The diagram shows that `/_A cong /_D` and `bar(AB) cong bar(DE)`. Which other statement do you need to prove triangle congruency through the SAS criterion?
A. /_C cong /_F
B. bar(BC) cong bar (EF)
C. /_B cong /_E
D. bar(AC) cong bar(DF)

Step-by-step explanation:

here's the answer to your question

Answer: Third Choice. 3i√3

Step-by-step explanation:

Concept:

Here, we need to know the idea of radical expression and an imaginary number.

A radical expression is any mathematical expression containing a radical symbol. If you need to multiply the number outside of radical back into the radical, then you need to square the number then multiply.

Imaginary numbers are the numbers when squared it gives the negative result. An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i² = −1.

Solve:

3√3 = √(3 × 3²) = √27     FALSE

-3√(3i) = √(3i × (-3)²) = √27i     FALSE

3i√3 = √(3 × (3i)²) = √-27     TRUE

3√(3i) = √(3i × 3²) = √27i     FALSE

As we can see from above, only the third choice equals √-27.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

150%

Step-by-step explanation:

is the correct answer

Answer:

The ratio of the perimeters of the first nonagon to the second is 3.6 to 1.

Step-by-step explanation:

Given that a regular nonagon has an area of 90 square feet, and a similar nonagon has an area of 25 square feet, to determine what is the ratio of the perimeters of the first nonagon to the second, the following calculation must be performed:

25 = 1

90 = X

90/25 = X

3.6 = X

Therefore, the ratio of the perimeters of the first nonagon to the second is 3.6 to 1.

Answer:

C

Step-by-step explanation:

the answer is C because only C contained it's correct root and power

Answer:

283

Step-by-step explanation:

Given problem is based on divisibilityy,

 = 780629/493

quotient = 1583

remainder = 210

So,Add 283 with remainder (210) to get 493

= 283+210

= 493

There for 283 should be added to 780629 so that the sum is exactly divisible by 493

The problem has come from division .

First divide them

[tex]\\ \sf\longmapsto \dfrac{480629}{493}[/tex]

[tex]\\ \sf\longmapsto Remainder=210[/tex]

[tex]\\ \sf\longmapsto Quiotent=1583[/tex]

Now We have to add x to the remainder by which it will be 493

[tex]\\ \sf\longmapsto x+210=493[/tex]

[tex]\\ \sf\longmapsto x=493-210[/tex]

[tex]\\ \sf\longmapsto x=283[/tex]

Answer:

(-16, 17)

Step-by-step explanation:

The range of the function will be (-16, 17)

The range of function f(x) = 3x + 2 overthe interval -6 < x < 5 is (-13,14)

The difference between the highest and lowest values.

The given function is  f(x) = 3x + 2

f(x) equal tp three times of x plus two.

The given interval is minus six less than x less than five.

-6 < x < 5

Which means the x values are -5, -4, -3, -2, -1, 0, 1, 2,3,4

Plus in the function

f(-5)=-15+2=-13

f(-4)=-10

f(-3)=-9+2=-7

f(-2)=-6+2=-4

f(-1)=-3+2=-1

f(0)=0+2=2

f(1)=3+2=5

f(2)=6+2=8

f(3)=9+2=11

f(4)=12+2=14

Hence the range of function f(x) = 3x + 2 overthe interval -6 < x < 5 is (-13,14)

To learn more on Range click:

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Answer:

c

Step-by-step explanation:

Answer:

D. ( f + g)(x) = 2x^3 + 3x^2 - 5x - 3

[tex]\\ \sf\longmapsto \frac{ - 3}{7} \leqslant - 4x \\ \\ \sf\longmapsto - 3 \leqslant 7( - 4x) \\ \\ \sf\longmapsto - 3 \leqslant - 28x \\ \\ \sf\longmapsto \ 3 \leqslant 28x \\ \\ \sf\longmapsto x \geqslant \frac{3}{28} [/tex]

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (- 4.5, 0 ) ← coordinates of intercepts

m = [tex]\frac{0-(-3)}{-4.5-0}[/tex] = [tex]\frac{0+3}{-4.5-0}[/tex] = [tex]\frac{3}{-4.5}[/tex] = - [tex]\frac{2}{3}[/tex]

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - [tex]\frac{2}{3}[/tex] x - 3 ← equation of line

Answer:

3043 (base 6)

Step-by-step explanation:

216      36    6    1

3           0      4  3

216* 3 = 648

6*4 = 24

1*3 = 3

648+24+3 = 675

Answer:

54

Step-by-step explanation:

p(x)=x^2+50, p(2)=2^2+50=54

P(x) = x² + 50

P(2) = 2² + 50

= 54

P(6) = 6²+50

= 86

P(7) = 7²+ 50

= 99

P(8) = 8²+50

= 114

P(9) = 9²+50

= 131

Answered by Gauthmath must click thanks and mark brainliest

This is of Both

Range = Highest - Lowest data

Range = 45 - 10

Range = 35

Only A

Range = 45 - 10

Range = 35

Only B

Range = 40 - 15

Range = 25

Must click thanks and mark brainliest

Answer:

10 5/16

Step-by-step explanation:

2 2/5 x 4 1/8 = 10 5/16

Answer:

The answer is B. 3

Step-by-step explanation:

The right angle points at side C which is the biggest side of a triangle and the smallest side is half of what side C is which is 3

The two stem plots (with and without splitting the leaves) are plotted below using the data given in the attached picture :

The stem and leaf plots are given below:

Rounding the data to the nearest 10;

The values obtained are :

630, 670, 740, 650, 710, 740, 720, 700, 650, 600, 780, 780, 790, 810, 830, 860, 860, 900, 810, 790, 790, 960, 870

Ordering the data allows for easier generation of the plot.

Ordered data : 600, 630, 650, 650, 670, 700, 710, 720, 740, 740, 780, 780, 790, 790, 790, 810, 810, 830, 860, 860, 870, 900, 960

The stem plot without splitting :

STEM __ LEAF

6 ___ 00, 30, 50, 50, 70

7 ___ 00, 10, 20, 40, 40, 80, 80, 90, 90, 90

8 ___ 10, 10, 30, 60, 60, 70

9 ___ 00, 60

KEY :  6 | 00 = 600

The stem plot WITH splitting :

STEM __ LEAF

6 ___ 00, 30

6 ___ 50, 50, 70

7 ___ 00, 10, 20, 40, 40

7 ___ 80, 80, 90, 90, 90

8 ___ 10, 10, 30

8 ___ 60, 60, 70

9 ___ 00

9 ___ 60

KEY :  6 | 00 = 600

The stem plot with splitting gives a cleaner and more arranged output of the data as the values aren't congested on a single line.

Learn more on stem and leaf plot : https://brainly.com/question/12857419?

Answer:

(-5,-37)

(-4,-34)

(-3,-31)

(-2,-28)

(-1,-25)

(0,-22)

(1,-19)

(2,-16)

(3,-13)

(4,-10)

(5,-7)

(6,-4)

Step-by-step explanation:

y - 10 = 3(x - 11)

y - 10 = 3x - 33

y = 3x -22

The standard deviation for the given data items is 2.6

The standard deviation of the given data items can be calculated by taking the square root of the variance.

Variance is a measure of variability and it is calculated by taking the average of squared deviations from the mean.

Hence, we will first determine the mean of the given data items.

Mean is simply the average of the numbers.

Therefore mean of the given data items is

[tex]Mean = \frac{9+11+11+16}{4}[/tex]

[tex]Mean = \frac{47}{4}[/tex]

Mean = 11.75

Now, for the variance of the data

[tex]Variance = \frac{(9-11.75)^{2}+(11-11.75)^{2}+(11-11.75)^{2}+(16-11.75)^{2} }{4}[/tex]

[tex]Variance = \frac{(-2.75)^{2}+(-0.75)^{2}+(-0.75)^{2}+(4.25)^{2} }{4}[/tex]

[tex]Variance = \frac{7.5625+0.5625+0.5625+18.0625}{4}[/tex]

[tex]Variance = \frac{26.75}{4}\\[/tex]

∴ Variance = 6.6875

But,

Standard deviation [tex]= \sqrt{Varinace}[/tex]

∴Standard deviation  [tex]=\sqrt{6.6875}[/tex]

Standard deviation = 2.586

Standard deviation ≅ 2.6

Hence, the standard deviation for the given data items is 2.6

Learn more on standard deviation here: https://brainly.com/question/18562832

Answer:

1st option,

y = x²/8 + x - 1

Answered by GAUTHMATH

Answer:

2,200

Step-by-step explanation:

6.6 x 10^10

= 66,000,000,000

3 x 10^7

= 30,000,000

66,000,000,000 ÷ 30,000,000

2,200

Answer:

2200.

Step-by-step explanation:

6.6 / 3  *  10^10/10^7

= 2.2 * 10^3

= 2200

Answer:

(x-3)^2+(y+1/2)^2=3.25

Step-by-step explanation:

The radius of the circle would be the midpoint of diameter. Radius is (3,-1/2) and the length would be 1.8.

Answer:

25%

Step-by-step explanation:

Formula to calculate the percent change :-

Change in distance from $12 per hour to $15 per hours = 15-12=3 per hour

Previous value = $12 per hour

Now, the percent change will be :_

Hence,  the percent change for  from $12 per hour to $15 per hour= 25%

(I copied this answer from JeanaShupp from question-11653373 [no links])

Answer:

5.3

Step-by-step explanation:

2×2×4/3

= 5.3 (rounded to the nearest tenth)

Answer:

(a)

[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]

(b)

[tex]P(2) = 640[/tex]

(c)

[tex]Length= 16[/tex]

[tex]Width = 8[/tex]

[tex]Height =5[/tex]

(d)

[tex]Volume = 640[/tex]

Step-by-step explanation:

Given

[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]

Solving (a): The prism dimension

We have:

[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]

Factor out 8x

[tex]P(x) = 8x(6x^2 + 7x + 2)[/tex]

Expand 7x

[tex]P(x) = 8x(6x^2 + 4x + 3x + 2)[/tex]

Factorize

[tex]P(x) = 8x(2x(3x + 2) +1( 3x + 2))[/tex]

Factor out 3x + 2

[tex]P(x) = 8x(3x + 2)(2x + 1)[/tex]

So, the dimensions are:

[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]

Solving (b): The volume when [tex]x = 2[/tex]

We have:

[tex]P(x) = 48x^3 + 56x^2 + 16x[/tex]

[tex]P(2) = 48 * 2^3 + 56 * 2^2 + 16 * 2[/tex]

[tex]P(2) = 640[/tex]

Solving (c): The dimensions when [tex]x = 2[/tex]

We have:

[tex]Length = 8x\\Width = 3x + 2\\Height = 2x + 1[/tex]

Substitute 2 for x

[tex]Length=8*2[/tex]

[tex]Length= 16[/tex]

[tex]Width = 3*2+2[/tex]

[tex]Width = 8[/tex]

[tex]Height = 2*2 + 1[/tex]

[tex]Height =5[/tex]

So, we have:

[tex]Length= 16[/tex]

[tex]Width = 8[/tex]

[tex]Height =5[/tex]

Solving (d), the volume in (c)

We have:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = 16 * 8 * 5[/tex]

[tex]Volume = 640[/tex]