What is the congruence correspondence, if any, that will prove the given triangles congruent?

A. ASA
B. SSS
C. SAS
B. HL

[tex]\frac{11z}{z+3}=13-i,z\in\mathbb{C}[/tex]

First, multiply both sides by [tex]z+3[/tex],

[tex]11z=(13-i)(z+3)[/tex]

[tex]13z+39-iz-3i=11z[/tex]

Collect terms and put z on the left,

[tex]2z-iz=3i-39[/tex]

[tex]z(2-i)=3i-39[/tex]

[tex]z=\frac{3i-39}{2-i}[/tex]

Division of complex numbers is defined by multiplying both denominator and numerator with complex conjugate of the denominator,

[tex]z=3\frac{(i-13)(2+i)}{(2-i)(2+i)}[/tex]

Multiply out,

[tex]z=3\frac{2i-1-26-13i}{5}[/tex]

[tex]z=3\frac{-11i-27}{5}[/tex]

The result is,

[tex]z=-\frac{81}{5}-\frac{33}{5}i[/tex]

Hope this helps :)

Answer:

1000

Step-by-step explanation:

35^2: 1225

15^2: 225

1225 - 225

Answer:

b rectángulo de la referencia de los números que están por debajo de la construcción de un triángulo obtusangulo

Answer:

C. 10,080

Step-by-step explanation:

We can multiply to find how many minutes there are in 1 day.

24 * 60 = 1,440

Now, we can multiply that value by 7 to find out how many minutes there are in 1 week.

1,440 * 7 = 10,080

Best of Luck!

Answer:

(-4,-9)

Step-by-step explanation:

multiply (a,b)

Answer:

Step-by-step explanation:

Answer:

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Answer:

The sum of 4 consecutive odd number is 80

Let X be the first of these numbers

Then the next odd number is X+2

The third is X+4The fourth is X+6

All of these add up to 80

(X) + (X+2) + (X+4) + (X+6) = 80

Using the commutative and associative laws, let's transform this equation into

(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80

Subtract 12 from both sides of the equation gives4X = 68

Divide both sides by 4 gives

X = 17

Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!

Answer:

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es 17 es

Answer:

D.

Step-by-step explanation:

5/4=1.25, -2[tex]\sqrt{2}[/tex] = -2.828

Therefore,

1.25 (5/4), 1.04, -0.34, -2.828 (-2[tex]\sqrt{2}[/tex]), -17

Answer: 6 m

A ball thrown upwards from the altitude 4 m,

hits a roof and returns back to the ground.

upward movement:  s= −t²+3t+4

downward movement: s=-2t²+t+7

Step-by-step explanation:

Let's calculate the intersection:

[tex]- t^2+3t+4 =-2t^2+t+7\\\\t^2+2t-3=0\\\\t^2+3t-t-3=0\\\\t(t+3)-(t+3)=0\\\\(t+3)(t-1)=0\\\\t=-3 \ (exclude)\ or\ t=1\\\\if\ t=1 \ then\ s=-1^2+3*1+4=6\\\\height\ is\ 6\ m.\\[/tex]

Sorry, i have forgotten the picture.

Answer:

f'(1) = 7/2

Step-by-step explanation:

We are given the function: [tex]f'(x)=\frac{7}{2\sqrt{x} }[/tex]

To find f'(1), substitute the value for x and evaluate it.

[tex]f'(1)=\frac{7}{2\sqrt{1} }\\\\f'(1)=\frac{7}{2(1)}\\\\f'(1)=\frac{7}{2}[/tex]

Therefore, f'(1) = 7/2.

Answer:

53,800,013

need brainliest!!!

Answer:

boys : girl

5 : 6

Step-by-step explanation:

boys : girl

480: 576

Divide each side by 96

480/96 : 576/96

5 : 6

Boys = 576

Girl = 480

Now , dividing both numbers by GCF.

[tex] \large\bf{\red{ \longrightarrow}} \tt \: \frac{ \cancel{480} \: ^{5} }{ \cancel{576} \: ^{6} } \\ [/tex]

[tex] \large\bf{\red{ \longrightarrow}} \tt \: \frac{5}{6} \\ [/tex]

Answer:

15

Step-by-step explanation:

Complementary angles add to 90 degrees

8x+27 + 6x-21 = 90

Combine like terms

14x+6 = 90

Subtract 6 from each side

14x+6-6 = 90-6

14x = 84

Divide by 14

14x/14 = 84/14

x=6

We want angle B

B = 6x-21 = 6*6-21 =36-21 = 15

Answer:

x=-2

Step-by-step explanation:

3x+8x - 3 = -25

Combine like terms

11x -3 = -25

Add 3 to each side

11x -3+3 = -25+3

11x = -22

Divide by 11

11x/11 = -22/11

x = -2

[tex]\large\bf{\pink{ \longrightarrow \: }} \tt \:3x \: + \: 8x \: - \: 3 \: = \: - 25[/tex]

[tex]\large\bf{\pink{ \longrightarrow \: }} \tt \:11x \: - \: 3 \: = \: - 25[/tex]

[tex]\large\bf{\pink{ \longrightarrow \: }} \tt \:11x \: = \: - 25 \: + \: 3[/tex]

[tex]\large\bf{\pink{ \longrightarrow \: }} \tt \:11x \: = \: - 22[/tex]

[tex]\large\bf{\pink{ \longrightarrow \: }} \tt \: x \: = \: {\cancel\frac{ {- 22} \:^{ - 2} }{11}} \\ [/tex]

[tex]\large\bf{\pink{ \longrightarrow \: }} \tt \:x \: = \: - 2[/tex]

Answer:

24

Step-by-step explanation:

Answer and Step-by-step explanation:

I think the answer is 48.

We should add the 12 and 4, then multiply by 3. The 16 times 3 is to get the original amount of candies. To check, we go through the process using the number 48.

48 times 1/3 is 16. 4 of them are given to the brother, which leaves us with 12 remaining candies.

#teamtrees #PAW (Plant And Water)

Answer:

2/15 kilometers

Step-by-step explanation:

Multiply the distance by the fraction walked

2/5 kilometers * 1/3

2/5 * 1/3

2/15 kilometers

Answer:

Step-by-step explanation:

Point-slope equation for line of slope m that passes through (x₀, y₀):

y-y₀ = m(x-x₀)

Slope =3 and (x₀, y₀)=(-3,0)

y = 3(x+3)

y = 3x+ 9

:::::

Slope-intercept equation for line of slope m and y-intercept b:

y = mx+b

m=1 and b= -4:

y = x-4

Answer:

16 ft

Step-by-step explanation:

Each edge of wall = √256 ft = 16 ft

The question given above will require a good understanding of surd operation in order to arrive at the best answer. Thus, the answer to the question is:

[tex]\frac{7\sqrt{14} }{\sqrt{7}} = 7\sqrt{2}[/tex]

To solve this problem, we shall simply rationalise the denominator. This can be obtained as illustrated below:

[tex]\frac{7\sqrt{14}}{\sqrt{7}}\\\\Rationalise\\\\\frac{7\sqrt{14}}{\sqrt{7}} * \frac{\sqrt{7} }{\sqrt{7}}\\\\\frac{7\sqrt{14*7}}{\sqrt{7*7}}\\\\\frac{7\sqrt{98}}{\sqrt{49}}\\\\\frac{7\sqrt{98}}{7}\\\\\sqrt{98}\\\\\sqrt{98} = \sqrt{49*2} \\\sqrt{98} = \sqrt{49} * \sqrt{2} \\\sqrt{98} = 7\sqrt{2} \\\\Thus, \\\\\frac{7\sqrt{14}}{\sqrt{7}} = 7\sqrt{2}[/tex]

Therefore, from the calculations made above, the solution to the question is  7√2

Learn more: https://brainly.com/question/11225829

Formula-

If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}

Symbol that can be used-

The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

Hope it helps you... pls mark brainliest if it helped you.

Step-by-step explanation:

8 men can do 60 man days of work by dividing 60 man days by the 8 men, which gives us 60/8 = 7 1/2 da

Answer:

y=3/2x^2+4x-2

Hope it helps

Answer:

It's yes

Step-by-step explanation:

Answer:

yep

Step-by-step explanation:

number is even, so it can be evenly divided by 2. :)

Answer:

add 2 to every privious term

Step-by-step explanation:

-6+2=-4

-4+2=-2

-2+2=0

0+2=2

Answer:

y=2x-1

Step-by-step explanation:

Consider two points, (-2,-5) and (-1,-3)

slope = ((-3)-(-5))/((-1)-(-2))=2/1=2

b=-5-(2)×(-2)=-1

putting it into y=mx+c,

y=2x-1