:

38318

Step-by-step explanation:

Break the numbers into prime factors

46 = 23*2

49 = 7*7

17 = 17*1

The least common multiple is

23*2*7*7*17 = 38318

IM STUMPED I USUALLY LOVE THESE PROBLEMS :( The least common multiple of x, 10 and 14 is 70. What is the greatest possible value of x?

Answers

Answer:

[tex]x=70[/tex]

Step-by-step explanation:

If we know that the LCM of 10, 14 and x will be 70, that means x has to be a factor of 70.

First, let's find the multiples of 10 and 14 until they equal 70.

[tex]10: 10,20,30,40,50,60,70[/tex]

[tex]14:14,28,42,56,70[/tex]

Since we're asking for the greatest value of x, that means that x has to be smaller or equal to than 70 but still large enough to be the greatest.

Hey, isn't 70 a factor of 70? The remainder gets to 1 which is a whole number, so 70 is a multiple of 70.

So, [tex]x = 70[/tex].

Hope this helped!

Answer:

x = 35

Step-by-step explanation:

70 factored is 2 x 5 x 7

x  = 35

A: m_1 = m_4
B: m_2 = m_3
C: m_1 + m_4 = 180°
D: m_2 + m23 = 180°

Answers

Answer:

A

Step-by-step explanation:

answer the question pls

Answers

Answer:

Question number 8 u place the number 1 line before -1 on the left.

Step-by-step explanation:

cuhcuhcuhcuchcuhcuhc

CLASSIFY THE TRIANGLES WHOSE SIDES MEASURE:


A. a = 15cm, b = 20cm and c = 25cm

B. a = 3cm, b = 3cm and c = 1cm

Answers

Problem 1

a^2+b^2 = 25^2+20^2 = 225+400 = 625

c^2 = 25^2 = 625

We get the same output of 625.

This shows that a^2+b^2 = c^2 is true for (a,b,c) = (15,20,25). We have a pythagorean triple and this is a right triangle. This is also scalene as all three sides are different lengths.

Answer: Right scalene triangle

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

Problem 2

a^2+b^2 = 3^2+3^2 = 18

while c^2 = 1^2 = 1

So a^2+b^2 = c^2 is not a true equation for this a,b,c set of values. We do not have a right triangle. Instead we have an acute triangle based on these rules below

If a^2+b^2 = c^2, then we have a right triangleIf a^2+b^2 > c^2, then we have an acute triangleIf a^2+b^2 < c^2, then we have an obtuse triangle

We see that we have the form a^2+b^2 > c^2 since 18 > 1.

This acute triangle is also isosceles because a = b.

Answer: Isosceles acute triangle

Answer:

Triangle A is a scalene triangle.

Triangle B is an isosceles triangle

Exaplanation for the 1st Answer:

A scalene triangle is a triangle whose all side lengths are different.

Triangle A has the side lengths are 15, 20, 25. All these lengths are different, so this is a scalene triangle.

Explanation for the 2nd Answer:

An isosceles triangle has 2 sides lengths the same and the other side length different. Triangle B has side lengths of 3, 3, 1. Two side lengths are same, but 1 side length is different. So, this is an isosceles triangle.

pls help. A granola mix sells for $8.99 a pound. Tung wants to buy a bag of granola mix that weighs 7.8 pounds. The bag of granola mix will cost about $16. $17. $63. $72.

Answers

Answer:

about 72 dollars

Step-by-step explanation

"about" tells us to round our numbers. Therefore, 7.8 becomes 8. As each pound is $8.99, we multiply the two and get 71.92, which is "about" 72.

Answer:

$72

Step-by-step explanation:

To find the cost, multiply the price per pound by the number of pounds.

8.99(7.8)

= 70.12

This is closest to $72

If a state issued license plates using the scheme of two letters followed by four digits, how many plates could it issue?

Answers

Answer:

Combining these results, it follows that there are 676 x 1000 = 676,000 different license plates possible.

Check whether 301 is a term of the list of numbers 5, 11, 17, 23, . . .

Answers

Answer:

not a term

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

d = 11- 5 = 17 - 11 = 23 - 17 = 6

This indicate the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 6, thus

[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1

Equate this to 301 and solve for n

6n - 1 = 301 ( add 1 to both sides )

6n = 302 ( divide both sides by 6 )

n = 50.333....

Since n is not an integer value then 301 is not a term in this sequence.

I need help asap!!!​

Answers

There are 360° total in a circle, so AB is half of the circle so it’s 180°. CBA is 180° also. 180°+55°=235°, 360-235= 125° which is AC

Bart opens a bank account and deposits $10 each week. If he has $90 in his account, how many weeks has he been depositing money?

Answers

The number of weeks Bart has been depositing money is 9 weeks according to investment and time.

The number of weeks of money depositing will be given by the formula -

Number of weeks = total amount deposited each week/total number of weeks × 100

Keep the values in formula to find the number of weeks of money deposit

Number of weeks = 90/10

Perform division that will include cancelling zeroes

Number of weeks = 9

Hence, Bart deposited the money for 9 weeks.

Learn more about calculations on division -

https://brainly.com/question/28119824

#SPJ1

Easy Geometry Question.

Answers

y = 180 - 120 = 60°
x = 180 - 2(60) = 60°
Therefore both x and y are 60° (D).

Answer:

the answer will be 60  

Step-by-step explanation to find x and y's value:

x = 180-2(60)

now, we will do the same method to find y's value

y = 180-120 which will be 60

i hope this helps :)

Use number properties to simplify the following expression.

-5 + (5 + 3)

In the box below, show each step in simplifying the expression and explain which property you used in each step.

Answers

Answer:

-5 + (5 + 3) =(-5 + 5) + 3 = 0 + 3 = 3

[tex]\\ \sf\longmapsto -5+(5+3)[/tex].

Remove brackets

[tex]\\ \sf\longmapsto -5+5+3[/tex]

[tex]\\ \sf\longmapsto (-5+5)+3[/tex]

[tex]\\ \sf\longmapsto 0+3[/tex]

[tex]\\ \sf\longmapsto 3[/tex]

help asap will give 10 points

Answers

Answer:

False

Step-by-step explanation:

[tex]( {9}^{9} ) \times ( {9}^{ - 20} ) \\ = {9}^{9 + ( - 20)} \\ = {9}^{ - 11} [/tex]

Answer:

I'm pretty sure its false

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