Simplify using i.

3+2i
———
6+5i

Answer: They are related by the AAS postulate and they can be proven congruent.

Step-by-step explanation: You can see that one of the lines on each of the triangle has that little tick which means those lines are congruent. You can also see that for two of the angles one of them has one arc and the other has two arcs for BOTH triangles which makes those two angles congruent. Two angles and one side congruent makes the triangles congruent by the AAS postulate.

I hope I helped! :)

Answer:

I think you are right

Step-by-step explanation:                

Answer:

x=-2

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

50 is the sum

Step-by-step explanation:

-10+20=10

10+-40=-30

-30+80=50

Answer:

SSS

Step-by-step explanation:

the corresponding sides of the triangles are proportional to each other

Answer:

Step-by-step explanation:

According to Pythagoras Theorem,

[tex]{(height)}^{2} + {(base)}^{2} = {(hypotenuse)}^{2} [/tex]

[tex] = > {12}^{2} + {5}^{2} = {x}^{2} [/tex]

[tex] = > {x}^{2} = 144 + 25[/tex]

[tex] = > {x}^{2} = 169[/tex]

[tex] = > x = \sqrt{169} [/tex]

=> x = 13 (Ans)

Answer: 73 will be your answer hope this helped

Step-by-step explanation:

The rate of change  is the same amount of meat from Thursday to Friday is 14 Kilograms of meat

Here, the line graph shows the amount of meat in kilograms fed to the lions on each day of the week.

From the line graph the amount of meat fed to the lines on Thursday is 58 kilograms

And the amount of meat fed to the lines on Thursday is 72 kilograms

Let x represents the rate of change in the amount of meat from Thursday to Friday.

So, the value of x would be,

x = 72 - 58

x = 14 kilograms

Thus, the rate of change in the same amount of meat are fed to the alliance between Thursday and Friday = 14 kilograms

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Answer:

-4 *-4 *-4

= 16*-4

= ANWSER

-9*-9

=81

Step-by-step explanation:

Answer:

it would be 200 points. Lets assume that all of the apprentice magicians are 143 years old. If so, then 143 x 7 = 1001. 1001 + 200 = 1201. 1021 ÷ 8 (the number of magicians) the answer is 150. so the age of head wizard is actually 200 years.

Answer:

question 7 would be option 4 because its saying he has AT LEAST $5, which would mean he DOES have $5 or more. Which is why you would use the "more than or equal to" sign that was used in option 4.

question 8 would be option 1 because its a closed circle that includes the $5 and its going to the right.

Step-by-step explanation:

Answer:

Step-by-step explanation:

actual over theoretical times 100 equals ur percentage

Answer:

y =(2/3)x + 80

Step-by-step explanation:

to get the slope.. change in y/change in x  in two points.

so use the points (0,80) and (30,100) and you get 2/3

you know the intercept, where x=0 (0,80) therefore the equation is 2/3x + 80

Answer:

see explanation

Step-by-step explanation:

(a)

Given

[tex]\frac{y}{3}[/tex] + [tex]\frac{y+3}{5}[/tex]

The common denominator is 15 ( the LCM of 3 and 5 )

Multiply numerator/ denominator of first fraction by 5

Multiply the numerator/ denominator of second fraction by 3

= [tex]\frac{5y}{15}[/tex] + [tex]\frac{3y+9}{15}[/tex] ← add numerators , leaving denominator of 15

= [tex]\frac{5y+3y+9}{15}[/tex]

= [tex]\frac{8y+9}{15}[/tex]

(b)

Given

[tex]\frac{3x}{8}[/tex] - [tex]\frac{x+5}{4}[/tex]

The common denominator is 8 ( the LCM of 8 and 4 )

Multiply numerator/ denominator of second fraction by 2

= [tex]\frac{3x}{8}[/tex] - [tex]\frac{2(x+5)}{8}[/tex] ← simplify numerators leaving denominator of 8

= [tex]\frac{3x-2x-10}{8}[/tex]

= [tex]\frac{x-10}{8}[/tex]

Answer:

a) (8y + 9)/15.

b) (5x + 10)/8.

Step-by-step explanation:

(a)  y/3 + (y + 3)/5

     The LCD of 3 and 5  is 15 so we have:

     5y/15 + 3(y + 3)/15

      = (5y + 3(y + 3)) / 15

     = (5y + 3y + 9)/15

     = (8y + 9)/15.

b)  3x/8 + (x + 5)/4

     The LCD of 4 and 8  is 8 so we have:

     3x/8 + 2(x + 5)/8

      = (3x + 2x + 10) / 8

      = (5x + 10)/8.

Answer:

The numbers can be written as x and x + 1. Set the product of the numbers equal to 1,332 to get x(x + 1) = 1,332. You can solve the quadratic equation by using the quadratic formula, completing the square, or factoring. When you solve the quadratic equation, you find that x = –37 and 36. Since the question asked for positive integers, the only viable solution is x = 36. To solve for the larger integer, you add 1 to 36 to get an answer of 37.

Step-by-step explanation:

sample response

The first consecutive number is 36 and the second consecutive number is 37.

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Let the first consecutive number be x and the second consecutive number be (x+1).

The product of two consecutive positive integers is 1,332.

[tex]\rm x\times (x+1)=1332\\\\x^2+x=1332\\\\x^2+x-1332=0\\\\x^2+37x-36x-1332=0\\\\x(x+37)-36(x+37x)=0\\\\(x+37)(x-36)=0\\\\x+37=0, \ x=-37\\\\x-36=0, \ x=36[/tex]

(Ignoring the negative value of x).

The first consecutive number = x = 36

The second consecutive number = x+1 = 36 + 1 = 37

Hence, the first consecutive number is 36 and the second consecutive number is 37.

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Answer:

srry if you still need this asnwer but here you go my grades

Step-by-step explanation:

Answer:

the red one is the pre image because if there is two of the same letters then there is a dash behind the second letter.

Step-by-step explanation:

PLEASE GIVE BRAINLIEST!!!!

Answer:

D

Step-by-step explanation:

A polynomial is an expression with variables, and this expression does not have a variable. So, answer D is not a polynomial.

Answer:

x=-7

Step-by-step explanation:

-30=5(x+1)

6-1(x+1)

x=-1-6

=-7

The answer is [tex]x=-7[/tex]

Answer:

4√2

Step-by-step explanation:

If a square has a perimeter of 16,  then its side lengths are 4.

Use the pythagorean theorem to find the diagonal.

√32 can be simplified to 4√2.

The length of the diagonal of the square whose perimeter is 16 is 4√2

What is diagonal of the square?

The length of a diagonal is equal to the length of a side multiplied by the square root of 2

Given data ,

Let d be the diagonal of a square

Perimeter of square = 16

Perimeter of square = 4 x A

16 = 4 x A

A = 4

Therefore , diagonal of square is = 4√2

Hence ,The length of the diagonal of the square whose perimeter is 16 is 4√2

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Answer:

-9

Step-by-step explanation:

I just took the same test

Answer:

2pier = A x

Step-by-step explanation:

Step-by-step explanation:

a. 6 £/hr

b. 6.8 £/hr.....is this right?

Answer:

B) 1 hour = £10

Step-by-step explanation:

the higher rate starts from 20 hours and the pay is £120 if you go to 30 hours, the pay rate is £220. A raise of £100. This means the new pay rate is for every 1 hour worked, you get £10

Answer:

q= 49.5

Step-by-step explanation:

[tex] \frac{33}{q} = \frac{8}{12} [/tex]

Cross multiply:

8q= 33(12)

8q= 396

Divide by 8 on both sides:

q= 396 ÷8

q= 49.5

Answer:

-32

Step-by-step explanation:

-2 x -2 x -2 x -2 x -2 = -32