Need done ASAP
Mr. Brauch tells Granny that there's no way that ABC =
ADEF. Granny tells
him That they are not only congruent, but she can prove it by SSS. Who is right?

[tex]\large\underline{\sf{Solution-}}[/tex]

First equation is

[tex]\rm \longmapsto\:(x - a)(y - b) = (x - 2a)\bigg(y -\dfrac{b}{2}\bigg) [/tex]

can be further simplified to

[tex]\rm \longmapsto\:xy - bx - ay + ab = xy - \dfrac{bx}{2} - 2ay + ab[/tex]

[tex]\rm \longmapsto\: - bx - ay = - \dfrac{bx}{2} - 2ay [/tex]

[tex]\rm \longmapsto\: - bx + \dfrac{bx}{2} = - 2ay + ay[/tex]

[tex]\rm \longmapsto\: - \dfrac{bx}{2} = - ay[/tex]

[tex]\rm \longmapsto\: \dfrac{bx}{2} = ay[/tex]

[tex]\rm \longmapsto\:bx = 2ay[/tex]

[tex]\rm:\longmapsto \:\boxed{\tt{ bx - 2ay = 0}} - - - - (1)[/tex]

Second equation is

[tex]\rm \longmapsto\:x\bigg(x + \dfrac{1}{2b} \bigg) + y \bigg(y + \dfrac{a}{2}\bigg) - 2xy = 5 + {(x - y)}^{2} [/tex]

[tex]\rm \longmapsto\: {x}^{2} + \dfrac{x}{2b} + {y}^{2} + \dfrac{ay}{2} - 2xy = 5 + {x}^{2} + {y}^{2} - 2xy[/tex]

[tex]\rm \longmapsto\: \dfrac{x}{2b} + \dfrac{ay}{2} = 5[/tex]

[tex]\rm \longmapsto\: \dfrac{x + aby}{2b} = 5[/tex]

[tex]\rm :\longmapsto\:\boxed{\tt{ x + aby = 10b}} - - - (2)[/tex]

So, we have two equations in simplest form as

[tex]\rm \longmapsto\:bx - 2ay = 0 [/tex]

and

[tex]\rm \longmapsto\:x + aby = 10b[/tex]

Now, Consider

[tex]\rm \longmapsto\:\dfrac{a_1}{a_2} = \dfrac{b}{1} = b[/tex]

[tex]\rm \longmapsto\:\dfrac{b_1}{b_2} = \dfrac{ - 2a}{ab} = - \dfrac{2}{b} [/tex]

[tex]\bf\implies \:\dfrac{a_1}{a_2} \: \ne \: \dfrac{b_1}{b_2} [/tex]

This implies, System of equations is consistent having unique solution.

So, The student is correct as lines are intersecting.

So, option (b) is correct.

Answer:

ok so it will be 16-bit

Step-by-step explanation:

Answer:

Corresponding

Step-by-step explanation:

They are on the same side which makes them corresponding angles

The answer is B It basically just expressing the 2×(6+9)

The expression 2 × (6 + 9) = (2 × 6) + (2 × 9) represents the distributive property option (B) is correct.

The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example we can write a(c+b)  in the form of (ac+bc).

We have an expression:

= 2 × (6 + 9)

After applying the distributive property:

= (2 × 6) + (2 × 9)

= (12) + (18)

= 30

Thus, the expression 2 × (6 + 9) = (2 × 6) + (2 × 9) represents the distributive property option (B) is correct.

Learn more about the distributive property here:

brainly.com/question/5637942

#SPJ2

let x be the flour

now

or,(21/2)+x=42/3

or,(21+2x)/2=42/3

or, 3(21+2x)=42×2

or, 63+6x=84

or,6x=84-63

or, 6x =21

or, x=21/6

thus she need 21/6 cups of flour

Answer:

when -2 , y = 1

when 0, y = -5

when 2, y = -3

when 3, y = 1

when 4, y = 7

Answer:

a) s[n] = 1.05s[n-1] +1000; s[0] = 50,000

 b) $83,421.88

 c) s[n] = 70000·1.05^n -20000

Step-by-step explanation:

a) Let s[n] represents the employee's salary in dollars n years after 2017. The salary in 2017 is given as $50,000, so ...

 s[0] = 50000 . . . . the recursion relation initial condition

The next year, the salary is multiplied by 1.05 and 1000 is added:

 s[1] = 1.05·s[0] +1000

This pattern repeats, so the recursion relation is ...

 s[n] = 1.05·s[n-1] +1000

__

c) It is convenient to find a formula for the salary before trying to compute the salary 8 years on. So, we work part (c) before part (b).

The base salary gets multiplied by 1.05 each year, so can be described by the exponential function ...

 base salary after n years = 50,000·1.05^n

The add-on to the raise becomes a geometric sequence whose common ratio is 1.05. The sum can be described by the formula for the sum of such a sequence:

 sum = a1(r^n -1)/(r -1) . . . . . (see note below)

 sum of add-ons = 1000(1.05^n -1)/(1.05 -1) = 20000(1.05^n -1)

So, the total salary after n years is ...

 s[n] = 50000·1.05^n + 20000(1.05^n -1)

The exponential terms can be combined, so we have the explicit formula ...

 s[n] = 70000·1.05^n -20000

__

b) The year 2025 is 8 years after 2017, so we want to find s[8].

 s[8] = 70000·1.05^8 -20000 = 70000·1.4774554 -20000

    = 103,421.88 -20000 = 83,421.88

In 2025, the employee's salary will be $83,421.88.

_____

Note on the sum of the add-ons

A geometric sequence starts with term a1 and gets multiplied by a ratio r to make the next term: a2=r·a1; a3=r²·a1, ....

The sum of such a geometric sequence has the formula

 Sn = a1·(r^n -1)/(r -1)

Here, the sequence starts in year 1 with a1=1000 and has a common ratio r=1.05. The denominator of the sum is r-1 = 0.05 = 1/20, so the sum can be written as

 Sn = 20000·(1.05^n -1).

Answer:

Use the trend line to predict the number of Umbrellas sold in a month, if there were 10 rainy days. Draw the vertical line from 10 on the horizontal axis to the trend line. Then, draw horizontal line to the vertical axis from the trend line as shown below. Number of Umbrellas sold in the month is about 9, if there were 10 rainy days.

164449 avatar

I searched your answer and this came up, I'd answer but it wont let me sadly, but hopefully this will help??

Step-by-step explanation:

Answer:

8.75 per hour

Step-by-step explanation:

Since it is a linear function we can use the slope formula

m = ( y2-y1)/(x2-x1)

  = ( 370-20)/(40-0)

  =350/40

 = 8.75

Answer:

Undefined

Step-by-step explanation:

the equation for slope is y2-y1/x2-x1

(-2-6)/(-7-(7))= -8/0

This would leave you with an undefined slope.

Answer: 50

Step-by-step explanation:

[6+√-64] × 3-√-16

(6+8i)(3-4i)

6(3-4i)+8i(3-4i)

18-24i+24i+32

18+32=50

Answer:

fifty

Step-by-step explanation:

fifty

Answer:

=3x+5

Step-by-step explanation:

Let's simplify step-by-step.

5x+5−2x

=5x+5+−2x

Combine Like Terms:

=5x+5+−2x

=(5x+−2x)+(5)

=3x+5

Answer:

=3x+5

Answer:

[tex]\boxed{\boxed{\sf 3x+5 }}[/tex]

Step-by-step explanation:

[tex]\sf (5x+5)-2x[/tex]

[tex]\sf \left(a\right)=a[/tex]

⇒ First step is to get rid of expression parentheses:

[tex]\longmapsto[/tex] [tex]\sf 5x+5-2x[/tex]

⇒ Now, we need to combine like terms:

[tex]\longmapsto[/tex] [tex]\sf (5x-2x)[/tex] [tex](5)[/tex]

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

__________________________________

Answer:

if you want to know the x is.

Step-by-step explanation:

(180°－4x)+(180°－6x)+2x=180°

x=22.5°

Answer:

ㅛ해 주는 것이 좋다 나쁘다 라고 말하는 것은 아니다 싶으면 이 때 가장 중요한 역할을 하는 것 같다 ㅛ요톸 매매 ㅑ져뎌 재료 본연의 맛과 향을 느낄 수도 있다 보니

Step-by-step explanation:

we will add 3+37=40

40/8=5

mark me brainlist plz

Answer:

You have to add a certain amount of a number to 3 7/8 to make five. Or the easy way, 5 - 3 7/8 = 1 1/8

Step-by-step explanation:

If you want can you make me brainlyist?

Also, I hope this helped!

Answer:

Missing reason/statements:

Divide 47 by 14:

Answer 3.357

Rounded to nearest hundredth: 3.36

Answer:

4

Step-by-step explanation:

The √11 is ≈ 3.3166....

So the first whole number GREATER than 3.3166 is 4

-Chetan K

Answer:

√11 = 3.3166

The first whole number greater than 3.3166 is 4

Hope This Helps!

Answer:

1. 2/5

2. 3/20

3. 6 1/9

4. 1/5

5. 11

6. 1

7. 3/13

8. 1 5/11

9. 2

10. 6 1/2

11. 20/27

12. 2 3/16

13. 4 13/18

14. 1 45/98

Hope this helps!

Step-by-step explanation:

vâng vì phụ nữ là những người tán gẫu

9514 1404 393

Answer:

Step-by-step explanation:

Solution of the system by the usual means yields the parametric equations ...

  (a², b², c²) = (41 +t, t -7, 2t)

Since we want t-7 to be a perfect square, we can let ...

  t -7 = n²

  t = n² +7

Then the solutions are ...

  (a, b, c) = (±√(n²+48), n, ±√(2(n² +7)))

The only integer solutions are for n=±1 and n=±11. Then the 16 possible triples are ...

  (±7, ±1, ±4) and (±13, ±11, ±16) . . . where the signs can have any combination

Divide total pay by hourly rate:

522 / 22.50 = 23.2 hours

Answer: 23.2 hours

Answer:

110º

Step-by-step explanation:

a triangle has 180º total

so 180-35-35

110

the missing angle in the traingle on top is congruent to angle b

Answer:

10/48 - 2/24 - 1/12

Step-by-step explanation:

answer is 1/12

Answer:

Step-by-step explanation:

Use the ratio below:

Solve for x:

Step-by-step explanation:

[tex]\sf\longmapsto \: \$ 17 = 3 \: hours[/tex]

[tex]\sf\longmapsto \: \$ 1 = x[/tex]

Now, Solve x–

[tex]\sf\longmapsto17x = 3[/tex]

[tex]\sf\longmapsto \: x = \frac{3}{17} \: hours \: per \: dollar[/tex]

Therefore,for 3/17 hours of bike a customer get per dollar.

Answer:

She pays 11.40 for the roast

Find unit rate then multiply

Answer:

11

Step-by-step explanation:

f(16) = 7 + 16/4

= 7 + 4

= 11

Answer:

28.5

Step-by-step explanation:

1/2 is 0.5 as a decimal.

That would mean that 28 1/2 is the same as 28.5.

Hope this helps! Brainliest would be really appreciated!

Answer:

Option C): f(x) = 3x - 4.

Step-by-step Explanation:

A linear function in slope-intercept form is given by f(x) = mx + b where:

We can solve for the slope by using the following formula:

[tex]\displaystyle\mathsf{Slope\:(m)\:=\:\frac{Rise}{Run}\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)}[/tex]

Choose two points from the graph and substitute their values into the slope formula.

[tex]\displaystyle\mathsf{Slope\:(m)\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)\:=\:\Bigg(\frac{2-(-4)}{2-0}\Bigg)\:=\:\Bigg(\frac{2+4}{2}\Bigg)\:=\:\frac{6}{2}\:\:=\:3}[/tex]

Therefore, the slope of the line is 3.

As defined in the previous section of this post, the y-intercept (0, b) is the point on the graph where it crosses the y-axis.  We can see that the line intersects the y-axis at point (0, -4). This means that the value of our y-intercept, b, is -4.

Alternatively, we can solve for the y-intercept (b) by choosing a point on the graph and substitute its values into the slope-intercept form.

We will use and substitute the values of (x₁, y₁) and the slope into the function to solve for b.

f(x) = mx + b

⇒  2 = 3(2) + b

⇒  2 = 6 + b

⇒  2 - 6 = 6 - 6 + b

⇒  -4 = 0 + b

⇒  - 4 = b

Hence, the value of the y-intercept is: b = 4.

Based from our calculations, we can infer that the linear function that matches the graph is Option C: f(x) = 3x - 4.

Linear functions

Linear equations

Slope-intercept form

_______________________________

Learn more about Linear Functions here: https://brainly.com/question/26351470

Learn more about Point-slope form here: https://brainly.com/question/26681302  

Answer:

f(x)=3x-4

Step-by-step explanation: