Explain how to find the value of y that would make segment OP parallel to segment LN.

Explain How To Find The Value Of Y That Would Make Segment OP Parallel To Segment LN.

Answers

Answer 1

Answer:

[tex]y = 36[/tex]

Step-by-step explanation:

Given; the triangle above

Required

Find y

This question falls under the topic/subtopic similar triangles where we need to make comparison between similar sides'

But first, it should be noted that triangle MOP is similar to triangle MLN

This implies that

Side MP is similar to MN

Side MO is similar to  ML

Mathematically; This can be represented as follows;

[tex]\frac{MP}{MN} = \frac{MO}{ML}[/tex]

Where MP =y; MN = y + 18; MO = 28; ML = 28 + 14

Substitute these values in the above expression

[tex]\frac{y}{y+18} = \frac{28}{28+14}[/tex]

[tex]\frac{y}{y+18} = \frac{28}{42}[/tex]

Multiply both sides by 42

[tex]42 * \frac{y}{y+18} = \frac{28}{42} * 42[/tex]

[tex]\frac{42y}{y+18} = \frac{28*42}{42}[/tex]

[tex]\frac{42y}{y+18} = 28[/tex]

Multiply both sides by y + 18

[tex](y+18)*\frac{42y}{y+18} = 28 * (y+18)[/tex]

[tex]42y = 28 * (y+18)[/tex]

Open Bracket

[tex]42y = 28 * y+28 * 18[/tex]

[tex]42y = 28y+504[/tex]

Subtract 28y from both sides

[tex]42y - 28y = 28y - 28y +504[/tex]

[tex]14y = 504[/tex]

Divide both sides by 14

[tex]\frac{14y}{14} = \frac{504}{14}[/tex]

[tex]y = \frac{504}{14}[/tex]

[tex]y = 36[/tex]

Answer 2

Answer:

y= 36

Step-by-step explanation:

also ily, no homo


Related Questions

Simplify the expression by combining like terms.
22+5−4+7−8

Answers

Answer: 22

Step-by-step explanation:

22+5= 27

27-4=23

23+7=30

30-8=22

Answer:

22+m+ 7n - 8

Step-by-step explanation:

22+5m-4m+7n-8

22+m+ 7n - 8

you subract 4m from 5m because there are like terms

none of the others are like terms so you cant add or subract them

Ryan rides his bicycle 5 miles in 34 hour. How many miles can he ride at the same rate in 1 hour? I need the answer as a fraction.

Answers

Answer:

He can ride his bike 5/34 of a mile per hour.

Step-by-step explanation:

If Ryan can ride the bike 5 miles per 34 hours, then all you have to do is divide the hours and the miles by 34. This way, you would be left with only one hour and 5/34 of a mile.

10+12+14+...+(2n)=90 n=?

Answers

Answer:

n=10

Step-by-step explanation:

The given equation is  

[tex]10+12+14+...+2n=90[/tex]        ...(1)

Let nth term is 2n.

We need to find the values of n.

It is clear that [tex]S_n=10+12+14+...+2n[/tex] is sum of A.P., whose first term is 10 and common difference is 2.

Sum of A.P. is  

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

where, a is first term and d is common difference.

Substitute a=10 and d=2 in the above formula.

[tex]S_n=\dfrac{n}{2}[2(10)+(n-1)2][/tex]

[tex]10+12+14+...+2n=n[10+n-1][/tex]

[tex]10+12+14+...+2n=n[9+n][/tex]     ...(2)

From (1) and (2), we get

[tex]n(9+n)=90[/tex]

[tex]n^2+9n-90=0[/tex]

Splitting middle term, we get

[tex]n^2+15n-6n-90=0[/tex]

[tex]n(n+15)-6(n+15)=0[/tex]

[tex](n+15)(n-6)=0[/tex]

[tex]n=-15,6[/tex]

Since, n represents the number of terms so n cannot be a negative number, therefore number of term is 6.

Note: nth term and variable n both are different.

[tex]a_n=a+(n-1)d[/tex]

[tex]a_6=10+(6-1)2=10+10=20[/tex]

Sixth term is 20. So,

[tex]2n=20[/tex]

[tex]n=10[/tex]

Therefore, the value of n is 10.

7^2=49 in log form pls

Answers

Answer:

log7(in the baes)49=2

Step-by-step explanation:

plz, help. plzzzzzzzzzzzzz

Answers

Answer:

[tex]Area = 26.75 \:units^2[/tex]

Step-by-step explanation:

[tex]Area =\:\frac{\left(3.5\right)\left(2+2+5\right)}{2}+\frac{\left(2\right)\left(2\right)}{2}+\left(2\cdot 2\right)+\frac{\left(2\right)\left(5\right)}{2}\\\\=26.75[/tex]

w
b
Х
What is the value of c?
4
4 units
a
с
0 5 units
Y
6 units
3
Z
O 7 units

Answers

The value of c is 5 units long
c=5

The length c is the hypotenuse of the triangle WYZ, and the value of c is 5 units

How to determine the value of c?

Considering the triangle WYZ, we make use of the following Pythagoras theorem

c² = 4² + 3²

Evaluate the exponents

c² = 16 + 9

Evaluate the sum

c² = 25

Take the positive square root of both sides

c = 5

This means that the value of c is 5 units

Read more about right triangles at:

https://brainly.com/question/2217700

#SPJ5

A swimming pool has length of 100 meters a width of 25 meters and depth of 4 meters throughout the whole pool . How much water can fill the pool?

Answers

Answer:

100 x 25 x 4 = 10000[tex]m^{3}[/tex]

Step-by-step explanation:

the radius of the compass in 14 millimeter. what is the approximate area of the compass? (use 3.14​

Answers

Answer:

the approximate area of the compass is 615.75mm2

Joshua makes earrings to sell at craft fairs. Each pair of earrings contains the same number of wooden beads as glass beads. For each pair, Joshua spends a total of $0.29 on the wooden beads and $0.11 on the glass beads. How many pairs of earrings, x, can Joshua make if he has $20 to spend on beads?

Answers

Answer: 50 pairs.

Step-by-step explanation:

For each pair of earrings, Joshua spends $0.29 + $0.11 in materials.

So he spends $0.40 for each pair of earrings.

If he has $20, we want to know how many times he can spend $0.40.

For this, we take the quotient:

$20/$0.40 = 50

This means that we can sperate $20 into 50 times $0.40.

So he can buy enough material to make 50 pairs of earrings.

Share £15 in 2:3
Please help me put

Answers

2 ratio 3,so, 2+3=5
15/5=3 add and then division

Can someone plz help me solved this problem! I really need help ASAP! Will mark you as brainiest!

Answers

Answer:

a) k = 3 b) k = 4

Step-by-step explanation:

a) 3 x 7 = 21

b) 4 x 3 = 12

Answer:

1) k=3 (2) k=4

Step-by-step explanation:

[tex]21=k\cdot \:7\quad \\\mathrm{Switch\:sides}\\k\cdot \:7=21\\\frac{k\cdot \:7}{7}=\frac{21}{7}\\k=3\\2)\\12=k\cdot \:3\\Switch\:sides\\k\cdot \:3=12\\\frac{k\cdot \:3}{3}=\frac{12}{3}\\k=4[/tex]

Please help. There is a screen shot try to use that.

Answers

Answer:

C and D

Step-by-step explanation:

What additional piece of information must be known in order to calculate the volume of the cylinder below?

A cylinder with radius of 7 inches.
the diameter of a base
the height of the cylinder
the area of a base
the radius of a base

Answers

U also need to know the height of the cylinder

The formula for the volume of a cylinder is V= pi * r^2 * h

Answer:

height of the cylinder

Step-by-step explanation:

A circle centered at the origin contains the point (0, –9). Does (8, StartRoot 17 EndRoot) also lie on the circle? Explain.No, the distance from the center to the point (8, StartRoot 17 EndRoot) is not the same as the radius. No, the radius of 10 units is different from the distance from the center to the point (8, StartRoot 17 EndRoot). Yes, the distance from the origin to the point (8, StartRoot 17 EndRoot) is 9 units. Yes, the distance from the point (0, –9) to the point (8, StartRoot 17 EndRoot) is 9 units.

Answers

Answer:

Step-by-step explanation:

No it does not cause the 8 To the 17 overpasses the coordinates 0,-9 so the perimeter of the imaginary circle it expands loosely over the designated area

Answer:

Answer C

Step-by-step explanation:

EDGE2021

Simplify the following as much as possible:
6a – 3a + 9a

Answers

6a - 3a + 9a= 12a yes u must makesure that u must have to do the working ive alrdy wrote it up there so u cn just follow okay thanks

Answer: 12a

Step-by-step explanation:

All we need to do is combine the like terms. Which all of them have the common variable a so we can add and subtract them together.

6a - 3a + 9a

Working left to right according to pemdas we can subtract first.

3a + 9a

Now add.

12a

That is as far as we can simplify.

What is the area of the yard?

Answers

Answer:

256

Step-by-step explanation:

Assuming that the length of his garage is the longer dimension (16), the area of the square yard must be 16*16=256 square units. Hope this helps!

What is the length of AC?
Please help!!!!

Answers

Answer:

Step-by-step explanation:

answer b

Answer:

Option B

Step-by-step explanation:

Let us consider that these right triangles form a sort of proportion among one another. If that is so, we can list out which sides of one triangle correspond to which side of the other triangle;

[tex]BA and DE,\\AC and EC,\\BC and DC[/tex]

With this being said, it is given that BA = 84, and DE = 7. To prove that the could be proportional, let us form a like fraction;

[tex]DE / BA =\\84 / 7 = \\12\\\\Conclusion, BA = 12 * DE\\Conclusion, Sides Of Triangle DEC = 12 * Sides Of Triangle BAC[/tex]

With that, the length of AC in respect to EC can be represented as such;

[tex]AC = 12 * EC,\\156 - x = 12 * x,\\156 - x = 12x,\\156 = 13x,\\\\x = 12[/tex]

[tex]AC = 156 - x = 156 - 12 = 144[/tex]

Solution - Option B

PLEASE HELP WILL MARK BRAINLIEST

Draw the reflection of the figure over the line shown.


Answers

Answer:

Step-by-step explanation:

plz help!!! marking brainiest!!

Answers

Answer: 3(x-12)(x+2)

YEAR 9 MATHS- SEQUENCES
Here are the first five terms of a linear sequence.
9 15 21 27 33 ...
Work out the nth term

Answers

Answer:

see below

Step-by-step explanation:

This is an arithmetic sequence. The explicit formula for an arithmetic sequence is aₙ = a₁ + (n - 1)d where a₁ is the first term and d is the common difference. In this case a₁ = 9 and d = 6 so we have:

aₙ = 9 + (n - 1) * 6

aₙ = 9 + 6n - 6

aₙ 6n + 3

help will mark brainliest

Answers

Answer:

no mistakes

Step-by-step explanation:

There are no mistakes in the derivation of the quadratic formula by completing the square

Step 1

Move c to the right hand side

Step 2 Get x^2 to have a coefficient of 1

Step 3 complete the square by adding ( b/2a) ^2 to each side

Step 4 Write in the completed square form  ( x+ b/2x) ^2 = -c/a + ( b/2a) ^2

Step 5 take the square root of each side, remembering the plus and minus

Step 6 subtract  (b/2a) from each side

Ran's doctor is monitoring his heart rate. The equation h=65t represents the relationship between the number of beats of his heart (h) and the number of minutes that have passed (t). If 120 seconds have passed, how many times has his heart beat?

Answers

Answer:

130 times

Step-by-step explanation:

If you convert the time to minutes, 120 seconds is 2 minutes. Since Ran's heart beats 65 times a minute, you multiply 65 by 2 and get 130

Which graph represents an odd function? There are 6 points ona coordinate plane. The points ]are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1). There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4). There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0) There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).

Answers

Answer:

Option C.

Step-by-step explanation:

Let as consider f(x) is a function.

If [tex]f(-x)=f(x)[/tex], then f(x) is even function.

If [tex]f(-x)=-f(x)[/tex], then f(x) is odd function.

It means, if (x,y) is a point of the function, then (-x,-y)is also a point of the function.

In option A, (-5,3) is a point of the function, but (5,-3) is not a point of the function.

So, function in option A is not an odd function.

In option B, (-4,2) is a point of the function, but (4,-2) is not a point of the function.

So, function in option B is not an odd function.

In option C,

If (-4,0) is a point of function, then (4,0) is also the point of the function.

Similarly, (-3,1) and (3,-1), (-2,-3) and (2,3), (-1,-2) and (1,2) are points of the function.

So, function in option C is an odd function.

In option D, (-4,3) is a point of the function, but (4,-3) is not a point of the function.

So, function in option D is not an odd function.

Answer:

C

Step-by-step explanation:

on EDGE 2023

A manufacturer spends $12000 in parts to build a car, they then go and sell that car for $25000. What percentage of profit did they make?

Answers

Answer:

108.3%

Step-by-step explanation:

The manufacturer spends $12,000 in buying the car parts and sells the car for $25,000

Selling price= $25,000

Cost price=$12,000

Gain= selling price-cost price

= 25000-12000

= $13000

The percentage profit can be calculated by applying the formular below

Profit= Gain/cost price×100/1

=13000/12000×100/1

=1.083×100

= 108.3%

Hence the percentage profit is 108.3%

Answer:

52%

Step-by-step explanation:

Step one

In this problem we we have to calculate the profit made after spending a certain amount on the car

Step two

Given that he spent $12000 for parts

And he sold the car for $25000

The profit made is

=Cost of car - cost of repair

= 25,000-12,000

=$13,000

The profit made is $13,000

Step three

Using the cost of the car and the profit realized we can calculate the percentage of the profit made

= (13,000/25,000)*100

= 0.52*100

=52%

Can I have the answer to this?

Answers

Answer:

∛2 can be written as [tex]2^\frac{1}{3}[/tex]. The way i like to remember how to write fractional exponents is that the index of the radical (3 in this case) is the denominator of the fractional exponent and the power of the number inside the radical (1 in this case) is the numerator.

Answer:

2 1/3 is the answer

Step-by-step explanation:

Good Luck On Your Assignment- JoshuaAmachee365BanB Rip. My 3 accounts ;(

If the domain of f(x)=2x+1 is {-2

Answers

Step-by-step explanation:

-4 (A)

because the minimum value of f(x) is f(-2)= -3

the range is between {-3,7}

Answer:

A. -4

Step-by-step explanation:

A rectangle with a length of x + 5 has a perimeter of 4x + 14.

1. Write the expression for the width of the rectangle in terms of x.

Help plsss

Answers

Answer:

hope this helps you

15x - 5y = 30 in slope intercept form

Answers

Answer:

y = 3x - 6

Step-by-step explanation:

Slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

15x - 5y = 30

Subtract 15x from each side

15x-15x - 5y =-15x+ 30

-5y = -15x+30

Divide each side by -5

-5y/-5 = -15x/-5 +30/-5

y = 3x - 6

Answer:

[tex]y = 3x - 6[/tex]

Step-by-step explanation:

[tex]15x - 5y = 30 \\ - 5y = 30 - 15x \\ \frac{ - 5y}{ - 5} = \frac{30 - 15x}{ - 5} \\ y = - 6 + 3x \\ y = 3x - 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

a) (7x10^5)x(3x10^2) in standard form b) (2x10^5)/(4x10^2) in standard form

Answers

The given expressions written in standard form are;

A) 21 × 10⁷

B) 5 × 10²

This is about expression of given algebra in standard form making use of laws of indices.

A) We are given;

(7 × 10⁵) × (3 × 10²)

Now according to the law of indices, when we want to multiply 2 numbers with same bases and different exponents, we retain the bases and add the exponents.

Also, when we want to multiply 2 numbers with different bases and same exponent, we multiply the bases and retain the exponent.

Applying that to our question gives;

(7 × 3)¹ × (10)⁽⁵ ⁺ ²⁾

⇒ 21 × 10⁷

B) We are given;

(2 × 10⁵)/(4 × 10²)

According to the law of indices, when we want to divide 2 numbers with same bases and different exponents, we retain the bases and subtract the exponents.

Also, when we want to divide 2 numbers with different bases and same exponent, we divide the bases and retain the exponent.

Thus;

(2/4)¹ × (10)⁽⁵ ⁻ ²⁾ = 0.5 × 10³

0.5 can also be expressed as; 5 × 10⁻¹

Thus, 5 × 10⁻¹ × 10³ = 5 × 10²

Read more at; brainly.in/question/18681990

The formula for the area of a triangle is , where b is the length of the base and h is the height.

Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.

3 units
5 units
8 units
9 units

Answers

Answer:

5 units

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

30 = 1/2 (12)h

Multiply

30 = 6h

Divide each side by 6

30/6 = 6h/6

5 = h

Answer:

5 units

Step-by-step explanation:

Next time please supply the formula, which was apparently given in this question:

A = (1/2)(base)(height)

Here, A = 30 units^2 = (1/2)(12 units)(height), or

                30 units^2 = (6 units)(height)

Solving for (height), we get

                 30 units^2

(height) = ------------------ = 5 units

                   6 units

The height is 5 units

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