Why are the triangles below congruent?

Answer:

Scale = ¼

Step-by-step explanation:

See attachment for complete question.

In the attached, we have.

Width = 4 units. ----- Orange

Width = 16 units ------- Black

Required

Determine the scale of dilation

The scale of dilation can be calculated as:

Scale = Width(orange)/Width (black)

Scale = 4/16

Scale = ¼

Hence, the scale of dilation is ¼

Answer:

I might be wrong but I think the answer Is 234!

I hope you do Great!!

Step-by-step explanation:

Answer:

[tex]\frac{2}{3} x + \frac{1}{3} - \frac{1}{3} x = \frac{1}{3} ( x - 1)\\\\ \\\frac{4}{3}x - \frac{4}{3} - \frac{2}{3} = \frac{4}{3} ( x - 1)\\\\( \frac{1}{3} x + \frac{2}{3} ) + ( -\frac{2}{3}x - \frac{4}{3}) = -\frac{1}{3} ( x + 2)\\\\(\frac{2}{3}x + \frac{1}{3} ) + (\frac{2}{3} x - \frac{2}{3} ) = \frac{1}{3} ( 4x - 1 )[/tex]

Step-by-step explanation:

Simplify each equation by combining like terms, and then factoring

[tex]\frac{2}{3} x + \frac{1}{3} - \frac{1}{3} x[/tex]

= [tex]\frac{1}{3} x + \frac{1}{3}[/tex]

= [tex]\frac{1}{3}[/tex] ( x + 1)

[tex]\frac{4}{3}x - \frac{4}{3} - \frac{2}{3}[/tex]

= [tex]\frac{4}{3}x - \frac{6}{3}[/tex]

= [tex]\frac{4}{3}[/tex] ( x - 1 )

[tex]\ ( \frac{1}{3} x + \frac{2}{3} ) + ( -\frac{2}{3}x - \frac{4}{3})[/tex]

=[tex]-\frac{1}{3}x - \frac{2}{3}[/tex]

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

[tex]\ (\frac{2}{3}x + \frac{1}{3} ) + (\frac{2}{3} x - \frac{2}{3} )[/tex]

= [tex]\ \frac{4}{3}x - \frac{1}{3}[/tex]

= [tex]\(\frac{1}{3}[/tex] ( 4x - 1)

Answer:

Step-by-step explanation:

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

[tex]2) \frac{4}{3}x-\frac{2}{3}-\frac{2}{3}=\frac{4}{3}x + \frac{(-2-2)}{3}\\\\\\[/tex]

                    [tex]=\frac{4}{3}x -\frac{4}{3}\\\\\\=\frac{4}{3}(x-1)[/tex]

[tex]3) (\frac{1}{3}x+\frac{2}{3})+(\frac{-2}{3}x-\frac{4}{3})=\frac{1}{3}x-\frac{2}{3}x+\frac{2}{3}-\frac{4}{3}[/tex]

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

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

                                    [tex]=\frac{4}{3}x-\frac{1}{3}\\\\\\=\frac{1}{3}(4x-1)[/tex]

Answer:

3.75

Step-by-step explanation:

you can search this up going like 75% of 15 and it will give the answer before you hit enter

A) Quadrant 1

B) Quadrant 3

C) Quadrant 1

D) Quadrant 4

E) Quadrant 2

Answer:

i think a,c,e

Step-by-step explanation:

Answer:5

Step-by-step explanation:

Answer:

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

Answer:

ok

Step-by-step explanation:

Answer:

1) Slope; -10

Y-intercept; (0,60)

Equation; y=−10x+60

2) Slope;-1/2

Y-intercept; (0,0)

Equation; y=−1/2x

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

Answer:

1.)

slope: -10

y-intercept: 60

equation: [tex]y=-10x+60[/tex]

2.)

slope: [tex]-\frac{1}{2}[/tex]

y-intercept: 0 (the line passes through the origin)

equation: [tex]y=-\frac{1}{2} x[/tex]

Explanation:

To find your slope you can use the equation [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex], plugging in the designated numbers from two ordered pairs you select from the chart.

Your y-intercept is the value found at y whenever x is equal to 0.

For your equation, you simply place your slope in front of x and add on your y-intercept.

Answer:

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

400*.25=100

400-100=300

Hope this helps!!

Answer:hi

Step-by-step explanation:

Answer:

Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg

Step-by-step explanation:

22.5 is 1/3 of 67.5

so compliment is 67.5.

Supplement is just adding another angle so I chose 7.

I did 22.5 x 7 = 157.5

Another example would be:

Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)

Hope this helps :)

Answer:

See Explanation

Step-by-step explanation:

[tex] \sec \: x - cos \: x = \sin \: x \tan \: x \\ \\ LHS = \sec \: x - cos \: x \\ \\ = \frac{1}{ \cos x} - cos \: x \\ \\ = \frac{1 - { \cos x}^{2} }{ \cos x} \\ \\ = \frac{ { \sin x}^{2} }{ \cos x} \\ \\ = \frac{ \sin \: x \times \sin x}{ \cos x} \\ \\ = \sin x \: tan x \\ \\ = RHS \\ \\ thus \: proved \\ [/tex]

Answer:

C. 60

Step-by-step explanation:

They all have a multiple f 60.

Answer:

12

Step-by-step explanation:

[tex]5(x - 3) + 11 = 4(x + 2) \\or \: 5x - 15 + 11 = 4x + 8 \\ or \: x = 12[/tex]

Answer:

x = 5 + 5y/4

Step-by-step explanation:

I think its like this: 4x - 5y = 20

Add 5y to both sides: 4x = 20 + 5y

Divide both sides by 4: x = 20/4 + 5y/4

Simplify: x = 5 + 5y/4

I'm pretty sure it is like this

Hope this helps!

Answer:

1 and 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope-intercept form : y=mx+b

[tex]y+1 = 4(x - 1)[/tex]

Expand :

[tex]4(x-1) =4x -4\\\\y+1 =4x-4[/tex]

Collect like terms and simplify

[tex]y=4x -4-1\\\\y=4x -5[/tex]

Answer:

2 & 5

Step-by-step explanation:

Answer:

It's 1 and 4

Step-by-step explanation:

Because the arrow is going to the left so that means x is less than -4 and those equations show that

Answer:

WHEN TEACHERS THINK THEIR STUDENTS ACTUALLY DID THE HOMEWORK -_-

Step-by-step explanation:

Answer:

1: there is no answer

2:C

3:B

4:A

Answer:

17/3 or 5 and 2/3

Step-by-step explanation:

All you have to do to find a reciprocal of a fraction is swap the numerator and denominator. If it is a whole number, then that number will be under 1.

false false false false false

Answer:

no the first on is true and the last one is false

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

9 + 10 × 2 × 8

9 + ( 10 × 2 × 8)

9 + (20×8)

9 + 160

169

Answer:

C. [tex]x^2y[/tex]

Step-by-step explanation:

Given the expression [tex](x^4y^2)^{\frac{1}{2} }\\[/tex]

Using the law of indices;

[tex](a^m)^n = a^{mn}[/tex]

[tex](x^4y^2)^{\frac{1}{2} }\\\\= (x^4)^{\frac{1}{2}} (y^2)^{\frac{1}{2} }\\= x^{4*1/2}y^{2*1/2}\\= x^{2}y[/tex]

Hence the correct answer is [tex]x^2y[/tex]

Answer:

Step-by-step explanation:

72.21 - 38.86 = ?

Hope this helps! <3

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

7 1 . 2 7

_- 3 8 . 8 6___

3 2 . 4 1

---> 32.41

Hope it helps you,

mark me as the brainliest.....

Follow me.......

Answer:

690 km will take it.for good condition

Step-by-step explanation:

mark me BRAINLIEST

Answer:

2, 4, 6, 8, 10, 12, 14

Step-by-step explanation:

8+8=16

6+10=16

4+12=16

2+14=16

Answer:

Step-by-step explanation:

The sequence is nor properly written. This is correct sequence

49, 36, 25, 16, 9, 4, 1...

Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.

The values of the sequence are all perfect squares.

Rewriting the sequence;

7², 6², 5², 4², 3², 2², 1²...

Now we can see that the base values for an arithmetic sequence as shown:

7, 6, 5, 4, 3, 2, 1...

We find the common difference of this sequence as shown

d = T2-T1 = T3-T2 = T4-T3

Given T1 = 7, T2 = 6, T3 = 5, T4 = 4

Substitute

d = 6-7 = 5-6 = 4-5 = -1

d = -1

Get the nth term using the sequence

Tn = a+(n-1)d

a is the first term

d is the common difference

n is number of terms

Tn = 7+(n-1)(-1)

Tn = 7+(-n+1)

Tn = 7+1-n

Tn = 8-n

Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;

Tn = (8-n)²

To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.