15th and 17th one pls
1st Correct answer will be marked as brainiest

15th And 17th One Pls1st Correct Answer Will Be Marked As Brainiest

Answers

Answer 1

Answer:

Answer of 15(i) is the picture . 15(ii) and 17 are solved

Step-by-step explanation:∆ABC where B=90°

→D is mod point of BC so CD=BD

To Prove:

→BC^2=4(AD^2-AB^2)

PROOF:--

In ∆ABD by pythagorus theorem we get,

AD^2=AB^2+BD^2

SO

➡️BD^2= AD^2-AB^2. (1)

NOW ,

BC= BD+CD

BC= 2BD (AS D IS MID POINT)

SQUAREING BOTH SIDES

BC^2= 4BD^2

BY EQUATION 1 WE GOT BD^2 = AD^2-AB^2

Putting this value

➡️BC^2= 4(AD^2-AB^2)

HENCE PROVED

-------------------------------------------------------------------------

17.

Construction : Draw AE ⊥ BC

Proof : In ∆ABE and ∆ACE, we have

AB = AC [given]

AE = AE [common]

and ∠AEB = ∠AEC [90°]

Therefore, by using RH congruent condition

∆ABE ~ ∆ACE

⇒ BE = CE

In right triangle ABE.

AB2 = AE2 + BE2 ...(i)

[Using Pythagoras theorem]

In right triangle ADE,

AD2 = AE2 + DE2

[Using Pythagoras theorem]

Subtracting (ii) from (i), we get

AB2 - AD2 = (AE2 + BE2) - (AE2 + DE2)

AB2 - AD2 = AE2 + BE2 - AE2 - DE2

⇒ AB2 - AD2 = BE2 - DE2

⇒ AB2 - AD2 (BE + DE) (BE - DE)

But BE = CE [Proved above]

⇒ AB2 - AD2 = (CE + DE) (BE - DE)

= CD.BD

⇒ AB2 - AD2 = BD.CD

Hence Proved.

15th And 17th One Pls1st Correct Answer Will Be Marked As Brainiest

Related Questions

Find an angle between 0° and 360° that is coterminal with –150°.​

Answers

Answer:

210 degrees

Step-by-step explanation:

-150 + 360 = 210

The angle between 0° and 360° is 210°

What is angle?

In plane geometry a figure is formed by "two ray or lines and that shares same point is called an angle".

What is co terminal angle?

Co terminal are angles in "standard position (angles with initial side along the positive x-axis) they have common terminal side".

According to the question,

The co terminal angle is 150°. The plane is formed by angle between 0° and 360°. In order to find angle is 150° + 360° = 210°.

Hence, the angle between 0° and 360° is 210°.

Learn more about angle here

https://brainly.com/question/16043115

#SPJ2

factorize:3x^{2} +4x-15

Answers

Answer:

(3x - 5) (x + 3)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant:

3 x -15 = -45

Find two factors of -45 that equals 4:

-5 + 9 = 4

Rewrite the polynomial splitting 4 using -5 and 9:

3x2 - 5x + 9x - 15

Add up the first 2 terms, pulling out like factors:

x • (3x-5)

Add up the last 2 terms, pulling out common factors:

3 • (3x-5)

Add everything up:

Answer

(x+3) (3x-5)

A coach wants to buy a soccer jersey for $25.99 and socks for &6.49 the prices include tax if he gives the cashier two $20 bills how much change should the coach expect?

Answers

Answer:

I think it might be $7.52

Use the figure to the right to find the value of PT. T is the midpoint of PO.

PT = 4x + 7 and TQ = 8x - 5

PT=

(Simplify your answer.)

Answers

Answer:

PT=19

Step-by-step explanation:

It is given that, T is the midpoint of PQ. If T is mid point, then it will bisect the line segment i.e.

PT=TQ

4x + 7=8x - 5

Subtracting 7 both sides

4x + 7-7=8x - 5-7

4x=8x-12

Subtracting 8x both sides

4x-8x=8x-12-8x

-4x=-12

4x=12

x=3

The value of x is 3.

Now,

PT =  4x + 7

= 4(3) + 7

=12+7

=19

Therefore, the length of PT is 19.

According to Teo's bread recipe, he should bake the bread at 190°C for 30 minutes. His oven measures temperature in °F. To what temperature in °F should he set his oven?​

Answers

Answer:

374 °F

Step-by-step explanation:

Data obtained from the question include the following:

Temperature (°C) = 190 °C

Temperature (°F) =?

Recall:

The conversion scale of temperature from °F to °C is given by the following equation:

C = 5/9(F – 32)

Next, we shall make F the subject of the formula. This can be obtained as follow:

C = 5/9(F – 32)

Cross multiply

5(F – 32) = 9C

Divide both side by 5

F – 32 = 9C/5

Rearrange

F = 9C/5 + 32

With the above formula, we can convert 190 °C to °F as follow:

Temperature (°C) = 190 °C

Temperature (°F) =?

F = 9C/5 + 32

F = 9 × 190/5 + 32

F = 1710/5 + 32

F = 342 + 32

F = 374 °F

Therefore, Teo will set the oven to 374 °F

Which number line best shows how to solve −10 − (−8)?

Answers

Answer:

A number line

Step-by-step explanation:


A line has a slope of 9 and passes through the point (1,5). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y= 9x -4

Step-by-step explanation:

Please see attached picture for full solution.

The integers here are 9 and -4.

There isnt a need to use fractions in this case and hence I did not write the integers into a fraction (e.g. -4 into [tex] \frac{ - 4}{1} [/tex]) since the question requires them to be in the simplest form.

Please help with this!​

Answers

Answer:  see attachment

Step-by-step explanation:

Which best explains why the two ratios below are in a proportional relationship?
2 to 3
8:12
A
because 2 times 4 is 8 and 3 times 4 is 12
B
because 8 minus 2 is 6 and 6 times 2 is 12
С
because 2 times 2 is 4 and 8 plus 4 is 12
D
because 8 minus 2 is 6 and 12 minus 3 is 9

Answers

I believe it’s A because that one makes sense the most

I just need b please


please also explain, this is one of the last problems i need to do for this!​

Answers

Answer:

[tex](\frac{3}{2} , -\frac{5}{4})[/tex]

Answer: They intersect at [tex](\frac{3}{2},-\frac{5}{4} )[/tex]

Step-by-step explanation:

x-2y = 4  

7x  + 2y = 8  

We will solve the equations using the substitution method so we will solve for y in one of the equations and  and substitute it into the other equation to solve for x.

x - 2y = 4  

-x         -x

-2y = 4 - 1x      Divide both sides by -2

y = 1/2 x - 2      Now use substitution

7x + 2( 1/2x -2) = 8  

7x + 1x - 4 = 8  

  8x -4 = 8

       +4   +4

8x = 12

x =  12/8   and simplifies to   3/2  

the value of x is 3/2  so plot it into one  of the equations and solve for y.  

7(3/2) + 2y = 8  

21/2  + 2y = 8

-21/2            -21/2

2y = -5/2  

y = -5/4

someone help me please

Answers

Answer:

  [tex]\dfrac{-20d^3t^2}{v^5}[/tex]

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

__

  [tex](4d^2t^5v^{-4})(-5dt^{-3}v^{-1})=(4)(-5)d^{(2+1)}t^{(5-3)}v^{(-4-1)}\\\\=\boxed{-20d^3t^2v^{-5}=\dfrac{-20d^3t^2}{v^5}}[/tex]

Solve: V=nr^2h ; for r.

Answers

Answer:

[tex]r=\sqrt{\frac{V}{nh} }[/tex]

Step-by-step explanation:

[tex]V=nr^{2}h\\\frac{V}{nh}=\frac{nr^{2}h }{nh}\\\frac{V}{nh}=r^{2}\\\sqrt{\frac{V}{nh} }=\sqrt{r^{2} }\\r=\sqrt{\frac{V}{nh} }[/tex]

Stella rewrites −212+3.7 as 3.7−212. Which property did she use? A. Additive Identity Property B. Additive Inverse Property C. Commutative Property D. Distributive Property

Answers

Answer:

Option C.

Step-by-step explanation:

It is given that Stella rewrites −212+3.7 as 3.7−212.

We need to find which property did she use.

According to commutative property of addition,

[tex]A+B=B+A[/tex]

Where, A and B are any real values.

In the given expression −212+3.7, A=-212 and B=3.7.

Using commutative property of addition, we get

[tex](-212)+3.7=3.7+(-212)[/tex]

[tex](-212)+3.7=3.7-212[/tex]

So, she used commutative property.

Therefore, the correct option is C.

If y represents a number, write an expression that represents the sum of y and a number one greater than y

Answers

Answer:

2y+1=0

Step-by-step explanation:

a number one greater than y is y+1

so sum of y and y+1= 2y+1

Answer:

2y+1=0

Step-by-step explanation:

a number one greater than y is y+1

so sum of y and y+1=2y+1

hope its helpful

Can someone help me find the answer to these 3 problems if so thank you .

Answers

Answer:

1. r+s²=49

2. pq²=24

3. -4xy-6x²+2x²y-6y= -54

Step-by-step explanation:

1. r+s²=0+7²=49

2. pq²=(6)(2)²=6(4)=24

3. -4xy-6x²+2x²y-6y= -4(3)(2)-6(3)²+2(3)²(2)-6(2)

                                = -24-6(9)+2(9)(2)-12

                                = -24-54+36-12

                                = -78+36-12

                                = -42-12

                                = -54

A manufacturer of widgets finds that the production cost, What is the selling price per widget as a function of the
C, in dollars per unit is a function of the number of number of widgets produced, and what should the
widgets produced. The selling price, S, of each widget in selling price be if 15 widgets are produced?
dollars is a function of the production cost per unit
C(x) = -0.1x2 + 100
O C(S(x)) = -0.196x2 + 100, $108.64
S(C) = 1.40
O C(S(x) = -0.196x2 + 100; $55.90
O S(C(x)) = -0.14x2 + 140; $144.41
O S(C(x)) = -0.14x2 + 140, $108.50

Answers

Answer:

S(C(x)) = –0.14x2 + 140; $108.50

Step-by-step explanation:

did the assignment

Answer:

D

S(C(x)) = -0.14x2 + 140, $108.50

Is the range correct for this problem? ​

Answers

Answer:

See below.

Step-by-step explanation:

So, looking at the graph (and you graphed correctly, so nice job :D ) we can see that the range (the span of y-values) covered by the graph is everything less than or equal to 0. Therefore, our range should be all values less than or equal to 0. And this includes 0.

Therefore, in interval notation, our answer is:

[tex](-\infty,0][/tex]

Your answer of:

[tex](0,-\infty)[/tex]

is incorrect for 2 reasons.

First, we need to use brackets for the 0 since we include it in our solution set. (5,0) is a valid point in the equation (it's also the vertex). Thus, we need to use brackets.

Second, traditionally, the smaller unit comes first. 0 is technically greater than negative infinity. Yes, the graph does go from 0 to negative infinity, but conventionally, we would still write negative infinity first.

And everything else is correct (maybe you forgot to add "flipped over x-axis for the first question," however?) so nice work!

the volume of a eraser is 9.6cm³. if its height is 0.8cm find the area of its base​

Answers

Answer:

the area of its base​=12 cm²

Step-by-step explanation:

volume=base*height

9.6=b*0.8

base=9.6/0.8=12 cm²

If an object is projected upward with an initial velocity of 123 ft per​ sec, its height h after t seconds is h=−16t2+123t. Find the height of the object after 5 seconds.

Answers

Answer:

Height after 5 seconds is 215 ft

Step-by-step explanation:

Given that:

The initial velocity of object which is projected upwards is 123 ft/sec.

Height of the object, h after time t in seconds,  is given as:

[tex]h=-16t^2+123t[/tex]

Here, t will always be positive, so [tex]123t[/tex] and [tex]16t^2[/tex] will also be positive.

But coefficient of [tex]16t^2[/tex] is negative, that means something is subtracted from the positive term [tex]123t[/tex].

To find:

Height of object after 5 seconds.

Solution:

Given that [tex]t=5[/tex] seconds.

Let us put the value in the given relation of [tex]h[/tex] and [tex]t[/tex]:

[tex]h=-16\times 5^2+123 \times 5\\\Rightarrow h=-400+615\\\Rightarrow \bold{h = 215\ ft}[/tex]

So, height after 5 seconds is 215 ft.

∠A and \angle B∠B are vertical angles. If m\angle A=(3x-30)^{\circ}∠A=(3x−30) ∘ and m\angle B=(2x-9)^{\circ}∠B=(2x−9) ∘ , then find the value of x.

Answers

Answer:

x = 21

Step-by-step explanation:

Vertical angles are congruent, this

3x - 30 = 2x - 9 ( subtract 2x from both sides )

x - 30 = - 9 ( add 30 to both sides )

x = 21

1. F(x) = (x-1)2 + 5
What is Transformation for this function

Answers

Answer: f(x)= 2x+3

Step-by-step explanation: f(x)=(x-1)2+5

2x-2+5

F(x)=2x+3

Mrs. Jensen bought jeans on sale online. The total cost, c, in dollars of j pairs of jeans can be found by using the function below. c=15j+4.50 If Mrs. Jensen spent a total of $49.50 on the jeans, how many pairs did she buy? a j=747 b j=755 c j=2 d j=3

Answers

The answer is D. j = 3

c = 15(3) + 4.50

c = 45 + 4.50

c = $49.50

What shape is produced when slicing a right rectangular prism perpendicular to
the base?

Answers

Answer:

  rectangle

Step-by-step explanation:

If the slice is perpendicular to the base, it can intersect at most two lateral faces and the parallel base. Hence the shape produced will be a rectangle.

If m = 8, how many solutions are there to the expression 7m?

Answers

Answer:

7m and m = 8

7(8) = 56 one solution and that solution is 56

Step-by-step explanation:

Answer:

Hey there!

There is only one solution.

 

7(8)=56. It cannot be anything else.

Let me know if this helps :)

please help:
The Atlantic Ocean covers about 3.2 x 10' square miles. The
Pacific Ocean covers about 6.4 X 10' square miles.
About how much area does the Atlantic Ocean and Pacific
Ocean cover?
OA) 3.2 x 10' square miles
OB) 9.6 X 10' square miles
OC) 3.2 x 1024 square miles
OD) 9.6 x 100 square miles

Answers

Answer: the answer is B

Step-by-step explanation:

3.2•10= 32

6.4•10=64

32+64= 96

9.6•10=96

Hope this helps

A bird flies from the bottom of a canyon that is 51 3/10 feet below sea level to a nest that is 737 1/10 feet above sea level.

Answers

Answer:

The bird would have to fly up 685.8 feet up.

Step-by-step explanation

If we are talking about how much the bird wants to fly up to the nest, then it would be 685.8 ft up.

first,

you take the fractions which are (-51 3/10) and (737 1/10)

Then we make them decimals to be easier (on my pov) Then we have

-51.3 and +737.1

Next we add 737.1+(-51.3)

which equals 685.8 feet.

Answer quick please and thank you

Answers

Answer: 32 square cm

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

Work Shown:

L = length = 2 cm

W = width = 2 cm

H = height = 3 cm

SA = surface area of rectangular prism (aka rectangular block)

SA = 2*(LW + LH + WH)

SA = 2*(2*2 + 2*3 + 2*3)

SA = 2*(4+6+6)

SA = 2*(16)

SA = 32 square cm

An $80.00 coat is marked down 20%. It does not sell, so the shop owner marks it down an additional 15%. What is the new price of the coat in dollars?

Answers

Answer:

$54.40

Step-by-step explanation:

First, find the new price after the 20% markdown:

80(0.8)

= 64

Then, find the price with the 15% markdown:

64(0.85)

= 54.4

So, the new price of the coat is $54.40

Mya buys 4 pounds of turkey and 2 pounds of ham.she pays a total of $30,and the turkey cost $1.50 less than the ham.what would be the combined cost of 1 pound of ham and 1 pound of turkey?

Answers

Answer:$10.50

Step-by-step explanation:

Let t = cost per pound of turkey

Let h = cost per pound of ham

4t + 2h = 30

t = h - 1.5

substitute h-1.5 in place of t in 1st equation

4(h-1.5) + 2h = 30

4h - 6 + 2h = 30

6h - 6 = 30

6h = 36

h = 6

t = h-1.5 = 4.5

1 pound of turkey costs $4.50

1 pound of ham costs    $6.00

                                ----------

cost of 1 pound each  $10.50

What is 1/6 times 1/8

Answers

Answer:

1/48 or 0.02083 in decimal form

Step-by-step explanation:

Answer:

1/48

Step-by-step explanation:

1*1=1

6*8=48

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