What value of y makes the number sentence shown true?

y−3=15

The lines PC and PB are the secant and the tangent lines of the circle, while the proportion involving PA, PB, and PC is PA * PC = PB²

The triangles are given as:

Δ PAB and Δ PBC

Both triangles have a common point at P.

This means that:

∠P ≅ ∠P --- reflexive property of congruent angles

Also, the angles at C and B are congruent:

This is represented as:

∠B ≅ ∠C

Both triangles have a common side length PB.

Hence, the triangles are similar by ASA similarity theorem

The similarity theorem in (a) is the ASA similarity theorem.

This means that:

PA : PB = PB : PC

Express as fraction

[tex]\frac{PA}{PB} = \frac{PB}{PC}[/tex]

Cross multiply the expressions

PA * PC = PB * PB

Evaluate the product

PA * PC = PB²

Hence, the proportion involving PA, PB, and PC is PA * PC = PB²

Read more about secant and tangent lines at:

https://brainly.com/question/14962681

#SPJ1

Answer:

1/10 is smallest. With fractions, as the bottom number(denominator) gets bigger, the fraction is actually getting smaller.

Answer:

wait in comments.................

Answer:

From wheelie bags and hard shell cases, to duffel bags, backpacks, hybrid packs, and day backs, there is a huge amount of choices when it comes to travel luggage Step-by-step explanation:

Answer:

12.25s + 3.99 = 77.49 would be your equation used to find the amount of shirts purchased.

When we solve the equation, we get 6 which is the quantity of shirts Gartland purchased.

Step-by-step explanation:

We know the shirts were 12.25 but we didnt know how much she pruchased leaving our shirts (s) unknown.

We added 3.99  for shipping and our total cost was 77.49

We do 12.25s + 3.99 (shipping) = 77.40 total cost

Answer:

earth moves around the sun...duh we have science to prove it......

Step-by-step explanation:

Answer: the earth moves around the sun

Step-by-step explanation:

The most direct observational evidence for Earth's orbital motion is the apparent shift of nearby stars after six months, as the Earth moves from one side of its orbit to the other. Because of the large distance to even the nearest start, this parallax shift is too small to been seen without a telescope.

Answer:

SA=lw+lh+hw to find the surface area.

190m²

I hope i helped u get the right answer

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D because they are on the same line and that would make them infinite

-5²+10² / (2×(-5)×3)+3³

= -25+100 / (2×(-5)×3)+27

=-25+100 / -30+27

= 75/3

=25

[tex]\dfrac 3{10} \times 8 \\\\\\=\dfrac{3 \times 8}{10}\\\\\\=\dfrac{3 \times 4 \times 2}{ 5\times 2}\\\\\\=\dfrac{12}5[/tex]

Answer:

32/50 = 0.64 * 100 = 64%

Step-by-step explanation:

The row 'girls' represents the population of girls who answered the survey. There were 50 total, and 32 answered for brand A. 32/50 is the fraction representing the number of the total girls which answered brand A.

Answer:

Option A, 64%

Step-by-step explanation:

Step 1:  Determine the percentage of girls that were surveyed that prefer Brand A cell phones

There are a total of 50 girl students and out of those 32 girls prefer Brand A cell phones.  This means that 32/50 = 64% of all the girl students prefer a Brand A phone.

Answer:  Option A, 64%

Step-by-step explanation:

all models are correct other than the first model and the third model.

#1

One line of pink and 0.2 line of pink so 1.2 line of pink and 3 lines of purple

The expression is 1.2+3

#2

Expression is 1.2+0.3

#3

4lInes of green

#4

True(Representation by number line)

#5

5lines of green

Answer:

[tex] \frac{5}{4} kg \: \frac{3}{4} kg[/tex]

Step-by-step explanation:

Simplify 2kg

[tex] \frac{5}{4} kg[/tex]

,

[tex] \frac{3}{4} kg[/tex]

Answer:

60/200

Step-by-step explanation:

credit to pawlossolomon

From the line of the best fit y = 5.2x -0.4 for the considered data, the residual for x = 5 is given by: Option A: -1.6

Suppose the given input output pair be (x,y) (actual data point)

Then suppose the prediction be y' from the line of best fit for that input x.

Then the residual value will be calculated for that point as:

Residual value = Actual value - Predicted value

Residual = y - y'

Here, we're given the data as:

         x                         y

         1                          8

         2                        13

         3                        18

         4                        23

         5                        24

The line of best fit for this data is [tex]y= 5.2x -0.4[/tex]

For x = 5, the real corresponding y value is 24, and the predicted value is:

[tex]5.2(5) -0.4 = 25.6[/tex]

Thus, the residual for x=5 is: y - y' = 24 - 25.6 = -1.6

Thus, from the line of the best fit y = 5.2x -0.4 for the considered data, the residual for x = 5 is given by: Option A: -1.6

Learn more about residual here:

https://brainly.com/question/3870996

Answer:

The answer is A: -1.6

Step-by-step explanation:

Doing the assignment on edge rn and got the question right

Answer:

10

Step-by-step explanation:

To find the area you multiply the length times the width. 5 x 2 = 10.

Answer:

b^7

Step-by-step explanation:

when you multiply numbers that have powers, you add them instead of multiplying.

Answer: Yes

Step-by-step explanation:

If a triangle was inscribed onto the surface of a sphere, the sum of its interior angles will not add up 180 degrees. This is actually a method in differential geometry to see if a surface is flat or curved; see if the angles up to 180 degrees. Now, it depends on how large the triangle is. If we were to draw a triangle on the surface of the earth with lets say a piece of chalk, the angles will appear to add up to 180 degrees. The larger amount of surface that the triangle covers, the larger deviation you will get from 180 degrees.

Answer:

second one

s/(2πh) = r

Step-by-step explanation:

You want to put the unknown value you are solving on 1 side and rest on the other side. In this case, you have to have r alone on one side.

s=2πrh

Since they are all multiplied with r, you divide them all on both sides to send them to other side.

s/(2πh) = 2πrh/ (2πh)

cancel out right side and it leaves r alone.

s/(2πh) = r

Area of the prism

= (4x3)/2 x 5

= 30 cm^3

Answer:

Perpendicular: AE and ED & ED and CD

Equal Lengths: AE and ED & AB and BC

Perpendicular: 4? if you count ED seperate for both of it's perp interactions

Answer:

1848 grams of cheese.

Step-by-step explanation:

1 oz = 28 g.

28 x 22 = 616 g

616 g x 3 = 1848 g

Donna should buy 1848 grams of cheese.

Answer:

A

Step-by-step explanation:

Any time you see the x value being repeated, it is most likely not a function. Since the x value of 3 in the answer B is repeated and have different y values, it is not a fuction.

Answer:

Non of the Above

Step-by-step explanation:

You are an Alpha male its atleast 2500ft

The expression that represents the height of the triangular base of the pyramid is given by: Option B: (5/2)√3 untis

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The question is incomplete, and the upper part of the completed question is:
"The base of a solid oblique pyramid is an equilateral triangle with an edge length of 5 units. A solid oblique pyramid has an equilateral triangle base with an edge length of 5 units. "

The diagram of the base of the considered pyramid is attached below.

The perpendicular from A to BC is touching BC at C, and is bisecting it (it can be proved).

Consider the triangle ADB. It is a right angled triangle.

We need the length of AD which represents the height of the triangle ABC.

This is obtained using Pythagoras theorem as:

[tex]|AB|^2 = |AD|^2 + |DB|^2\\\\|AD|^2 = |AB|^2 - |DB|^2\\\\|AD| = \sqrt{5^2 - \left( \dfrac{5}{2}\right)^2}[/tex]

(took positive root because of |AD| being length, which is a non-negative quantity).

SImplifying it, we get:

[tex]|AD| = \sqrt{5^2 - \left( \dfrac{5}{2}\right)^2}\\\\|AD| = \sqrt{\dfrac{5^2(4-1)}{4}} = \dfrac{5\sqrt{3}}{2} = \dfrac{5}{2} \times \sqrt{3} \: \rm units[/tex]

Thus,  the expression that represents the height of the triangular base of the pyramid is given by: Option B: (5/2)√3 untis

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

Step-by-step explanation:

Lateral Surface area = 48 cm^2

Total surface area = 118 cm^2

you didn't identify which were the Height, length and width.

I don't know if this would be the right answer.

Answer:

Step-by-step explanation:

Total number of marbles = 5 + 2 + 3 = 10

Probability of choosing 1 green marble = 2/10

Probability of choosing 1 yellow marble = 3/10

Notice (and this is important) that the denominator didn't change. Why?

Because you replaced the first marble into the bag. That word replacement is critical in a problem of this nature. There is the term non replacement which means that the second draw would have a denominator of 9.

So what is the probability of P(green then yellow)?

P(green then yellow) = 3/10 * 2/10 = 6/100

Answer: P(green then yellow) = 3/50 because 6 / 100 reduces.

Answer:

779

Step-by-step explanation:

Given Arithmetic series is: 150+143+136+…+(-102)+(-109)

Here,

First term (a) = 150

Common difference (d) = 143 - 150 = - 7

[tex]n^{th}\: term:\:a_n = -109[/tex]

The formula for [tex]n^{th}\: term[/tex] of an arithmetic series is given as:

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

Plugging the values of a, d and [tex]a_n[/tex] in the above formula, we will find the number of terms that exist from 150 to (-109)

[tex]-109 = 150+(n-1)(-7)[/tex]

[tex]\implies\: -109 -150=(n-1)(-7)[/tex]

[tex]\implies\: -259=(n-1)(-7)[/tex]

[tex]\implies\: \frac{-259}{-7}=(n-1)[/tex]

[tex]\implies\: 37=n-1[/tex]

[tex]\implies\: 37+1=n[/tex]

[tex]\implies\: n=38[/tex]

Thus, there are total 38 terms in the given Arithmetic series.

Now,

Sum of n terms of an arithmetic series is given by the formula: [tex]S_n=\frac{n}{2}(a +a_n)[/tex],

Plugging in the values, we find:

[tex]S_{38}=\frac{38}{2}[150 +(-109)][/tex]

[tex]\implies S_{38}=\frac{38}{2}[150 +(-109)][/tex]

[tex]\implies S_{38}=19[150 -109][/tex]

[tex]\implies S_{38}=19[41][/tex]

[tex]\implies S_{38}=779[/tex]

Finding the circumference of an object is important in the following scenarios: Whether you want to buy a bra, trousers, or sweater, you need to know the distance around your waist or chest.

Answer:

The least amount is 75 dollars.

The biggest amount is 125 dollars

Step-by-step explanation:

The absolute value function will help us determine a  range of possible values since we do not know the exact amount of money.

Defining the function.

Let x be the exact amount of money in my pocket, we can define the equation

And we know that the difference between the exact amount of money with 100 dollars must be either 25 dollars more than what we estimated, or 25 dollars less than the estimation.  So we can write:

We have a difference inside an absolute value, since we know the difference must be either +25 or -25.

Solving for x

Using the definition of absolute value we have

So if the inside of the absolute value is positive we have the first line of the piece-wise function, that is

Solving for x give us

If the inside of the absolute value is negative we have to use the second line of the piece-wise function definition

Solving for x give us

So the least amount of money in my pocket is 75 dollars and the biggest amount is 125 dollars.

Answer:

D

Step-by-step explanation:

The ratio of the width to the height would be 18:2, which simplifies to 9:1.

Answer:

12 6

then 32

and 3360

Step-by-step explanation:

The explicit formula is an= 12+ (n-1)6.

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Given:

12 18 24 30 . . . 198

a=12

d= 6

So, an= a + (n- 1)d

an= 12+ (n-1)6

Hence, the explicit formula is an= 12+ (n-1)6.

Learn more about tis concept here:

https://brainly.com/question/16001001

#SPJ2